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AP Macroeconomics Cram Sheet

Everything on the AP Macro exam in one place: the 6 units and their exam weights, the highest-yield concepts, every formula, the graphs you must be able to draw, and the top mistake to avoid on each topic. The exam is 60 multiple-choice questions and 3 free-response questions in 2 hours 10 minutes. Print this page or bookmark it for the night before.

How the exam breaks down

Highest-yield
  • Calculate opportunity cost from output and input tables without hesitation.
  • Determine terms of trade that benefit both countries (between the two opportunity costs).
  • Distinguish a movement along the PPC (trade-off) from a shift of the PPC (growth).
  • Refresh supply/demand shifts, macro reuses them inside AD-AS and foreign exchange graphs.
Topics and the mistake to avoid
1.1 Scarcity
Watch out: Treating scarcity and shortage as synonyms. Scarcity is the universal, permanent condition of limited resources; a shortage is a temporary gap between quantity demanded and quantity supplied at a specific price.
1.2 Opportunity Cost and the Production Possibilities Curve (PPC)
Watch out: Reading a bowed-out PPC as constant opportunity cost. Concave-to-the-origin means opportunity cost increases as you produce more of a good; only a straight-line PPC has constant opportunity cost.
1.3 Comparative Advantage and Gains from Trade
Watch out: Assigning comparative advantage to whoever produces the most, that is absolute advantage. Comparative advantage always goes to the producer with the lower opportunity cost, so compute the per-unit cost table first.
1.4 Demand
Watch out: Shifting the demand curve when the good's own price changes. Own-price changes move you along the curve (change in quantity demanded); only the non-price determinants shift the curve itself.
1.5 Supply
Watch out: Writing that a higher market price 'increases supply.' A higher price increases quantity supplied along a fixed curve; supply itself increases only when a determinant like input costs or technology shifts the curve right.
1.6 Market Equilibrium, Disequilibrium, and Changes in Equilibrium
Watch out: Giving a definite answer for both price and quantity in a double-shift question. When both curves move, one of the two is indeterminate unless the question states the relative sizes of the shifts.
Highest-yield
  • Know what counts in GDP (final goods, produced this year, inside the country) and what does not (transfers, used goods, intermediate goods).
  • Classify unemployment as frictional, structural, or cyclical, the natural rate includes only the first two.
  • Calculate inflation with CPI and convert nominal to real using the deflator or real = nominal ÷ price index × 100.
  • Label the business cycle phases (expansion, peak, contraction/recession, trough) and tie them to output gaps.
Topics and the mistake to avoid
2.1 The Circular Flow and GDP
Watch out: Counting transfer payments, used-good sales, or stock purchases in GDP. GDP only counts current production of final goods and services, transfers and financial transactions produce nothing new.
2.2 Limitations of GDP
Watch out: Claiming the country with the higher total GDP has the higher standard of living. Living-standard comparisons need per-capita GDP at minimum, and even that ignores distribution, leisure, and nonmarket production.
2.3 Unemployment
Watch out: Counting discouraged workers as unemployed. They stopped actively searching, so they leave the labor force, which is why the unemployment rate can fall even as the economy gets worse.
2.4 Price Indices and Inflation
Watch out: Reporting the CPI level as the inflation rate. A CPI of 130 does not mean 30% inflation this year, the inflation rate is the percentage CHANGE between two index values, e.g. from 125 to 130 it is 4%.
2.5 Costs of Inflation
Watch out: Reversing the winners: saying lenders gain from unanticipated inflation. Lenders locked into fixed nominal rates get repaid in cheaper dollars, borrowers gain, lenders and savers lose.
2.6 Real v. Nominal GDP
Watch out: Using nominal GDP growth as evidence the economy produced more. Nominal GDP can rise on inflation alone, deflate it first (real = nominal ÷ price index × 100) before making any claim about output.
2.7 Business Cycles
Watch out: Calling any slowdown a recession. If real GDP grows 3% one year and 1% the next, the economy is still expanding, a recession requires real GDP to actually fall.
