Homeschool · Diploma track · Grade 12

Economics

A one-semester course in economics for grade 12, built to be the student's whole instruction in the subject rather than a supplement. California requires a semester of economics for graduation, and the state's content standards for it run from 12.1 to 12.6 with thirty numbered sub-standards between them. This course has thirty lessons, one for each. Economics is taught here as a way of reasoning rather than a set of definitions: what a price actually is, why a shortage is different from scarcity, and what a model predicts that could turn out to be wrong.

DIPLOMA TRACK CA HSS ECON 12.1-12.6 GRADE 12 ONE SEMESTER MODEL ANSWERS 30 LESSONS 360 PRACTICE QUESTIONS 6 ESSAY PROMPTS Algebra 1 or equivalent, for reading graphs and working with percentages. No prior economics.

Course overview

What this semester covers

California's History-Social Science standards set economics as a one-semester course in grade twelve, and they specify it more precisely than most: six standards containing thirty numbered sub-standards, from the causal relationship between scarcity and choice through to how exchange rates are determined. This course devotes one lesson to each of those thirty, so nothing in the state's specification is covered in passing and nothing is invented to fill space. Unit 1 is economic reasoning itself. Unit 2 is the largest, because the state's standard 12.2 on the market economy contains ten sub-standards, covering supply and demand, price as a signal, price controls, competition, profit, financial markets and the economics of location. Unit 3 takes the federal government's role including fiscal and monetary policy, unit 4 the labor market, unit 5 the aggregate measures, and unit 6 international trade. The through-line is that economics makes predictions, and a prediction can be checked. Every model is taught with a worked numeric example, the assumptions it depends on, and at least one case where it gets the answer wrong.

  • U1Unit 1: Economic Reasoning5 lessons
  • U2Unit 2: The Market Economy10 lessons
  • U3Unit 3: Government and the Economy4 lessons
  • U4Unit 4: The Labor Market4 lessons
  • U5Unit 5: Measuring the Whole Economy3 lessons
  • U6Unit 6: International Trade4 lessons

All six units are open, 30 lessons in all. Every lesson opens with the method, one extended worked example, and ten practice problems. Every problem has a full worked solution, so you can find the step where yours went wrong. Each unit closes with a ten-problem mixed review.

Free preview: open any 5 lessons without an account. The counter on the left keeps track.

Lesson 1.1 · Unit 1 · CA HSS 12.1.1

Scarcity, and why it forces choice

Economics begins with one observation: people want more than there is. Everything else in this course follows from working out what that fact implies, and the first implication is that choosing is not optional.

The key ideas
  1. Scarcity is the condition in which wants exceed the resources available to satisfy them.
  2. Scarcity is not shortage. A shortage is a temporary gap at a particular price and can be eliminated; scarcity is permanent and cannot.
  3. Scarcity is not poverty either. A wealthy person faces scarcity of time and attention, which is why the very rich still refuse invitations.
  4. Because resources are scarce, every use of one excludes another use, which is what makes choice unavoidable.
  5. The factors of production are land, labor, capital and entrepreneurship, and each is limited at any moment.
  6. Every economy must answer three questions: what to produce, how to produce it, and who receives what is produced.
  7. A free good has no scarcity because it is available in greater quantity than anyone wants at a price of zero, and genuine examples are rare.

Where students lose marks: writing that scarcity means there is not enough of something. Scarcity is a relationship between wants and resources, not a property of the resource, which is why a plentiful thing can still be scarce.

Worked example

Constructed arithmetic. An invented town council with a fixed budget. Establish that choice is forced, not chosen.

The setup. The council has 4,000,000 currency units for the year. The proposals before it are: repave the main road, 1,800,000; build a library, 2,400,000; hire twelve more teachers, 1,500,000; extend the water main, 900,000; build a clinic, 2,200,000.

Step one: total the proposals. 1,800,000 plus 2,400,000 plus 1,500,000 plus 900,000 plus 2,200,000 equals 8,800,000. The council has 4,000,000.

Step two: state what that establishes. The requests exceed the resources by 4,800,000. The council cannot do everything, and this is true regardless of how well it is run, how honest its members are, or how badly each project is needed. Scarcity produces the problem; management does not.

Step three: notice that refusing to choose is a choice. If the council adjourns without deciding, none of the five projects happens. Doing nothing is one of the available options and it has consequences like any other, so inaction does not escape the problem.

Step four: test whether more money would fix it. Suppose the budget rises to 8,800,000 and everything is funded. The council will then discover proposals it had not bothered to submit: a second clinic, a bus service, a park. Wants expand, which is why scarcity is permanent and shortage is not.

Step five: distinguish shortage from scarcity concretely. If the town runs out of bottled water during a heat wave, that is a shortage: raise the price or ship more in and it ends. The council's budget problem does not end, because there is no price at which wants stop exceeding resources.

Step six: apply the three questions. What to produce is which projects get funded. How to produce is whether the council hires directly or contracts the work out. Who receives is which neighborhoods get the road and the clinic. Every economy answers these three, and the council is answering them in miniature.

Step seven: identify the scarce factors. Money is only the visible one. There are also a limited number of qualified teachers available to hire, a limited number of weeks in the construction season, and a limited amount of council attention for supervising projects. Adding money does not create any of those.

Step eight: state the conclusion in the form the standard asks for. The causal relationship runs from scarcity to the necessity of choice: because resources are insufficient for all desired uses, committing a resource to one use necessarily forgoes another, and someone must decide which. That decision is what economics studies.

Practice · 10 questions

Questions 1 to 5 are recall. Questions 6 to 10 ask for reasoning.

  1. Define scarcity.
    Show the full solution

    The condition in which wants exceed the resources available to satisfy them

  2. Name the four factors of production.
    Show the full solution

    Land, labor, capital and entrepreneurship

  3. State the three questions every economy must answer.
    Show the full solution

    What to produce, how to produce it, and who receives what is produced

  4. Define a free good.
    Show the full solution

    One available in greater quantity than anyone wants at a price of zero

  5. Distinguish scarcity from shortage in one sentence.
    Show the full solution

    A shortage is a temporary gap at a particular price and can be eliminated; scarcity is permanent and cannot

  6. Show from the council's figures that choice is forced rather than chosen.
    Show the full solution

    The five proposals total 8,800,000 against a budget of 4,000,000, so requests exceed resources by 4,800,000 and at least one project cannot proceed. That gap does not depend on how competently or honestly the council operates, and it does not depend on how badly each project is needed. Even adjourning without deciding is a choice, since it funds none of them. The necessity comes from scarcity itself. Requests exceed the budget by 4,800,000, so something must be refused whatever the council does

  7. Why would a larger budget not eliminate the problem?
    Show the full solution

    Because wants expand to meet whatever resources exist. If the budget rose to 8,800,000 and every current proposal were funded, the council would immediately face requests it had not previously bothered to submit: a second clinic, a bus service, a park, higher salaries. The gap reappears at the new level. That is precisely the difference between scarcity, which is a permanent relationship, and a shortage, which is a temporary gap that can be closed. Wants expand to meet resources, so the gap reappears at any budget

  8. Explain why a wealthy person still faces scarcity.
    Show the full solution

    Because scarcity is a relationship between wants and resources rather than a property of any particular resource, and some resources cannot be bought. A wealthy person has the same twenty-four hours as everyone else and the same finite attention, so accepting one invitation still means declining another and reading one book still means not reading a different one. Money relieves scarcity of goods without touching scarcity of time. Time and attention remain limited however much money someone has

  9. Identify the scarce factors in the council's situation besides money.
    Show the full solution

    There are a limited number of qualified teachers available to hire in that area, so funding twelve posts does not guarantee twelve teachers. There is a limited construction season, so two large building projects may not both fit into one year. And there is a limited amount of council attention for supervising work, which is why organizations that attempt everything at once execute badly. None of those constraints is relieved by more money. Available qualified labor, construction time, and administrative attention

  10. State the causal relationship between scarcity and choice precisely.
    Show the full solution

    Resources are insufficient to satisfy all desired uses, so committing a resource to one use necessarily means forgoing every other use of it, and someone must therefore decide which use it serves. Choice is not a preference for deciding things; it is an unavoidable consequence of the resource being unable to do two jobs at once. Remove scarcity and choice becomes unnecessary, which is why scarcity is the starting point of the subject. Insufficient resources mean one use excludes another, so someone must decide

Lesson 1.2 · Unit 1 · CA HSS 12.1.2

Opportunity cost, marginal benefit and marginal cost

If every choice forgoes an alternative, the real cost of anything is the alternative given up. That idea, combined with the habit of evaluating one additional unit at a time, is most of what economic reasoning consists of.

The key ideas
  1. Opportunity cost is the value of the next best alternative forgone when a choice is made.
  2. It is the next best alternative, not all of them, since you could only have done one other thing with the resource.
  3. Opportunity cost includes what is not paid out, such as the wages a full-time student gives up, which is why the cost of a year of study exceeds the tuition.
  4. Marginal means one more unit, so marginal cost is the cost of producing one more and marginal benefit is the value of consuming one more.
  5. The decision rule is to do it while marginal benefit exceeds marginal cost, and to stop when marginal cost overtakes marginal benefit.
  6. Marginal benefit usually falls as quantity rises, because the first unit satisfies the most urgent want and later units satisfy less urgent ones.
  7. Sunk costs are already spent and cannot be recovered, so they belong in no decision about what to do next.
  8. The production possibilities frontier shows the maximum combinations of two goods obtainable from fixed resources, and its slope at any point is the opportunity cost of one good in terms of the other.

Where students lose marks: including sunk costs in a marginal decision. Money already spent is gone under every option, so it cannot distinguish between them.

Worked example

Constructed data. An invented bakery deciding how many cakes to bake. Work the margin, then test the sunk cost trap.

CakeMarginal costMarginal benefit (price received)
1st925
2nd1025
3rd1225
4th1625
5th2325
6th3425
7th5025

Step one: apply the rule cake by cake. Cake one earns 25 and costs 9, a gain of 16. Cake two gains 15, cake three gains 13, cake four gains 9, cake five gains 2. Cake six loses 9 and cake seven loses 25.

Step two: state the answer. Bake five. The fifth cake is still worth baking because it adds 2, and the sixth is not because it subtracts 9. The rule is to continue while marginal benefit exceeds marginal cost, not to bake as many as possible.

Step three: total the result. Gains of 16, 15, 13, 9 and 2 add to 55. Baking six would give 46 and baking seven would give 21, so the rule genuinely maximizes. The arithmetic confirms the rule rather than merely restating it.

Step four: explain why marginal cost rises. The baker uses the most convenient oven space first, then less convenient space, then pays overtime, then buys ingredients at short notice at higher prices. Each additional unit draws on progressively worse alternatives, which is the general reason marginal cost rises.

Step five: introduce the sunk cost. Suppose the baker already paid 400 for a new mixer that cannot be returned. Does that change the answer?

Step six: work it out. The 400 is spent under every option: baking zero, five or seven cakes leaves it equally gone. Since it is identical across all the alternatives, it cannot make any of them better than another. The answer is still five, and the baker's total is 55 minus 400, which is a loss of 345 for the day.

Step seven: state the uncomfortable implication. Baking more cakes to justify the mixer makes the loss larger, not smaller. Baking seven gives 21 minus 400, a loss of 379. The instinct to recoup a sunk cost by doing more is exactly the error the concept warns against.

Step eight: connect to opportunity cost. Suppose the baker could instead spend the day teaching a class for 40. That 40 is the opportunity cost of baking, so the relevant comparison is 55 against 40, and baking wins by 15. The 400 mixer never enters either side of the comparison.

Practice · 10 questions

Questions 1 to 5 are recall. Questions 6 to 10 ask for reasoning.

  1. Define opportunity cost.
    Show the full solution

    The value of the next best alternative forgone when a choice is made

  2. Define marginal cost and marginal benefit.
    Show the full solution

    The cost of producing one more unit and the value of consuming one more unit

  3. State the marginal decision rule.
    Show the full solution

    Continue while marginal benefit exceeds marginal cost; stop when marginal cost overtakes it

  4. Define a sunk cost.
    Show the full solution

    A cost already spent that cannot be recovered

  5. What does the slope of a production possibilities frontier represent?
    Show the full solution

    The opportunity cost of one good in terms of the other

  6. Work through the bakery decision and justify the stopping point.
    Show the full solution

    Cake one gains 25 minus 9, which is 16; cake two gains 15; cake three 13; cake four 9; cake five 2. Cake six costs 34 against a benefit of 25, losing 9. So the baker stops at five. Total gain is 16 plus 15 plus 13 plus 9 plus 2, which is 55, against 46 for six cakes and 21 for seven. The rule maximizes, and the arithmetic confirms it. Five cakes, giving 55 against 46 for six and 21 for seven

  7. Why does marginal cost rise with each additional unit?
    Show the full solution

    Because a producer uses the best available resources first and progressively worse ones afterward. The baker fills the most convenient oven space before the awkward space, works normal hours before paying overtime, and buys ingredients on the regular schedule before paying short-notice prices. Each extra unit therefore draws on a less favorable alternative than the one before, so the cost of producing it is higher. Best resources are used first, so later units draw on worse alternatives

  8. Explain why the 400 mixer does not change the answer.
    Show the full solution

    Because it is spent identically under every option. Baking zero cakes, five cakes or seven cakes all leave the 400 equally gone and unrecoverable, so it cannot make any option better or worse than another. A figure that appears the same on both sides of a comparison cancels out of it. The best decision remains five cakes, and the day's result is 55 minus 400, a loss of 345. It is identical under every option, so it cannot distinguish between them

  9. Why does baking more to justify the mixer make things worse?
    Show the full solution

    Because the sixth and seventh cakes lose money on their own terms, costing 34 and 50 against a benefit of 25 each. Baking seven yields 21 rather than 55, so the day's loss deepens from 345 to 379. The mixer is not recovered by any of this, since it was never recoverable. Trying to justify a past expenditure by adding further loss-making activity is the classic sunk cost error. The extra cakes lose money, deepening the loss from 345 to 379

  10. Set the decision up as an opportunity cost comparison.
    Show the full solution

    If the baker's next best use of the day is teaching a class for 40, then 40 is the opportunity cost of baking. The comparison is the 55 that optimal baking yields against the 40 from teaching, so baking is better by 15. Notice that the 400 mixer appears on neither side, since it is gone whichever the baker does, and that the relevant alternative is the single next best one rather than every option that existed. 55 from baking against 40 from teaching, with the mixer on neither side

Lesson 1.3 · Unit 1 · CA HSS 12.1.3

Monetary and nonmonetary incentives, and how behavior responds

An incentive is anything that changes the cost or benefit of an action, and the central empirical claim of economics is that when incentives change, behavior changes. Predicting how is the whole of the skill.

The key ideas
  1. An incentive is anything that alters the expected cost or benefit of an action and therefore how likely someone is to take it.
  2. Monetary incentives work through money: wages, prices, taxes, subsidies, fines and bonuses.
  3. Nonmonetary incentives work through everything else: time, convenience, status, safety, reputation, guilt and approval.
  4. Positive incentives reward an action and negative incentives penalize one, and both change behavior in the predicted direction.
  5. People respond to incentives as they perceive them, so an incentive nobody notices has no effect regardless of its size.
  6. Unintended consequences arise when an incentive changes a behavior the designer was not thinking about.
  7. A monetary incentive can displace a nonmonetary one, so paying for something previously done from duty or goodwill sometimes reduces it.

Where students lose marks: answering that people respond to incentives without saying which margin moves. The analysis is naming the specific behavior that becomes cheaper or dearer and predicting the direction of the change.

Worked example

Constructed cases. Four invented policies. For each, name the incentive, the margin it moves, and the response the designer did not intend.

Policy one: a charge of 0.10 per plastic bag at checkout.

Step one: identify the margin. The cost of taking a bag rises from zero to 0.10, so the decision that changes is whether to take one rather than whether to shop. Bag use falls sharply.

Step two: notice the size puzzle. Ten cents is trivial, yet bag use in such schemes falls a great deal. Part of the effect is monetary and part is nonmonetary: the charge makes bag use visible and slightly embarrassing, and the nonmonetary component does much of the work.

Policy two: a late fee of 3 per day at a children's nursery, introduced because parents collected children late.

Step three: predict naively. Lateness now costs money, so lateness should fall.

Step four: identify the displacement. Before the fee, lateness carried guilt and the disapproval of staff, a nonmonetary cost many parents treated as large. After the fee, lateness became a service with a posted price, and a parent who considers 3 good value for twenty extra minutes can now buy it with a clear conscience. Lateness can rise, which is the incentive backfiring.

Step five: state the general lesson. Introducing a price can remove a moral cost that was larger than the price. The designer must ask what nonmonetary incentive is already operating before adding a monetary one.

Policy three: paying teachers a bonus tied to test scores.

Step six: identify all the margins it moves. It rewards raising scores, which can be done by teaching better, by teaching only what is tested, by spending time on students near the passing mark rather than those far above or below it, or by misreporting. The incentive is attached to the measure rather than to the goal.

Step seven: state the principle. An incentive moves every behavior that affects the measured quantity, not only the behavior intended. Designing one therefore requires listing the cheapest ways to move the measure, not the most virtuous ones.

Policy four: a subsidy of 2,000 toward installing home insulation.

Step eight: work out who responds. Households that would have insulated anyway collect 2,000 for doing so, which changes no behavior and costs the budget. Households just short of the threshold are moved to act, which is the intended effect. Evaluating the policy means estimating what share falls into each group, and that is an empirical question rather than a matter of opinion.

Practice · 10 questions

Questions 1 to 5 are recall. Questions 6 to 10 ask for reasoning.

  1. Define an incentive.
    Show the full solution

    Anything that alters the expected cost or benefit of an action and therefore how likely it is to be taken

  2. Give three examples of monetary incentives.
    Show the full solution

    Wages, prices, taxes, subsidies, fines and bonuses

  3. Give three examples of nonmonetary incentives.
    Show the full solution

    Time, convenience, status, safety, reputation, guilt and approval

  4. Distinguish positive from negative incentives.
    Show the full solution

    Positive incentives reward an action; negative incentives penalize one

  5. Why does an unnoticed incentive have no effect?
    Show the full solution

    Because people respond to incentives as they perceive them, not as they are written

  6. Why does a ten cent bag charge change behavior so much?
    Show the full solution

    Because it operates on two margins at once. The monetary cost of a bag rises from zero to ten cents, which is genuinely a change from free to not free even though the amount is trivial. More importantly, the charge makes the decision visible: the shopper must actively ask for a bag and be seen paying for it, which attaches a small nonmonetary cost of awkwardness. The nonmonetary component does much of the work. It adds a small money cost and a larger visibility cost at the same time

  7. Explain how the nursery late fee could increase lateness.
    Show the full solution

    Because before the fee, collecting a child late carried guilt and the visible disapproval of staff, and many parents treated that nonmonetary cost as substantial. Posting a price of 3 converts lateness from a transgression into a purchasable service, so a parent who values twenty extra minutes at more than 3 can now buy them with a clear conscience. The monetary cost added is smaller than the moral cost removed. The posted price removed a moral cost larger than the price it added

  8. What should a policy designer check before adding a monetary incentive?
    Show the full solution

    What nonmonetary incentive is already operating, and how large it is. If duty, reputation, guilt or professional pride is already restraining the behavior, attaching a price may displace that restraint and make things worse rather than better. The relevant question is not whether the new incentive points the right way but whether it is larger than whatever it replaces, and that requires knowing what is already there. Whether an existing nonmonetary incentive is larger than the price being added

  9. Why is a bonus tied to test scores difficult to design well?
    Show the full solution

    Because it attaches the reward to the measure rather than to the goal, and every behavior that raises the measure is thereby encouraged. Scores can be raised by teaching better, which is intended, but also by narrowing teaching to only what is tested, by concentrating effort on students just below the passing mark where a small gain moves the number most, or by misreporting. Designing an incentive means listing the cheapest ways to move the measure. It rewards the measure, so every cheap way of moving that measure is encouraged

  10. How would you evaluate the insulation subsidy?
    Show the full solution

    By estimating what share of recipients changed their behavior because of it. Households that would have insulated anyway collect 2,000 for doing what they had already decided to do, which costs the budget and changes nothing. Households that were just short of acting are moved to act, which is the entire point. The policy is worth its cost only if the second group is large relative to the first, which is an empirical question requiring data rather than argument. Estimate how many recipients changed behavior against how many were paid for decisions already made

Lesson 1.4 · Unit 1 · CA HSS 12.1.4

Private property as an incentive to conserve and improve

Who owns a resource changes how it is treated, and the mechanism is an incentive rather than a moral fact about owners. This lesson works out the mechanism, and then works out precisely where it fails.

The key ideas
  1. A property right is an enforceable claim to use a resource, to exclude others from it, and to sell or transfer it.
  2. Ownership makes the future value of a resource fall on the owner, so an owner who depletes it bears the loss and an owner who improves it keeps the gain.
  3. The tragedy of the commons occurs where a resource is open to all: each user takes the full benefit of what they take and bears only a fraction of the cost of depletion, so it is overused.
  4. The transferability of the right matters as much as the right itself, because an owner who can sell has a reason to maintain value even when intending to leave.
  5. Secure title is the precondition, since an owner who expects to be dispossessed behaves like someone with no claim at all.
  6. Private property fails for resources that cannot be fenced, such as migrating fish, groundwater, air and ocean fisheries, where exclusion is impractical or impossible.
  7. Common property is not the same as open access, and communities have managed shared resources successfully for centuries through rules, monitoring and sanctions.
  8. Renewable and nonrenewable resources differ: a renewable resource can be harvested indefinitely below its replacement rate, while a nonrenewable one can only be used at a chosen speed.

Where students lose marks: concluding that private ownership always conserves. It works through a specific mechanism, and where exclusion is impossible or title insecure, the mechanism does not operate.

Worked example

Constructed arithmetic. An invented fishery with 100 boats, worked twice: once as open access and once as private property.

The setup. The stock supports a sustainable catch of 8,000 tonnes a year. Fish sell for 1,200 per tonne. Each boat can take 120 tonnes a year at full effort. With 100 boats at full effort the catch would be 12,000 tonnes, which exceeds the sustainable level by 4,000.

Step one: work out one skipper's calculation under open access. If the skipper takes 120 tonnes, the revenue is 144,000 and all of it is theirs. The cost is that the stock declines, reducing future catches for everyone.

Step two: divide that cost. The depletion caused by one boat is spread across all 100 boats, so this skipper bears one hundredth of it. If the future loss from that boat's overfishing is worth 50,000 across the fleet, the skipper bears 500 of it.

Step three: state the comparison. 144,000 in private gain against 500 in private cost. Fishing hard is overwhelmingly rational for each individual skipper, and every skipper faces the identical arithmetic.

Step four: aggregate. All 100 behave that way, the catch reaches 12,000 tonnes, the stock falls, and within a few years the sustainable catch drops to perhaps 5,000 tonnes. Everyone is worse off, and nobody behaved irrationally. That is the tragedy of the commons stated precisely.

Step five: now make the fishery private property. A single owner holds the exclusive right to fish it and can sell that right. Taking 12,000 tonnes this year reduces the owner's own catch next year and every year after, and the whole of that loss falls on the owner.

Step six: work out the owner's choice. Taking 8,000 tonnes a year at 1,200 gives 9,600,000 every year indefinitely. Taking 12,000 once gives 14,400,000 and then perhaps 6,000,000 a year thereafter. The owner is worse off after roughly two years, so restraint is profitable rather than merely virtuous.

Step seven: add transferability. Suppose the owner intends to retire next year and stops caring about future catches. Because the right can be sold, and a buyer will pay for a healthy stock and not for a depleted one, the sale price falls if the owner overfishes. Transferability converts a distant future into a present loss.

Step eight: state where this fails. If the fish migrate through waters the owner cannot exclude others from, the exclusive right is unenforceable and the open access arithmetic returns. If the owner expects the right to be revoked within two years, they have every reason to strip the stock now. Property rights conserve only when exclusion works and title is secure.

Practice · 10 questions

Questions 1 to 5 are recall. Questions 6 to 10 ask for reasoning.

  1. Define a property right.
    Show the full solution

    An enforceable claim to use a resource, exclude others from it, and transfer it

  2. Define the tragedy of the commons.
    Show the full solution

    Overuse of an open access resource because each user takes the full benefit and bears only a fraction of the cost

  3. Why does transferability matter?
    Show the full solution

    Because an owner who can sell has a reason to maintain value even when intending to leave

  4. Name three resources for which exclusion is impractical.
    Show the full solution

    Migrating fish, groundwater, air, and ocean fisheries

  5. Distinguish a renewable from a nonrenewable resource.
    Show the full solution

    A renewable resource can be harvested indefinitely below its replacement rate; a nonrenewable one can only be used at a chosen speed

  6. Work through one skipper's calculation under open access.
    Show the full solution

    Taking 120 tonnes at 1,200 per tonne earns 144,000, all of which goes to that skipper. The cost of the resulting depletion is spread across all 100 boats, so if the future loss caused by this boat is worth 50,000 across the fleet the skipper bears only one hundredth of it, which is 500. Comparing 144,000 of private gain with 500 of private cost, fishing hard is overwhelmingly rational. 144,000 in private gain against 500 in private cost

  7. Why is the resulting collapse not caused by irrationality?
    Show the full solution

    Because every individual skipper is making the decision that is correct for them given what everyone else will do. Restraint by one boat leaves 99 others taking the fish anyway, so the restrained skipper bears the whole cost of abstaining and captures almost none of the benefit. The outcome is collectively disastrous and individually rational, which is exactly why it cannot be fixed by persuasion or by appealing to better judgment. Each skipper's choice is individually correct, so the collapse needs no irrationality

  8. Work through the single owner's calculation.
    Show the full solution

    Harvesting sustainably at 8,000 tonnes yields 9,600,000 a year indefinitely. Harvesting 12,000 tonnes yields 14,400,000 this year and then perhaps 6,000,000 a year afterward as the depleted stock recovers slowly. The owner gains 4,800,000 now and loses 3,600,000 every following year, so is behind within about two years. Because the whole future loss falls on the owner, restraint becomes profitable rather than merely admirable. 4,800,000 gained once against 3,600,000 lost annually, so restraint pays within two years

  9. How does the ability to sell change a retiring owner's behavior?
    Show the full solution

    Without transferability, an owner intending to retire next year has no reason to preserve a stock they will never harvest again, so they strip it. Because the right can be sold, and any buyer will pay far more for a healthy fishery than a depleted one, overfishing now reduces the sale price directly. Transferability converts a distant future loss into an immediate one, which is why it matters as much as ownership itself. A buyer pays less for a depleted stock, so future loss becomes a present one

  10. Under what conditions does private property fail to conserve?
    Show the full solution

    When exclusion is impractical and when title is insecure. If the fish migrate through waters the owner cannot police, the exclusive right cannot be enforced and the open access arithmetic returns in full. If the owner expects the right to be revoked or seized within two years, they have every reason to strip the stock immediately rather than preserve value they will not capture. The mechanism requires both enforceable exclusion and secure tenure. When exclusion cannot be enforced, or when the owner expects to lose the title

Lesson 1.5 · Unit 1 · CA HSS 12.1.5

Markets and liberty: the argument Adam Smith actually made

The California standard names Adam Smith specifically, and Smith is worth reading rather than paraphrasing, because the argument he made is both more careful and more qualified than the version usually attributed to him.

The key ideas
  1. Smith's central claim is that people pursuing their own interest in a competitive market frequently produce an outcome that benefits others, without intending to.
  2. The mechanism is exchange: a voluntary trade happens only if both parties expect to gain, so each must offer the other something they want.
  3. Competition is what makes this work, since a seller facing rivals must offer good terms and a seller facing none need not.
  4. The political argument is that dispersing economic decisions among many people disperses power, while concentrating them concentrates it.
  5. Exit is the freedom a market supplies: a person who can take their custom or their labor elsewhere is harder to coerce than one who cannot.
  6. Smith was not an advocate of business interests and repeatedly warned that merchants combine against the public and seek to restrict competition.
  7. He assigned real duties to government, including defense, justice, public works that no individual would fund, and education.
  8. The argument is conditional, not absolute: markets produce the claimed benefits where competition is genuine, information is adequate and exchange is voluntary, and not otherwise.

Where students lose marks: attributing to Smith the claim that markets are always efficient or that government should do nothing. He wrote at length about both market failure and legitimate government duties.

Worked example

The source. Adam Smith, An Inquiry into the Nature and Causes of the Wealth of Nations, 1776. Public domain.

It is not from the benevolence of the butcher, the brewer, or the baker, that we expect our dinner, but from their regard to their own interest. We address ourselves, not to their humanity but to their self-love, and never talk to them of our own necessities but of their advantages.

People of the same trade seldom meet together, even for merriment and diversion, but the conversation ends in a conspiracy against the publick, or in some contrivance to raise prices.

Step one: read the first passage precisely. Smith is not saying selfishness is good. He is saying that a system in which the baker must satisfy you to earn a living produces bread more reliably than one relying on the baker's goodwill toward strangers.

Step two: identify the condition hidden in it. The baker only needs your custom if you could buy bread elsewhere. Remove the alternative and the baker's self-love no longer requires serving you well. Competition is doing the work, and Smith knew it.

Step three: read the second passage. This is Smith on business, and it is sharply hostile. He expected sellers to collude against buyers whenever they could, which is why he opposed the guild restrictions and monopolies of his own time.

Step four: reconcile the two. There is no contradiction. Smith supported competitive markets, not businesses. Businesses would prefer not to face competition, so the interests of a market and of the firms in it diverge, and policy that pleases existing firms often damages the market.

Step five: construct the political argument. Take an invented town with one employer, one landlord and one shop, all state-controlled. A resident who criticizes the authorities can lose job, housing and supply at once. Now give the town twenty employers, many landlords and several shops. The same criticism costs far less, because alternatives exist.

Step six: name the mechanism. Exit. The ability to go elsewhere is what makes coercion expensive, and dispersed economic decisions create many places to go. This is the substance of the standard's claim that a market economy helps preserve political and personal liberty.

Step seven: test the argument against a counterexample. A single dominant private employer in a remote town produces the same dependence as a state monopoly, since exit is equally unavailable. The argument therefore depends on competition rather than on private ownership as such, which is exactly Smith's emphasis.

Step eight: state the conclusion carefully. Competitive markets tend to support liberty by dispersing power and providing alternatives, and this holds only where competition is real. Concentrated economic power, whether public or private, removes the exit that produced the benefit. The standard asks for the argument, and the argument has a condition attached.

Practice · 10 questions

Questions 1 to 5 are recall. Questions 6 to 10 ask for reasoning.

  1. State Smith's central claim in one sentence.
    Show the full solution

    That people pursuing their own interest in a competitive market frequently benefit others without intending to

  2. Why does a voluntary exchange benefit both parties?
    Show the full solution

    Because neither would agree to it unless they expected to gain

  3. What did Smith say about people of the same trade meeting together?
    Show the full solution

    That the conversation tends to end in a conspiracy against the public or a contrivance to raise prices

  4. Name three duties Smith assigned to government.
    Show the full solution

    Defense, justice, public works no individual would fund, and education

  5. What is exit, and why does it matter politically?
    Show the full solution

    The ability to take custom or labor elsewhere, which makes a person harder to coerce

  6. What condition is hidden in the butcher and baker passage?
    Show the full solution

    That the customer has an alternative. The baker's self-interest produces good bread only because losing your custom costs the baker something, which requires that you could buy bread somewhere else. If the baker is the only supplier and you cannot go elsewhere, that same self-interest points toward charging more and caring less. Competition, not self-interest alone, is doing the work in the argument, and Smith understood this. That the buyer has an alternative, so competition is what makes self-interest serve others

  7. How do the two passages fit together?
    Show the full solution

    Without contradiction, once you see that Smith supported competitive markets rather than businesses. Firms would prefer not to face competition, so they lobby for restrictions, licenses, tariffs and agreements that raise prices. The interest of a market and the interest of the firms currently in it therefore diverge, and policy that pleases established businesses frequently damages the competitive process Smith was defending. He defended competitive markets, not businesses, whose interests diverge

  8. Work through the invented town to show how dispersed economic power supports liberty.
    Show the full solution

    In a town with one employer, one landlord and one shop, all under a single authority, a resident who criticizes that authority can lose their job, their housing and their supply of goods simultaneously, so criticism is prohibitively expensive. Give the same town twenty employers, many landlords and several shops, and the same criticism costs far less, because each of those relationships can be replaced. The cost of dissent falls as alternatives multiply. Many independent employers, landlords and sellers make dissent affordable

  9. What counterexample shows the argument depends on competition rather than private ownership?
    Show the full solution

    A single dominant private employer in a remote town. Residents depend on it for wages, and there is nowhere else to work, so it can impose terms and punish complaint in exactly the way a state monopoly could. Private ownership has not supplied liberty here because exit is unavailable. What protects the resident is the existence of alternatives, and alternatives require competition regardless of who owns what. A single dominant private employer produces the same dependence as a state monopoly

  10. State the argument with its condition attached.
    Show the full solution

    Competitive markets tend to support political and personal liberty by dispersing economic decisions among many independent parties, which gives individuals somewhere else to go and therefore makes coercing them expensive. The condition is that competition must be genuine. Concentrated economic power removes the exit that produced the benefit, and it does so whether the concentration is public or private, which is why Smith attacked monopoly in both forms. Markets support liberty by providing exit, but only where competition is real

Unit 1 review · Economic Reasoning · CA HSS 12.1

Ten questions across the whole unit

Questions 1 to 5 check that you hold the terms. Questions 6 to 10 require you to reason across several lessons at once.

  1. Define scarcity and distinguish it from a shortage.
    Show the full solution

    Scarcity is wants exceeding resources and is permanent; a shortage is a temporary gap at a particular price

  2. Define opportunity cost.
    Show the full solution

    The value of the next best alternative forgone when a choice is made

  3. State the marginal decision rule.
    Show the full solution

    Continue while marginal benefit exceeds marginal cost; stop when marginal cost overtakes it

  4. Define a property right.
    Show the full solution

    An enforceable claim to use a resource, exclude others from it, and transfer it

  5. Define the tragedy of the commons.
    Show the full solution

    Overuse of an open access resource because each user takes the full benefit and bears a fraction of the cost

  6. Explain the causal relationship between scarcity and choice.
    Show the full solution

    Resources are insufficient to satisfy all desired uses, so committing a resource to one use necessarily forgoes every other use of it, and someone must therefore decide which use it serves. Choice is not a preference for deciding things but an unavoidable consequence of a resource being unable to do two jobs at once. Even refusing to decide is itself one of the available options with its own consequences. One use excludes another, so choosing is forced rather than optional

  7. Why do sunk costs belong in no decision about what to do next?
    Show the full solution

    Because they are identical under every option. A mixer bought for 400 and unreturnable leaves the 400 equally gone whether the baker makes zero cakes, five or seven, so it cannot make any option better or worse than another and cancels out of the comparison. Baking extra loss-making cakes to justify the purchase deepens the loss rather than recovering anything, since the money was never recoverable. They are the same under every option, so they cannot distinguish between them

  8. Explain how introducing a monetary incentive can make behavior worse.
    Show the full solution

    Because a price can displace a larger nonmonetary cost. Before a late fee at a nursery, collecting a child late carried guilt and staff disapproval, which many parents treated as substantial. Posting a fee of 3 converts lateness into a purchasable service, so a parent valuing twenty extra minutes above 3 can now buy them with a clear conscience. The money cost added is smaller than the moral cost removed. A posted price can remove a moral cost larger than the price

  9. Under what conditions does private property actually conserve a resource?
    Show the full solution

    When exclusion can be enforced and title is secure. Ownership works by making the whole future value of a resource fall on the owner, so depleting it costs them directly and improving it benefits them. If fish migrate through waters the owner cannot police, the exclusive right is unenforceable and open access arithmetic returns. If the owner expects the title to be revoked within two years, stripping the stock now is rational. Only when exclusion is enforceable and the owner expects to keep the title

  10. State Smith's argument connecting markets and liberty, with its condition.
    Show the full solution

    Competitive markets disperse economic decisions among many independent parties, so a person who displeases one employer, landlord or supplier has others to turn to, which makes coercing them expensive. The condition is that competition must be genuine: a single dominant private employer in a remote town produces the same dependence as a state monopoly, because exit is equally unavailable. It is competition rather than private ownership as such that supplies the protection. Dispersed economic power provides exit, but only where competition is real

Lesson 2.1 · Unit 2 · CA HSS 12.2.1

The incentives behind the two laws, and the role of substitutes

The laws of supply and demand are not rules the world happens to obey. They are what follows from the incentives of lesson 1.3 applied to buyers and sellers, and deriving them that way is what makes them usable.

The key ideas
  1. The law of demand: as the price of a good rises, the quantity buyers wish to buy falls, other things equal.
  2. The law of supply: as the price of a good rises, the quantity sellers wish to sell rises, other things equal.
  3. The incentive behind demand is that a higher price makes the good a worse deal against everything else the buyer could spend the money on.
  4. The incentive behind supply is that a higher price makes production worth doing for sellers whose costs were previously too high to justify it.
  5. A substitute is a good that serves a similar purpose, so a rise in one good's price raises demand for the other.
  6. Substitutes are what make demand responsive: the more and closer the substitutes, the more buyers switch away when a price rises.
  7. A complement is a good used together with another, so a rise in one good's price reduces demand for the other.
  8. Price elasticity of demand measures the responsiveness: the percentage change in quantity divided by the percentage change in price.

Where students lose marks: forgetting "other things equal". The laws describe what a price change alone does, and any real observation mixes that with changes in income, tastes and other prices.

Worked example

Constructed data. An invented market for bus tickets in a town, with substitutes deliberately varied so their effect is visible.

Ticket priceQuantity demanded, town AQuantity demanded, town B
2.0010,00010,000
2.409,4007,000
2.808,8004,600
3.208,3002,900

The difference. Town A is spread out, has little parking and no train. Town B has a train running the same route, a bike path and dense housing near the center.

Step one: verify the law of demand holds in both. In A quantity falls from 10,000 to 8,300 as price rises; in B it falls from 10,000 to 2,900. Both obey the law. The law says the direction, not the size.

Step two: compute elasticity for town A. From 2.00 to 2.40 is a 20 per cent price rise. Quantity falls from 10,000 to 9,400, which is 6 per cent. Elasticity is 6 divided by 20, which is 0.3. Demand is inelastic.

Step three: compute elasticity for town B. Same 20 per cent price rise. Quantity falls from 10,000 to 7,000, which is 30 per cent. Elasticity is 30 divided by 20, which is 1.5. Demand is elastic.

Step four: explain the difference by substitutes. A rider in B who dislikes the new price takes the train, cycles, or walks. A rider in A has none of those, so the choice is the bus or not traveling. The number and closeness of substitutes is what determines elasticity.

Step five: compute revenue in A. At 2.00, revenue is 20,000. At 2.40, it is 2.40 times 9,400, which is 22,560. Revenue rises when price rises, because quantity fell proportionally less than price rose.

Step six: compute revenue in B. At 2.00, revenue is 20,000. At 2.40, it is 2.40 times 7,000, which is 16,800. Revenue falls. The same price increase has opposite effects on the two operators.

Step seven: state the rule that emerged. Raising price raises revenue when demand is inelastic and lowers it when demand is elastic, with the dividing line at elasticity of 1. That is not a separate fact to memorize; it follows directly from the arithmetic just done.

Step eight: apply the supply side. If the fare rises to 3.20, operators whose cost per journey is 3.00 can now run a route they previously could not. That is the incentive behind the law of supply: a higher price brings in suppliers whose costs sit between the old price and the new one.

Practice · 10 questions

Questions 1 to 5 are recall. Questions 6 to 10 ask for reasoning.

  1. State the law of demand.
    Show the full solution

    As price rises, quantity demanded falls, other things equal

  2. State the law of supply.
    Show the full solution

    As price rises, quantity supplied rises, other things equal

  3. Define a substitute and a complement.
    Show the full solution

    A substitute serves a similar purpose; a complement is used together with the good

  4. How is price elasticity of demand calculated?
    Show the full solution

    Percentage change in quantity divided by percentage change in price

  5. What does an elasticity above 1 mean?
    Show the full solution

    Demand is elastic: quantity responds proportionally more than price changes

  6. Compute and compare the two elasticities.
    Show the full solution

    Both towns face a price rise from 2.00 to 2.40, which is 20 per cent. In town A quantity falls from 10,000 to 9,400, a fall of 6 per cent, giving an elasticity of 6 divided by 20, or 0.3, which is inelastic. In town B quantity falls from 10,000 to 7,000, a fall of 30 per cent, giving 30 divided by 20, or 1.5, which is elastic. The same price change produces very different responses. Town A gives 0.3 and town B gives 1.5

  7. Explain the difference in terms of substitutes.
    Show the full solution

    Town B has a train on the same route, a bike path and dense housing near the center, so a rider who objects to the higher fare has three realistic alternatives and takes one. Town A is spread out with no train and little parking, so the choice is the bus or not traveling at all. The number and closeness of substitutes is what determines how far buyers can move when a price rises, and therefore determines elasticity. B has close substitutes so riders switch; A has none so they stay

  8. Work out what the price rise does to each operator's revenue.
    Show the full solution

    In town A, revenue moves from 2.00 times 10,000, which is 20,000, to 2.40 times 9,400, which is 22,560, so it rises by 2,560. In town B, revenue moves from 20,000 to 2.40 times 7,000, which is 16,800, so it falls by 3,200. The identical price increase helps one operator and harms the other, because quantity fell proportionally less than price rose in A and more in B. A's revenue rises to 22,560; B's falls to 16,800

  9. State the general relationship between elasticity and revenue, and show it follows from the arithmetic.
    Show the full solution

    Raising price raises revenue when demand is inelastic and lowers it when demand is elastic, with the boundary at an elasticity of exactly 1. This follows directly: revenue is price times quantity, so a 20 per cent price rise combined with a 6 per cent quantity fall must raise the product, while the same rise combined with a 30 per cent fall must lower it. It is arithmetic rather than a separate fact to memorize. Price rises help revenue below elasticity 1 and hurt it above, arithmetically

  10. Explain the incentive behind the law of supply using the figures.
    Show the full solution

    A higher price makes production worth doing for sellers whose costs previously made it unprofitable. An operator whose cost per journey is 3.00 cannot run a route at a fare of 2.80 without losing money, so it does not run. At a fare of 3.20 that same route becomes profitable and the operator enters. A price rise therefore brings in every supplier whose cost sits between the old price and the new one, which is why quantity supplied rises. A higher price brings in suppliers whose costs lie between the old and new price

Lesson 2.2 · Unit 2 · CA HSS 12.2.2

What a shift does to relative scarcity, price and quantity

A change in price moves along a curve. A change in anything else moves the whole curve. Keeping those two apart is the single most useful habit in the subject, and the four possible shifts have four predictable results.

The key ideas
  1. A movement along a curve is caused by a change in the good's own price and nothing else.
  2. A shift of a curve is caused by a change in any other relevant condition.
  3. Demand shifts with income, tastes, the prices of substitutes and complements, the number of buyers, and expectations about future prices.
  4. Supply shifts with input costs, technology, the number of sellers, taxes and subsidies, and expectations.
  5. Demand rises: price rises and quantity rises.
  6. Demand falls: price falls and quantity falls.
  7. Supply rises: price falls and quantity rises.
  8. Supply falls: price rises and quantity falls.
  9. When both shift at once, one result is determinate and the other is not, and saying which is the analysis.

Where students lose marks: writing that a higher price reduced demand. A higher price reduces quantity demanded and leaves demand where it was. The distinction is not pedantry, because the two have different consequences.

Worked example

Constructed schedules. An invented market for wheat, worked through three events.

PriceQuantity demandedQuantity supplied
180900500
200800600
220700700
240600800
260500900

Step one: find equilibrium. The only price at which quantity demanded equals quantity supplied is 220, where both are 700. That is the equilibrium price and quantity.

Event one: a poor harvest cuts supply by 200 at every price.

Step two: rebuild the supply column. At 180 supply is 300, at 200 it is 400, at 220 it is 500, at 240 it is 600, at 260 it is 700. Demand is unchanged.

Step three: find the new equilibrium. At 260, demand is 500 and supply is 700, so there is a surplus. At 240, demand is 600 and supply is 600. The new equilibrium is 240 and 600. Price rose 20 and quantity fell 100, exactly as the supply-falls rule predicts.

Step four: state what happened to relative scarcity. Wheat became scarcer relative to wants, and the price rose to signal that. The rise is not a cause of the scarcity; it is the market's report of it.

Event two: instead, incomes rise and demand increases by 200 at every price, with supply back to normal.

Step five: work it out. Demand becomes 1,100 at 180, 1,000 at 200, 900 at 220, 800 at 240, 700 at 260. Supply is unchanged. At 260 demand is 700 and supply is 900, a surplus. At 240 demand is 800 and supply is 800. Equilibrium is 240 and 800: price up 20, quantity up 100.

Step six: compare the two events. Both raised price to 240. One lowered quantity to 600 and the other raised it to 800. Price alone cannot tell you which happened, which is why quantity data matters.

Event three: both at once, supply down 200 and demand up 200.

Step seven: work it out. At 260, demand is 700 and supply is 700. Equilibrium price is 260 and quantity is 700. Price rose by 40, and quantity is unchanged at 700.

Step eight: state the general rule for simultaneous shifts. When supply falls and demand rises, both push price up, so price definitely rises. They push quantity in opposite directions, so the quantity result depends on which shift is larger. Here they were equal and quantity did not move; make the demand rise 300 instead and quantity would rise.

Practice · 10 questions

Questions 1 to 5 are recall. Questions 6 to 10 ask for reasoning.

  1. What causes a movement along a demand curve?
    Show the full solution

    A change in the good's own price

  2. Name four things that shift demand.
    Show the full solution

    Income, tastes, prices of substitutes and complements, number of buyers, and expectations

  3. Name four things that shift supply.
    Show the full solution

    Input costs, technology, number of sellers, taxes and subsidies, and expectations

  4. What happens to price and quantity when supply falls?
    Show the full solution

    Price rises and quantity falls

  5. What happens to price and quantity when demand rises?
    Show the full solution

    Both rise

  6. Find the original equilibrium and explain why no other price works.
    Show the full solution

    Equilibrium is 220, where quantity demanded and quantity supplied are both 700. At 200, buyers want 800 while sellers offer 600, so 200 units of demand go unsatisfied and disappointed buyers bid the price up. At 240, sellers offer 800 while buyers want 600, so 200 units sit unsold and sellers cut prices to move them. Only at 220 does nobody have a reason to change. 220 and 700, because at every other price someone has an unmet reason to move

  7. Work through the poor harvest and state the result.
    Show the full solution

    Supply falls by 200 at every price, so it becomes 300 at 180, 400 at 200, 500 at 220, 600 at 240 and 700 at 260. Demand is unchanged. At 260 there is a surplus of 200, while at 240 demand is 600 and supply is 600, so the new equilibrium is a price of 240 and a quantity of 600. Price rose by 20 and quantity fell by 100, matching the supply-falls rule. New equilibrium at 240 and 600: price up, quantity down

  8. Why can price alone not tell you which event occurred?
    Show the full solution

    Because a fall in supply and a rise in demand both raise price, and in these figures both raised it to exactly 240. What distinguishes them is quantity: the supply fall cut quantity from 700 to 600, while the demand rise pushed it from 700 to 800. An observer who sees only that wheat got dearer cannot say whether the harvest failed or buyers got richer, and those call for completely different responses. Both events raise price to 240; only quantity distinguishes them

  9. Work through the simultaneous shift.
    Show the full solution

    Supply falls 200 and demand rises 200 at every price. At 260, demand becomes 500 plus 200, which is 700, and supply becomes 900 minus 200, which is also 700. They are equal, so equilibrium price is 260 and quantity is 700. Price rose by 40, which is more than either shift produced alone, and quantity did not move at all from its original level. Price 260 and quantity 700: price rises sharply, quantity is unchanged

  10. State the general rule for simultaneous shifts and test it.
    Show the full solution

    When supply falls and demand rises, both changes push price upward, so price definitely rises. They push quantity in opposite directions, so the quantity outcome depends on which shift is larger and cannot be determined from the directions alone. Here the two shifts were equal at 200 each and quantity stayed at 700; make the demand increase 300 while supply falls 200 and quantity would rise, which confirms the rule. Price is determinate and quantity depends on which shift is larger

Lesson 2.3 · Unit 2 · CA HSS 12.2.3

The three pieces of machinery a market runs on

Supply and demand curves describe what happens. Property rights, competition and profit are the institutions that make them happen, and a market missing any one of the three does not work as described.

The key ideas
  1. Property rights make exchange possible, because you cannot sell what you do not own and nobody will buy what the seller cannot transfer.
  2. They also make investment possible, since nobody builds on land that can be taken from them.
  3. Competition disciplines sellers, forcing prices toward costs and quality toward what buyers actually want.
  4. Competition also discovers information, since rival firms try different methods and the market reveals which works.
  5. Profit is revenue minus cost, and it signals that resources are being used in a way buyers value more than the alternatives.
  6. Losses are as informative as profits, since they signal that resources are worth more elsewhere and should be moved.
  7. Profit attracts entry, and entry competes the profit away, which is how the signal causes the reallocation it announces.
  8. Each piece requires the others: property without competition gives monopoly, competition without property rights gives nothing worth trading, and profit without competition persists instead of doing its job.

Where students lose marks: treating profit as merely a reward. Its function is informational: it tells everyone in the economy where resources are currently underused, and it disappears once they respond.

Worked example

Constructed arithmetic. An invented product, traced through four years, to show profit performing its function.

Year one. A firm develops a portable water filter. It costs 14 to make and sells for 50. Profit is 36 per unit on 40,000 units, which is 1,440,000. No other firm makes one.

Step one: read the signal. A margin of 36 on a cost of 14 says that buyers value this use of labor, plastic and engineering far above what those inputs cost elsewhere. That is information, and it is visible to everyone.

Step two: predict the response. Other firms observe the margin and enter, because 36 per unit is available and their alternative uses of capital earn less. Entry is the mechanism by which the signal gets acted on.

Year two. Three competitors enter. Combined output rises to 110,000 units and the price falls to 34.

Step three: recompute. Margin is 34 minus 14, which is 20. Buyers are better off by 16 per unit and there are far more units. The original firm's profit per unit has fallen by 16, which it did not choose and cannot prevent.

Year three. Seven firms now compete. Price falls to 19 and one firm finds a production method costing 11.

Step four: follow the innovation. The firm with the 11 cost earns 8 per unit while rivals at 14 earn 5. It expands, and the others must copy the method or lose share. Competition converted a private discovery into general practice.

Year four. Price falls to 12.50 and two firms still have costs of 14.

Step five: read the loss. Those two lose 1.50 per unit. The loss is a signal that their labor, capital and factory space are worth more doing something else, and it is as informative as the original profit was.

Step six: state what the four years accomplished. Price fell from 50 to 12.50, output rose from 40,000 to well over 100,000, and the best production method spread across the industry. No authority planned any of it, and the original firm would have prevented all of it if it could.

Step seven: remove competition and rerun. If the first firm held an enforceable monopoly, price stays near 50, output stays near 40,000, and the cheaper method is never found because nobody needs it. Profit persists rather than being competed away, so the signal never causes the reallocation.

Step eight: remove property rights and rerun. If the design could be seized or the factory taken, the firm does not develop the filter at all, because it cannot capture the return. The process never starts. All three pieces of machinery are required.

Practice · 10 questions

Questions 1 to 5 are recall. Questions 6 to 10 ask for reasoning.

  1. Why are property rights necessary for exchange?
    Show the full solution

    Because you cannot sell what you do not own, and nobody buys what a seller cannot transfer

  2. Name two things competition does.
    Show the full solution

    Forces price toward cost and quality toward what buyers want, and discovers which methods work

  3. Define profit.
    Show the full solution

    Revenue minus cost

  4. What does a loss signal?
    Show the full solution

    That the resources are worth more in another use and should be moved

  5. What competes profit away?
    Show the full solution

    Entry by other firms attracted by the margin

  6. Explain what a margin of 36 on a cost of 14 communicates.
    Show the full solution

    That buyers value this particular use of labor, plastic and engineering far more than those inputs cost in their other uses. The gap is a measure of how underused the opportunity is, and because prices are public the information reaches every firm in the economy at once without anyone compiling or publishing it. That is the informational function of profit, and it is distinct from its function as a reward to the firm. That these inputs are worth far more here than elsewhere, visible to everyone

  7. Trace what entry did to price, output and buyers.
    Show the full solution

    Three competitors entering pushed price from 50 to 34 and raised combined output from 40,000 to 110,000 units, so buyers gained 16 per unit and far more units were available. By year four, seven firms had pushed price to 12.50. The original firm's margin fell from 36 to 20 and then further, which it neither chose nor could prevent. Entry is how the profit signal causes the reallocation it announces. Price fell from 50 to 12.50 and output more than doubled as firms entered

  8. How did competition spread the cheaper production method?
    Show the full solution

    The firm that found an 11 cost method earned 8 per unit against its rivals' 5, so it could cut price further and still profit while they could not. It expanded, and the others faced a choice between adopting the method and losing share until they exited. A discovery made privately by one firm therefore became general practice across the industry, which is competition performing its informational function rather than merely its disciplinary one. The low-cost firm could undercut rivals, so they had to copy the method or exit

  9. What happens to the whole process if the first firm holds a monopoly?
    Show the full solution

    It stops after year one. Price stays near 50 and output near 40,000, so buyers never receive the 37.50 per unit they eventually gained. The cheaper production method is never found, because nobody has a reason to look for it when the existing margin is secure. Profit persists instead of being competed away, which means the signal is broadcast but never acted on, and the reallocation it called for never happens. Price and output stay where they were, and the signal is never acted on

  10. Why does removing property rights stop the process before it starts?
    Show the full solution

    Because the firm develops the filter in the expectation of capturing the return, and if the design can be seized or the factory taken then that return cannot be captured. The rational response is not to develop it, so the product never exists and none of the four years of falling prices and rising output occurs. Property rights are therefore not merely a fairness matter; they are a precondition for the investment that begins the whole sequence. Without a capturable return, the firm never develops the product at all

Lesson 2.4 · Unit 2 · CA HSS 12.2.4

How prices reflect relative scarcity and allocate resources

A price looks like a number attached to a product. It is better understood as a compressed message about how scarce something is relative to how much people want it, and the message does work that no committee could do.

The key ideas
  1. A price reflects relative scarcity, rising when a good becomes scarcer relative to wants and falling when it becomes more plentiful.
  2. The allocative function is that a price directs a good to the uses where it is valued most, since only those uses will pay it.
  3. Prices ration on the demand side by discouraging the least valuable uses first.
  4. Prices attract on the supply side by making it worth producing more of what has become scarce.
  5. The information in a price is dispersed, since no single participant knows why it moved and none of them needs to.
  6. A price economizes on information: a buyer needs to know the number and not the harvest, the strike, the shipping delay or the new factory.
  7. Blocking a price change does not remove the scarcity, it removes the signal, so the adjustment happens through queues, shortages and rationing instead.
  8. Prices allocate by willingness and ability to pay, which is efficient and is not the same as allocating by need.

Where students lose marks: treating a price rise as the cause of hardship. The scarcity causes the hardship; the price reports it. Suppressing the report does not restore the supply, which is the argument of lesson 2.6.

Worked example

Constructed case. An invented copper supply disruption, traced through the uses of copper to show allocation happening.

The setup. Copper is 8,000 per tonne. A major mine floods and world supply falls by 12 per cent. Price rises to 11,600. Five industries use copper.

UseValue of copper to this use, per tonneContinues at 11,600?
Medical imaging components40,000Yes
Electrical wiring19,000Yes
Industrial motors13,500Yes
Decorative fittings10,200No
Novelty souvenirs8,900No

Step one: identify who stops buying. The two uses valuing copper below 11,600 stop, because paying 11,600 for something worth 10,200 to you is a loss. Nobody instructed them to stop.

Step two: notice which two they are. The lowest valued uses. The price removed exactly the uses that mattered least and left the medical, electrical and industrial uses untouched. That is the allocative function working.

Step three: ask how a committee would have done this. It would need to know the value of copper in every use in the economy, including uses nobody thought to report, and would need to update as those values changed. The price accomplished it without anyone holding that information.

Step four: follow the supply response. At 11,600, mines with extraction costs between 8,000 and 11,600 become profitable and reopen. Recycling copper becomes worth doing at scale. Both add supply, and neither would have happened at the old price.

Step five: follow the substitution response. At 11,600, aluminum and fiber optic alternatives that were not worth their disadvantages at 8,000 now are, so engineers redesign products to use less copper. That reduces demand permanently.

Step six: state the three responses together. The price simultaneously pushed out low-value uses, pulled in new supply, and triggered substitution. One number did all three, and it did so continuously rather than at a meeting.

Step seven: suppress the price and rerun. Hold copper at 8,000 by law. Supply is still 12 per cent lower, so the shortage is real. Souvenir makers keep buying because 8,000 is less than 8,900, and hospitals may go short. Allocation now depends on who ordered first, who has connections, or who queues, rather than on value.

Step eight: state the honest qualification. The price allocates by willingness and ability to pay, which tracks value only where buyers have the means. A household priced out of heating is not signaling that warmth matters little to it. That is a genuine limitation of the mechanism, and it is an argument for transferring income rather than for suppressing the price, since suppression loses the allocation without creating the supply.

Practice · 10 questions

Questions 1 to 5 are recall. Questions 6 to 10 ask for reasoning.