Highest-yield
  • Draw the full AD-AS graph with LRAS at full employment; show recessionary and inflationary gaps.
  • Compute multipliers: spending = 1/MPS, tax = −MPC/MPS; know why the tax multiplier is smaller.
  • Trace fiscal policy: government spending or tax changes → AD shifts → output, price level, unemployment.
  • Explain self-correction through wage adjustment shifting SRAS (see our SRAS vs LRAS guide).
Topics and the mistake to avoid
3.1 Aggregate Demand (AD)
Watch out: Explaining AD's downward slope like a single-market demand curve ('people buy substitutes'). At the economy level there is no substitute for all output, you must cite the wealth, interest-rate, or net-export effect.
3.2 Multipliers
Watch out: Using the spending multiplier for a tax change. The tax multiplier is −MPC/MPS, negative and one smaller in absolute value, because part of any tax cut leaks into saving before it is ever spent.
3.3 Short-Run Aggregate Supply (SRAS)
Watch out: Shifting SRAS when the price level changes. The price level moves the economy along the SRAS curve; only cost-side changes, input prices, expectations, productivity, policy, shift the curve itself.
3.4 Long-Run Aggregate Supply (LRAS)
Watch out: Drawing LRAS upward-sloping or shifting it in response to price-level or AD changes. LRAS is vertical at potential output and moves only when resources, capital, or technology change, the same forces that shift the PPC.
3.5 Equilibrium in the Aggregate Demand–Aggregate Supply (AD–AS) Model
Watch out: Marking equilibrium output and full-employment output at the same spot when the question describes a gap. If output is below (or above) potential, current equilibrium must sit visibly left (or right) of LRAS on the horizontal axis.
3.6 Changes in the AD–AS Model in the Short Run
Watch out: Explaining stagflation with an AD shift. AD shifts move output and the price level in the same direction, only a leftward SRAS shift produces the rising-prices-plus-falling-output combination.
3.7 Long-Run Self-Adjustment
Watch out: Showing self-adjustment by shifting AD or LRAS. Self-correction works entirely through nominal wages changing production costs, it is always the SRAS curve that shifts back toward full employment.
3.8 Fiscal Policy
Watch out: Mixing fiscal and monetary tools, writing that the government 'lowers interest rates' or the Fed 'cuts taxes.' Fiscal policy is spending and taxes by Congress; interest rates and the money supply belong to the central bank.
3.9 Automatic Stabilizers
Watch out: Calling a new stimulus bill an automatic stabilizer. Automatic means no new legislation, the effect flows from existing tax brackets and transfer rules. A stimulus package Congress passes is discretionary fiscal policy.

Unit 4: Financial Sector

18–23% of the exam
Highest-yield
  • Money market vs loanable funds: money market uses the NOMINAL rate and money supply is vertical; loanable funds uses the REAL rate and is driven by saving and borrowing.
  • Trace expansionary monetary policy: Fed buys bonds → money supply right → nominal rate falls → investment rises → AD shifts right.
  • Use the money multiplier (1/reserve ratio) on deposit-expansion questions, and know bond prices move inversely with interest rates.
  • Apply the Fisher equation: real rate ≈ nominal rate − expected inflation.
Topics and the mistake to avoid
4.1 Financial Assets
Watch out: Saying bond prices and interest rates rise together. They move INVERSELY: when interest rates rise, previously issued bonds with lower fixed payments lose value.
4.2 Nominal v. Real Interest Rates
Watch out: Flipping the Fisher equation, the real rate is nominal MINUS expected inflation. If a bank charges 6% and expected inflation is 4%, the lender's expected real return is only 2%.
4.3 Definition, Measurement, and Functions of Money
Watch out: Counting credit cards as money. A credit card creates a loan you must repay, it is not a store of value and appears in neither M1 nor M2.
4.4 Banking and the Expansion of the Money Supply
Watch out: Multiplying the entire deposit by the money multiplier. Maximum money creation starts from EXCESS reserves: a $1,000 cash deposit with rr = 10% creates at most $900 × 10 = $9,000 of new money, the original $1,000 was already money.