  1. What does a price reflect?
    Show the full solution

    Relative scarcity: how scarce a good is compared with how much people want it

  2. State the allocative function of price.
    Show the full solution

    It directs a good to the uses that value it most, since only those will pay the price

  3. How does a price ration on the demand side?
    Show the full solution

    By discouraging the least valuable uses first

  4. Why does a price economize on information?
    Show the full solution

    Because a buyer needs only the number, not the reason it moved

  5. What does a price allocate by?
    Show the full solution

    Willingness and ability to pay

  6. Work through which uses stop and why that outcome is notable.
    Show the full solution

    Decorative fittings value copper at 10,200 and novelty souvenirs at 8,900, both below the new price of 11,600, so both stop buying rather than pay more than the copper is worth to them. Medical imaging at 40,000, wiring at 19,000 and motors at 13,500 continue. What is notable is that the two uses eliminated are precisely the two lowest valued ones, and nobody ranked them or instructed anyone. The two lowest valued uses stop, without anyone ranking them

  7. What would a committee need to know to reproduce that result?
    Show the full solution

    The value of copper in every single use throughout the economy, including uses in small firms nobody thought to survey and uses that would exist if circumstances changed, and it would have to update all of it continuously as those values moved. No committee can assemble that, and the participants themselves could not report it honestly since understating rivals' needs would serve them. The price achieved it without any participant holding the information. Every use's value across the whole economy, updated continuously and reported honestly

  8. Name the three responses the price triggered at once.
    Show the full solution

    It pushed low-value uses out of the market, since paying 11,600 for something worth 10,200 is a loss. It pulled in new supply, because mines with extraction costs between 8,000 and 11,600 became profitable and recycling became worth doing at scale. And it triggered substitution, because aluminum and fiber alternatives not worth their disadvantages at 8,000 became worth them at 11,600. One number did all three. Rationing of low-value uses, new supply entering, and substitution away from copper

  9. What happens if the price is held at 8,000 by law?
    Show the full solution

    The shortage remains, because supply is still 12 per cent lower and the law changed no physical fact. Souvenir makers keep buying, since 8,000 is below the 8,900 the copper is worth to them, and high-value users may go short. No additional mines reopen and no substitution occurs, since neither is profitable at 8,000. Allocation then depends on who ordered first, who has connections or who queues, rather than on value. The shortage persists and allocation shifts from value to queuing and connections

  10. State the honest limitation of allocation by price.
    Show the full solution

    Willingness to pay tracks value only where buyers have the means to pay, so a household priced out of heating is not thereby signaling that warmth matters little to it. The mechanism measures value weighted by purchasing power. That is a real limitation, and it argues for transferring income to those who lack it rather than for suppressing the price, since suppression destroys the allocation without creating any additional supply. It weights value by purchasing power, which argues for income transfers not price controls

Lesson 2.5 · Unit 2 · CA HSS 12.2.5

How competition among buyers and sellers actually reaches a price

Equilibrium is usually drawn as a point where two lines cross, which makes it look like a calculation someone performed. It is better understood as the resting place of a process, and watching the process run is what makes the concept real.

The key ideas
  1. Equilibrium is the price at which quantity demanded equals quantity supplied, so nobody has an unmet reason to change what they are doing.
  2. Above equilibrium there is a surplus, and unsold stock gives sellers a reason to cut price.
  3. Below equilibrium there is a shortage, and unsatisfied buyers give sellers a reason to raise price and buyers a reason to outbid.
  4. Competition among sellers drives price down toward the lowest cost at which supply is still forthcoming.
  5. Competition among buyers drives price up toward the highest value buyers place on the good.
  6. The two pressures meet where the marginal buyer and marginal seller are just willing, which is the equilibrium.
  7. Nobody needs to know the equilibrium price in advance, since the process finds it through individual adjustments made on local information.
  8. Markets differ in how fast they converge, depending on how quickly participants observe prices and how easily they can change what they do.

Where students lose marks: describing equilibrium as a place where supply equals demand. Supply and demand are whole schedules; it is the quantities at that one price that are equal.

Worked example

A constructed auction. Six buyers and six sellers of an identical item, each with a private reservation price. Run the process and see where it settles.

BuyerMost willing to paySellerLeast willing to accept
B195S130
B282S241
B370S350
B458S461
B547S574
B636S688

Step one: try a price of 80. Buyers willing to pay 80 or more: B1 and B2, so two units demanded. Sellers willing to accept 80 or less: S1, S2, S3, S4 and S5, so five units supplied. Surplus of three.

Step two: state what sellers do. Three sellers cannot find a buyer at 80. Each would rather sell at 70 than not sell at all, since each of their reservation prices is below 70. One of them offers 70 to win a sale, and the others must match or lose out.

Step three: try a price of 45. Buyers willing to pay 45 or more: B1, B2, B3, B4 and B5, so five demanded. Sellers willing to accept 45 or less: S1 and S2, so two supplied. Shortage of three.

Step four: state what buyers do. Three buyers cannot obtain a unit at 45. B3 values one at 70 and would rather pay 55 than go without, so B3 offers more. Buyers competing against each other push the price up.

Step five: try 55 to 58. At 57, buyers B1 through B4 are willing, which is four demanded. Sellers S1, S2 and S3 are willing, which is three supplied. Still a shortage of one, so pressure remains upward.

Step six: try 60. Buyers B1 through B4 are still willing, since B4's limit is 58... and in fact B4 drops out above 58. At 60, buyers are B1, B2 and B3, which is three. Sellers are S1, S2 and S3, which is three. Quantities are equal.

Step seven: identify the equilibrium range. Any price from 59 to 61 clears, with three units trading. B3 and S3 are the marginal participants: B3 values a unit at 70 and pays about 60, while S3 would accept 50 and receives about 60. Neither is desperate and neither would trade at a price much worse.

Step eight: state what the process demonstrates. No participant knew 60 in advance. Each acted on their own reservation price and what they observed others doing, and the price converged because a surplus gives sellers a reason to cut and a shortage gives buyers a reason to bid. That is what determination of a market price actually means.

Practice · 10 questions

Questions 1 to 5 are recall. Questions 6 to 10 ask for reasoning.

  1. Define equilibrium.
    Show the full solution

    The price at which quantity demanded equals quantity supplied

  2. What exists above the equilibrium price?
    Show the full solution

    A surplus of unsold goods

  3. What exists below the equilibrium price?
    Show the full solution

    A shortage of unsatisfied buyers

  4. Which way does competition among buyers push price?
    Show the full solution

    Up

  5. Which way does competition among sellers push price?
    Show the full solution

    Down

  6. Work through what happens at a price of 80.
    Show the full solution

    Only B1 at 95 and B2 at 82 are willing to pay 80, so two units are demanded, while S1, S2, S3, S4 and S5 are all willing to accept 80 or less, so five are supplied. That is a surplus of three. Three sellers therefore have no buyer, and each would rather sell at a lower price than not sell at all, so one offers less and the others must match or lose the sale. Price falls. Two demanded against five supplied, so three sellers must cut their price

  7. Work through what happens at 45.
    Show the full solution

    B1 through B5 are all willing to pay 45, so five units are demanded, while only S1 at 30 and S2 at 41 will accept it, so two are supplied. That is a shortage of three. Three buyers get nothing, and B3, who values a unit at 70, would far rather pay 55 than go without, so B3 offers more. Buyers competing against one another push price upward. Five demanded against two supplied, so disappointed buyers bid the price up

  8. Find the equilibrium and identify the marginal participants.
    Show the full solution

    At 60, buyers B1, B2 and B3 are willing, since B4's limit of 58 is below it, so three are demanded. Sellers S1, S2 and S3 are willing, since S4's minimum of 61 is above it, so three are supplied. Any price from 59 to 61 clears with three units trading. The marginal participants are B3, who values a unit at 70, and S3, who would accept 50; they are the last buyer and seller to trade. Equilibrium near 60 with three units, B3 and S3 being marginal

  9. Why does nobody need to know the equilibrium price in advance?
    Show the full solution

    Because each participant acts only on their own reservation price and on what they observe happening around them, and those local actions have a consistent direction. A surplus means some seller is holding unsold stock they would rather sell cheaper, so price is pushed down; a shortage means some buyer is going without something they value more than the asking price, so price is pushed up. The process converges without any participant computing anything. Surpluses and shortages each give someone a reason to move price the right way

  10. Why do some markets converge faster than others?
    Show the full solution

    Because convergence depends on how quickly participants can observe prices and how easily they can change what they do. A share market where every transaction is posted instantly and orders can be changed in a second converges almost immediately. A housing market where each sale is private, comparable properties differ, and moving takes months converges slowly, which is why house prices can sit above the clearing level for a long time with few sales. It depends on how fast prices are observed and how quickly participants can adjust

Lesson 2.6 · Unit 2 · CA HSS 12.2.6

What ceilings and floors do to buyers and sellers

A price control is a legal limit on what a price may be. Working out its effects is the most reliable test of whether a student has understood the previous five lessons, because every result follows from them.

The key ideas
  1. A price ceiling is a legal maximum price.
  2. A price floor is a legal minimum price.
  3. A ceiling only binds below the equilibrium price, and a ceiling above it changes nothing.
  4. A binding ceiling produces a persistent shortage, because quantity demanded exceeds quantity supplied and price cannot rise.
  5. A binding floor produces a persistent surplus, for the mirror reason.
  6. Non-price rationing replaces price rationing: queues, waiting lists, favoritism, quality reduction and illegal side payments all appear.
  7. The distributional effect is mixed: buyers who obtain the good at the controlled price gain, buyers who cannot obtain it lose, and sellers lose.
  8. Quality falls under a ceiling, since a seller who cannot raise price can reduce what is delivered for it.
  9. The long run is worse than the short run, because a controlled price discourages the investment that would have expanded supply.

Where students lose marks: saying that a price ceiling makes a good cheaper. It makes the good cheaper for those who get it and unobtainable for others, so the average buyer's position depends entirely on which group they land in.

Worked example

Constructed schedules. An invented rental market, analyzed under a ceiling, then a labor market under a floor.

Monthly rentApartments demandedApartments supplied
60034,00018,000
80030,00022,000
1,00026,00026,000
1,20022,00030,000

Step one: find equilibrium. At 1,000 both quantities are 26,000. That is where the market settles without intervention.

Step two: impose a ceiling of 600. Demand is 34,000 and supply is 18,000. The shortage is 16,000 apartments, and it is permanent, because the mechanism that would have closed it has been removed by law.

Step three: identify winners and losers precisely. Of the 34,000 households wanting an apartment, 18,000 get one and save 400 a month each, which is 7,200,000 a month in total. The other 16,000 get nothing, where 8,000 of them would have had an apartment at the market price. Landlords lose.

Step four: explain why supply falls to 18,000. At 600, owners with maintenance and financing costs between 600 and 1,000 cannot cover them, so units are converted to other uses, sold, or left vacant, and no new building starts. The ceiling did not merely fail to create apartments; it removed some.

Step five: predict the non-price rationing. With 34,000 households chasing 18,000 units, landlords choose among applicants. Waiting lists appear, so do references, preference for those without children, key money paid under the table, and long tenancies that never turn over. Allocation shifts to whoever is best placed to wait or to pay informally.

Step six: predict the quality effect. A landlord who cannot raise rent can lower cost. Repairs are deferred, painting stops, and heating is minimized. The effective price of a unit of housing quality therefore rises even though the posted rent fell.

Step seven: switch to a floor. In an invented labor market the equilibrium wage for a category of work is 13 an hour, with 40,000 employed. A floor of 17 is imposed. At 17, employers want 34,000 workers and 47,000 people want the work, so 13,000 are unemployed in that category.

Step eight: state the distributional result and the honest qualification. The 34,000 who keep their jobs gain 4 an hour. The 6,000 who lose jobs lose everything from that work. Whether the policy helps on balance depends on how responsive employment actually is to the wage, which is an empirical question that economists genuinely dispute, and a strong answer says so rather than asserting one side.

Practice · 10 questions

Questions 1 to 5 are recall. Questions 6 to 10 ask for reasoning.

  1. Define a price ceiling and a price floor.
    Show the full solution

    A legal maximum price and a legal minimum price

  2. When does a ceiling bind?
    Show the full solution

    Only when it is set below the equilibrium price

  3. What does a binding ceiling produce?
    Show the full solution

    A persistent shortage

  4. Name three forms of non-price rationing.
    Show the full solution

    Queues and waiting lists, favoritism, quality reduction, and illegal side payments

  5. Why does quality fall under a ceiling?
    Show the full solution

    Because a seller who cannot raise price can instead reduce what is delivered for it

  6. Work through the ceiling and quantify the shortage.
    Show the full solution

    Equilibrium is 1,000 with 26,000 apartments. A ceiling of 600 raises quantity demanded to 34,000 and cuts quantity supplied to 18,000, so the shortage is 16,000 apartments. It is permanent rather than temporary, because the mechanism that would normally close a shortage is a rising price and that has been prohibited. The gap therefore persists for as long as the control does. A permanent shortage of 16,000 apartments

  7. Identify the winners and losers precisely.
    Show the full solution

    The 18,000 households that obtain an apartment save 400 a month each, which is 7,200,000 a month collectively, so they gain substantially. The 16,000 that do not get one lose, and 8,000 of those would have been housed at the market price of 1,000, so the control actively displaced them. Landlords lose 400 a month on every unit let plus the return on the units withdrawn. The policy redistributes rather than simply helping. 18,000 tenants gain 400 a month each; 16,000 households and all landlords lose

  8. Why does supply fall rather than staying constant?
    Show the full solution

    Because owners whose maintenance, tax and financing costs fall between 600 and 1,000 cannot cover them at the controlled rent. Their rational responses are to convert units to other uses, sell them to owner occupiers, or leave them vacant, and no developer starts a new building that cannot cover its costs. The control therefore does not merely fail to create housing; it removes 8,000 units that existed at the market price. Owners whose costs exceed 600 withdraw units, and no new ones are built

  9. Explain how allocation changes and who it favors.
    Show the full solution

    With 34,000 households chasing 18,000 units, landlords must choose among applicants by something other than price, so waiting lists, demands for references, preference for tenants seen as low risk, and key money paid informally all appear. Existing tenants also stop moving, which reduces turnover further. Allocation shifts to those best placed to wait, to those with connections, and to those able to pay outside the rules, rather than to those who value housing most. It favors incumbents, the well-connected and those who can pay informally

  10. Work through the wage floor and state the honest qualification.
    Show the full solution

    At an equilibrium wage of 13, employment is 40,000. A floor of 17 cuts employer demand to 34,000 while 47,000 people want the work, so 6,000 lose their jobs and 13,000 want work they cannot get. The 34,000 remaining gain 4 an hour. Whether this helps on balance depends on how responsive employment actually is to the wage, which economists genuinely dispute, so a strong answer reports the disagreement rather than asserting one side. 34,000 gain 4 an hour and 6,000 lose their jobs, with the true responsiveness disputed

Lesson 2.7 · Unit 2 · CA HSS 12.2.7

What competition does to what is produced, and its quality, quantity and price

Lesson 2.3 showed competition disciplining one industry. This lesson asks what changes when the competitors are in another country, and the answer is that the mechanism is identical while the politics are not.

The key ideas
  1. Competition lowers price by removing the ability of any one seller to charge above what rivals charge.
  2. It raises quality because a buyer with alternatives will leave, so quality becomes a way of competing.
  3. It raises quantity because more sellers produce more and lower prices draw more buyers.
  4. It changes what is produced, since firms specialize in what they do comparatively well rather than making everything.
  5. International competition works by the same mechanism as domestic competition; the foreign firm is simply another rival.
  6. The distributional difference is that the gains and losses fall in different countries, which is why trade is politically contested and domestic competition usually is not.
  7. Gains from international competition are diffuse across all consumers, while losses are concentrated in particular industries and towns.
  8. Concentrated losses organize politically and diffuse gains do not, which explains why protection is demanded more often than it is justified.

Where students lose marks: treating the gains from competition as costless. They are net gains with real losers, and an answer that does not name the losers has not analyzed anything.

Worked example

Constructed arithmetic. An invented domestic appliance industry before and after foreign competition. Quantify both the gain and the loss.

Before. Three domestic firms make washing machines. Price is 700, annual sales are 900,000, and the industry employs 11,000 people. Average product life is six years.

After. Imports arrive. Price falls to 460. Annual sales rise to 1,300,000. Domestic employment in the industry falls to 6,500. Average product life rises to nine years as firms compete on reliability.

Step one: quantify the consumer gain on existing purchases. The 900,000 buyers who would have bought anyway save 240 each, which is 216,000,000 a year.

Step two: quantify the gain to new buyers. A further 400,000 households now buy who previously could not afford to. Their gain is harder to price but is real: each obtains a machine they valued at somewhere between 460 and 700, having previously gone without.

Step three: quantify the quality gain. Product life rising from six years to nine means the annual cost of owning a machine falls from 700 over six years, which is about 117 a year, to 460 over nine, which is about 51. The annual cost has more than halved, which is a larger change than the price fall alone suggests.

Step four: quantify the loss. 4,500 jobs are gone. If each paid 42,000, that is 189,000,000 of annual income removed from specific towns, and the people affected are identifiable individuals rather than a statistic.

Step five: compare honestly. The measurable consumer gain of 216,000,000 exceeds the measurable wage loss of 189,000,000, and the quality and new-buyer gains are additional. The net is positive, and the comparison is not the whole story.

Step six: explain why it is not the whole story. The gain is spread across 1,300,000 households at 240 each, which nobody notices. The loss is concentrated on 4,500 households losing their entire income, in a small number of towns, often with skills specific to the industry.

Step seven: derive the political asymmetry. A household saving 240 a year will not organize, write to a legislator or attend a hearing over it. A household losing 42,000 a year will do all three. Concentrated losses produce political action and diffuse gains do not, so the demand for protection exceeds what the arithmetic justifies.

Step eight: state the policy implication. If the gain genuinely exceeds the loss, then the gainers could in principle compensate the losers and everyone would be better off. That is the case for adjustment assistance, retraining and transitional support rather than for tariffs, since tariffs cancel the gain in order to prevent the loss.

Practice · 10 questions

Questions 1 to 5 are recall. Questions 6 to 10 ask for reasoning.

  1. Name three things competition does to a product.
    Show the full solution

    Lowers its price, raises its quality, and raises the quantity available

  2. Why does competition raise quality?
    Show the full solution

    Because buyers with alternatives will leave, so quality becomes a way of competing

  3. How does international competition differ mechanically from domestic competition?
    Show the full solution

    It does not; the foreign firm is simply another rival

  4. Where do the gains from international competition fall?
    Show the full solution

    Diffusely, across all consumers

  5. Where do the losses fall?
    Show the full solution

    Concentrated in particular industries and towns

  6. Quantify the consumer gain from the price fall.
    Show the full solution

    The 900,000 households that would have bought a machine anyway each save 700 minus 460, which is 240, giving a total saving of 216,000,000 a year. A further 400,000 households now buy who previously could not afford to, and each gains the difference between what they valued the machine at and the 460 they paid. The second group's gain is harder to measure but is real, since they previously went without entirely. 216,000,000 a year to existing buyers, plus real gains to 400,000 new ones

  7. Work out the quality gain and explain why it exceeds the price fall.
    Show the full solution

    Owning a machine costing 700 and lasting six years costs about 117 a year. Owning one costing 460 and lasting nine years costs about 51 a year. The annual cost has more than halved, whereas the price alone fell by about a third. The quality improvement multiplies the price effect, because a buyer purchases years of service rather than an object, and reliability is a margin firms compete on once price competition begins. Annual ownership cost falls from 117 to 51, more than halving

  8. Quantify the loss and compare it honestly with the gain.
    Show the full solution

    Employment falls from 11,000 to 6,500, so 4,500 jobs are lost, and at 42,000 each that removes 189,000,000 of annual income from a small number of towns. The measurable consumer gain of 216,000,000 exceeds that, and the quality and new-buyer gains are additional, so the net is positive. The comparison is honest only if it states that 4,500 identifiable people bear the whole cost while the gain is spread across 1,300,000. 189,000,000 in lost wages against 216,000,000 in savings, so positive net with real losers

  9. Explain the political asymmetry.
    Show the full solution

    A household saving 240 a year will not organize, contact a legislator or attend a hearing about it, because the saving is too small to justify the effort and most households will not even notice it. A household losing 42,000 a year will do all three, and so will its neighbors, its union and its town's representatives. Concentrated losses therefore generate political pressure that diffuse gains never generate, so protection is demanded far more often than the arithmetic supports. Small diffuse gains never organize while large concentrated losses always do

  10. What policy follows from the arithmetic, and why not a tariff?
    Show the full solution

    Since the gain of 216,000,000 exceeds the loss of 189,000,000, the gainers could in principle compensate the losers and everyone would end up better off, which is the case for adjustment assistance, retraining and transitional income support. A tariff does the opposite: it prevents the loss by canceling the gain, restoring the higher price for all 1,300,000 households in order to protect 4,500 jobs, which destroys more value than it preserves. Compensate the losers from the gains; a tariff cancels the gain to prevent the loss

Lesson 2.8 · Unit 2 · CA HSS 12.2.8

Profit as the entrepreneur's incentive, and what losses do

An entrepreneur commits resources now in the expectation of a return later, under uncertainty about whether it will come. Profit is what makes that bet worth taking, and understanding why requires taking the risk seriously.

The key ideas
  1. An entrepreneur organizes the other factors of production and bears the risk of the venture.
  2. Accounting profit is revenue minus explicit costs paid out.
  3. Economic profit is revenue minus explicit costs and minus the opportunity cost of the resources used, including the entrepreneur's own time and capital.
  4. Normal profit is the return just sufficient to keep the entrepreneur in this activity rather than the next best one, so zero economic profit still means a viable business.
  5. Profit compensates for risk, because most ventures fail and the expected return must cover the failures as well as the successes.
  6. Profit compensates for delay, since resources are committed before any revenue arrives.
  7. Losses close businesses, which frees the labor, premises and capital for uses that buyers value more.
  8. Failure is part of the mechanism rather than a malfunction of it, which is why the ease of closing a business matters as much as the ease of starting one.

Where students lose marks: using accounting profit when the question needs economic profit. A business earning 40,000 whose owner could earn 70,000 elsewhere is making an accounting profit and an economic loss, and only the second answers whether they should continue.

Worked example

Constructed arithmetic. An invented venture, with the risk made explicit so the required return can be derived rather than asserted.

The venture. Opening a bakery. Setup costs 120,000 of the owner's savings. Annual revenue if successful is 310,000. Annual explicit costs are ingredients 90,000, rent 48,000, wages 96,000, utilities and insurance 22,000.

Step one: compute accounting profit. Explicit costs total 90,000 plus 48,000 plus 96,000 plus 22,000, which is 256,000. Revenue of 310,000 minus 256,000 gives an accounting profit of 54,000.

Step two: identify the implicit costs. The owner could earn 47,000 working elsewhere, and the 120,000 in savings could earn 5 per cent in a safe investment, which is 6,000. Neither appears in the accounts and both are real costs.

Step three: compute economic profit. 54,000 minus 47,000 minus 6,000 equals 1,000. The bakery is barely worth running compared with the alternatives, despite an accounting profit that looks healthy.

Step four: state what that means. An economic profit near zero is normal profit: the owner is doing about as well as the next best option. This is the usual condition of a competitive industry, and it does not mean the business is failing.

Step five: introduce the risk. Suppose only 40 per cent of new bakeries survive five years. The expected return must account for the 60 per cent chance of losing much of the 120,000 as well as five years of the owner's time.

Step six: work the expected value. If success gives 1,000 a year of economic profit and failure costs, say, 80,000 once, then expected annual economic profit is 0.4 times 1,000 minus a share of 0.6 times 80,000. The venture is unattractive: the upside does not compensate for the risk.

Step seven: derive the required profit. For the bet to be worth taking, the successful case must pay much more than 1,000, because it must cover the failures too. That is why profits in risky activities are higher on average, and why observing a high return in one surviving firm says little without knowing how many similar firms failed.

Step eight: follow a loss through. Suppose revenue is only 240,000. Accounting loss is 16,000 and economic loss is 69,000. The owner closes. The premises become available to a business buyers value more, the four employees move to firms that can pay them, and the owner takes the 47,000 job. Every resource is released to a higher valued use, which is what makes failure part of the mechanism.

Practice · 10 questions

Questions 1 to 5 are recall. Questions 6 to 10 ask for reasoning.

  1. What does an entrepreneur do?
    Show the full solution

    Organizes the other factors of production and bears the risk of the venture

  2. Distinguish accounting profit from economic profit.
    Show the full solution

    Accounting profit subtracts explicit costs; economic profit also subtracts opportunity costs

  3. Define normal profit.
    Show the full solution

    The return just sufficient to keep the entrepreneur in this activity rather than the next best one

  4. Name two things profit compensates for.
    Show the full solution

    Risk of failure and the delay between committing resources and receiving revenue

  5. What useful function does a business closing perform?
    Show the full solution

    It frees labor, premises and capital for uses buyers value more

  6. Compute both profit measures for the bakery.
    Show the full solution

    Explicit costs are 90,000 for ingredients, 48,000 rent, 96,000 wages and 22,000 utilities and insurance, totaling 256,000, so accounting profit is 310,000 minus 256,000, which is 54,000. The implicit costs are the 47,000 the owner could earn elsewhere and the 6,000 the 120,000 of savings could earn at 5 per cent. Economic profit is therefore 54,000 minus 53,000, which is 1,000. 54,000 accounting profit against 1,000 economic profit

  7. Why does an economic profit near zero not mean failure?
    Show the full solution

    Because zero economic profit means the owner is earning exactly as much as the next best alternative would pay, including a normal return on their capital and a normal wage for their time. They are fully compensated and have no reason to move. This is the usual long-run condition of a competitive industry, since any surplus above it attracts entry that competes the surplus away, as lesson 2.3 showed. Zero economic profit means earning exactly the next best alternative, which is viable

  8. Explain why risk requires the successful case to pay much more than normal profit.
    Show the full solution

    Because the entrepreneur does not know in advance which case they are in, so the return they can expect is the average across all outcomes weighted by probability. If only 40 per cent of new bakeries survive five years, then the successful 40 per cent must generate enough to cover the losses of the other 60 per cent as well as their own normal return, or nobody would rationally start one. An upside of 1,000 a year plainly cannot do that. The successful cases must cover the failed ones, since the outcome is unknown in advance

  9. What does this imply about observing a highly profitable surviving firm?
    Show the full solution

    That the observation is close to meaningless on its own, because survivors are selected precisely for having succeeded. A 30 per cent return in a business where two thirds of entrants fail may represent a poor expected return once the failures are counted, while a 6 per cent return in a safe business may be excellent. Judging any industry's profitability requires knowing the failure rate, and failed firms are invisible by construction. Survivors are selected for success, so their returns say nothing without the failure rate

  10. Trace what happens when revenue is only 240,000.
    Show the full solution

    Accounting loss is 240,000 minus 256,000, which is 16,000, and economic loss is that plus the 53,000 of forgone alternatives, which is 69,000. The owner closes. The premises then become available to a business that buyers value enough to pay the rent, the four employees move to employers who can afford their wages, and the owner takes the 47,000 job. Every resource is released to a use valued more highly. A 69,000 economic loss closes it, releasing premises, workers and the owner to better uses

Lesson 2.9 · Unit 2 · CA HSS 12.2.9

What financial markets are for

A financial market moves money from people who have more than they currently want to spend to people who want to spend more than they currently have. Everything else it does is a consequence of doing that job.

The key ideas
  1. The primary function is intermediation: channeling savings to investment, so that resources go to whoever can use them most productively.
  2. A stock is a share of ownership in a company, carrying a claim on its profits and, usually, a vote.
  3. A bond is a loan to a company or government, carrying a fixed schedule of repayment and no ownership.
  4. Financial markets provide liquidity, meaning an asset can be converted to cash quickly without a large loss in value.
  5. They price risk, so that riskier borrowers pay more and the price itself carries information about how risky a venture is judged.
  6. They spread risk by letting many people each hold a small share of many ventures rather than one person holding all of one.
  7. They aggregate dispersed information into a price, since everyone with an opinion about a company's prospects can act on it.
  8. They can fail badly, through bubbles when prices detach from underlying value, through panics when liquidity vanishes, and through incentives that reward risk taken with other people's money.

Where students lose marks: describing a stock market as a place where people gamble. Trading is the visible part; the function is turning savings into productive capacity, and the visible part is what makes the function possible.

Worked example

Constructed case. An invented firm needing capital. Work out each financing route and what it costs.

The need. A firm making industrial sensors wants 8,000,000 to build a factory. It currently earns 1,400,000 a year and expects the factory to add 2,600,000 annually once running, after two years of construction.

Step one: consider retained earnings. At 1,400,000 a year, funding the factory internally takes nearly six years, during which competitors build theirs. The opportunity cost of waiting is the whole project.

Step two: consider a bond issue. The firm borrows 8,000,000 at 7 per cent, paying 560,000 a year in interest and repaying the principal at maturity. Against 2,600,000 of additional annual earnings, that is comfortable once the factory runs, and it must be paid during the two construction years when the factory earns nothing.

Step three: identify the bond's risk. Interest is owed whether or not the project succeeds. If the factory earns only 400,000, the firm still owes 560,000 and must find it elsewhere or default. Debt is cheap and unforgiving.

Step four: consider a stock issue. The firm sells new shares for 8,000,000. There is no interest and no repayment. Existing owners now hold a smaller fraction of a larger company, and if the firm's value rises from 20,000,000 to 34,000,000 they have traded a share of a bigger gain.

Step five: identify the stock's cost. Dilution and loss of control. If the factory succeeds enormously, the new shareholders take a permanent share of the upside, which over twenty years can far exceed 560,000 a year. Equity is expensive and forgiving.

Step six: state the rule that emerges. Debt suits predictable projects with reliable cash flow; equity suits uncertain projects whose returns cannot be promised. The choice reveals how confident the firm is, which is itself information for outside observers.

Step seven: work the risk pricing. Suppose a second firm with weaker finances must pay 12 per cent instead of 7. The 5 point difference is the market's estimate of default risk, published continuously and free to read. No regulator computed it; lenders competing for the business did.

Step eight: work the risk spreading. If one investor lends the whole 8,000,000 and the firm fails, that investor is ruined. If 4,000 investors each buy 2,000 of the bond, a failure costs each of them 2,000, and each of them holds forty other bonds too. The same total risk is borne with far less damage, which is why projects of this size can be financed at all.