4.5 The Money Market
Watch out: Labeling the money market's y-axis as the real interest rate, that belongs to the loanable funds market. The money market determines the NOMINAL rate.
4.6 Monetary Policy
Watch out: Reversing open market operations. The Fed BUYS bonds to expand the money supply and lower interest rates, and SELLS bonds to contract it, 'buy big, sell small.'
4.7 The Loanable Funds Market
Watch out: Labeling the loanable funds y-axis 'nominal interest rate.' Loanable funds determines the REAL rate, the nominal rate belongs to the money market.
Highest-yield
  • Map AD-AS to the Phillips curve: an AD shift moves you along the SRPC; an SRAS shift moves the SRPC itself.
  • Draw crowding out: deficits raise demand for loanable funds → real rate rises → private investment falls.
  • Know the long-run: money growth raises inflation, not output; the LR Phillips curve is vertical at the natural rate.
  • Tie growth to its sources: more capital (physical and human), more labor, and better technology shift LRAS right.
Topics and the mistake to avoid
5.1 Fiscal and Monetary Policy Actions in the Short Run
Watch out: Assuming combined expansionary fiscal and monetary policy must raise interest rates. Fiscal expansion pushes rates up, monetary expansion pushes them down, the interest-rate effect is indeterminate, while output unambiguously rises.
5.2 The Phillips Curve
Watch out: Shifting the SRPC when aggregate demand changes. A demand shift is a movement ALONG the short-run Phillips curve; only supply shocks or changed inflation expectations shift the curve itself.
5.3 Money Growth and Inflation
Watch out: Claiming a money supply increase raises real output in the long run. Money is neutral in the long run, it raises the price level while real GDP returns to potential.
5.4 Government Deficits and the National Debt
Watch out: Using 'deficit' and 'debt' interchangeably. The deficit is a one-year FLOW; the debt is the accumulated STOCK, a smaller deficit still grows the debt.
5.5 Crowding Out
Watch out: Drawing crowding out in the money market. Government borrowing works through the LOANABLE FUNDS market and the real interest rate, the Fed hasn't changed the money supply.
5.6 Economic Growth
Watch out: Calling a recovery from recession 'economic growth.' Returning to potential output is a movement back to the curve; growth is an outward shift OF the PPC (a rightward LRAS shift).
5.7 Public Policy and Economic Growth
Watch out: Treating a demand stimulus as a growth policy. Growth policies raise the economy's capacity and shift LRAS; AD shifts only move output temporarily relative to potential.
Highest-yield
  • Draw the FOREX graph: demand and supply for a currency, with the exchange rate on the vertical axis.
  • Trace the chain: higher U.S. interest rates → foreign capital inflows → dollar demand rises → dollar appreciates → U.S. net exports fall.
  • Remember appreciation makes exports more expensive to foreigners; depreciation boosts net exports.
  • Know that the current account and the capital/financial account mirror each other.
Topics and the mistake to avoid
6.1 Balance of Payments Accounts
Watch out: Putting foreign purchases of U.S. stocks or bonds in the current account. Asset purchases belong in the capital and financial account; only goods, services, investment income, and transfers go in the current account.
6.2 Exchange Rates
Watch out: Misreading a rise in the dollars-per-euro rate as dollar appreciation. If it takes MORE dollars to buy a euro, the dollar has DEPRECIATED and the euro has appreciated.
6.3 The Foreign Exchange Market
Watch out: Shifting the DEMAND for dollars when Americans buy more imports. Americans supply dollars to obtain foreign currency, that shifts the dollar SUPPLY curve right, depreciating the dollar.
6.4 Effect of Changes in Policies and Economic Conditions on the Foreign Exchange Market
Watch out: Forgetting everything is RELATIVE. A rate hike abroad with U.S. rates unchanged still depreciates the dollar, what matters is the interest-rate differential, not the U.S. level alone.
6.5 Changes in the Foreign Exchange Market and Net Exports
Watch out: Reversing the sign: a WEAKER currency helps net exports. Depreciation makes your goods cheaper abroad, so exports rise, imports fall, and net exports increase.
6.6 Real Interest Rates and International Capital Flows
Watch out: Comparing nominal rates across countries. Capital chases the REAL interest-rate differential, a high nominal rate paired with even higher inflation repels capital rather than attracting it.

Formulas you must know

GDP
GDP = C + I + G + (X − M) where Xn = X − M (net exports)
Real GDP
Real GDP = (Nominal GDP ÷ GDP deflator) × 100
GDP Deflator
GDP deflator = (Nominal GDP ÷ Real GDP) × 100
Inflation Rate
Inflation rate = [(CPI₂ − CPI₁) ÷ CPI₁] × 100
Unemployment Rate
Unemployment rate = (Unemployed ÷ Labor force) × 100 | Labor force = Employed + Unemployed
Spending Multiplier
Spending multiplier = 1 ÷ (1 − MPC) = 1 ÷ MPS | ΔGDP = multiplier × Δspending | Tax multiplier = −MPC ÷ MPS
CPI
CPI = (cost of basket in current year ÷ cost of basket in base year) × 100
Real Interest Rate
Real interest rate ≈ Nominal interest rate − Inflation rate
MPC
MPC = ΔC ÷ ΔY | MPS = 1 − MPC | spending multiplier = 1 ÷ MPS | tax multiplier = −MPC ÷ MPS
Money Multiplier
Money multiplier = 1 ÷ required reserve ratio | Δmoney supply = money multiplier × excess reserves
Comparative Advantage
Opportunity cost of 1 unit of Good A = (units of Good B given up) ÷ (units of Good A gained). Lower ratio = comparative advantage.
Tax Multiplier
Tax multiplier = −MPC ÷ (1 − MPC) = −MPC ÷ MPS | ΔGDP = tax multiplier × Δtaxes
MPC & MPS
MPC = ΔC ÷ ΔY | MPS = ΔS ÷ ΔY | MPC + MPS = 1
Labor Force Participation
LFPR = (Labor force ÷ working-age population) × 100 | Labor force = employed + unemployed
Velocity of Money
M × V = P × Q (quantity theory of money), so V = (P × Q) ÷ M = nominal GDP ÷ money supply
Opportunity Cost
Per-unit opportunity cost of good A = units of good B given up ÷ units of good A gained
GDP per Capita
GDP per capita = Real GDP ÷ Population
Economic Growth Rate
Growth rate (%) = ((Real GDP in year 2 − Real GDP in year 1) ÷ Real GDP in year 1) × 100
Percentage Change
Percentage change = ((New value − Old value) ÷ Old value) × 100
Balanced Budget Multiplier
Balanced budget multiplier = spending multiplier + tax multiplier = 1 ÷ (1 − MPC) + (−MPC ÷ (1 − MPC)) = (1 − MPC) ÷ (1 − MPC) = 1 | ΔGDP = 1 × Δspending (when Δspending = Δtaxes)
Present Value
PV = FV ÷ (1 + r)ⁿ where r = interest (discount) rate as a decimal, n = number of years
Recessionary Gap
Recessionary gap = Potential real GDP − Actual real GDP | As a percent of potential: [(Potential − Actual) ÷ Potential] × 100
Inflationary Gap
Inflationary gap = Actual real GDP − Potential real GDP | Required spending cut = Gap ÷ Spending multiplier
Output Gap
Output gap = Actual real GDP − Potential real GDP | Output gap (%) = [(Actual − Potential) ÷ Potential] × 100
Budget Deficit
Budget deficit = Government outlays − Government revenue (one year) | Budget surplus = Revenue − Outlays | New debt = Old debt + this year's deficit
Debt-to-GDP Ratio
Debt-to-GDP ratio = (Total government debt ÷ Nominal GDP) × 100
Required Spending Change
Required Δspending = Gap ÷ Spending multiplier where Spending multiplier = 1 ÷ (1 − MPC) = 1 ÷ MPS | Rearranged from ΔGDP = Multiplier × Δspending
Required Tax Change
Required Δtaxes = Gap ÷ Tax multiplier where Tax multiplier = −MPC ÷ MPS | A negative Δtaxes is a tax cut | Required tax change = Required spending change ÷ MPC
Labor Productivity
Labor productivity = Real output ÷ Labor hours
Gains From Trade
Gains from trade = Consumption with trade − Production without trade (computed per good, per country)
Terms of Trade Range