Practice · 10 questions

Questions 1 to 5 are recall. Questions 6 to 10 ask for reasoning.

  1. State the primary function of a financial market.
    Show the full solution

    Channeling savings to investment, so resources reach those who can use them most productively

  2. Distinguish a stock from a bond.
    Show the full solution

    A stock is a share of ownership with a claim on profits; a bond is a loan with a fixed repayment schedule

  3. Define liquidity.
    Show the full solution

    The ability to convert an asset into cash quickly without a large loss of value

  4. Name two ways financial markets handle risk.
    Show the full solution

    They price it, so riskier borrowers pay more, and they spread it across many holders

  5. Name two ways financial markets fail.
    Show the full solution

    Bubbles when prices detach from value, panics when liquidity vanishes, and incentives rewarding risk taken with others' money

  6. Why is waiting to fund the factory internally so costly?
    Show the full solution

    Because at 1,400,000 of annual earnings it takes nearly six years to accumulate 8,000,000, and during those six years competitors who can raise capital will build their own factories and take the market. The opportunity cost of waiting is not six years of delayed profit but potentially the entire project, since the opportunity may not still exist. That is exactly the problem financial intermediation solves. Nearly six years of accumulation during which rivals take the opportunity

  7. Compare the risk profile of debt and equity for this firm.
    Show the full solution

    The bond costs 560,000 a year regardless of outcome, including the two construction years when the factory earns nothing, and if the factory delivers only 400,000 the firm still owes the full amount and must find it elsewhere or default. Equity costs nothing if the project fails, since there is no repayment obligation, but gives new shareholders a permanent share of the upside if it succeeds. Debt is cheap and unforgiving; equity is expensive and forgiving. Debt owes 560,000 whatever happens; equity costs nothing on failure and much on success

  8. What does a firm's financing choice reveal to outsiders?
    Show the full solution

    How confident its managers are in the project. Choosing debt commits to fixed payments regardless of outcome, which a firm does only when it expects cash flow to be reliable. Choosing equity, and accepting permanent dilution, suggests the returns are uncertain enough that fixed obligations would be dangerous, or that management thinks the shares are currently well priced. The choice is therefore itself a signal, readable without any inside information. Debt signals confidence in reliable cash flow; equity signals uncertainty

  9. Explain what the gap between 7 and 12 per cent represents.
    Show the full solution

    The market's estimate of the extra probability that the weaker firm defaults. Lenders competing to make the loan bid the rate down to the lowest level that still compensates them for expected losses, so the 5 point gap is a continuously updated, publicly readable assessment of relative risk. No regulator or agency computed it, and anyone considering dealing with either firm can read it for free, which is the informational function of a financial market. Five points of extra default risk, priced continuously by competing lenders

  10. Work through how risk spreading makes the project financeable.
    Show the full solution

    If a single investor lends the whole 8,000,000 and the firm fails, that investor is ruined, so almost nobody would take the position and the factory is never built. If 4,000 investors each buy 2,000 of the bond, a total failure costs each of them 2,000, which is survivable, and each of them also holds forty other bonds so the loss is a small part of their position. The same aggregate risk is borne with far less damage to anyone. Dividing the loan means failure costs each holder 2,000 rather than ruining one

Lesson 2.10 · Unit 2 · CA HSS 12.2.10

The economic principles that place agriculture, industry, transport and retail

Where something is produced is an economic decision like any other, made by comparing costs. The state's standard asks for the principles, and there are four that account for almost every location you will ever need to explain.

The key ideas
  1. Principle one, the rent gradient: land near a market commands higher rent, so it must be used more intensively and low-value uses move outward.
  2. Agricultural land use follows it, with perishable and high-value production close in and bulky durable production further out, which is von Thunen's result.
  3. Principle two, transport cost on inputs against outputs: an activity locates near its materials if they cost more to move than the product, and near its market if the reverse.
  4. Weight-losing industries go to the materials and weight-gaining industries go to the market.
  5. Principle three, agglomeration: firms cluster because a shared labor pool, specialist suppliers and the exchange of knowledge lower everyone's costs.
  6. Principle four, threshold and range for retail and services: a service exists where enough customers live within the distance they will travel to reach it.
  7. Transport networks reshape all four, because they change the cost of distance and therefore every calculation built on it.
  8. Break of bulk points attract activity, since goods must be handled where they transfer between transport modes and processing there adds no extra handling.

Where students lose marks: naming a location factor without comparing it to an alternative. Location is always a comparison, so the answer must say where else the activity could have gone and why that would have cost more.

Worked example

Four constructed decisions. One for each principle, worked with numbers.

Decision one: what to grow at two distances. Land 12 km from a city rents for 850 per hectare; land 90 km out rents for 140. Salad greens earn 3,200 per hectare but must reach market within a day. Barley earns 600 per hectare and stores for months.

Step one: test each crop at each location. Salad greens at 12 km yield 3,200 minus 850, which is 2,350. Barley at 12 km yields 600 minus 850, which is a loss of 250. Barley at 90 km yields 600 minus 140, which is 460. Greens cannot be grown at 90 km at all, because they spoil.

Step two: state the allocation. Greens take the close land and barley the far land, and neither farmer consulted the other. The rent gradient allocated the land to the use that could pay for it.

Decision two: where to put a sugar refinery. Eight tonnes of beet yield one tonne of sugar. Transport is 3 per tonne per 100 km. The beet fields are 400 km from the city market.

Step three: compute both options. At the fields, one tonne of sugar travels 400 km at 3 per 100 km, costing 12. At the market, eight tonnes of beet travel 400 km, costing 96. Locating at the fields saves 84 per tonne of sugar.

Step four: name the principle. Weight-losing production locates at the materials, because moving the waste is pointless. A bottling plant, which adds ubiquitous water, gives the opposite answer for the same reason.

Decision three: why software firms cluster. A firm in a cluster of 200 similar firms can hire a specialist in three weeks; the same firm alone in a small town takes nine months or must relocate someone.

Step five: price the difference. If a delayed project costs 40,000 a month in lost revenue, the hiring difference is worth about 240,000 per specialist hired. That dwarfs any saving on rent, which is why such firms pay the highest office rents in the country.

Step six: name the other two agglomeration benefits. Specialist suppliers exist only where enough buyers cluster, and knowledge circulates between firms through people moving and talking. Neither can be purchased by a firm acting alone.

Decision four: where to put a furniture showroom. It needs 45,000 households within its range to be viable. Household density is 900 per square kilometer, and customers will drive 20 minutes, which is about 15 km.

Step seven: test viability. A radius of 15 km encloses about 707 square kilometers, holding about 636,000 households, far above the 45,000 threshold. The showroom is viable, and so are several competitors, which is why furniture retailers cluster on ring roads rather than spreading evenly.

Step eight: state the unifying point. All four decisions compared the cost of one location with the cost of another. No principle here is a rule about where things belong; each is a method for working out which alternative is cheaper.

Practice · 10 questions

Questions 1 to 5 are recall. Questions 6 to 10 ask for reasoning.

  1. State the rent gradient principle.
    Show the full solution

    Land near a market commands higher rent, so it is used more intensively and low-value uses move outward

  2. Where does a weight-losing industry locate, and why?
    Show the full solution

    Near its materials, because moving the discarded weight would be pointless

  3. Name three agglomeration benefits.
    Show the full solution

    A shared labor pool, specialist suppliers, and the exchange of knowledge

  4. Define threshold and range.
    Show the full solution

    The minimum customers a service needs, and the maximum distance people will travel to it

  5. Why do break of bulk points attract activity?
    Show the full solution

    Because goods must be handled there anyway, so processing adds no extra transfer cost

  6. Work through the two crops at the two distances.
    Show the full solution

    Salad greens at 12 km earn 3,200 minus 850 of rent, which is 2,350, while barley there earns 600 minus 850, a loss of 250. At 90 km barley earns 600 minus 140, which is 460, and greens cannot be grown at all since they spoil before reaching market. Greens therefore take the close land and barley the far land. Neither farmer consulted the other; the rent gradient made the allocation. Greens earn 2,350 close in where barley loses 250; barley earns 460 far out

  7. Work through the refinery calculation.
    Show the full solution

    Eight tonnes of beet yield one tonne of sugar, and transport costs 3 per tonne per 100 km over 400 km, which is 12 per tonne. Refining at the fields means moving one tonne of sugar, costing 12. Refining at the market means moving eight tonnes of beet, costing 96. Locating at the fields saves 84 per tonne of sugar, because the seven tonnes of waste never travel at all. 12 to ship the sugar against 96 to ship the beet, saving 84 a tonne

  8. Why do software firms pay the highest rents in the country?
    Show the full solution

    Because the agglomeration benefit exceeds the rent premium by a wide margin. A firm in a cluster of 200 similar firms hires a specialist in three weeks where an isolated firm needs nine months or must relocate someone, and if a delayed project costs 40,000 a month that difference is worth roughly 240,000 per hire. Add specialist suppliers and circulating knowledge, and the cluster advantage dwarfs any conceivable saving on office space. Faster specialist hiring alone is worth about 240,000, far more than any rent saving

  9. Test the showroom's viability and explain the clustering it implies.
    Show the full solution

    A 15 km range encloses about 707 square kilometers, which at 900 households per square kilometer holds roughly 636,000 households against a threshold of 45,000. The showroom is comfortably viable, and so are a dozen competitors on the same site, since the catchment supports many times the threshold. That is why furniture retailers cluster on ring roads rather than spreading evenly: each one's customers are willing to travel, so proximity to rivals costs little and shared traffic helps. 636,000 households against a 45,000 threshold, so many competitors can cluster

  10. What do all four decisions have in common methodologically?
    Show the full solution

    Each compared the cost of one location against the cost of a specific alternative rather than asserting where the activity belongs. The greens were compared with barley on the same land, the refinery at the fields with the refinery at the market, the clustered firm with the isolated one, and the showroom's catchment with its threshold. No principle in this lesson is a rule about location; each is a method for working out which alternative costs less. Every one is a comparison between named alternatives, not a rule about belonging

Unit 2 review · The Market Economy · CA HSS 12.2

Ten questions across the whole unit

Questions 1 to 5 check that you hold the terms. Questions 6 to 10 require you to reason across several lessons at once.

  1. State the laws of supply and demand.
    Show the full solution

    As price rises, quantity demanded falls and quantity supplied rises, other things equal

  2. How is price elasticity of demand calculated?
    Show the full solution

    Percentage change in quantity divided by percentage change in price

  3. What happens to price and quantity when supply falls?
    Show the full solution

    Price rises and quantity falls

  4. What does a binding price ceiling produce?
    Show the full solution

    A persistent shortage, plus non-price rationing and falling quality

  5. Distinguish accounting profit from economic profit.
    Show the full solution

    Accounting profit subtracts explicit costs; economic profit also subtracts opportunity costs

  6. Explain why substitutes determine elasticity, and why elasticity determines revenue.
    Show the full solution

    Substitutes give buyers somewhere to go when a price rises, so a town with a train and a bike path shows a 30 per cent quantity fall against a 20 per cent price rise, while a town with no alternatives shows only 6 per cent. That gives elasticities of 1.5 and 0.3. Since revenue is price times quantity, the same price increase raises revenue where demand is inelastic and lowers it where demand is elastic. More substitutes mean more elastic demand, and elasticity above 1 makes a price rise cut revenue

  7. Why can a price rise not tell you whether supply fell or demand rose?
    Show the full solution

    Because both raise price. In the wheat schedules a supply fall of 200 and a demand rise of 200 each moved the equilibrium price to 240. What distinguishes them is quantity: the supply fall cut it from 700 to 600 while the demand rise pushed it to 800. An observer who knows only that wheat got dearer cannot tell whether the harvest failed or buyers got richer, and those call for opposite responses. Both raise price to the same level; only the quantity change distinguishes them

  8. Explain the allocative function of price using the copper example.
    Show the full solution

    When supply fell and copper rose from 8,000 to 11,600 per tonne, the uses valuing it at 10,200 and 8,900 stopped buying because paying more than the copper was worth to them would be a loss, while medical, electrical and industrial uses continued. The price removed exactly the two lowest valued uses without anyone ranking them, and simultaneously drew in new mines and triggered substitution toward aluminum. It eliminates the lowest valued uses first while attracting supply and substitution

  9. Trace what entry does to a profitable industry, and what monopoly prevents.
    Show the full solution

    A margin of 36 on a cost of 14 signals that inputs are worth far more here than elsewhere, so firms enter. Price fell from 50 to 34 to 19 to 12.50 across four years, output more than doubled, and a cheaper production method discovered by one firm spread to all of them. Under an enforceable monopoly none of that happens: price stays near 50, output near 40,000, and nobody looks for the cheaper method. Entry competes the profit away and spreads innovation; monopoly freezes both

  10. Work through who gains and who loses under a rent ceiling.
    Show the full solution

    With equilibrium at 1,000 and 26,000 apartments, a ceiling of 600 raises quantity demanded to 34,000 and cuts supply to 18,000, a permanent shortage of 16,000. The 18,000 households housed save 400 a month each. The 16,000 who are not lose, including 8,000 who would have been housed at the market price. Landlords lose, quality falls as repairs are deferred, and allocation shifts to queues and connections. 18,000 tenants gain 400 a month; 16,000 households, all landlords and housing quality lose

Lesson 3.1 · Unit 3 · CA HSS 12.3.1

The roles of government in a market economy, and the reasoning behind each

The standard lists five roles government commonly plays in a market economy. Each exists because of a specific thing markets do badly, and naming that thing is what turns a list into an argument.

The key ideas
  1. National defense is a public good, meaning it is non-rival, since one person's protection does not reduce another's, and non-excludable, since nobody in the country can be left out of it.
  2. Non-excludability produces the free rider problem, because someone who does not pay is protected anyway, so voluntary funding collapses.
  3. Environmental problems are negative externalities, costs imposed on third parties who are not part of the transaction.
  4. An externality means the market price is wrong, since it omits a real cost, so too much of the activity occurs.
  5. Defining and enforcing property rights is the precondition for markets themselves, as lesson 2.3 established, and courts and police are how it is done.
  6. Making markets more competitive addresses the tendency of firms to combine, which Smith predicted and which antitrust law targets.
  7. Consumer protection addresses information asymmetry, where the seller knows something material that the buyer cannot verify before buying.
  8. Each role is justified by a specific failure, so the argument for intervention has to identify which failure is present rather than appealing to intervention in general.

Where students lose marks: listing the five roles without naming the market failure each addresses. The reasoning is the answer; the list is just the prompt.

Worked example

Four constructed cases. Identify the failure, then check whether government is actually the remedy.

Case one: a lighthouse. It costs 400,000 a year to run. It benefits 600 ships that pass annually, each valuing it at 2,000, so total benefit is 1,200,000.

Step one: check whether a private market supplies it. Benefit exceeds cost by 800,000, so it is plainly worth building. But the light shines on every ship whether or not its owner paid, so each owner reasons that the light will be there anyway and declines to contribute. Voluntary funding raises little and the lighthouse is not built.

Step two: name the failure precisely. Non-excludability. The good is worth three times its cost and the market still fails to supply it, which is why public provision funded by compulsory payment can make everyone better off.

Case two: a factory discharging into a river. It saves 900,000 a year by not treating its waste. Downstream, 4,000 households each bear 500 a year in extra water treatment and lost use, which is 2,000,000.

Step three: identify why the market gets it wrong. The factory's cost calculation includes what it pays and excludes the 2,000,000 it imposes on others. Its private cost is below the social cost, so it pollutes more than is efficient.

Step four: work out the remedy. A charge of 2,000,000 a year on the discharge makes the factory bear the cost it creates. It will then treat the waste if treatment costs less than 2,000,000, which is exactly the right decision. The aim is not to ban the activity but to make the price correct.

Case three: a used car whose seller knows the transmission is failing. A sound car is worth 9,000 and a failing one 3,000. Buyers cannot tell them apart.

Step five: work out what happens. If buyers believe half the cars are faulty, they will pay about 6,000. Owners of sound cars will not sell at 6,000, so they withdraw, leaving a higher proportion of bad cars, so buyers offer less still. The good cars are driven out of the market.

Step six: name the failure and the remedy. Information asymmetry. The remedies are warranties, required disclosure, inspection standards and liability for concealment, all of which make the seller's private information verifiable.

Case four: two firms supplying a town's only bus routes agree not to compete on price.

Step seven: identify the failure. Not a failure of the market mechanism but a suppression of it. Competition is what produced the results of lesson 2.3, and an agreement to abandon it removes them. This is what Smith predicted about people of the same trade.

Step eight: state the general test. Before proposing intervention, name the failure: is the good non-excludable, is a cost falling on third parties, is material information hidden, or has competition been suppressed? If none of the four applies, the case for intervention has not been made yet, and lesson 3.2 explains why that matters.

Practice · 10 questions

Questions 1 to 5 are recall. Questions 6 to 10 ask for reasoning.

  1. Define a public good.
    Show the full solution

    A good that is non-rival and non-excludable

  2. What is the free rider problem?
    Show the full solution

    That someone who does not pay benefits anyway, so voluntary funding collapses

  3. Define a negative externality.
    Show the full solution

    A cost imposed on third parties who are not part of the transaction

  4. Define information asymmetry.
    Show the full solution

    When one party knows something material that the other cannot verify before the transaction

  5. Name the five roles the standard lists.
    Show the full solution

    National defense, environmental concerns, property rights, making markets competitive, and consumer protection

  6. Work through why the lighthouse is not privately built.
    Show the full solution

    It costs 400,000 and delivers 1,200,000 of benefit, so it is worth three times its cost. But the light shines on every passing ship whether or not its owner paid, so each owner reasons that the others will fund it and the light will be there regardless. Every owner reasons identically, voluntary contributions fall far short, and a good worth building is not built. Non-excludability alone produces this. Each ship benefits without paying, so every owner declines and nothing is funded

  7. Explain why the factory pollutes too much, and what the right remedy does.
    Show the full solution

    Because its cost calculation includes the 900,000 it would spend on treatment and excludes the 2,000,000 it imposes on 4,000 downstream households. Private cost is below social cost, so more discharge occurs than is efficient. A charge of 2,000,000 on the discharge makes the factory face the full cost, after which it will treat the waste whenever treatment costs less than that. The aim is a correct price, not a ban. Private cost omits the 2,000,000 imposed on others; a charge corrects the price

  8. Trace what information asymmetry does to the used car market.
    Show the full solution

    If a sound car is worth 9,000 and a failing one 3,000 and buyers cannot tell them apart, buyers who believe half are faulty will offer about 6,000. Owners of sound cars refuse that price and withdraw, which raises the proportion of bad cars remaining, so buyers rationally lower their offers again, driving out more good cars. The quality of what is traded collapses even though good cars exist and buyers want them. Buyers discount for hidden risk, good sellers withdraw, and quality spirals down

  9. How is the bus agreement different from the other three cases?
    Show the full solution

    The other three are failures of the market mechanism: a good it cannot fund, a cost it does not price, and information it cannot verify. The bus agreement is a suppression of a mechanism that was working. Competition is what delivers the falling prices and rising quality of lesson 2.3, and the two firms have agreed to abandon it. This is precisely what Smith predicted about people of the same trade meeting. The others are market failures; this is competition being deliberately suppressed

  10. State the general test to apply before proposing intervention.
    Show the full solution

    Name the specific failure. Is the good non-excludable, so that free riding prevents voluntary funding? Is a real cost falling on third parties outside the transaction? Is material information held by one side and unverifiable by the other? Has competition been suppressed by agreement or barrier? If none of those four applies, the case for intervention has not yet been made, and lesson 3.2 explains why proceeding anyway is costly. Identify which of the four failures is present, or the case is not made

Lesson 3.2 · Unit 3 · CA HSS 12.3.2

The factors that make government action cost more than it is worth

Identifying a market failure establishes that the market outcome is imperfect. It does not establish that intervention improves things, because intervention has costs of its own, and this standard asks specifically what they are.

The key ideas
  1. The relevant comparison is between an imperfect market and an imperfect government, not between a real market and an ideal policy.
  2. The information problem: setting a correct tax, subsidy or standard requires knowing costs and values that nobody has assembled.
  3. Deadweight loss from taxation: a tax discourages transactions that would have benefited both parties, and that lost value is destroyed rather than transferred.
  4. Compliance and administration costs fall on both the government and everyone who must file, record, inspect or verify.
  5. Unintended consequences arise because an intervention changes every behavior that affects the targeted quantity, as lesson 1.3 showed.
  6. Regulatory capture occurs when the regulated industry comes to influence its regulator, since the industry has concentrated interests and superior information.
  7. Rent seeking is expenditure on obtaining favorable treatment rather than on producing anything, and it is pure loss to the economy.
  8. Political incentives differ from efficiency incentives, because concentrated benefits organize and diffuse costs do not, which is the asymmetry of lesson 2.7 operating inside government.
  9. Persistence: programs outlive the conditions that justified them, because their beneficiaries defend them and nobody's job depends on ending them.

Where students lose marks: treating this as an argument against all government action. It is an argument for comparing two imperfect options instead of one real option against an ideal, and it applies in both directions.

Worked example

Constructed arithmetic. A tax intended to correct a genuine externality. Work out when it helps and when it does not.

The setup. An industry emits a pollutant. The true external cost is 30 per tonne of output. Output is 500,000 tonnes, so external harm is 15,000,000. A tax is proposed to correct it.

Step one: apply a perfectly set tax. A tax of exactly 30 makes producers face the true cost. Output falls to the level where the value of the last tonne equals its full social cost, say 380,000 tonnes. The remaining harm is priced rather than ignored, and the outcome is efficient.

Step two: introduce the information problem. Nobody actually knows that the external cost is 30. Estimates from different studies range from 8 to 62 depending on assumptions about health effects and the value placed on them. The regulator must pick a number from that range.

Step three: work out the cost of picking wrong high. A tax of 62 cuts output to perhaps 210,000 tonnes. Production worth more than its true social cost has been prevented, and if 170,000 tonnes each created 20 of net social value, the loss is 3,400,000.

Step four: work out the cost of picking wrong low. A tax of 8 barely moves output, leaving most of the 15,000,000 harm in place while still imposing collection and compliance costs. The policy has costs and almost no benefit.

Step five: add administration and compliance. Suppose monitoring emissions at 240 sites costs 2,100,000 a year in inspectors, laboratories and paperwork, plus 1,400,000 in firms' own compliance staff. That 3,500,000 is real resource use and it is incurred whether the tax rate is right or wrong.

Step six: add rent seeking. Firms spend on lobbying for exemptions, and lobbying is worth doing if it costs less than the tax avoided. If the industry spends 1,800,000 seeking exemptions, that money produced nothing at all: it moved an obligation rather than creating output.

Step seven: add capture and persistence. The regulator depends on the industry for data about its own emissions, and industry staff move into regulatory jobs and back. Over time exemptions accumulate. If the pollutant is later eliminated by a new process, the monitoring regime tends to continue, because 240 inspectors' jobs depend on it.

Step eight: state the conclusion in the form the standard asks. Government action costs more than it benefits when the regulator cannot determine the right level, when administration and compliance are large relative to the harm, when rent seeking absorbs resources, and when the program persists past its justification. None of those shows the externality was imaginary; they show that correcting it is itself an activity with costs.

Practice · 10 questions

Questions 1 to 5 are recall. Questions 6 to 10 ask for reasoning.

  1. What is the correct comparison when evaluating intervention?
    Show the full solution

    An imperfect market against an imperfect government, not a real market against an ideal policy

  2. Define deadweight loss.
    Show the full solution

    Value destroyed when a tax prevents transactions that would have benefited both parties

  3. Define regulatory capture.
    Show the full solution

    When the regulated industry comes to influence its own regulator

  4. Define rent seeking.
    Show the full solution

    Spending on obtaining favorable treatment rather than on producing anything

  5. Why do programs persist past their justification?
    Show the full solution

    Because beneficiaries defend them and nobody's job depends on ending them

  6. Explain the information problem using the tax example.
    Show the full solution

    A perfectly set tax of 30 per tonne would make producers face the true social cost and deliver an efficient outcome. But nobody knows the external cost is 30: estimates range from 8 to 62 depending on assumptions about health effects and how those effects are valued. The regulator must choose a number from that range without being able to verify it, so the policy's success depends on a quantity that cannot be observed. The correct tax depends on a figure nobody can actually determine

  7. Quantify the cost of setting the tax too high.
    Show the full solution

    A tax of 62 rather than 30 cuts output from about 380,000 tonnes to perhaps 210,000. The 170,000 tonnes prevented were worth more than their full social cost, so the prevention destroys value; if each carried 20 of net social benefit, the loss is 3,400,000. Overcorrecting an externality is not merely cautious, it imposes its own deadweight loss, which is why the direction of error matters as much as its existence. About 3,400,000 of value destroyed by preventing worthwhile production

  8. Why is setting the tax too low worse than doing nothing in some respects?
    Show the full solution

    Because a tax of 8 barely changes output, so most of the 15,000,000 in external harm remains, while the monitoring, inspection, laboratory and compliance apparatus is fully built and paid for. The economy bears roughly 3,500,000 a year in administration and compliance and buys almost no reduction in harm with it. A policy can therefore be worse than inaction by being too weak rather than too strong. Nearly all the harm remains while the full administrative cost is still paid

  9. Why is rent seeking a pure loss rather than a transfer?
    Show the full solution

    Because the 1,800,000 spent on lobbying for exemptions employs lawyers, analysts and advocates whose work produces no goods, no services and no output of any kind; it only shifts who bears an obligation. The obligation shifted is a transfer, but the resources consumed in shifting it are gone. Those people and that money could have produced something, and the existence of a valuable exemption to seek is what drew them away. It consumes real resources to move an obligation, producing nothing at all

  10. State what this lesson does and does not establish.
    Show the full solution

    It establishes that correcting a market failure is itself an activity with costs: information that cannot be obtained, deadweight loss, administration and compliance, rent seeking, capture and persistence past the justification. It does not establish that the externality was imaginary or that intervention is always wrong. The conclusion is that both options are imperfect and must be compared as they actually are, which cuts in both directions. Correcting failure has real costs, which argues for comparison rather than against action

Lesson 3.3 · Unit 3 · CA HSS 12.3.3

Taxation, borrowing and spending, and what each does

Fiscal policy is the government's use of its budget to influence the economy. The standard asks for its aims and its influence on production, employment and price levels, and those effects run in a chain that can be followed step by step.

The key ideas
  1. Fiscal policy is the use of government spending and taxation to influence the level of economic activity.
  2. Expansionary fiscal policy raises spending or cuts taxes to increase total demand, aiming to raise production and employment.
  3. Contractionary fiscal policy cuts spending or raises taxes to reduce total demand, aiming to slow price increases.
  4. The multiplier is the idea that one unit of government spending becomes someone's income, part of which is spent again, so total effect exceeds the initial amount.
  5. The multiplier depends on how much of each extra unit of income people spend, so it is larger when the marginal propensity to consume is high.
  6. Automatic stabilizers act without any decision: tax receipts fall and unemployment payments rise in a downturn, cushioning it automatically.
  7. Borrowing finances a deficit, and the accumulated deficits are the national debt.
  8. Crowding out is the concern that government borrowing raises interest rates and displaces private investment.
  9. Lags limit fiscal policy: recognizing a downturn, legislating a response and spending the money each take time, so the stimulus can arrive after the recovery.

Where students lose marks: describing the multiplier without saying what stops it. Each round is smaller because some income is saved, taxed or spent on imports, which is why the total converges rather than growing without limit.

Worked example

Constructed arithmetic. An invented economy in a downturn. Follow a stimulus through, then follow the objections.

The setup. Unemployment has risen to 9 per cent. The government spends 2,000,000,000 on road and bridge repair. Households spend 70 per cent of any additional income and save, pay tax on, or import the other 30 per cent.

Step one: trace round one. The 2,000,000,000 becomes income for construction firms and their workers. That is the first round, and it is spent into the economy immediately.

Step two: trace round two. Those recipients spend 70 per cent of it, which is 1,400,000,000, at shops, garages and restaurants. That becomes income for those businesses.

Step three: trace round three. Those recipients spend 70 per cent of 1,400,000,000, which is 980,000,000. Then 686,000,000, then 480,200,000, each round smaller than the last.

Step four: total it. The multiplier is 1 divided by the fraction not spent, which is 1 divided by 0.30, giving about 3.33. Total effect is 2,000,000,000 times 3.33, which is about 6,670,000,000.

Step five: explain why it converges. Each round leaks 30 per cent to saving, taxation and imports, so the rounds shrink geometrically. A multiplier is a finite sum, not perpetual motion, and the leakage is what makes it finite.

Step six: apply the first objection, crowding out. The 2,000,000,000 is borrowed, which means competing for savings. If that pushes interest rates up by half a point and private investment falls by 700,000,000 as a result, the net stimulus is 1,300,000,000 rather than 2,000,000,000, and the multiplied effect falls proportionally.

Step seven: apply the second objection, lags. Suppose recognizing the downturn takes six months, legislating takes seven, and the first bridge contract is let five months after that. Eighteen months have passed. If the recovery began at month twelve, the stimulus arrives into an economy already recovering and adds to price increases rather than to employment.

Step eight: state where automatic stabilizers do better. When incomes fell, tax receipts fell immediately and unemployment payments rose immediately, with no recognition lag, no legislative lag and no implementation lag. They are weaker per unit but they arrive on time, which is why they account for much of the cushioning in a real downturn.