Lower opportunity cost of 1 X < Terms of trade for 1 X < Higher opportunity cost of 1 X (both bounds measured in units of good Y)
Compound Growth
End value = Start value × (1 + g)ⁿ where g = growth rate as a decimal, n = number of periods. Average growth rate = (End ÷ Start) raised to the power (1 ÷ n), minus 1
Future Value
FV = PV × (1 + r)ⁿ where r = interest rate as a decimal, n = number of years
Expected Value
Expected value = Σ (probability of an outcome × payoff of that outcome), where the probabilities must sum to 1
Real Wage
Real wage = (Nominal wage ÷ Price index) × 100
Rule of 70
Years to double = 70 ÷ annual growth rate (in percent)
Misery Index
Misery index = Inflation rate (%) + Unemployment rate (%)
Natural Rate
Natural rate = Frictional rate + Structural rate | Natural rate = Actual unemployment rate − Cyclical rate
Cyclical Unemployment
Cyclical unemployment rate = Actual unemployment rate − Natural rate of unemployment
Employment-Population Ratio
Employment-population ratio = (Employed ÷ Civilian noninstitutional population age 16+) × 100
Cost-of-Living Adjustment
COLA = Benefit × Inflation rate | New benefit = Benefit + COLA = Benefit × (1 + Inflation rate)
Currency Conversion
Amount in target currency = amount in starting currency × (target currency per 1 unit of starting currency) Reverse rate = 1 ÷ original rate Dividing by a rate is the same as multiplying by its reciprocal
Currency Appreciation
Appreciation % = [(new rate − old rate) ÷ old rate] × 100 The rate must be quoted as foreign currency per 1 unit of the currency you are tracking A positive result is appreciation, a negative result is depreciation
Currency Depreciation
Depreciation % = [(new rate − old rate) ÷ old rate] × 100 Rate = foreign currency per 1 unit of the currency you are tracking A negative result is depreciation, and its absolute size is the percentage fall
Purchasing Power Parity
PPP exchange rate = price of the basket in currency A ÷ price of the same basket in currency B The result is units of currency A per 1 unit of currency B Overvaluation or undervaluation % = (market rate − PPP rate) ÷ PPP rate × 100
Real Exchange Rate
Real exchange rate = nominal exchange rate × (domestic price level ÷ foreign price level) Convention used here: the nominal rate is quoted as foreign currency per 1 unit of domestic currency A rise means domestic goods have become relatively more expensive
Current Account
Current account = balance on goods and services + net primary income + net secondary income Balance on goods and services = exports − imports Net primary income = investment income and worker pay received − paid out Net secondary income = transfers received − transfers sent
Terms of Trade
Terms of trade = (index of export prices ÷ index of import prices) × 100 Above 100 means export prices have risen faster than import prices since the base year Percent change = (new index − old index) ÷ old index × 100
Nominal GDP
Nominal GDP = sum of (current-year price × current-year quantity) | Nominal GDP = C + I + G + (X − M) at current prices
Net Exports
Net exports (Xn) = exports (X) − imports (M) | GDP = C + I + G + Xn
Disposable Income
Disposable income (DI) = personal income − personal taxes | DI = consumption (C) + saving (S)
National Income
National income (NI) = compensation of employees + rental income + net interest + proprietors' income + corporate profits
Net Domestic Product
NDP = GDP − depreciation (consumption of fixed capital) | Net investment = gross investment − depreciation
Value Added
Value added = value of a firm's sales − cost of intermediate goods purchased | GDP = sum of value added at every stage
GDP Income Approach
GDP = wages + rent + interest + profit + depreciation + taxes on production and imports (plus a statistical discrepancy)
Required Reserves
Required reserves = required reserve ratio × checkable deposits