Practice · 10 questions

Questions 1 to 5 are recall. Questions 6 to 10 ask for reasoning.

  1. Define fiscal policy.
    Show the full solution

    The use of government spending and taxation to influence economic activity

  2. What does expansionary fiscal policy do and aim at?
    Show the full solution

    Raises spending or cuts taxes, aiming to raise production and employment

  3. Give two examples of automatic stabilizers.
    Show the full solution

    Tax receipts falling in a downturn and unemployment payments rising

  4. Define crowding out.
    Show the full solution

    Government borrowing raising interest rates and displacing private investment

  5. Name the three lags affecting fiscal policy.
    Show the full solution

    Recognition, legislation and implementation

  6. Work through the multiplier round by round.
    Show the full solution

    The 2,000,000,000 becomes income for construction firms and workers. They spend 70 per cent, which is 1,400,000,000, at shops and restaurants. Those recipients spend 70 per cent of that, which is 980,000,000, then 686,000,000, then 480,200,000, each round smaller. The multiplier is 1 divided by the 0.30 not spent, which is about 3.33, so the total effect is roughly 6,670,000,000. Rounds of 2bn, 1.4bn, 980m and so on, totaling about 6,670,000,000

  7. Why does the multiplier converge rather than grow without limit?
    Show the full solution

    Because each round leaks 30 per cent of the money to saving, taxation and imports, none of which becomes domestic income in the next round. The rounds therefore shrink geometrically, and a geometric series with a ratio below one has a finite sum. A multiplier is arithmetic rather than perpetual motion, and the size of the leakage is exactly what determines how large it is: a higher propensity to save gives a smaller multiplier. Each round leaks 30 per cent, so the series shrinks geometrically to a finite sum

  8. Work through the crowding out objection.
    Show the full solution

    The 2,000,000,000 is borrowed, so the government competes with private borrowers for the available pool of savings, pushing interest rates up. If rates rise half a point and private investment consequently falls by 700,000,000, the net addition to demand is only 1,300,000,000, and the multiplied effect falls in the same proportion, from about 6,670,000,000 to roughly 4,330,000,000. The policy still works, but its size has been overstated. 700,000,000 of displaced private investment cuts the net stimulus by 35 per cent

  9. Work through the lag objection and state why it can reverse the policy's effect.
    Show the full solution

    Six months to recognize the downturn, seven to legislate and five to let the first contracts gives eighteen months. If the recovery actually began at month twelve, the money arrives into an economy that is already expanding. Adding demand to a recovering economy raises prices rather than employment, so a policy intended to stabilize ends up amplifying the cycle. The lag does not merely weaken the policy; it can invert it. Eighteen months of lag means stimulus can land on a recovery and raise prices instead

  10. Why do automatic stabilizers avoid that problem?
    Show the full solution

    Because they require no decision at any stage. When incomes fall, tax receipts fall in the same month and unemployment payments rise in the same month, so there is no recognition lag, no legislative debate and no implementation delay. They are weaker per unit of budget than a deliberate stimulus, and they are correctly timed by construction, which is why they do much of the cushioning in a real downturn. They require no decision, so all three lags disappear

Lesson 3.4 · Unit 3 · CA HSS 12.3.4

The aims and tools of monetary policy, and the Federal Reserve

Monetary policy works on the price and quantity of credit rather than on the government's budget. The standard names the Federal Reserve specifically, so this lesson takes its statutory purpose and its actual tools in turn.

The key ideas
  1. Monetary policy is the management of the money supply and interest rates to influence economic activity.
  2. The Federal Reserve is the central bank of the United States, created by the Federal Reserve Act of 1913.
  3. Its statutory mandate directs it to promote maximum employment, stable prices and moderate long-term interest rates.
  4. Banks create money through lending: a deposit is lent out, becomes another deposit, and is lent again, so the money supply is a multiple of the reserves underlying it.
  5. The reserve requirement sets the fraction of deposits a bank must hold rather than lend, which caps that multiple.
  6. Open market operations are purchases and sales of government securities that add reserves to or drain them from the banking system.
  7. The policy interest rate is the rate at which banks lend reserves to each other overnight, and the central bank steers it.
  8. Expansionary monetary policy lowers rates to encourage borrowing, investment and spending; contractionary policy raises them to slow price increases.
  9. Monetary policy acts faster than fiscal policy because no legislation is needed, and it still takes many months to affect prices and employment.

Where students lose marks: saying the central bank prints money. Its main instrument is buying and selling securities to change bank reserves, which changes how much banks can lend, which changes the money supply indirectly.

Worked example

The source. The Federal Reserve Act, as amended, United States Code, Title 12. A federal statute and therefore in the public domain.

The Board of Governors of the Federal Reserve System and the Federal Open Market Committee shall maintain long run growth of the monetary and credit aggregates commensurate with the economy's long run potential to increase production, so as to promote effectively the goals of maximum employment, stable prices, and moderate long-term interest rates.

Step one: note the tension inside the mandate. Maximum employment and stable prices can conflict, since policy that stimulates hiring can also raise prices. The statute directs the central bank to pursue both and does not say what to do when they pull apart, which is why its decisions are argued about.

Step two: build the money creation arithmetic. A bank receives a deposit of 100,000. The reserve requirement is 10 per cent, so it holds 10,000 and lends 90,000. That 90,000 is spent and deposited at another bank.

Step three: continue the chain. The second bank holds 9,000 and lends 81,000. The third holds 8,100 and lends 72,900. Deposits across the system now total 100,000 plus 90,000 plus 81,000 plus 72,900, and the series continues.

Step four: total it. The money multiplier is 1 divided by the reserve requirement, which is 1 divided by 0.10, or 10. The original 100,000 of reserves supports up to 1,000,000 of deposits. Banks created 900,000 of money by lending.

Step five: work an open market purchase. The central bank buys 50,000,000 of government securities from banks, paying by crediting their reserve accounts. Reserves rise by 50,000,000, which at a multiplier of 10 supports up to 500,000,000 in additional deposits and lending.

Step six: follow the effect on rates. With more reserves available, banks compete to lend them and the overnight rate falls. Lower short rates pull down rates on business loans, mortgages and car finance, so projects that were marginally unprofitable become worth doing.

Step seven: follow it to the real economy. More borrowing means more construction, more equipment purchases and more durable goods bought, which raises production and employment. If the economy is already near capacity, the same extra demand raises prices instead, which is the tension in step one made concrete.

Step eight: state the limits. Lower rates do not force anyone to borrow. In a severe downturn, firms facing no customers will not invest at any rate, and banks fearing default will not lend. The tool pushes on credit rather than on spending directly, which is why monetary policy is more reliable at slowing an economy than at starting one.

Practice · 10 questions

Questions 1 to 5 are recall. Questions 6 to 10 ask for reasoning.

  1. Define monetary policy.
    Show the full solution

    Management of the money supply and interest rates to influence economic activity

  2. State the Federal Reserve's three statutory goals.
    Show the full solution

    Maximum employment, stable prices, and moderate long-term interest rates

  3. What are open market operations?
    Show the full solution

    Purchases and sales of government securities that add or drain bank reserves

  4. What does the reserve requirement do?
    Show the full solution

    Sets the fraction of deposits a bank must hold rather than lend, capping the money multiplier

  5. What does expansionary monetary policy do to interest rates?
    Show the full solution

    Lowers them, to encourage borrowing, investment and spending

  6. Work through the money creation chain.
    Show the full solution

    A deposit of 100,000 with a 10 per cent reserve requirement means the bank holds 10,000 and lends 90,000. That 90,000 is spent and deposited elsewhere, so the second bank holds 9,000 and lends 81,000, the third holds 8,100 and lends 72,900, and so on. The money multiplier is 1 divided by 0.10, which is 10, so 100,000 of reserves supports up to 1,000,000 of deposits. Banks created 900,000 by lending. 100,000 of reserves supports 1,000,000 of deposits at a multiplier of 10

  7. Trace an open market purchase through to lending.
    Show the full solution

    The central bank buys 50,000,000 of government securities from banks and pays by crediting their reserve accounts, so system reserves rise by 50,000,000. At a multiplier of 10 that supports up to 500,000,000 in additional deposits and lending. With more reserves available than banks need, they compete to lend them out and the overnight rate falls, which pulls down rates on business loans, mortgages and car finance. 50,000,000 of reserves supports up to 500,000,000 of lending and pushes rates down

  8. Why is it wrong to say the central bank prints money?
    Show the full solution

    Because its principal instrument is buying and selling securities, which changes the reserves banks hold, which changes how much they are able to lend, which changes the money supply indirectly through the multiplier. Most of the money in the economy was created by commercial banks making loans, not by any printing press. The central bank sets the conditions under which that creation happens rather than performing it itself. It changes bank reserves; commercial bank lending creates most of the money

  9. Explain the tension inside the statutory mandate.
    Show the full solution

    Maximum employment and stable prices can pull in opposite directions. Policy that lowers rates to encourage hiring adds demand, and if the economy is near capacity that demand raises prices rather than output. The statute directs the Board to pursue both goals and gives no instruction about what to do when they conflict, so every decision in that situation involves a judgment the law does not supply, which is why the decisions are publicly argued about. The two goals conflict near capacity and the statute does not say which wins

  10. Why is monetary policy more reliable at slowing an economy than starting one?
    Show the full solution

    Because raising rates directly makes borrowing more expensive and nobody can avoid that, so investment and durable purchases fall. Lowering rates only makes borrowing cheaper; it cannot compel anyone to borrow. In a severe downturn, firms facing empty order books will not invest at any interest rate and banks fearing default will not lend, so the transmission from cheap credit to actual spending breaks down. Cheap credit cannot force borrowing, while dear credit genuinely prevents it

Unit 3 review · Government and the Economy · CA HSS 12.3

Ten questions across the whole unit

Questions 1 to 5 check that you hold the terms. Questions 6 to 10 require you to reason across several lessons at once.

  1. Define a public good.
    Show the full solution

    One that is non-rival and non-excludable

  2. Define a negative externality.
    Show the full solution

    A cost imposed on third parties who are not part of the transaction

  3. Define regulatory capture and rent seeking.
    Show the full solution

    An industry influencing its own regulator, and spending on obtaining favorable treatment rather than on producing

  4. Name the three lags affecting fiscal policy.
    Show the full solution

    Recognition, legislation and implementation

  5. State the Federal Reserve's three statutory goals.
    Show the full solution

    Maximum employment, stable prices, and moderate long-term interest rates

  6. Explain the free rider problem with the lighthouse figures.
    Show the full solution

    The lighthouse costs 400,000 and delivers 1,200,000 of benefit to 600 ships, so it is worth three times its cost. But the light shines on every ship whether or not its owner contributed, so each owner reasons that the others will fund it and it will be there anyway. Every owner reasons identically, voluntary contributions fall far short, and a good worth three times its cost is not built. Non-excludability makes everyone decline, so a good worth 1,200,000 goes unbuilt

  7. Why does identifying a market failure not settle the case for intervention?
    Show the full solution

    Because correcting it is itself an activity with costs. The regulator cannot determine the right tax level, since estimates of the external cost range from 8 to 62 and choosing wrong destroys value in either direction. Administration and compliance consume real resources whether or not the rate is right. Rent seeking absorbs more, capture erodes enforcement, and the program persists after its justification ends. The correction has its own information, administration, rent seeking and persistence costs

  8. Work through the fiscal multiplier and say what limits it.
    Show the full solution

    Spending 2,000,000,000 becomes income, 70 per cent of which is spent again, giving rounds of 1,400,000,000, then 980,000,000, then 686,000,000. The multiplier is 1 divided by the 0.30 not spent, which is about 3.33, for a total near 6,670,000,000. It converges because each round leaks 30 per cent to saving, taxation and imports, so the series shrinks geometrically to a finite sum. About 3.33 times the initial spending, limited by the 30 per cent leaking each round

  9. Why can a stimulus make things worse, and why do automatic stabilizers avoid that?
    Show the full solution

    Because of lags. Six months to recognize a downturn, seven to legislate and five to let contracts is eighteen months, so if recovery began at month twelve the money lands on an expanding economy and raises prices rather than employment, amplifying the cycle it was meant to damp. Automatic stabilizers need no decision at any stage: tax receipts fall and unemployment payments rise in the same month incomes do. Eighteen months of lag can invert a stimulus; stabilizers act with no lag at all

  10. Explain why monetary policy slows an economy more reliably than it starts one.
    Show the full solution

    Raising rates makes borrowing more expensive and nobody can avoid that, so investment and durable purchases genuinely fall. Lowering rates only makes borrowing cheaper and cannot compel anyone to borrow. In a severe downturn, firms with empty order books will not invest at any interest rate and banks fearing default will not lend, so the transmission from cheap credit to actual spending breaks down. Dear credit prevents borrowing; cheap credit cannot force it

Lesson 4.1 · Unit 4 · CA HSS 12.4.1

Unions, the minimum wage and unemployment insurance

Labor is bought and sold, so supply and demand apply. It is also unlike other goods in ways that matter, and the institutions in this lesson all exist because of those differences.

The key ideas
  1. Labor demand comes from employers and rises when the value of what a worker produces rises.
  2. Labor supply comes from workers and rises with the wage, since higher pay draws people in from other occupations and out of non-employment.
  3. Labor differs from other goods because the seller must be physically present, cannot be stored, and has limited ability to wait for a better offer.
  4. American unions arose during industrialization, when large employers faced many individually replaceable workers, and the law long treated combinations of workers as conspiracies.
  5. The Wagner Act of 1935 established the right to organize, bargain collectively and strike, and created a board to enforce it.
  6. Unions gain benefits through collective bargaining, the credible threat of a strike, grievance procedures and political action.
  7. Unionization raises members' wages and can reduce employment in the unionized sector, with the size of both effects disputed and varying by industry.
  8. The minimum wage is a price floor in the labor market, analyzed exactly as in lesson 2.6.
  9. Unemployment insurance pays a portion of lost wages temporarily, which supports consumption during a downturn and slightly lengthens job search.

Where students lose marks: asserting a confident number for the employment effect of the minimum wage. Studies disagree, and saying so with the reasons is a stronger answer than picking a side.

Worked example

The source. The National Labor Relations Act of 1935, United States Code, Title 29. A federal statute and therefore in the public domain.

The inequality of bargaining power between employees who do not possess full freedom of association or actual liberty of contract, and employers who are organized in the corporate or other forms of ownership association substantially burdens and affects the flow of commerce.

Employees shall have the right to self-organization, to form, join, or assist labor organizations, to bargain collectively through representatives of their own choosing, and to engage in other concerted activities for the purpose of collective bargaining or other mutual aid or protection.

Step one: identify the economic claim in the first passage. It asserts unequal bargaining power. A firm with 4,000 employees loses little if one leaves, while that one worker loses their entire income. The loss from failing to agree is asymmetric, and the party with less to lose gets better terms.

Step two: quantify the asymmetry. Suppose the employer's cost of replacing one worker is 6,000 in recruitment and training. The worker's cost of not being employed is 44,000 a year in lost wages. The employer can wait and the worker cannot.

Step three: work out what combination changes. If all 4,000 workers bargain together, the employer's cost of failing to agree becomes the loss of all production, perhaps 900,000 a week. Now both sides lose heavily from disagreement, which is what the Act means by freedom of association.

Step four: work the wage effect. Suppose the nonunion wage for this work is 21 an hour and the negotiated wage is 27. Members gain 6 an hour, which over 2,000 hours is 12,000 a year each.

Step five: work the employment effect. At 27 rather than 21, the employer finds some tasks worth automating or contracting out. If employment falls from 4,000 to 3,650, then 350 jobs are gone and 3,650 workers gain 12,000 each. The union has redistributed as well as gained.

Step six: apply the same analysis to a minimum wage. It is a floor, so the results of lesson 2.6 apply directly: those who keep their jobs gain, those who lose them or never get hired lose, and the size of the second group depends on how responsive employment is to the wage.

Step seven: explain why that responsiveness is disputed. Employers can respond by cutting hours, cutting other benefits, raising prices, accepting lower profit or reducing turnover costs, not only by cutting jobs. Different studies of different industries and different sized increases find different answers, and this is a genuine open question rather than a matter of ideology.

Step eight: analyze unemployment insurance both ways. Replacing perhaps half of lost wages for a limited period keeps consumption up during a downturn, which supports the businesses the unemployed buy from, and it lets a laid-off engineer search for engineering work rather than taking the first job available, which improves the match. It also slightly lengthens the average search, because the cost of one more week of looking is lower. Both effects are real and neither cancels the other.

Practice · 10 questions

Questions 1 to 5 are recall. Questions 6 to 10 ask for reasoning.

  1. Where does labor demand come from, and what raises it?
    Show the full solution

    From employers; it rises when the value of what a worker produces rises

  2. Name two ways labor differs from other goods.
    Show the full solution

    The seller must be physically present, it cannot be stored, and the seller has limited ability to wait

  3. What did the Wagner Act establish?
    Show the full solution

    The right to organize, bargain collectively and strike, with a board to enforce it

  4. Name three procedures unions use to gain benefits.
    Show the full solution

    Collective bargaining, the credible threat of a strike, grievance procedures, and political action

  5. What does unemployment insurance do?
    Show the full solution

    Pays a portion of lost wages temporarily to a worker who loses a job

  6. Explain and quantify the bargaining asymmetry the Act describes.
    Show the full solution

    A firm with 4,000 employees loses perhaps 6,000 in recruitment and training if one worker leaves, while that worker loses an entire income of 44,000 a year. The cost of failing to agree is therefore about seven times larger for the worker, so the worker must accept terms the employer can simply decline. Bargaining outcomes depend on who can afford to walk away, and individually the worker cannot. 6,000 of replacement cost against 44,000 of lost income, so the employer can wait

  7. How does combination change that arithmetic?
    Show the full solution

    If all 4,000 workers bargain as one, the employer's cost of failing to agree is no longer replacing a single worker but losing all production, perhaps 900,000 a week. Both sides now face heavy losses from disagreement, so neither can simply decline and wait. That symmetry is what the Act means by freedom of association, and it is why combination changes the terms reached rather than merely the volume of complaint. The employer now risks 900,000 a week, so both sides lose from disagreement

  8. Work out the wage and employment effects of the negotiated wage.
    Show the full solution

    Moving from a nonunion wage of 21 to a negotiated 27 gives each member 6 an hour, which over 2,000 hours is 12,000 a year. At the higher wage the employer finds some tasks worth automating or contracting out, and if employment falls from 4,000 to 3,650 then 350 jobs disappear while 3,650 workers gain 12,000 each. The union both raised pay and redistributed from those who lost jobs to those who kept them. 3,650 workers gain 12,000 each while 350 jobs are lost

  9. Why is the employment effect of a minimum wage genuinely disputed?
    Show the full solution

    Because cutting jobs is only one of several ways an employer can respond. They can also cut hours, reduce other benefits, raise prices, accept lower profit, or save on the recruitment and training costs that high turnover imposes, and which response dominates varies by industry, by local labor market and by the size of the increase. Studies of different settings therefore reach different answers, which makes this an open empirical question rather than an ideological one. Employers have several possible responses, so the effect varies by setting and size

  10. Give the two-sided analysis of unemployment insurance.
    Show the full solution

    It keeps consumption up during a downturn, which supports the businesses the unemployed buy from and cushions the wider economy, and it lets a laid-off engineer search for engineering work rather than taking the first available job, which produces a better match and higher productivity afterward. It also slightly lengthens average search time, since the cost of one more week of looking is lower. Both effects are real and neither cancels the other. It stabilizes consumption and improves job matching, while slightly lengthening search

Lesson 4.2 · Unit 4 · CA HSS 12.4.2

What the economy produces, what skills it needs, and what technology changes

The composition of employment has changed enormously, and the change is not random. Working out which jobs technology replaces and which it makes more valuable explains most of what has happened and gives a usable prediction.

The key ideas
  1. The sectors are primary, extracting raw materials; secondary, manufacturing; tertiary, services; and quaternary, information and research.
  2. Employment has shifted from primary and secondary toward tertiary and quaternary in every industrialized economy, largely because productivity rose fastest where output is easiest to measure and mechanize.
  3. Rising productivity in a sector reduces employment in it when demand for its output does not rise proportionally, which is why agriculture and manufacturing employ far fewer people while producing far more.
  4. Technology substitutes for routine tasks, meaning tasks that can be specified as a sequence of rules, whether manual or clerical.
  5. Technology complements non-routine tasks, raising the value of judgment, coordination, persuasion, caregiving and physical work in unpredictable settings.
  6. The unit of analysis is the task, not the job, since most occupations are bundles of tasks and technology takes some while leaving others.
  7. Polarization is the observed pattern of growth at the high-skill and low-skill ends of the wage distribution with weakness in the routine middle.
  8. International competition affects tradable work most, since a service that must be delivered in person cannot be performed abroad.

Where students lose marks: predicting which jobs disappear by how skilled they look. The question is whether the tasks are routine, and many apparently skilled clerical jobs are more routine than many apparently unskilled physical ones.

Worked example

Constructed data. Five invented occupations. Decompose each into tasks and predict what technology does to it.

OccupationRoutine share of tasksMust be done in person
Payroll clerk85%No
Assembly line operative80%Yes
Plumber25%Yes
Radiologist45%No
Nurse20%Yes

Step one: predict for the payroll clerk. Eighty-five per cent routine and not requiring presence. Software takes the calculation, the filing and the compliance checks, and what remains can be done anywhere. This occupation shrinks sharply, and it is the most educated of the five on average apart from the radiologist.

Step two: predict for the assembly operative. Eighty per cent routine, and presence is required. Automation takes the routine tasks even though presence is needed, because a machine can be present. Employment falls, and the remaining roles shift toward monitoring and maintaining the machines.

Step three: predict for the plumber. Twenty-five per cent routine and presence required. Every house is different, the fault must be diagnosed on the spot, and the work happens in confined and unpredictable spaces. Neither automation nor offshoring reaches it, so this occupation is stable or grows.

Step four: state the result that surprises people. The plumber is more protected than the payroll clerk, and the payroll clerk typically has more formal education. Vulnerability tracks the routineness of the tasks and not the prestige or qualification level of the occupation.

Step five: predict for the radiologist. Forty-five per cent routine and no presence required, so image analysis software takes a substantial share of the work and the images can be read anywhere. The occupation does not disappear, because the non-routine forty-five per cent includes judgment on ambiguous cases and discussion with other clinicians, but the composition of the job changes.

Step six: predict for the nurse. Twenty per cent routine and presence essential. Technology complements rather than replaces: better monitoring equipment makes a nurse more effective rather than unnecessary. Employment grows, and this is a job requiring substantial skill of a kind machines do not have.

Step seven: assemble the polarization result. The middle of the wage distribution, which is where routine clerical and routine production work sits, hollows out. High-skill non-routine work grows and low-paid in-person service work grows. That is the observed pattern and it follows from the task analysis.

Step eight: state the usable prediction. To assess any occupation, ask what share of its tasks could be written down as a complete set of rules, and whether it must be performed in the presence of the customer. High routineness plus no presence is the most exposed combination; low routineness plus required presence is the most protected.

Practice · 10 questions

Questions 1 to 5 are recall. Questions 6 to 10 ask for reasoning.

  1. Name the four sectors.
    Show the full solution

    Primary, secondary, tertiary and quaternary

  2. Define a routine task.
    Show the full solution

    One that can be specified as a complete sequence of rules

  3. What kinds of task does technology complement?
    Show the full solution

    Non-routine ones: judgment, coordination, persuasion, caregiving, and physical work in unpredictable settings

  4. Define polarization.
    Show the full solution

    Growth at the high-skill and low-skill ends of the wage distribution with weakness in the routine middle

  5. What kind of work does international competition affect most?
    Show the full solution

    Tradable work, since a service delivered in person cannot be performed abroad

  6. Why does rising productivity reduce employment in a sector?
    Show the full solution

    Because if each worker produces far more and demand for the output does not rise proportionally, fewer workers are needed to satisfy it. People do not eat ten times more food when farm productivity rises tenfold, so agricultural employment collapses while agricultural output grows. The same applies to manufacturing. Employment in a sector depends on output demanded divided by output per worker, and the denominator has grown faster. Output per worker rose faster than demand for the output, so fewer workers are needed

  7. Compare the payroll clerk and the plumber, and explain what that shows.
    Show the full solution

    The payroll clerk's work is 85 per cent routine and requires no presence, so software takes the calculation and compliance checks and the remainder can be done anywhere: the occupation shrinks sharply. The plumber's work is 25 per cent routine and must be done on site in unpredictable conditions, so neither automation nor offshoring reaches it. The clerk usually has more formal education, which shows vulnerability tracks task routineness rather than qualification. The less-credentialed plumber is far safer, because routineness not prestige determines exposure

  8. Why is the task the right unit of analysis rather than the job?
    Show the full solution

    Because almost every occupation is a bundle of different tasks, and technology takes some while leaving others. The radiologist is 45 per cent routine, so image analysis software takes a substantial share of the work without eliminating the occupation, since judgment on ambiguous cases and discussion with other clinicians remain. Predicting at the level of whole jobs produces false binaries; predicting at the level of tasks explains how jobs change composition. Jobs are bundles of tasks, so technology changes their composition rather than removing them

  9. Explain how polarization follows from the task analysis.
    Show the full solution

    Routine tasks concentrate in the middle of the wage distribution, in clerical work and in production work, and those are exactly what technology substitutes for. The high end is non-routine analytical and managerial work, which technology complements and therefore makes more valuable. The low end is in-person service work, which is non-routine and must be delivered physically, so it is also protected. Both ends grow and the middle hollows out. Routine work sits in the middle, and that is precisely what technology replaces

  10. State the two questions to ask about any occupation.
    Show the full solution

    What share of its tasks could be written down as a complete set of rules, and whether it must be performed in the physical presence of the customer. High routineness combined with no need for presence is the most exposed position, since both automation and offshoring apply. Low routineness combined with required presence is the most protected, since neither does. Those two questions predict better than any judgment about skill level or prestige. How routine are the tasks, and must the work be done in person

Lesson 4.3 · Unit 4 · CA HSS 12.4.3

Demand, supply and productivity across jobs and professions

Wage differences are often explained by how hard or how important a job is, and neither explanation works. The standard asks for the supply and demand account plus productivity, and that account does work.

The key ideas
  1. A wage is a price, set where the demand for a kind of labor meets its supply.
  2. Demand for labor derives from demand for the output, so it depends on what the worker produces and what that output sells for.
  3. Marginal revenue product is the extra revenue one more worker generates, and it is the maximum an employer will pay.
  4. Productivity raises wages by raising marginal revenue product, which is why the same work pays more with better equipment and organization.
  5. Supply depends on how many people can do the work, which depends on talent, on training time and cost, and on licensing or other barriers.
  6. Scarce supply plus strong demand produces high wages, and either alone does not.
  7. Compensating differentials raise pay for work that is dangerous, unpleasant, isolated or badly timed, because supply is lower at any given wage.
  8. Importance to society does not set wages, since many essential occupations have large supply and many inessential ones have tiny supply.
  9. Discrimination, information and bargaining power also affect wages, so the supply and demand account is the framework rather than the whole story.

Where students lose marks: explaining a high wage by demand alone. Demand and supply both matter, and the most common real explanation for a very high wage is a very restricted supply.

Worked example

Constructed comparison. Four invented occupations with the same measured effort and difficulty, and four very different wages. Explain each gap.

OccupationAnnual wagePeople able to do itEmployers' need
Childcare worker29,000Very manyVery high
Heavy truck driver, remote routes71,000ManyHigh
Anesthesiologist310,000Very fewHigh
Concert violinist, top tier240,000Extremely fewLow

Step one: explain childcare. Employers' need is very high, since the work is essential and demanded everywhere. Supply is also very large, because the training required is modest and many people are capable of it. Large supply meeting high demand produces a low wage, which is why importance does not predict pay.

Step two: state that clearly. If importance set wages, childcare would be among the best paid work there is. It is not, and no account based on merit or social value can explain that. Supply can.

Step three: explain the truck driver. The skill itself is not rare. What restricts supply is the conditions: weeks away from home, irregular sleep, and isolation. Fewer people will accept those terms at any given wage, so the wage must rise to fill the posts. That is a compensating differential.

Step four: explain the anesthesiologist. Demand is high and supply is severely restricted by thirteen years of training, the cost of that training, the limited number of training places, and licensing. Restricted supply plus high demand is the standard recipe for a very high wage.

Step five: separate the two causes of that restriction. Some of it is real: the training genuinely takes that long and few people can complete it. Some of it is institutional: the number of training places is set by decision rather than by demand, and raising it would lower the wage. Both are supply restrictions and they are not equivalent.

Step six: explain the violinist. Demand is low, since few employers want one, yet the wage is very high because supply is almost nonexistent. This is the case that disproves any demand-only account: a small demand meeting a smaller supply still yields a high price.

Step seven: work the productivity effect. Suppose the truck driver moves from a vehicle carrying 18 tonnes to one carrying 30. Marginal revenue product rises by two thirds, so an employer can pay more and competing employers must. The driver's effort has not changed; what the effort produces has.

Step eight: state the framework's limits. Supply and demand explain the pattern, and they do not explain everything. Two workers of identical productivity can be paid differently through discrimination, through one not knowing what the other is paid, or through differences in bargaining position. A complete answer uses the framework and names those additions.

Practice · 10 questions

Questions 1 to 5 are recall. Questions 6 to 10 ask for reasoning.

  1. Define marginal revenue product.
    Show the full solution

    The extra revenue one more worker generates, which is the maximum an employer will pay

  2. What does labor demand derive from?
    Show the full solution

    Demand for the output the worker produces

  3. Name three things that restrict labor supply.
    Show the full solution

    Rare talent, long or costly training, and licensing or other barriers

  4. Define a compensating differential.
    Show the full solution

    Extra pay for work that is dangerous, unpleasant, isolated or badly timed

  5. Name three factors beyond supply and demand that affect wages.
    Show the full solution

    Discrimination, incomplete information about pay, and differences in bargaining power

  6. Explain why childcare pays little despite being essential.
    Show the full solution

    Because employers' need being very high sets only one side of the market. The supply of people able to do the work is also very large, since the required training is modest and a great many people are capable of it, so employers can fill posts without raising pay. A large supply meeting a high demand produces a low price, exactly as it would for any good. Importance affects demand and has no effect on supply. High demand meets very large supply, and supply sets the price down

  7. What does the childcare case prove about merit-based explanations of pay?
    Show the full solution

    That they fail. If wages tracked importance to society, childcare would be among the best paid work there is, since almost nothing matters more and the demand is universal. It is among the worst paid. No account based on social value, moral desert or effort can explain that outcome, whereas the supply and demand account explains it in one sentence. This is why economists use the framework despite its coldness. An essential occupation is poorly paid, which no merit account can explain

  8. Distinguish the two causes of restricted supply for the anesthesiologist.
    Show the full solution

    Part is genuine: the training really does take about thirteen years, it really is difficult, and relatively few people can complete it, so supply would be limited under any arrangement. Part is institutional: the number of training places is set by decision rather than by demand, and increasing it would raise supply and lower the wage. Both restrict supply and produce a high wage, but only the second could be changed by policy. Genuine difficulty of training, and a deliberately limited number of training places

  9. Why does the violinist disprove a demand-only account of wages?
    Show the full solution

    Because demand is low, since very few employers anywhere want a top-tier concert soloist, and yet the wage is 240,000. If wages were set by how much employers wanted the work, this occupation should pay very little. Supply is almost nonexistent, and that alone produces the high price. A small demand meeting an even smaller supply yields a high wage, which demonstrates that both blades of the scissors are needed. Low demand still yields a high wage because supply is nearly nonexistent

  10. Work through how productivity raises a wage without changing effort.
    Show the full solution

    If a driver moves from a vehicle carrying 18 tonnes to one carrying 30, each hour of driving now delivers two thirds more freight, so the revenue that driver generates rises by two thirds. Marginal revenue product is the ceiling on what an employer will pay, so the ceiling rises, and competing employers who also have larger vehicles must bid up to keep drivers. The effort is identical; what the effort produces has changed. Marginal revenue product rises by two thirds, raising what employers will bid

Lesson 4.4 · Unit 4 · CA HSS 12.4.4

What international mobility of capital and labor does

Capital and labor both move across borders, and both move for the same reason: toward wherever they earn more. Following the consequences of each movement explains a great deal of what is argued about in economic policy.

The key ideas
  1. Capital mobility is the movement of investment funds and productive assets across borders in search of higher return.
  2. Labor mobility is the movement of workers across borders in search of higher wages or better conditions.
  3. Capital moves far more easily than labor, because money crosses borders instantly and legally while people face visas, language, licensing and family ties.
  4. Inward capital raises productivity and wages by giving domestic workers more and better equipment to work with.
  5. Outward capital can reduce domestic employment in the industries that relocate, which is the distributional effect of lesson 2.7.
  6. Immigration raises total output and its effect on native wages depends on whether immigrants substitute for or complement existing workers.
  7. Substitutes compete down wages in that occupation; complements raise them, so the effect differs across the wage distribution.
  8. Remittances are earnings sent home by workers abroad, and they are a major flow of income to lower income countries.
  9. The asymmetry in mobility shifts bargaining power, since a factor that can leave negotiates better than one that cannot.

Where students lose marks: answering the immigration question with a single number. The effect varies by occupation, and the right analysis asks which workers the arrivals substitute for and which they complement.

Worked example

Two constructed cases. One for capital, one for labor, each worked through to who gains and who loses.

Case one: inward capital. A foreign firm invests 600,000,000 in a new plant in an invented region. It hires 2,400 workers. Before the plant, comparable work in the region paid 34,000; the plant pays 41,000 because its equipment makes each worker more productive.

Step one: identify the direct gain. 2,400 workers gain 7,000 each, which is 16,800,000 a year. The gain comes from higher productivity rather than from generosity: the equipment raises marginal revenue product, which raises what the employer can pay.

Step two: identify the indirect gain. Other local employers now compete against a 41,000 wage, so they must raise pay or lose staff. Workers who never set foot in the new plant benefit, which is how inward capital raises wages beyond its own payroll.

Step three: identify who loses. Existing local firms face higher wage costs and some become unprofitable. Firms competing with the new plant's output lose market share. The gain is real and it is not universal.

Case two: outward capital. The same firm later moves 900 of those jobs to a lower wage country, where the work pays 9,000.

Step four: follow both countries. In the receiving country, 900 workers gain employment at wages above their local alternatives, and capital there becomes more productive. In the sending region, 900 workers lose 41,000 jobs and the consumers of the product gain from lower prices.

Step five: state the asymmetry that makes this contested. The capital moved in a week. The 900 workers cannot follow it, because of visas, language, licensing, housing and family. One factor is mobile and the other is not, which is why the losses are geographically stuck.

Case three: inward labor. 30,000 workers arrive in the region. 20,000 have construction skills and 10,000 are engineers. The existing workforce has 60,000 construction workers and 4,000 engineers.

Step six: work out the effect on construction wages. The arrivals substitute directly for existing construction workers, raising supply in that occupation by a third. Wages there fall, or rise more slowly than they would have.

Step seven: work out the effect on engineers and others. Ten thousand engineers added to 4,000 is a large increase in that occupation, so engineering wages face the same pressure. But engineers and construction workers complement each other: more engineers means more projects designed, which raises demand for construction labor. The two effects run in opposite directions.

Step eight: state the correct form of the answer. Total output rises, because 30,000 more people are producing. Consumers gain from lower construction costs. Existing construction workers face wage pressure, while workers in occupations that complement the arrivals gain. Whether any particular worker gains depends on whether the arrivals do their job or work alongside it, and answering with one number for the whole economy hides the entire question.

Practice · 10 questions

Questions 1 to 5 are recall. Questions 6 to 10 ask for reasoning.

  1. Define capital mobility and labor mobility.
    Show the full solution

    The movement of investment funds and productive assets, and of workers, across borders toward higher returns

  2. Why does capital move more easily than labor?
    Show the full solution

    Money crosses borders instantly and legally, while people face visas, language, licensing and family ties

  3. How does inward capital raise wages?
    Show the full solution

    By giving workers more and better equipment, which raises their productivity

  4. Define remittances.
    Show the full solution

    Earnings sent home by workers employed abroad

  5. What determines immigration's effect on a particular worker's wage?
    Show the full solution

    Whether the arrivals substitute for that worker or complement them

  6. Work through both gains from the inward investment.
    Show the full solution

    Directly, 2,400 workers gain 7,000 each as pay rises from 34,000 to 41,000, which is 16,800,000 a year, and the gain comes from the plant's equipment raising their marginal revenue product rather than from generosity. Indirectly, other local employers must now compete against a 41,000 wage or lose staff, so they raise pay too. Workers who never enter the new plant therefore benefit, which is how inward capital lifts wages beyond its own payroll. 16,800,000 directly, plus raised pay at every competing local employer

  7. Who loses from inward investment?
    Show the full solution

    Existing local employers, who now face higher wage costs because they must match or approach the new plant's pay, and some of whom become unprofitable and close. Firms producing goods that compete with the new plant's output also lose market share. The net effect on the region is positive, but stating it as a universal gain is inaccurate, and the firms that close are as real as the workers who gain 7,000 each. Existing employers facing higher wage costs and competing firms losing share

  8. Why is the outward move so contested when both countries gain something?
    Show the full solution

    Because of the mobility asymmetry. The capital relocated in a week, while the 900 workers who lost 41,000 jobs cannot follow it, being held by visas, language, licensing, housing and family. The gains are spread across consumers everywhere and across workers in the receiving country, while the losses are concentrated on 900 identifiable people who are geographically stuck. One factor moves freely and the other does not. Capital moves in a week and the displaced workers cannot follow it

  9. Work out the two opposing effects on construction wages from the arrivals.
    Show the full solution

    The 20,000 arriving construction workers substitute directly for the existing 60,000, raising supply in that occupation by a third, which pushes wages down or slows their growth. At the same time the 10,000 arriving engineers complement construction labor: more engineers means more projects designed and specified, which raises demand for construction workers. The two effects run in opposite directions and the net outcome depends on their relative size. Substitution by 20,000 pushes wages down while complementary engineers pull demand up

  10. State the correct form of an answer about immigration's economic effects.
    Show the full solution

    Total output rises because more people are producing, and consumers gain from lower costs in the affected industries. Beyond that the answer must be disaggregated: workers whose jobs the arrivals can do face wage pressure, while workers in occupations that complement the arrivals gain. A single number for the whole economy averages two opposite effects together and therefore conceals precisely the question being asked. Output and consumers gain; individual workers gain or lose by substitution against complementarity

Unit 4 review · The Labor Market · CA HSS 12.4

Ten questions across the whole unit

Questions 1 to 5 check that you hold the terms. Questions 6 to 10 require you to reason across several lessons at once.

  1. What did the Wagner Act establish?
    Show the full solution

    The right to organize, bargain collectively and strike, with a board to enforce it

  2. Define marginal revenue product.
    Show the full solution

    The extra revenue one more worker generates, which is the maximum an employer will pay

  3. Define a routine task.
    Show the full solution

    One that can be specified as a complete sequence of rules

  4. Define a compensating differential.
    Show the full solution

    Extra pay for work that is dangerous, unpleasant, isolated or badly timed

  5. Define polarization.
    Show the full solution

    Growth at the high-skill and low-skill ends of the wage distribution with weakness in the routine middle

  6. Explain the bargaining asymmetry that unions address.
    Show the full solution

    A firm with 4,000 employees loses perhaps 6,000 in recruitment and training if one worker leaves, while that worker loses an entire income of 44,000 a year, so the cost of disagreement is about seven times larger for the worker and the employer can simply wait. If all 4,000 bargain together, the employer's cost of failing to agree becomes the loss of all production, perhaps 900,000 a week, and both sides now lose heavily. Individually the worker risks 44,000 against the firm's 6,000; collectively the firm risks everything

  7. Why does vulnerability to technology not track how skilled a job looks?
    Show the full solution

    Because what matters is what share of the tasks could be written down as a complete set of rules, and whether the work must be done in the customer's presence. A payroll clerk is 85 per cent routine and needs no presence, so the job shrinks sharply. A plumber is 25 per cent routine and must diagnose faults on site in unpredictable conditions, so neither automation nor offshoring reaches it, despite having less formal education. Routineness and required presence predict exposure, not qualification or prestige

  8. Why does childcare pay little despite being essential?
    Show the full solution

    Because importance affects only demand, and the supply of people able to do the work is also very large, since the required training is modest and many people are capable of it. Employers can fill posts without raising pay. A large supply meeting a high demand gives a low price, exactly as for any good. The case refutes merit-based accounts of pay, which would predict childcare being among the best paid work there is. High demand meets very large supply, and no merit account can explain the result

  9. Why does the violinist's wage disprove a demand-only account?
    Show the full solution

    Because demand is low, since very few employers anywhere want a top-tier concert soloist, and yet the wage is 240,000. If wages were set by how badly employers wanted the work, this occupation should pay very little. Supply is almost nonexistent, and that alone produces the high price. A small demand meeting an even smaller supply still yields a high wage, so both blades of the scissors are required. Low demand still yields a high wage when supply is nearly nonexistent

  10. Give the correct form of an answer about immigration's wage effects.
    Show the full solution

    Total output rises because more people are producing, and consumers gain from lower costs. Beyond that the answer must be disaggregated. Twenty thousand arriving construction workers substitute for 60,000 existing ones, raising supply by a third and pushing those wages down, while 10,000 arriving engineers complement construction labor by designing more projects, which pulls that demand up. A single number averages opposite effects. Output rises; individual workers gain or lose depending on substitution against complementarity

Lesson 5.1 · Unit 5 · CA HSS 12.5.1

Why the distinction between nominal and real decides the answer

Every economic figure measured in money can be stated two ways, and the two often point in opposite directions. Knowing which one a number is, and how to convert between them, is the most immediately useful skill in this unit.

The key ideas
  1. A nominal figure is measured in the prices of the year it occurred, so it mixes changes in quantity with changes in price.
  2. A real figure is adjusted for price changes, so it measures quantity alone and can be compared across years.
  3. A price index tracks the cost of a fixed basket of goods over time, with one year set as the base at 100.
  4. To convert nominal to real, divide the nominal figure by the price index and multiply by 100.
  5. Real values must always name their base year, since the same real quantity takes different numbers in different base years.
  6. A nominal wage rise is a real wage cut whenever prices rose faster than the wage did.
  7. The real interest rate is approximately the nominal rate minus the inflation rate, and it is what a lender actually earns.
  8. Inflation redistributes between borrowers and lenders, because unexpected inflation repays debts in money worth less than was borrowed.

Where students lose marks: comparing two nominal figures across a long period. A figure from thirty years ago is measured in different money, so the comparison is meaningless until it is adjusted.

Worked example

Constructed data. An invented economy over six years. Convert every nominal figure to real and see how many conclusions reverse.

YearPrice indexAverage nominal wageNominal GDP (bn)
110038,000820
210439,200866
311141,000918
412043,400972
512646,3001,046
612948,1001,102

Step one: read the nominal wage story. Pay rose from 38,000 to 48,100, which is an increase of 26.6 per cent over five years. That looks like substantial improvement.

Step two: convert year 6 to year 1 prices. Divide 48,100 by 129 and multiply by 100, which gives 37,287. The real wage in year 6 is below the year 1 wage of 38,000.

Step three: state the reversal. A 26.6 per cent nominal rise is a 1.9 per cent real fall. Workers were worse off at the end of the period despite every year's pay packet being larger than the last, which is why the distinction is not a technicality.

Step four: find the worst and best years. Year 3 real wage is 41,000 divided by 111 times 100, which is 36,937. Year 4 is 43,400 divided by 120 times 100, which is 36,167. Year 5 is 46,300 divided by 126 times 100, which is 36,746. Real pay fell from year 1 to year 4 and then partially recovered.

Step five: do the same for GDP. Year 1 real GDP is 820. Year 6 is 1,102 divided by 129 times 100, which is 854. Nominal GDP grew 34.4 per cent; real GDP grew 4.1 per cent over five years, which is under 1 per cent a year.

Step six: state what that means. Most of the apparent growth was prices rather than output. An economy reporting 34 per cent nominal growth while producing 4 per cent more goods is not growing in any sense that matters to anyone's living standard.

Step seven: work a real interest rate. Suppose a lender charges 9 per cent in year 3, when prices rose 6.7 per cent from year 2 to year 3. The real return is approximately 9 minus 6.7, which is 2.3 per cent. The lender's money grew by 9 per cent and bought only 2.3 per cent more.

Step eight: follow the redistribution. Someone who borrowed 200,000 in year 1 and repays 200,000 in year 6 repays money worth, in year 1 terms, 200,000 divided by 129 times 100, which is 155,039. The borrower gained about 45,000 of purchasing power and the lender lost it, purely from inflation. That is why unexpected inflation transfers wealth from lenders to borrowers.

Practice · 10 questions

Questions 1 to 5 are recall. Questions 6 to 10 ask for reasoning.

  1. Distinguish a nominal from a real figure.
    Show the full solution

    Nominal is measured in the prices of its own year; real is adjusted for price changes

  2. What is a price index?
    Show the full solution

    A measure of the cost of a fixed basket of goods over time, with a base year set at 100

  3. How do you convert nominal to real?
    Show the full solution

    Divide by the price index and multiply by 100

  4. How is the real interest rate approximated?
    Show the full solution

    The nominal interest rate minus the inflation rate

  5. Who gains from unexpected inflation?
    Show the full solution

    Borrowers, who repay in money worth less than they borrowed

  6. Convert the year 6 wage and state what it shows.
    Show the full solution

    The year 6 nominal wage of 48,100 divided by the price index of 129 and multiplied by 100 gives 37,287 in year 1 prices, which is below the year 1 wage of 38,000. So a nominal increase of 26.6 per cent over five years is actually a real fall of about 1.9 per cent. Workers ended the period worse off despite every year's pay packet being larger than the one before it. 37,287 in year 1 prices: a 26.6 per cent nominal rise is a 1.9 per cent real fall

  7. Trace the real wage across the six years.
    Show the full solution

    Year 1 is 38,000. Year 3 is 41,000 divided by 111 times 100, which is 36,937. Year 4 is 43,400 divided by 120 times 100, which is 36,167, the lowest point. Year 5 is 46,300 divided by 126 times 100, which is 36,746, and year 6 is 37,287. Real pay therefore fell steadily to a trough in year 4 and then partially recovered without regaining the year 1 level. A fall to a trough of 36,167 in year 4, then partial recovery to 37,287

  8. Compare nominal and real GDP growth and state the significance.
    Show the full solution

    Nominal GDP rose from 820 to 1,102, an increase of 34.4 per cent. Real GDP in year 6 is 1,102 divided by 129 times 100, which is 854, so real growth was 4.1 per cent over five years, under 1 per cent a year. Almost all the reported growth was price increases rather than additional output, so the economy produced barely more at the end than at the beginning. 34.4 per cent nominal against 4.1 per cent real, so most growth was prices

  9. Work out the real return to a lender charging 9 per cent in year 3.
    Show the full solution

    Prices rose from 104 to 111 between years 2 and 3, which is an increase of 6.7 per cent. The real return is approximately the nominal 9 per cent minus that 6.7 per cent, which is 2.3 per cent. The lender's money grew by 9 per cent and bought only 2.3 per cent more goods than before, so nearly three quarters of the apparent return was simply keeping pace with prices. About 2.3 per cent real, since 6.7 of the 9 points was inflation

  10. Quantify the redistribution from a five year loan.
    Show the full solution

    Someone who borrowed 200,000 in year 1 and repays 200,000 in year 6 is repaying money worth, in year 1 purchasing power, 200,000 divided by 129 times 100, which is 155,039. The borrower has handed back about 45,000 less real value than they received, and the lender has lost exactly that. Neither party did anything; inflation alone transferred the wealth, which is why unexpected inflation favors borrowers. The borrower repays only 155,039 of real value, gaining about 45,000 from the lender

Lesson 5.2 · Unit 5 · CA HSS 12.5.2

Calculating the three headline rates, and what each figure hides

The standard asks you to define, calculate and explain the significance of the unemployment rate, new jobs created monthly, the inflation rate and the growth rate. Each is a specific arithmetic operation on a specific definition, and each definition excludes something important.

The key ideas
  1. The labor force is people who are employed plus people who are unemployed, where unemployed means without work, available for work, and actively looking for it.
  2. The unemployment rate is the unemployed divided by the labor force, times 100, and people who are not looking are in neither term.
  3. Discouraged workers have stopped looking because they believe no work is available, so they leave the labor force and the unemployment rate falls.
  4. Underemployment covers people working part time who want full time work, and people whose jobs use far less skill than they have; neither appears in the unemployment rate.
  5. Net new jobs each month is jobs created minus jobs lost, and a growing population means a positive figure can still leave more people without work.
  6. The inflation rate is the percentage change in a price index from one period to the next.
  7. Deflation is a falling price level, and it is dangerous because it raises the real value of debts and encourages buyers to wait.
  8. The growth rate is the percentage change in real GDP, and per capita growth subtracts population growth from it.
  9. Every one of these figures is a construct whose value depends on definitional choices, which is why the definition must be stated alongside the number.

Where students lose marks: forgetting that leaving the labor force lowers the unemployment rate. A falling rate can mean more people working or more people giving up, and the two require opposite responses.

Worked example

Constructed data. An invented economy across two years. Compute every rate and then show what each one conceals.

MeasureYear 1Year 2
Population aged 16 and over10,000,00010,150,000
Employed5,800,0005,860,000
Unemployed and looking520,000430,000
Not in labor force3,680,0003,860,000
Part time wanting full time310,000395,000
Price index138.0142.8
Real GDP (bn)945963

Step one: compute year 1 unemployment. The labor force is 5,800,000 plus 520,000, which is 6,320,000. The rate is 520,000 divided by 6,320,000 times 100, which is 8.2 per cent.

Step two: compute year 2 unemployment. The labor force is 5,860,000 plus 430,000, which is 6,290,000. The rate is 430,000 divided by 6,290,000 times 100, which is 6.8 per cent. The headline is a fall of 1.4 points, which sounds like a good year.

Step three: look at what moved. Employment rose by only 60,000 while the number not in the labor force rose by 180,000. Of the 90,000 fewer unemployed, only 60,000 found work, and the labor force actually shrank despite the population growing by 150,000.

Step four: recompute counting the discouraged. If those 180,000 additional non-participants are added back as unemployed, the labor force becomes 6,470,000 and the unemployed 610,000, giving 9.4 per cent. The same year is a fall to 6.8 per cent or a rise to 9.4 depending on the definition used.

Step five: add underemployment. Part time workers wanting full time work rose from 310,000 to 395,000. Adding those to the broader measure gives 1,005,000 out of 6,470,000, which is 15.5 per cent. All three figures describe the same economy.

Step six: check the jobs figure against population. 60,000 net new jobs were created while the working age population grew by 150,000. Even with employment rising, 90,000 more people are without work than the new jobs absorbed, which is why a positive jobs number is not automatically good news.

Step seven: compute inflation. The index rose from 138.0 to 142.8, an increase of 4.8 points. As a percentage that is 4.8 divided by 138.0 times 100, which is 3.5 per cent. The inflation rate is computed on the previous level, not on the base year.

Step eight: compute growth and per capita growth. Real GDP rose from 945 to 963, which is 18 divided by 945 times 100, or 1.9 per cent. Population grew 1.5 per cent, so per capita real growth is about 0.4 per cent. Output per person barely moved, which is the figure that corresponds to living standards.

Practice · 10 questions

Questions 1 to 5 are recall. Questions 6 to 10 ask for reasoning.

  1. Define the labor force.
    Show the full solution

    Employed people plus people without work who are available and actively looking

  2. How is the unemployment rate calculated?
    Show the full solution

    Unemployed divided by the labor force, times 100

  3. Define a discouraged worker.
    Show the full solution

    Someone who has stopped looking because they believe no work is available

  4. How is the inflation rate calculated?
    Show the full solution

    The percentage change in a price index from one period to the next

  5. Why is deflation dangerous?
    Show the full solution

    It raises the real value of debts and encourages buyers to wait

  6. Compute both years' unemployment rates and then explain the fall.
    Show the full solution

    Year 1's labor force is 5,800,000 plus 520,000, which is 6,320,000, giving a rate of 8.2 per cent. Year 2's is 5,860,000 plus 430,000, which is 6,290,000, giving 6.8 per cent. But employment rose by only 60,000 while those outside the labor force rose by 180,000, so of the 90,000 fewer unemployed only 60,000 found work. The labor force shrank even though the population grew by 150,000. 8.2 falling to 6.8 per cent, mostly because people stopped looking

  7. Recompute the rate on a broader definition and state the implication.
    Show the full solution

    Adding the 180,000 extra non-participants back as unemployed gives a labor force of 6,470,000 and 610,000 unemployed, which is 9.4 per cent. Adding the 395,000 part time workers who want full time work gives 1,005,000 out of 6,470,000, which is 15.5 per cent. The same economy in the same year measures 6.8, 9.4 or 15.5 per cent, so the definition has to be stated alongside any figure quoted. 6.8, 9.4 or 15.5 per cent for one economy, depending on the definition

  8. Why is a positive net jobs figure not automatically good news?
    Show the full solution

    Because the population is growing at the same time. Here 60,000 net new jobs were created while the working age population grew by 150,000, so 90,000 more people entered the population of potential workers than the new jobs could absorb. Employment rose in absolute terms and fell as a share of the working age population, which is why the jobs number must always be read against population growth rather than on its own. 60,000 new jobs against 150,000 more working age people is a relative fall

  9. Compute the inflation rate and explain the denominator.
    Show the full solution

    The index rose from 138.0 to 142.8, an increase of 4.8 points, so the rate is 4.8 divided by 138.0 times 100, which is 3.5 per cent. The denominator is the previous period's level rather than the base year of 100, because inflation measures the proportional change from where prices actually were. Dividing by 100 would give 4.8 per cent, which overstates it by more than a third. 3.5 per cent, dividing by the previous level of 138 rather than the base 100

  10. Compute growth and per capita growth, and say which matters.
    Show the full solution

    Real GDP rose from 945 to 963, which is 18 divided by 945 times 100, or 1.9 per cent. Population grew by 150,000 on 10,000,000, which is 1.5 per cent, so per capita real growth is about 0.4 per cent. The per capita figure is the one corresponding to living standards, because total output rising only as fast as the number of people sharing it leaves each person no better off. 1.9 per cent total and 0.4 per cent per head, with the second reflecting living standards

Lesson 5.3 · Unit 5 · CA HSS 12.5.3

Short-term and long-term rates, and what the gap between them means

Interest rates differ by how long the money is lent for, and the pattern of that difference carries information that is watched closely. The standard asks for the distinction and its relative significance, and both follow from what a lender is risking.

The key ideas
  1. A short-term rate applies to lending for days to about a year, such as overnight interbank lending and treasury bills.
  2. A long-term rate applies to lending for many years, such as ten year government bonds, corporate bonds and mortgages.
  3. Short rates are set mainly by central bank policy, since the central bank controls the supply of reserves and therefore the overnight rate.
  4. Long rates are set mainly by expectations, reflecting what the market expects average short rates and inflation to be over the whole term.
  5. Long rates usually exceed short rates, because a lender committing money for ten years faces more inflation risk and gives up more flexibility.
  6. The yield curve plots interest rate against term, and its normal shape slopes upward.
  7. An inverted yield curve, where short rates exceed long rates, indicates that markets expect rates and therefore activity to fall, and it has historically preceded downturns.
  8. Short rates matter most for business borrowing and variable rate debt; long rates matter most for mortgages, capital investment and government borrowing costs.

Where students lose marks: saying the central bank sets interest rates. It sets the shortest rate directly and influences long rates only through what it leads markets to expect, which is why long rates sometimes move against it.

Worked example

Constructed data. Three invented yield curves. Read each one and state what it implies.

TermCurve ACurve BCurve C
3 months2.1%5.4%1.0%
1 year2.5%5.2%1.1%
5 years3.4%4.6%1.6%
10 years4.0%4.2%2.2%
30 years4.4%4.1%2.9%

Step one: describe curve A. Rates rise steadily with term, from 2.1 to 4.4 per cent. This is the normal upward slope, and it says that lenders require extra compensation for committing money longer.

Step two: explain why that compensation is required. A lender tying money up for thirty years risks inflation eroding the repayment, risks the borrower's circumstances changing, and gives up the option to lend elsewhere if better opportunities appear. Three months carries almost none of that.

Step three: describe curve B. Rates fall with term, from 5.4 per cent at three months to 4.1 per cent at thirty years. This is inversion, and it is unusual because it means lenders accept less for taking more risk.

Step four: work out why anyone would accept that. Because a ten year rate is roughly an average of expected short rates over ten years. Accepting 4.2 per cent for ten years when three month money pays 5.4 makes sense only if you expect short rates to fall well below 4.2 during that decade.

Step five: state what falling short rates would imply. The central bank cuts short rates when it wants to stimulate a weak economy. Expecting sharply lower short rates therefore amounts to expecting a downturn, which is why an inverted curve is watched as a warning signal.

Step six: describe curve C. Rates are very low across the whole range, from 1.0 to 2.9 per cent, and the slope is normal. Low long rates indicate expectations of low inflation and weak demand for capital over a long period, which is a different message from inversion.

Step seven: work out who each curve affects. Under curve B, a business borrowing at short rates pays 5.4 per cent while a household taking a thirty year mortgage pays 4.1. Short and long borrowers face opposite conditions, so the same curve is restrictive for one and accommodating for the other.

Step eight: state the limit on central bank control. The bank can move the three month rate to 5.4 per cent directly by draining reserves. It cannot make the thirty year rate follow, because that rate depends on what markets expect over thirty years, and raising short rates today can lower long rates by convincing markets that a slowdown is coming. Control over one end of the curve is not control over the curve.

Practice · 10 questions

Questions 1 to 5 are recall. Questions 6 to 10 ask for reasoning.