Excess Reserves
Excess reserves = total reserves − required reserves | required reserves = required reserve ratio × checkable deposits
Deposit Expansion
Maximum deposit expansion = excess reserves × (1 ÷ required reserve ratio)
Nominal Interest Rate
Nominal interest rate ≈ real interest rate + expected inflation rate
Fisher Equation
Nominal ≈ real + expected inflation | real ≈ nominal − expected inflation | expected inflation ≈ nominal − real
Equation of Exchange
M × V = P × Q (P × Q = nominal GDP) | growth form: %ΔM + %ΔV ≈ %ΔP + %ΔQ
M1 and M2
M1 = currency in circulation + checkable deposits + traveler's checks | M2 = M1 + savings deposits + small time deposits + retail money market funds
National Debt
National debt = Starting debt + Sum of past deficits − Sum of past surpluses | Yearly interest cost = Debt × Interest rate
Private Saving
Private saving = Disposable income − Consumption = Y − T − C | Public saving = T − G | National saving = Private saving + Public saving = Y − C − G
GNP
GNP = GDP + net foreign factor income | Net foreign factor income = income residents earn abroad − income foreigners earn domestically
Market Capitalization
Market cap = share price × shares outstanding | Percent change in market cap = percent change in share price, when the share count is unchanged
Capital Gain
Capital gain = selling price − purchase price (cost basis) | Percent return = (gain ÷ purchase price) × 100 | After-tax gain = gain × (1 − tax rate)
P/E Ratio
P/E ratio = share price ÷ earnings per share (EPS) | EPS = net income ÷ shares outstanding | Earnings yield = (EPS ÷ share price) × 100
Growth Accounting
%ΔY = %ΔA + α(%ΔK) + (1 − α)(%ΔL) α = capital's share of income, so labor's share is 1 − α Solow residual: %ΔA = %ΔY − α(%ΔK) − (1 − α)(%ΔL)
Marshall-Lerner Condition
Marshall-Lerner condition: |εx| + |εm| > 1 Change in export value = |εx| × depreciation Change in import value = (1 − |εm|) × depreciation Change in the trade balance ≈ trade value × depreciation × (|εx| + |εm| − 1)
Twin Deficits
(S − I) + (T − G) = NX S = private saving, I = domestic investment, T = net tax revenue, G = government spending, NX = net exports National saving = S + (T − G), so NX = national saving − I
Monetary Base
Monetary base (MB) = currency in circulation + bank reserves | maximum checkable deposits = bank reserves ÷ required reserve ratio | maximum money supply (M1) = currency in circulation + maximum checkable deposits | deposit multiplier = 1 ÷ required reserve ratio
Real Money Balances
Real money balances = M ÷ P | with a price index based at 100: real balances = (M ÷ price index) × 100
Taylor Rule
i = r* + π + 0.5(π − π*) + 0.5(output gap) | r* is the neutral real rate, π* is the inflation target
Yield to Maturity
Approximate YTM = [C + (F − P) ÷ n] ÷ [(F + P) ÷ 2] | exact YTM = the discount rate that makes the present value of every coupon plus the face value equal the price
Term Structure
(1 + long rate)ⁿ = (1 + r₁) × (1 + r₂) × ... × (1 + rₙ) | n-year yield = [(1 + r₁)(1 + r₂)...(1 + rₙ)]^(1 ÷ n) − 1
Default Risk Premium
Default risk premium = Risky bond yield − Risk-free yield (same maturity) | Break-even default rate = Premium ÷ (1 − Recovery rate)
Leverage Ratio
Leverage ratio = Assets ÷ Equity | Wipeout threshold = Equity ÷ Assets = 1 ÷ leverage ratio
PMI
PMI = (% reporting better) + (0.5 × % reporting no change) | equivalently PMI = 50 + 0.5 × (% better − % worse)
Core Inflation
Core inflation rate = ((core index now − core index a year earlier) ÷ core index a year earlier) × 100
Capacity Utilization
Capacity utilization rate = (actual output ÷ sustainable maximum output) × 100 | Idle capacity = sustainable maximum output − actual output
Inventory-to-Sales
Inventory-to-sales ratio = inventories ÷ monthly sales | Days of sales covered = ratio × 30