  1. Distinguish short-term from long-term interest rates.
    Show the full solution

    Short rates apply to lending for days to a year; long rates apply to lending for many years

  2. What mainly sets short rates?
    Show the full solution

    Central bank policy, through its control of bank reserves

  3. What mainly sets long rates?
    Show the full solution

    Market expectations of average short rates and inflation over the term

  4. What is the yield curve, and what is its normal shape?
    Show the full solution

    A plot of interest rate against term, normally sloping upward

  5. What is an inverted yield curve taken to indicate?
    Show the full solution

    That markets expect rates and activity to fall, which has historically preceded downturns

  6. Why do long rates normally exceed short rates?
    Show the full solution

    Because a lender committing money for thirty years bears risks that a three month lender does not: inflation may erode the real value of the repayment over that period, the borrower's circumstances may deteriorate, and the lender gives up the option to redirect the money if better opportunities appear. Compensation for those risks and for the lost flexibility is what produces the upward slope from 2.1 per cent to 4.4 in curve A. Longer commitment means more inflation risk, more default risk and lost flexibility

  7. Why would anyone accept 4.2 per cent for ten years when three month money pays 5.4?
    Show the full solution

    Because a ten year rate is roughly the average of the short rates expected over those ten years. Locking in 4.2 per cent is rational if you expect short rates to fall well below 4.2 for much of the decade, since rolling three month deposits would then earn less on average. The inversion is therefore a statement about expected future rates rather than an irrational preference for less return. Because they expect short rates to fall far below 4.2 during the decade

  8. Explain the chain from inversion to a recession warning.
    Show the full solution

    Inversion implies markets expect short rates to fall sharply. Central banks cut short rates when they want to stimulate a weak economy, so expecting sharp cuts amounts to expecting weakness serious enough to require them. The curve is therefore an aggregation of many participants' forecasts, priced with real money, and that is why it is watched as a signal despite being an inference rather than a direct measurement. Expected rate cuts imply expected weakness, since cuts are the response to it

  9. Explain how the same curve can be restrictive and accommodating at once.
    Show the full solution

    Under curve B, a business financing inventory or working capital at short rates pays 5.4 per cent, which is expensive and discourages it, while a household taking a thirty year mortgage pays 4.1 per cent, which is cheap and encourages it. Borrowers at different terms face opposite conditions from a single curve, so describing monetary conditions as simply tight or loose conceals which part of the economy is being squeezed. Short borrowers pay 5.4 while long borrowers pay 4.1 on the same curve

  10. Why is it wrong to say the central bank sets interest rates?
    Show the full solution

    Because it sets only the shortest rate directly, by draining or adding reserves, and influences long rates solely through what it leads markets to expect. A thirty year rate reflects thirty years of expected short rates and inflation, which no central bank controls. Raising short rates today can even lower long rates, by persuading markets that a slowdown is coming, so the two ends of the curve can move in opposite directions. It controls only the short end; long rates follow expectations and can move against it

Unit 5 review · Measuring the Whole Economy · CA HSS 12.5

Ten questions across the whole unit

Questions 1 to 5 check that you hold the terms. Questions 6 to 10 require you to reason across several lessons at once.

  1. How do you convert a nominal figure to a real one?
    Show the full solution

    Divide by the price index and multiply by 100

  2. Define the labor force.
    Show the full solution

    Employed people plus people without work who are available and actively looking

  3. Define a discouraged worker.
    Show the full solution

    Someone who has stopped looking because they believe no work is available

  4. How is the real interest rate approximated?
    Show the full solution

    The nominal rate minus the inflation rate

  5. What is an inverted yield curve taken to indicate?
    Show the full solution

    That markets expect rates and activity to fall, which has historically preceded downturns

  6. Show how a nominal pay rise can be a real pay cut.
    Show the full solution

    A wage rising from 38,000 to 48,100 over five years is a nominal increase of 26.6 per cent. If the price index rose from 100 to 129 over the same period, the year 6 wage in year 1 prices is 48,100 divided by 129 times 100, which is 37,287, below the original 38,000. So a 26.6 per cent nominal rise is a 1.9 per cent real fall, and workers ended worse off despite every pay packet growing. 48,100 at an index of 129 is 37,287 in year 1 prices, below the original 38,000

  7. Why can a falling unemployment rate be bad news?
    Show the full solution

    Because people who stop looking leave the labor force and so disappear from both the numerator and the denominator. In the worked figures the rate fell from 8.2 to 6.8 per cent while employment rose only 60,000 and those outside the labor force rose 180,000, so most of the improvement was people giving up rather than finding work. Counting them back in gives 9.4 per cent, and adding underemployment gives 15.5. Discouraged workers leave the labor force, so giving up looks the same as finding work

  8. Why must the jobs figure be read against population growth?
    Show the full solution

    Because a positive number can still leave more people without work. Here 60,000 net new jobs were created while the working age population grew by 150,000, so 90,000 more people entered the potential workforce than the new jobs could absorb. Employment rose in absolute terms and fell as a share of the working age population, which is why the headline figure alone cannot tell you whether the labor market improved. 60,000 new jobs against 150,000 more working age people is a relative fall

  9. Distinguish growth from per capita growth and say which matters.
    Show the full solution

    Real GDP rising from 945 to 963 is 1.9 per cent growth. With population growing 1.5 per cent, per capita real growth is about 0.4 per cent. The per capita figure is the one corresponding to living standards, because total output rising only as fast as the number of people sharing it leaves each person no better off. A country can report respectable growth while its people gain almost nothing. 1.9 per cent total against 0.4 per head, and the per head figure reflects living standards

  10. Why is it wrong to say the central bank sets interest rates?
    Show the full solution

    Because it sets only the shortest rate directly, by draining or adding bank reserves, and influences long rates solely through what it leads markets to expect. A thirty year rate reflects thirty years of expected short rates and inflation, which no central bank controls. Raising short rates today can even lower long rates by persuading markets a slowdown is coming, so the two ends of the curve can move in opposite directions. It controls the short end only; long rates follow expectations and can move against it

Lesson 6.1 · Unit 6 · CA HSS 12.6.1

Gains in consumption and production efficiency

The case for trade rests on a result that looks wrong the first time you see it: two countries both gain from trading even when one is better at producing everything. Working the arithmetic is the only way to be convinced of it.

The key ideas
  1. Absolute advantage is the ability to produce more of a good with the same resources than another producer can.
  2. Comparative advantage is the ability to produce a good at a lower opportunity cost than another producer.
  3. Trade is driven by comparative advantage, not absolute advantage, which is why a country worse at everything still gains.
  4. Production efficiency rises because each country specializes where its opportunity cost is lowest, so world output increases from the same resources.
  5. Consumption efficiency rises because each country can then consume a combination it could not have produced by itself.
  6. The terms of trade are the rate at which the goods exchange, and both countries gain when that rate lies between their two opportunity costs.
  7. The pattern of Western Hemisphere trade in the twentieth century shifted from primary commodities exchanged for manufactures toward a much larger share of manufactured goods and components moving in both directions.
  8. Gains are aggregate, not universal, since the industries that lose comparative advantage contract and their workers bear real costs.

Where students lose marks: computing comparative advantage from output per worker instead of opportunity cost. The question is what must be given up, not who produces more.

Worked example

The source. David Ricardo, On the Principles of Political Economy and Taxation, 1817. Public domain.

Under a system of perfectly free commerce, each country naturally devotes its capital and labour to such employments as are most beneficial to each. This pursuit of individual advantage is admirably connected with the universal good of the whole.

It will appear, then, that a country possessing very considerable advantages in machinery and skill, and which may therefore be enabled to manufacture commodities with much less labour than her neighbours, may, in return for such commodities, import a portion of the corn required for its consumption, even if the land on which it is grown should be more fertile.

Step one: notice what the second passage claims. A country better at manufacturing and better at growing corn should still import corn. That is the counterintuitive result, stated by Ricardo two centuries ago.

Step two: build the arithmetic. Two invented countries, each with 1,000 worker-years. In Norland, one worker-year produces 20 tonnes of grain or 10 machines. In Sudland, one worker-year produces 8 tonnes of grain or 6 machines.

Step three: confirm the absolute advantage. Norland produces more grain per worker, 20 against 8, and more machines per worker, 10 against 6. It is better at both, so on the naive view it should trade with nobody.

Step four: compute opportunity costs. In Norland, producing one machine means giving up 2 tonnes of grain, since 20 divided by 10 is 2. In Sudland, one machine costs 8 divided by 6, which is 1.33 tonnes of grain. Sudland gives up less grain per machine than Norland does.

Step five: state the comparative advantages. Sudland has the comparative advantage in machines, at 1.33 tonnes against 2. Norland has it in grain: a tonne of grain costs Norland 0.5 machines and costs Sudland 0.75 machines. Each country should specialize accordingly.

Step six: compute the gain from specialization. Without trade, suppose each splits its 1,000 worker-years evenly. Norland makes 10,000 tonnes and 5,000 machines; Sudland makes 4,000 tonnes and 3,000 machines. World totals are 14,000 tonnes and 8,000 machines.

Step seven: specialize and recompute. Norland puts all 1,000 worker-years into grain, producing 20,000 tonnes. Sudland puts all 1,000 into machines, producing 6,000. World totals are 20,000 tonnes and 6,000 machines. Grain rose by 6,000 and machines fell by 2,000, so adjust: Norland uses 850 worker-years for grain, making 17,000 tonnes, and 150 for machines, making 1,500. World totals become 21,000 tonnes and 7,500 machines against 14,000 and 8,000. Trading 500 machines' worth of grain at a rate between 1.33 and 2 leaves both better off.

Step eight: set the terms of trade and check. Exchange at 1.7 tonnes of grain per machine. Sudland gives up 1.33 tonnes to make a machine and receives 1.7, so it gains 0.37 tonnes per machine traded. Norland gives up 1.7 tonnes to obtain a machine it would have spent 2 tonnes to make, so it gains 0.3 tonnes per machine. Any rate strictly between the two opportunity costs benefits both, which is what makes the gains mutual rather than a transfer.

Practice · 10 questions

Questions 1 to 5 are recall. Questions 6 to 10 ask for reasoning.

  1. Define absolute advantage.
    Show the full solution

    Producing more of a good with the same resources than another producer can

  2. Define comparative advantage.
    Show the full solution

    Producing a good at a lower opportunity cost than another producer

  3. Which one drives trade?
    Show the full solution

    Comparative advantage

  4. Define the terms of trade.
    Show the full solution

    The rate at which the two goods exchange between the countries

  5. How did Western Hemisphere trade change over the twentieth century?
    Show the full solution

    From primary commodities exchanged for manufactures toward manufactured goods and components moving both ways

  6. Compute both countries' opportunity costs and identify each comparative advantage.
    Show the full solution

    In Norland one worker-year yields 20 tonnes of grain or 10 machines, so a machine costs 2 tonnes of grain and a tonne of grain costs 0.5 machines. In Sudland one worker-year yields 8 tonnes or 6 machines, so a machine costs 1.33 tonnes and a tonne costs 0.75 machines. Sudland gives up less grain per machine, so it has the comparative advantage in machines; Norland gives up fewer machines per tonne, so it has it in grain. Machines cost 2 tonnes in Norland and 1.33 in Sudland, so Sudland specializes in machines

  7. Why does Norland gain from trade despite being better at both goods?
    Show the full solution

    Because absolute advantage says nothing about what Norland must give up. Every worker-year Norland spends making machines is a worker-year not producing 20 tonnes of grain, so machines are expensive for it in the only sense that matters. Buying machines from Sudland at 1.7 tonnes each, rather than producing them at a cost of 2 tonnes each, saves Norland 0.3 tonnes per machine. Being better at something does not make doing it worthwhile. Its own machines cost 2 tonnes of forgone grain, and importing costs 1.7

  8. Show that specialization raises world output.
    Show the full solution

    Splitting resources evenly, Norland makes 10,000 tonnes and 5,000 machines and Sudland makes 4,000 tonnes and 3,000 machines, giving world totals of 14,000 tonnes and 8,000 machines. If Sudland moves entirely into machines, producing 6,000, and Norland puts 850 worker-years into grain for 17,000 tonnes and 150 into machines for 1,500, world totals become 21,000 tonnes and 7,500 machines. Grain rises by 7,000 at a cost of 500 machines. World grain rises from 14,000 to 21,000 tonnes for a loss of 500 machines

  9. Verify that terms of trade of 1.7 benefit both.
    Show the full solution

    Sudland gives up 1.33 tonnes of grain to produce a machine and receives 1.7 tonnes for it, gaining 0.37 tonnes on every machine traded. Norland gives up 1.7 tonnes to obtain a machine that would have cost it 2 tonnes to make itself, gaining 0.3 tonnes per machine. Both gain because 1.7 lies strictly between the two opportunity costs of 1.33 and 2, which is the condition for mutual benefit. Sudland gains 0.37 tonnes and Norland 0.3 per machine, since 1.7 lies between 1.33 and 2

  10. Why are the gains aggregate rather than universal?
    Show the full solution

    Because specialization means some industries contract. Norland's machine industry shrinks from 500 worker-years to 150, so 350 worker-years of machine-building labor must find other work, and the skills, plant and towns built around that industry lose value. The country as a whole consumes more, and specific identifiable people bear real costs, which is why trade is politically contested despite the arithmetic being favorable. Contracting industries impose real losses on identifiable workers even as the country gains

Lesson 6.2 · Unit 6 · CA HSS 12.6.2

The Depression and the present argument compared

The standard asks specifically for a comparison between the reasons for trade restriction during the Great Depression and the arguments made today by labor, business and political leaders. The mechanisms are similar and the scale is not.

The key ideas
  1. A tariff is a tax on imports, which raises their price and shifts demand toward domestic producers.
  2. A quota is a quantity limit on imports, which raises price without generating revenue for the government.
  3. Non-tariff barriers include standards, licensing requirements and customs procedures that raise the cost of importing without any stated tariff.
  4. The Smoot-Hawley Tariff Act of 1930 raised United States duties on a very wide range of imports during the early Depression.
  5. Retaliation followed, as trading partners raised their own duties, and world trade contracted sharply over the following years.
  6. The Depression-era argument was that tariffs would protect domestic jobs and farm incomes during a collapse in demand.
  7. The present arguments are job protection, labor and environmental standards abroad, national security in strategic industries, and responses to subsidies or dumping by other countries.
  8. The structural difference is supply chains: a tariff today often taxes components that domestic manufacturers use, so it raises their costs as well.
  9. The political economy is unchanged: concentrated producer losses organize and diffuse consumer gains do not, which is lesson 2.7's asymmetry applied to policy.

Where students lose marks: treating every argument for protection as identical. A national security argument about a specific strategic input and a general argument about cheap imports are different claims requiring different answers.

Worked example

The source. The Tariff Act of 1930, commonly called Smoot-Hawley, United States Statutes at Large. A federal statute and therefore in the public domain.

That on and after the day following the enactment of this Act, except as otherwise specially provided for in this Act, there shall be levied, collected, and paid upon all articles when imported from any foreign country into the United States the rates of duty which are prescribed by the schedules and paragraphs of the dutiable list of this title.

Step one: note the breadth of the language. All articles from any foreign country. The Act was not a targeted response to one industry's problem; it raised duties across the schedules simultaneously, which is what made retaliation so general.

Step two: work the intended effect. Take an invented imported good selling at 100 with a domestic equivalent costing 118 to produce. A 25 per cent tariff raises the import price to 125, so the domestic producer can now sell. Domestic output and employment in that industry rise. The stated aim is achieved.

Step three: work the cost to buyers. Every buyer now pays 118 or 125 instead of 100. If 2,000,000 units are bought annually, the cost to buyers is at least 36,000,000 a year, and the jobs saved are perhaps 900. The cost per job saved is around 40,000 a year paid by consumers.

Step four: add retaliation. The exporting country raises its own duties on goods it buys from you. If your exporters lose 1,400 jobs as a result, the policy has destroyed more employment than it protected, and the consumer cost remains. This is what happened generally after 1930.

Step five: add the Depression-specific problem. When demand is collapsing everywhere, every country has the same incentive to protect, so retaliation is near certain and the contraction compounds. Trade restriction transmits a downturn rather than containing it.

Step six: compare with a present argument about components. Suppose a tariff of 25 per cent is placed on imported steel. Domestic steelmakers gain. Domestic manufacturers of vehicles, appliances and machinery use steel, and their costs rise, so their output and employment fall.

Step seven: quantify why that matters more now. If steelmaking employs 80,000 and steel-using manufacturing employs 2,000,000, then a policy helping the first group at the expense of the second is helping one worker for every twenty-five it harms. Modern supply chains mean most imports are inputs, which is the main structural change since 1930.

Step eight: separate the arguments that survive. A national security argument about a specific input, or a response to demonstrated dumping below cost, is a narrow claim that can be examined on evidence. A general argument that imports cost jobs ignores both the consumer cost and the export jobs lost to retaliation. Distinguishing the two is what the standard's comparison asks for.

Practice · 10 questions

Questions 1 to 5 are recall. Questions 6 to 10 ask for reasoning.

  1. Define a tariff and a quota.
    Show the full solution

    A tax on imports, and a quantity limit on imports

  2. Give two examples of non-tariff barriers.
    Show the full solution

    Standards, licensing requirements, and burdensome customs procedures

  3. What did the Tariff Act of 1930 do?
    Show the full solution

    Raised United States duties across a very wide range of imports during the early Depression

  4. What followed it?
    Show the full solution

    Retaliation by trading partners and a sharp contraction in world trade

  5. Name three present-day arguments for trade restriction.
    Show the full solution

    Job protection, labor and environmental standards abroad, national security in strategic industries, and responses to dumping

  6. Work out the cost per job saved by the tariff.
    Show the full solution

    A 25 per cent tariff raises the imported price from 100 to 125, so buyers pay either 125 for the import or 118 for the domestic equivalent instead of 100. Across 2,000,000 units that is at least 36,000,000 a year in extra cost. If roughly 900 jobs are preserved, consumers are paying about 40,000 per job saved annually, which is a real transfer from many people to a few and usually exceeds the wage itself. About 40,000 a year per job, paid by consumers

  7. Explain how retaliation can reverse the policy's employment effect.
    Show the full solution

    The exporting country responds by raising its own duties on goods it buys from you, so your exporters lose sales. If that costs 1,400 jobs while the tariff protected 900, net employment has fallen, and buyers are still paying the higher prices. The policy has produced a loss on both counts. This general pattern is what followed the 1930 Act as partners raised duties in response across the schedules. 1,400 export jobs lost against 900 protected, with the consumer cost remaining

  8. Why is trade restriction especially damaging during a general downturn?
    Show the full solution

    Because when demand is collapsing everywhere, every country faces the same pressure to protect its own producers, so retaliation is near certain rather than merely possible. Each round of restriction reduces someone else's exports, which deepens their downturn and increases their own pressure to restrict. Trade barriers therefore transmit and compound a contraction across borders rather than containing it within one economy. Every country faces the same incentive at once, so restriction compounds the contraction

  9. Explain the structural difference between 1930 and now.
    Show the full solution

    Most imports today are inputs to domestic production rather than finished goods competing with it. A 25 per cent steel tariff helps 80,000 steelworkers and raises costs for the 2,000,000 people employed making vehicles, appliances and machinery from steel, so it assists one worker for roughly every twenty-five it harms. Supply chains mean a tariff now taxes the domestic manufacturers it was supposed to protect. Imports are now mostly inputs, so tariffs raise domestic manufacturers' costs

  10. Which arguments for restriction survive scrutiny, and why?
    Show the full solution

    Narrow ones that make a specific checkable claim. A national security argument about a particular strategic input identifies a good, a risk and a quantity, all of which can be examined on evidence. A response to demonstrated dumping below production cost is similarly specific. A general argument that imports cost jobs does not survive, because it counts the protected jobs while ignoring the consumer cost and the export jobs lost to retaliation. Specific security or dumping claims are checkable; general job arguments omit both costs

Lesson 6.3 · Unit 6 · CA HSS 12.6.3

The changing role of borders and territorial sovereignty

A border used to be the point at which goods were counted and taxed and at which one legal system ended. It still is for some purposes and has stopped being so for others, and sorting out which is which is the substance of this standard.

The key ideas
  1. Territorial sovereignty is a state's exclusive authority to make and enforce law within its own borders.
  2. Borders have become more permeable to goods, capital and information and have in many places become less permeable to people.
  3. Trade agreements transfer some authority to shared rules and dispute procedures, which states accept because membership gains them market access.
  4. Capital crosses borders almost without friction, which limits how far a state can tax or regulate mobile capital before it leaves.
  5. Firms operate across jurisdictions and can locate profit, production and headquarters in different countries, which complicates taxation.
  6. Some problems cross borders inherently, such as emissions, financial contagion and disease, so no single state can address them alone.
  7. Sovereignty is not lost but exchanged, since each authority given up buys a specific benefit, which is the argument of human geography lesson 4.8.
  8. Borders remain decisive for labor, law, taxation and currency, which is why reports of their disappearance are overstated.

Where students lose marks: asserting that globalization has made borders irrelevant. They have become highly selective rather than irrelevant, and specifying what they still stop is the analysis.

Worked example

Constructed case. An invented firm operating across four countries. Follow what the border does and does not stop at each step.

The firm. It designs medical devices in country A, manufactures components in country B, assembles in country C, and sells across all four plus country D. Its headquarters is registered in country A and its intellectual property is held by a subsidiary in country D.

Step one: follow the design. Engineering files move from A to B and C instantly at no cost. The border stops nothing, and no customs officer inspects a file transfer. Information crosses freely.

Step two: follow the components. Physical goods from B to C cross a real border, are counted, may be tariffed, and must meet C's standards. The border is real for goods, and under a trade agreement its cost may be small.

Step three: follow the money. Payments move between all four in seconds. Capital crosses essentially without friction, which is why a state raising taxes on mobile capital risks seeing it relocate rather than pay.

Step four: follow the people. An engineer moving from A to C needs a visa, possibly professional recognition of qualifications, and permission to work. This border is substantial. Labor is the least mobile factor, which is the asymmetry of lesson 4.4.

Step five: follow the profit. The subsidiary in D charges the others a licensing fee for the intellectual property. If that fee is set high, profit appears in D and not in A, B or C. No good crossed a border, and taxable income moved between jurisdictions by contract.

Step six: state what that does to sovereignty. Country A retains the legal authority to tax profits arising in A. The firm has arranged for fewer profits to arise there. The authority is intact and the tax base has moved, which is a different problem requiring cooperation between states rather than assertion by one.

Step seven: apply a cross-border problem. Suppose manufacturing in B emits a pollutant that drifts into C. C has full sovereign authority over its own territory and none over B's factory. No exercise of C's sovereignty can solve this, so a treaty is the only instrument available.

Step eight: state the conclusion in the standard's terms. Borders have become selectively permeable: nearly open to information and capital, managed for goods, and firmly closed for labor. Sovereignty over territory is undiminished in law and constrained in practice by the mobility of what it is applied to. What states have done in response is exchange specific authorities for specific benefits through agreements, rather than surrender sovereignty in general.

Practice · 10 questions

Questions 1 to 5 are recall. Questions 6 to 10 ask for reasoning.

  1. Define territorial sovereignty.
    Show the full solution

    A state's exclusive authority to make and enforce law within its own borders

  2. What have borders become more permeable to, and less permeable to?
    Show the full solution

    More permeable to goods, capital and information; in many places less permeable to people

  3. Why do states accept shared rules in trade agreements?
    Show the full solution

    Because membership gains them market access they could not otherwise have

  4. Name two problems that cross borders inherently.
    Show the full solution

    Emissions, financial contagion, and disease

  5. Name three things borders remain decisive for.
    Show the full solution

    Labor movement, legal jurisdiction, taxation, and currency

  6. Compare what the border does to files, goods, money and people.
    Show the full solution

    Engineering files move between countries instantly at no cost and no official inspects them, so the border stops nothing. Physical components are counted, may be tariffed and must meet the importing country's standards, so the border is real though often cheap to cross. Payments settle in seconds with essentially no friction. An engineer needs a visa, recognition of qualifications and permission to work, so for people the border is substantial. Open for information and capital, managed for goods, firmly closed for people

  7. Explain how profit moves between countries without any good crossing a border.
    Show the full solution

    The subsidiary holding the intellectual property in country D charges the operating companies in A, B and C a licensing fee for using it. Setting that fee high makes costs rise and profits fall in A, B and C while profits rise in D. Nothing physical has moved and no border has been crossed by any object, yet taxable income has relocated between jurisdictions by contract alone. An intra-group licensing fee shifts taxable income without moving anything

  8. Has country A lost sovereignty in that example?
    Show the full solution

    No. Country A retains full legal authority to tax profits arising within A, and nobody has taken that authority away. What has happened is that the firm has arranged for fewer profits to arise there. The authority is undiminished while the base it applies to has moved, which is a different problem and one that requires cooperation between states rather than more forceful assertion by any one of them. The authority is intact; the tax base moved, which needs cooperation not assertion

  9. Why can sovereignty not solve the cross-border pollution case?
    Show the full solution

    Because country C has complete authority over its own territory and none whatever over a factory inside country B, and the pollution originates in B. No law C passes, however vigorously enforced, reaches the source. Sovereignty is territorial by definition, so a problem whose cause lies outside the territory is outside its reach, and a treaty in which B agrees to act is the only instrument available. The source lies outside C's territory, so territorial authority cannot reach it

  10. State the standard's answer about the changing role of borders.
    Show the full solution

    Borders have become selectively permeable rather than irrelevant: nearly open to information and capital, managed and often cheap for goods, and firmly closed for labor. Legal sovereignty over territory is undiminished, while its practical reach is constrained by the mobility of what it applies to. States have responded by exchanging specific authorities for specific benefits through agreements, which is an exchange rather than a surrender. Selectively permeable borders, undiminished legal authority, and sovereignty exchanged for benefits

Lesson 6.4 · Unit 6 · CA HSS 12.6.4

How exchange rates are determined, and what a rising or falling dollar does

An exchange rate is the price of one currency in terms of another, and like any other price it is set by supply and demand. The complication is that a currency is demanded in order to buy something else, so the analysis runs one step behind.

The key ideas
  1. An exchange rate is the price of one currency expressed in another.
  2. Demand for a currency comes from foreigners wanting to buy that country's goods, services, assets or currency itself.
  3. Supply of a currency comes from its own residents wanting foreign goods, services or assets.
  4. A floating rate is set by those market forces; a fixed rate is maintained by the central bank buying and selling its own currency.
  5. Appreciation means a currency gains value against others; depreciation means it loses value.
  6. A stronger dollar makes imports cheaper and exports dearer, so it helps importers and consumers and hurts exporters.
  7. A weaker dollar does the reverse, helping exporters and raising the cost of imported goods and inputs.
  8. Interest rates move exchange rates, because higher rates attract foreign funds seeking the return, which raises demand for the currency.
  9. Inflation moves them the other way, because a currency losing purchasing power at home buys less abroad too, so its value falls.

Where students lose marks: calling a strong currency good and a weak one bad. Each helps one group and harms another, so the right answer names the groups rather than issuing a verdict.

Worked example

Constructed arithmetic. An invented pair of currencies, the dollar and the mark, moved by three different causes with the effects traced each time.

The starting point. One dollar buys 4 marks. A machine made in the dollar country sells for 30,000 dollars. A car made in the mark country sells for 60,000 marks.

Step one: price each good in the other currency. The machine costs a mark country buyer 30,000 times 4, which is 120,000 marks. The car costs a dollar country buyer 60,000 divided by 4, which is 15,000 dollars.

Cause one: the dollar country raises interest rates. Foreign investors want dollar bonds, so they buy dollars. Demand for dollars rises and the dollar appreciates to 5 marks.

Step two: reprice both goods. The machine now costs 30,000 times 5, which is 150,000 marks, a rise of 25 per cent for foreign buyers. The car now costs 60,000 divided by 5, which is 12,000 dollars, a fall of 20 per cent for domestic buyers.

Step three: name the winners and losers. Machine exporters lose, because their price abroad rose 25 per cent without them changing anything. Car importers and domestic consumers gain. Domestic machine workers may lose jobs; domestic buyers of imported inputs gain.

Cause two: the dollar country has higher inflation than the mark country. Its goods become dearer at home, so foreigners buy fewer of them, reducing demand for dollars, while its residents buy more imports, increasing supply of dollars. The dollar depreciates to 3.2 marks.

Step four: reprice again. The machine costs 30,000 times 3.2, which is 96,000 marks, so exporters are more competitive abroad. The car costs 60,000 divided by 3.2, which is 18,750 dollars, so imports are dearer at home.

Step five: note the self-correcting tendency. The depreciation partly offsets the inflation for trade purposes, since dearer domestic goods are being bought with a cheaper currency. That is why exchange rates tend over long periods to move toward equalizing purchasing power, though they deviate from it for years at a time.

Cause three: the mark country's economy weakens and investors move funds to dollars. This raises demand for dollars for reasons unconnected with trade in goods at all, and the dollar appreciates again.

Step six: state what that shows. Exchange rates are driven by capital flows as well as trade flows, and capital flows are far larger and faster. A currency can appreciate while the country runs a trade deficit, which would be impossible if only trade moved the rate.

Step seven: work a fixed rate instead. If the dollar country pledges to hold 4 marks when market forces would push it to 3.2, it must buy its own currency using foreign reserves. If reserves run down faster than the pressure eases, the peg breaks.

Step eight: state the trade-off between the two systems. A fixed rate gives traders and investors certainty and costs the country its independent monetary policy, since interest rates must be set to defend the peg. A floating rate keeps monetary independence and imposes exchange risk on everyone who trades. Neither is better in general, which is why different countries choose differently.

Practice · 10 questions

Questions 1 to 5 are recall. Questions 6 to 10 ask for reasoning.

  1. Define an exchange rate.
    Show the full solution

    The price of one currency expressed in terms of another

  2. Where does demand for a currency come from?
    Show the full solution

    Foreigners wanting that country's goods, services, assets or currency itself

  3. Distinguish appreciation from depreciation.
    Show the full solution

    Appreciation is a gain in value against other currencies; depreciation is a loss

  4. What does a stronger dollar do to imports and exports?
    Show the full solution

    Makes imports cheaper and exports more expensive abroad

  5. How do higher interest rates affect a currency?
    Show the full solution

    They attract foreign funds seeking the return, raising demand for the currency and its value

  6. Work through what appreciation to 5 marks does to both goods.
    Show the full solution

    The 30,000 dollar machine costs a foreign buyer 30,000 times 5, which is 150,000 marks, up from 120,000, a rise of 25 per cent although the producer changed nothing. The 60,000 mark car costs a domestic buyer 60,000 divided by 5, which is 12,000 dollars, down from 15,000, a fall of 20 per cent. Exporters are harmed and importers and consumers gain, purely from the currency move. Exports rise 25 per cent abroad while imports fall 20 per cent at home

  7. Explain how inflation depreciates a currency.
    Show the full solution

    Higher domestic inflation makes the country's goods dearer, so foreigners buy fewer of them and demand less of its currency to pay for them. At the same time its own residents find imports relatively cheaper and buy more, which increases the supply of its currency on the market. Demand falls and supply rises simultaneously, so the price of the currency falls, here from 4 marks to 3.2. Falling foreign demand and rising domestic supply of the currency push its price down

  8. Why is the depreciation partly self-correcting?
    Show the full solution

    Because it offsets the inflation for trade purposes. Domestic goods became dearer in domestic currency, but foreigners are now buying that currency more cheaply, so the price they actually face rises less than the inflation rate or may even fall. The 30,000 dollar machine costs 96,000 marks after depreciation against 120,000 before. Exchange rates therefore tend over long periods toward equalizing purchasing power, while deviating for years at a time. A cheaper currency offsets dearer goods, pushing toward purchasing power parity

  9. What does the third cause show about what moves exchange rates?
    Show the full solution

    That capital flows matter as much as trade flows and are far larger and faster. Investors moving funds into dollars because the mark country's economy has weakened raises dollar demand for reasons unconnected with any good being bought or sold. This is why a currency can appreciate while its country runs a trade deficit, an outcome that would be impossible if only trade in goods and services set the rate. Capital flows can move a rate independently of trade, even against a deficit

  10. State the trade-off between fixed and floating rates.
    Show the full solution

    A fixed rate gives traders and investors certainty about future prices, which encourages long-term contracts and investment, and it costs the country its independent monetary policy, since interest rates must be set to defend the peg rather than to suit domestic conditions. It can also break, when reserves run down faster than pressure eases. A floating rate preserves monetary independence and imposes exchange risk on everyone who trades. Certainty at the cost of monetary independence, against independence at the cost of risk

Unit 6 review · International Trade · CA HSS 12.6

Ten questions across the whole unit

Questions 1 to 5 check that you hold the terms. Questions 6 to 10 require you to reason across several lessons at once.

  1. Distinguish absolute from comparative advantage.
    Show the full solution

    Absolute advantage is producing more with the same resources; comparative advantage is producing at a lower opportunity cost

  2. Which one drives trade, and what are the terms of trade?
    Show the full solution

    Comparative advantage; the terms of trade are the rate at which the goods exchange

  3. Define a tariff and a quota.
    Show the full solution

    A tax on imports, and a quantity limit on imports

  4. Define territorial sovereignty.
    Show the full solution

    A state's exclusive authority to make and enforce law within its own borders

  5. What does a stronger dollar do to imports and exports?
    Show the full solution

    Makes imports cheaper at home and exports more expensive abroad

  6. Show why a country better at producing everything still gains from trade.
    Show the full solution

    Because absolute advantage says nothing about what must be given up. Norland produces 20 tonnes of grain or 10 machines per worker-year, so a machine costs it 2 tonnes; Sudland produces 8 tonnes or 6 machines, so a machine costs it 1.33 tonnes. Norland is better at both and its own machines are expensive in forgone grain. Importing at 1.7 tonnes per machine saves it 0.3 tonnes each, while Sudland gains 0.37. Norland's machines cost 2 tonnes of forgone grain and importing costs 1.7

  7. Work out what a protective tariff actually costs.
    Show the full solution

    A 25 per cent tariff raising an import from 100 to 125 means buyers pay 118 or 125 instead of 100, which across 2,000,000 units is at least 36,000,000 a year for perhaps 900 jobs saved, about 40,000 per job. Retaliation then costs exporters perhaps 1,400 jobs, so net employment falls while the consumer cost remains. The policy loses on both counts. About 40,000 per job saved, plus 1,400 export jobs lost to retaliation

  8. Explain the main structural difference between 1930 and the present argument.
    Show the full solution

    Most imports today are inputs to domestic production rather than finished goods competing with it. A 25 per cent steel tariff helps 80,000 steelworkers and raises costs for the 2,000,000 people employed making vehicles, appliances and machinery out of steel, so it assists one worker for roughly every twenty-five it harms. Supply chains mean a tariff now taxes the domestic manufacturers it was meant to protect. Imports are now mostly inputs, so tariffs raise domestic producers' own costs

  9. In what sense have borders changed, and in what sense have they not?
    Show the full solution

    They have become selectively permeable rather than irrelevant: nearly open to information and capital, managed and often cheap for goods, and firmly closed for labor. Legal sovereignty over territory is completely undiminished, while its practical reach is constrained because what it applies to can move. States have responded by exchanging specific authorities for specific benefits through agreements, which is an exchange rather than a surrender. Selectively permeable in practice, with legal sovereignty intact

  10. Why is a strong currency neither good nor bad?
    Show the full solution

    Because it helps one group and harms another. If the dollar appreciates from 4 marks to 5, a 30,000 dollar machine costs foreign buyers 150,000 marks instead of 120,000, a rise of 25 per cent that harms exporters without them changing anything, while a 60,000 mark car costs domestic buyers 12,000 dollars instead of 15,000, helping importers and consumers. The right answer names the groups rather than issuing a verdict. Exporters lose 25 per cent of price competitiveness while importers and consumers gain 20

Data analysis 1 · 45 minutes

Analyze the data below and explain what it shows about the effect of a minimum wage increase.

Directions

You have forty-five minutes. Do the arithmetic before you argue. State what the data supports, what it does not, and what further evidence you would want.

A strong answer identifies at least one alternative explanation for the pattern.

The data

Source: constructed dataset, built to show a specific pattern. Two neighboring counties, one of which raised its minimum wage from 12 to 15 dollars in January of year 2.

COUNTY A, minimum wage raised to 15 dollars
Year 1: 8,400 fast-food jobs. Average hours per worker 31. Restaurant count 210.
Year 2: 8,150 fast-food jobs. Average hours per worker 28. Restaurant count 205.

COUNTY B, minimum wage unchanged at 12 dollars
Year 1: 7,900 fast-food jobs. Average hours per worker 31. Restaurant count 198.
Year 2: 8,100 fast-food jobs. Average hours per worker 31. Restaurant count 201.

Regional fast-food employment excluding both counties rose 2.4 percent over the same period.

Show a top-score response

The data shows a reduction in hours in the county that raised its minimum wage, a small fall in job count against a rising regional trend, and no comparable movement in the neighboring county. It supports the conclusion that the increase reduced labor demand at the margin, and it supports that conclusion much less strongly than the headline job figures alone would suggest, because the largest effect is in hours rather than headcount.

Start with the arithmetic. County A's jobs fell from 8,400 to 8,150, a loss of 250, or about 3.0 percent. County B's rose from 7,900 to 8,100, a gain of 200, or about 2.5 percent, which is close to the regional figure of 2.4 percent. So County B behaved like the region and County A did not.

The comparison is what gives the data its force. Had we observed only County A, a 3 percent fall could plausibly be a regional downturn. Because the neighboring county and the wider region both grew by around 2.5 percent, the divergence is about 5.5 percentage points, and the minimum wage change is the visible difference between them. This is the logic of a natural experiment, and the neighboring-county design is what makes it usable.

The hours data matters more than the job data and is easy to skip. Average hours in County A fell from 31 to 28, a reduction of about 9.7 percent, while County B held at 31. Total hours worked in County A therefore fell from 8,400 times 31, which is 260,400, to 8,150 times 28, which is 228,200, a fall of about 12.4 percent. Measuring the effect in jobs alone understates it by a factor of four.

That points to the mechanism. Employers facing a higher hourly cost appear to have adjusted mainly by scheduling fewer hours rather than by dismissing workers, which is the cheaper and less visible adjustment. It also means a worker who kept their job is not necessarily better off: at 12 dollars for 31 hours a week the weekly wage is 372, and at 15 dollars for 28 hours it is 420, so this worker gained, but the gain is 13 percent rather than the 25 percent the headline rate implies.

The restaurant counts add a third margin. County A lost 5 restaurants and County B gained 3. Five closures out of 210 is small and consistent with normal turnover, so this is the weakest of the three signals and should be reported as suggestive rather than as evidence.

Several alternative explanations deserve stating. The two counties may differ in ways the data does not show: if County A's restaurants were concentrated near an employer that shed staff in year 2, or if a road closure or a rent increase hit one county, the divergence would appear without the wage change causing it. Firms may also have anticipated the increase and adjusted in late year 1, which would put part of the effect in the baseline and understate what we are measuring.

There is also a selection issue worth naming. Counties that raise their minimum wage are not chosen at random; they tend to be places where wages and costs are already rising, which could mean County A was on a different trajectory before the policy. A single pre-policy year cannot distinguish a level difference from a trend difference.

The further evidence I would want follows directly. Several years of data before the change, to establish that the two counties tracked each other previously, which is the key assumption of this design. Data on prices, to see whether costs were passed to consumers rather than absorbed in hours. Data on worker turnover and vacancies, since a higher wage can reduce quitting and recruitment costs. And figures for sectors not affected by the minimum wage in both counties, as a check that nothing county-wide was happening.

The disciplined conclusion is that the data is consistent with a reduction in labor demand concentrated in hours rather than jobs, that the effect on total hours is around 12 percent and much larger than the job figures suggest, that workers who kept their hours gained less than the headline rate implies, and that a single pre-policy year is not enough to rule out the counties having been on different paths already.

Data analysis 2 · 45 minutes

Analyze the data below and assess the state of this economy.

Directions

You have forty-five minutes. Compute real growth and the labor market figures before interpreting them.

Say what each headline number conceals, and recommend one policy with its risks.

The data

Source: constructed dataset for a hypothetical economy, built to show a specific combination.

Nominal GDP: year 1, 800 billion. Year 2, 872 billion.
Price index: year 1, 100. Year 2, 107.

Population 10 million. Employed 4.5 million. Actively seeking work 250,000. Stopped looking in the last year 180,000. Working part-time but wanting full-time hours 420,000.

Central bank policy rate: 1.0 percent. Government budget: deficit of 6 percent of GDP.

Show a top-score response

This economy shows weak real growth, moderate inflation, and a labor market considerably worse than its headline unemployment rate suggests. The combination is awkward for policy, because the standard response to weak demand is expansion and both the main expansionary tools are already close to exhausted.

Begin with real growth. Nominal GDP rose from 800 to 872 billion, which is 72 on 800, or 9 percent. The price index rose from 100 to 107, which is 7 percent. Real growth is therefore approximately 9 minus 7, which is about 2 percent. Computed more precisely, real year 2 GDP is 872 divided by 1.07, which is about 815 billion, so growth on 800 is about 1.9 percent.

That figure is the first important finding. A reader looking only at nominal GDP would see 9 percent growth and conclude the economy was booming. Almost four fifths of the increase is prices. Real output grew slowly.

Now the labor market, where the headline is most misleading. The labor force is the employed plus those actively seeking, 4.5 million plus 250,000, which is 4.75 million. Unemployment is 250,000 divided by 4.75 million, which is about 5.3 percent. On its own that looks close to healthy.

Two adjustments change the picture. The 180,000 who stopped looking are not counted. Had they still been searching, the labor force would be 4.93 million and unemployment would be 430,000 over 4.93 million, about 8.7 percent. That is a substantially different economy, and the difference is entirely definitional.

The 420,000 working part-time while wanting full-time hours are counted as fully employed, though their labor is underused. Adding them to the 430,000 gives 850,000 people whose work situation is not what they want, which against a labor force of 4.93 million is about 17 percent. The headline rate of 5.3 percent captures under a third of the problem.

The employment to population ratio provides a check that is immune to the definitional issue: 4.5 million over 10 million is 45 percent. This figure does not move when people stop searching, which is why it is worth computing whenever discouraged workers are present in the data.

Putting the pieces together: real growth of about 1.9 percent, inflation of 7 percent, and broad labor underutilization around 17 percent. The inflation is the puzzle, because weak demand and slack labor markets usually produce low inflation. That combination points toward a supply-side cause, such as higher import or energy costs, rather than an economy running hot. Naming that possibility matters, because the correct policy differs entirely.

Policy options are constrained. The central bank's rate is already at 1.0 percent, so there is very little room to cut further, and monetary expansion is in any case ineffective when firms do not want to borrow. The budget deficit is 6 percent of GDP, which limits appetite for further fiscal expansion and means additional borrowing costs would rise.

If the inflation is supply-driven, raising interest rates to fight it would suppress already weak demand without addressing the cause, which is the classic error in this situation. I would therefore recommend targeted fiscal measures aimed at the underemployed rather than general stimulus: support for converting part-time roles to full-time, and training aimed at the 180,000 who left the labor force, since bringing them back raises capacity rather than only demand.

The risks should be stated. Any fiscal expansion adds to a deficit already at 6 percent. If the inflation turns out to be demand-driven after all, the measures worsen it. And labor market programs have long lags and mixed evidence on effectiveness. The evidence I would want before committing is a breakdown of which prices rose, since a rise concentrated in imports and energy would confirm the supply-side reading and a broad-based rise would refute it.

Policy analysis 1 · 60 minutes

Using both sources, evaluate a proposed tax on sugary drinks.

Directions

You have sixty minutes. Identify the market failure, work out who bears the burden, and reach a recommendation.

Address both the efficiency and the equity effects, and name what evidence would change your mind.

Source A: the proposal

Source: constructed policy document for a hypothetical city council.

A tax of 0.02 dollars per fluid ounce would be levied on distributors of sugar-sweetened beverages. Estimated annual revenue is 18 million dollars, to be spent on school nutrition programs. The stated aims are to reduce consumption, to recover the public health costs of diet-related disease, and to fund prevention.

Source B: consumption and burden data

Source: constructed dataset, built to show a specific pattern.

Estimated price elasticity of demand for sugary drinks: 1.2 in this city.

Average annual spending on sugary drinks: lowest income fifth, 310 dollars, which is 1.6 percent of income. Highest income fifth, 470 dollars, which is 0.3 percent of income.

Estimated annual public health costs attributable to sugary drink consumption: 41 million dollars.

Neighboring jurisdictions with no such tax lie within 6 miles of about 35 percent of the city's population.

Show a top-score response

The tax is justified in principle by a genuine negative externality, is set well below the level the externality data implies, is regressive in its burden, and is exposed to avoidance by a third of the population. I would recommend proceeding with it, at this rate rather than a higher one, with the revenue directed to offset the regressivity, and I would want consumption data from comparable cities before committing.

Start with the market failure, because without one there is no efficiency case. Source B puts public health costs attributable to consumption at 41 million dollars annually. If those costs fall on taxpayers generally through public health spending rather than on the consumer at the point of purchase, the private cost of a drink is below its social cost, so the market produces more than is efficient. That is a textbook negative externality and a corrective tax is the standard remedy.

Now test whether the proposed tax is correctly sized, which is the question most answers skip. A corrective tax should equal the externality. Revenue is projected at 18 million against attributable costs of 41 million, so the tax recovers under half the external cost. Since a tax at the right level would leave consumption efficient, this one leaves the market still overproducing, and the efficiency argument therefore supports a higher rate than proposed rather than this one.

The elasticity figure of 1.2 is the most useful number in the sources. Demand is elastic, so a price rise reduces quantity more than proportionally, which means the tax will be effective at its stated aim of reducing consumption. It also means revenue will be lower than a naive calculation suggests, since the base shrinks, and the 18 million estimate should be treated as optimistic unless it already accounts for this.

Elasticity also determines who bears the burden, which does not depend on the tax being levied on distributors. With elastic demand, consumers leave when the price rises, so distributors and retailers cannot pass the whole tax on and will absorb a significant share. That is worth stating precisely, because the proposal's framing implies the burden falls on distributors and the incidence is in fact shared.

The equity analysis is where the proposal is weakest. The lowest income fifth spends 310 dollars a year on these drinks, which is 1.6 percent of income, and the highest spends 470 dollars, which is 0.3 percent. A tax proportional to spending therefore takes over five times as large a share of income from the poorest households. The tax is clearly regressive, and that is not a side effect but a direct consequence of the consumption pattern.

Two points complicate that objection in the proposal's favor. Because demand is elastic, the poorest households can reduce consumption and avoid much of the burden, and if the health benefit is concentrated among heavy consumers then the benefits are progressive even where the payments are regressive. And the revenue is earmarked for school nutrition programs, which are likely to benefit lower-income households more than others, so the net distributional effect depends on the spending as much as on the tax.

The avoidance problem is the most serious practical objection. With 35 percent of the population within 6 miles of an untaxed jurisdiction, a substantial share of consumption can simply relocate. That produces the worst possible outcome on both stated aims: no reduction in consumption for those who shop across the line, no revenue from them, and a loss of sales for city retailers who face the cost without the policy benefit. It also means the elasticity of 1.2 may be measuring substitution to other stores rather than reduced consumption, which would make the health case much weaker.

Weighing these, I recommend proceeding. The externality is real and documented, the tax is below rather than above the corrective level so the risk of overshooting is small, the elasticity indicates it will reduce consumption, and the earmark provides a mechanism to offset the regressivity. I would not recommend raising the rate toward the 41 million figure while the avoidance exposure is this large, since a higher rate increases the incentive to cross the boundary without increasing the health effect.

The evidence that would change my recommendation is specific. Consumption data from comparable cities distinguishing genuine reduction from cross-border shopping would settle the central uncertainty: if most of the elasticity is substitution between stores rather than reduced intake, the health case collapses and only the revenue case remains. I would also want the 41 million estimate's methodology, since attributing disease costs to one product involves assumptions that can move the figure substantially, and it is carrying most of the weight in the efficiency argument.

Policy analysis 2 · 60 minutes

Using both sources, evaluate a proposed rent cap and recommend a course of action.

Directions

You have sixty minutes. Work out the shortage from the data before arguing, and identify winners and losers by name.

Compare the proposal with at least one alternative policy aimed at the same problem.

Source A: the proposal

Source: constructed policy document for a hypothetical city council.

Rents on all existing one-bedroom units would be capped at 900 dollars per month. The stated aims are to prevent displacement of long-term residents, to keep the city accessible to lower-income workers, and to slow the rise in homelessness. New construction would be exempt for fifteen years.

Source B: the housing market data

Source: constructed dataset for the same hypothetical city.

One-bedroom units: quantity demanded and supplied at each monthly rent.
700 dollars: 62,000 demanded, 24,000 supplied
900 dollars: 54,000 demanded, 31,000 supplied
1,150 dollars: 45,000 demanded, 45,000 supplied
1,400 dollars: 37,000 demanded, 58,000 supplied

Median renter income: 42,000 dollars. Units built in the last five years: 3,100. Average time from permit to occupancy: 4 years.

Show a top-score response

The cap would produce a shortage of 23,000 units, would benefit 31,000 existing tenants substantially, and would leave 23,000 households worse off than under the current market, including most of the lower-income workers the policy names as its beneficiaries. I would recommend against it in this form, and recommend instead a combination of targeted subsidy and supply measures, while acknowledging that the alternative is slower and the problem is immediate.

Start with the arithmetic. Equilibrium is at 1,150 dollars, where 45,000 units are demanded and supplied. At the proposed cap of 900, quantity demanded rises to 54,000 and quantity supplied falls to 31,000. The shortage is 23,000 units, and it is worth breaking into its two halves because they behave differently.

Demand rose by 9,000, from 45,000 to 54,000, as the lower rent attracts households who would not have sought a unit at 1,150. Supply fell by 14,000, from 45,000 to 31,000, as owners convert units to other uses, sell to owner-occupiers, or withdraw them. The supply half is larger, and it is the half that worsens over time as buildings age and are not maintained or replaced.

Now name the winners and losers, which the proposal does not do. The 31,000 tenants who hold a unit save 250 dollars a month, or 3,000 a year, which against a median renter income of 42,000 is a gain of about 7 percent of income. That is a substantial and real benefit to real households and should not be minimized.

The losers are the 14,000 households that would have been housed at 1,150 and now are not, plus the 9,000 additional seekers drawn in who also go without. Landlords lose 250 per month on each of the units still rented. The policy transfers value from entrants and owners to incumbents.

The decisive problem is who ends up in each group. With price unable to allocate the 31,000 units, allocation happens by waiting lists, landlord selection, informal payments and personal connections. Every one of those mechanisms favors people already in the city with established relationships and available cash. The policy's stated aim is to keep the city accessible to lower-income workers, and non-price rationing systematically disadvantages exactly the newcomers and low-income entrants it is meant to protect.

The proposal's exemption for new construction is well designed and does not solve the problem. Exempting new build for fifteen years removes the obvious disincentive to construction, which is a genuine improvement on a blanket cap. But source B shows only 3,100 units built in five years and a four-year permit-to-occupancy period, so new supply cannot offset a 23,000 unit shortage on any relevant timescale. The exemption limits the damage rather than preventing it.

The alternative worth comparing is a targeted subsidy: a housing allowance paid to households below an income threshold, letting them rent at the market price of 1,150. Its advantages are that it does not reduce supply, since landlords still receive the market rent, that it can be targeted by income rather than by whoever holds a lease, and that it does not create a shortage requiring rationing.

Its disadvantages are equally real and should be stated. It costs public money where a cap costs the budget nothing directly, the cost is visible and must be voted on annually, and because it raises demand without raising supply, part of the subsidy is captured by landlords through higher rents. With supply as inelastic as this data implies, that capture could be substantial.

A second alternative is supply-side: relaxing zoning, reducing the four-year approval timeline and funding construction directly. This addresses the actual cause, since the underlying problem visible in the data is that 45,000 units are supplied where 62,000 would be demanded at 700 dollars. Its fatal weakness for this decision is the timescale: four years from permit to occupancy means no relief for the households facing displacement now, and the policy is responding to an immediate problem.

My recommendation is against the cap as proposed, and for a targeted allowance combined with supply reform, accepting that this costs money and works more slowly. The reasoning is that the cap achieves its distributional aim only for those who already hold a lease, creates a shortage that grows over time, and allocates by mechanisms that disadvantage its intended beneficiaries.

I should state what would change my view. If the elasticity of supply were much lower than this data implies, perhaps because most units are owned by landlords with no alternative use for the buildings, the supply loss would be smaller and the cap's case would be considerably stronger. Evidence on what the 14,000 withdrawn units would actually become is the single most useful thing I could obtain, and it is knowable from the experience of comparable cities.

Argument 1 · 45 minutes

Can economics tell us what policy a government should adopt? Take a position and defend it.

Directions

You have forty-five minutes. State your claim in the first paragraph and name the warrant connecting your evidence to it.

Address the strongest version of the opposing view. Use at least three examples from this course.

Show a top-score response

Economics cannot tell a government what policy to adopt, and it can do something more useful than most people expect: establish exactly what each option costs, who pays it, and what evidence would settle the remaining disputes. The warrant is that a policy choice requires both a prediction about consequences and a judgment about which consequences are acceptable, and economics is a method for the first and has no tools for the second.

Rent control demonstrates both halves. The analysis establishes that a binding cap at 900 dollars where equilibrium is 1,150 produces a shortage of 23,000 units, that 9,000 of that is extra demand and 14,000 is withdrawn supply, that 31,000 tenants gain 3,000 dollars a year each, and that allocation shifts to waiting lists and personal connections which favor incumbents. Every one of those claims is checkable and none of them is a matter of opinion.

What the analysis cannot do is say whether 31,000 households saving 7 percent of their income is worth 23,000 households going without. That is a judgment about how to weigh the interests of incumbents against entrants, and no amount of further data produces it. A student who concludes "therefore rent control is bad" has smuggled in a value premise without stating it.

The minimum wage example makes the same point with a different structure. The data showed total hours in the affected county falling about 12.4 percent while job counts fell 3 percent, and a worker keeping their hours gaining 13 percent rather than the headline 25. Economics can establish those magnitudes and can identify the confounders, such as anticipatory adjustment and the possibility that the counties were on different trajectories. It cannot say whether higher pay for those who keep full hours justifies fewer hours for others.

Comparative advantage is the sharpest case, because it is mathematically certain and still settles nothing on its own. The theory proves that specialization raises total output and that the winners could in principle compensate the losers and remain better off. It says nothing about whether compensation occurs, and in practice it usually does not. A potential improvement is not an actual one, and the gap between them is a political question that the theorem cannot reach.

The strongest objection to my position is that this understates what economics establishes, because some options are worse on every dimension and can be ruled out without any value judgment. If a policy makes everyone worse off, no weighting of interests rescues it, so economics has settled the question. This deserves to be taken seriously because such cases exist.

The objection is correct and narrower than it appears. Genuine cases where nobody gains are rare, because most policies create winners even when they are inefficient overall: a tariff that reduces national income still benefits the protected industry, and a monopoly that destroys value still benefits the monopolist. The transfer half of almost every policy means someone is better off, so the no-loser test almost never applies to real disputes.

A better version of the objection is that economics narrows the range of defensible positions substantially. That is right and is part of my claim rather than against it. Establishing that a rent cap produces a 23,000 unit shortage removes the position that it has no supply effect, and establishing that a sugar tax recovers 18 million against 41 million of external cost removes the position that it overcorrects. Ruling out claims about facts is exactly what a method for predicting consequences should do.

There is a further contribution worth naming, which is identifying what evidence would settle a dispute. In the sugar tax case the decisive unknown is whether the measured elasticity reflects reduced consumption or cross-border shopping, and knowing that converts an argument about values into an answerable empirical question. Locating the real disagreement is itself a service.

The position I hold is therefore that economics is necessary and insufficient. It should be demanded before any policy decision, because deciding without knowing the consequences is indefensible, and it should not be treated as producing the decision, because the final step requires saying whose interests count and by how much. An economist who presents a recommendation as a technical result has stopped doing economics and has not announced it.

Argument 2 · 45 minutes

Should government intervene whenever a market fails? Take a position and defend it.

Directions

You have forty-five minutes. Take a clear position rather than surveying both sides. Name your warrant and address the strongest objection.

Use at least three examples from this course.

Show a top-score response

Government should not intervene whenever a market fails. It should intervene when a specific intervention can be expected to produce a better outcome than the market failure it replaces, which is a different and much harder test. The warrant is that the relevant comparison is between two imperfect real arrangements, and identifying a defect in one of them establishes nothing about the other.

The logical point is simple and constantly ignored. Showing that a market outcome is inefficient shows that it falls short of an ideal. Intervention is not the ideal; it is another real process, carried out by agencies with limited information, political incentives and their own characteristic failures. Comparing a flawed market with a perfect government guarantees the conclusion before any evidence is examined.

Government failure is not a theoretical worry. Regulatory capture occurs because the industry being regulated has concentrated interests and the public has diffuse ones, which is the same asymmetry that explains why trade restrictions are politically popular despite the aggregate case against them. The side with everything at stake organizes and the side with a little at stake does not, and regulators are staffed and lobbied accordingly.

The information problem is equally real. The strongest argument for markets is that a price aggregates knowledge dispersed among millions of people: when a harvest fails, the grain price rises and bakers economize and farmers plant more without anyone knowing why. An intervention has to substitute for that mechanism using knowledge that is largely local, unwritten and constantly changing, which is exactly what central planning could not do.

The sugar tax shows the practical version. The efficiency case rests on a 41 million dollar estimate of attributable health costs, and a corrective tax must be set at the size of the externality to be correct. Valuing health effects involves contested assumptions that can move that figure substantially, so the remedy replaces a known distortion with an error of unknown size. That is an improvement only if the estimate is reasonably good, and it cannot be assumed.

The strongest objection is that this reasoning can justify doing nothing indefinitely, because government failure can always be asserted and is never fully measurable. Applied consistently it would have blocked food inspection, deposit insurance and pollution regulation, all of which worked, and it conveniently favors whoever benefits from the existing arrangement. That is a serious charge and it is partly right.

Deposit insurance is the case that answers it and shows what a good intervention looks like. The Depression's monetary collapse happened because deposits are money and failing banks destroyed them, and the failures were driven by runs in which withdrawing was rational for each individual depositor even when the bank was sound. Deposit insurance removes that individual incentive precisely, and no comparable banking panic has occurred since.

What made it work is instructive. The mechanism of the failure was identified exactly, the remedy attacked that mechanism rather than its symptoms, and success was observable. Those three features are the test my position proposes, and they are demanding without being impossible. Public goods pass it too: flood defenses cannot be provided to one house without protecting the neighbors, so nobody funds them voluntarily and collective provision is the only option that works at all.

The test also rules things in that a market-first instinct would reject. Where free riding means nothing is provided rather than too little, there is no market outcome to defend, so the comparison is between an intervention and nothing. That is a much easier case than a corrective tax, where a functioning market is being adjusted by an amount nobody can measure precisely.

The position is therefore a test rather than a presumption in either direction: identify the mechanism of the failure, specify an intervention that attacks that mechanism, and predict how it could itself fail. Rent control fails this test, since it attacks the price rather than the supply shortage that causes it. Deposit insurance passes it. Applying the test case by case is more work than either general position and is the only approach the evidence supports.

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