Sacrifice Ratio
Sacrifice ratio = cumulative percent of one year's output lost ÷ percentage-point fall in inflation
Index Number
Index number = (Value in the period ÷ Value in the base period) × 100
Nominal Value
Nominal value = Real value × (Price index ÷ 100) | Real value = Nominal value ÷ (Price index ÷ 100)
Adaptive Expectations
Expected inflation next period = Expected inflation now + a × (Actual inflation now − Expected inflation now), with a between 0 and 1
Arbitrage Profit
Arbitrage profit = (selling price − buying price) × quantity − transaction costs Break-even quantity = transaction costs ÷ (selling price − buying price)
Hedge Fund Fees
Management fee = management fee rate × assets | Performance fee = performance fee rate × gross gain | Investor's net gain = gross gain − management fee − performance fee
Export Subsidy
Domestic price with the subsidy = world price + subsidy per unit | Exports = domestic quantity supplied − domestic quantity demanded, both read at that price | Government cost = subsidy per unit × exports after the subsidy | Net welfare loss = ½ × subsidy × rise in domestic output + ½ × subsidy × fall in domestic consumption
Customs Union Welfare
Net welfare = trade creation gain − trade diversion loss Trade creation gain = ½ × price fall × rise in imports Trade diversion loss = old import volume × (partner price − world price) Price fall = (world price + tariff) − partner price
Flat-Rate Loan Interest
Total interest = amount borrowed × flat rate × years Average balance owed = amount borrowed × (n + 1) ÷ (2n) where n = number of equal installments Effective rate = total interest ÷ (average balance × years) × 100
Skilled Emigration Rate
Skilled emigration rate = skilled emigrants ÷ (skilled emigrants + skilled workers at home) × 100 Skilled stock trained at home = skilled emigrants + skilled workers at home Retention rate = 100 − skilled emigration rate
Catch-Up Time
Years to catch up = ln(rich income ÷ poor income) ÷ ln[(1 + g poor) ÷ (1 + g rich)] where g is the annual growth rate of real GDP per person, written as a decimal
Unit Labor Cost
Unit labor cost = Wage per hour ÷ Output per hour | Output per hour = Total output ÷ Total hours worked
Job Finding Rate
Job finding rate = Hires ÷ Unemployed | Vacancy filling rate = Hires ÷ Vacancies | Market tightness = Vacancies ÷ Unemployed | Expected spell length = 1 ÷ job finding rate
Seigniorage
Real seigniorage = (change in the monetary base ÷ price index) × 100 | Inflation tax = inflation rate × real money balances
Corporate Income Tax
Taxable profit = revenue − deductible costs (wages, materials, interest, depreciation) | Tax owed = statutory rate × taxable profit | After-tax profit = taxable profit − tax owed
Tax Expenditure
Tax expenditure = revenue under a clean base − revenue actually collected | Per taxpayer: marginal rate × amount removed from the base | Program cost = per-taxpayer amount × number of claimants
Means-Tested Benefit
Benefit = maximum benefit − [phase-out rate × (income − threshold)], floored at zero | Break-even income = threshold + (maximum benefit ÷ phase-out rate) | Effective marginal tax rate = phase-out rate + other taxes on the next dollar
Universal Basic Income Cost
Gross cost = Payment per person × Number of recipients | Funding tax rate = Gross cost ÷ Taxable income base | Break-even earnings = Payment ÷ Funding tax rate | Net position = Payment − (Funding tax rate × Earnings)

Graphs you must be able to draw

Drawing points are the easiest points to lose. Practice each of these until you can draw it from memory, fully labeled.

Then test yourself: draw the graph for a graded check or watch a shock move through it step by step.

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