AS Level Economics formulas and key terms
Every chapter of AS Level Economics on one page: the 201 formulas, definitions and facts to remember, in syllabus order. Use it for a last look before a test, then check yourself.
Basic economic ideas and resource allocation
Scarcity, choice and opportunity cost
- Scarcity: limited resources compared with unlimited wants.
- Opportunity cost: the next best alternative forgone when a choice is made.
- Choices are made at all levels: individuals, firms and governments.
- What to produce: which goods and services, and how much of each.
- How to produce: which mix of labour, capital and other resources to use.
- For whom to produce: who receives the output, which depends on the distribution of income.
- If the resources used would otherwise be unemployed, the opportunity cost of using them is very low.
Economic methodology
- Positive statement: a statement of fact or prediction that can be tested with evidence. It may turn out to be false.
- Normative statement: a statement based on a value judgement. Look for words such as should, ought, fair, too high, better.
- Ceteris paribus: all other things being equal (other factors are held constant).
- Short run: at least one factor of production is fixed.
- Long run: all factors of production can be varied, but technology is taken as given.
- Very long run: technology and all other influences on production can change as well.
Factors of production
- Land earns rent; labour earns wages; capital earns interest; enterprise earns profit.
- Physical capital: man-made goods used to produce other goods, such as tools, machines and buildings.
- Human capital: the skills, knowledge and experience of the workforce. Training and education increase it.
- Profit is an uncertain reward for bearing risks that cannot be insured. It is not agreed in advance.
- Advantages of division of labour: workers gain skill through repetition, less time is lost changing tasks, and specialised machinery can be used.
- Disadvantages: boredom, over-dependence between workers, and risk of unemployment if a narrow skill is no longer needed.
- Division of labour is limited by the size of the market.
Resource allocation in different economic systems
- Market economy: resources are allocated by the price mechanism; private ownership; the profit motive.
- Planned (command) economy: resources are allocated by the state; state ownership; output targets.
- Mixed economy: both the market (private sector) and the government (public sector) allocate resources.
- Consumer sovereignty: consumers' spending decisions determine what firms produce.
- Market problems: public goods not provided, merit goods under-consumed, demerit goods over-consumed, unequal incomes.
- Planning problems: shortages and surpluses, little incentive to cut costs or innovate, limited consumer choice.
- When price controls are removed, prices rise towards market levels and queues shorten.
Production possibility curves
- Opportunity cost of one extra unit of X = units of Y given up ÷ units of X gained.
- On the curve: full and efficient use of resources. Inside: unemployment or inefficiency. Outside: unattainable now.
- Straight line: constant opportunity cost. Bowed outwards: increasing opportunity cost.
- Outward shift: more or better resources (labour, capital, natural resources) or better technology.
- Inward shift: loss of resources, for example emigration of workers, war or natural disaster.
- Better technology for only one good: the curve pivots outwards along that good's axis; the other intercept stays the same.
- Making more capital goods now means fewer consumer goods now, but a faster outward shift in future.
Classification of goods and services
- Free good: no opportunity cost; supply is enough to meet all wants at zero price.
- Economic (private) good: scarce, so it has an opportunity cost.
- Rival: one person's use reduces the amount available to others. Excludable: people who do not pay can be prevented from using it.
- Public good: non-rival and non-excludable, for example national defence, street lighting, flood defences.
- Free rider: someone who benefits from a good without paying for it.
- Merit good: under-consumed in a free market because of imperfect information, for example education, health care.
- Demerit good: over-consumed in a free market because of imperfect information, for example cigarettes, alcohol.
The price system and the microeconomy
Demand and supply curves
- Effective demand: willingness to buy backed by the ability to pay.
- Market demand (or supply) = sum of the individual quantities demanded (or supplied) at each price.
- Demand shifts with: income, prices of substitutes and complements, tastes and advertising, population, expected future prices.
- Normal good: demand rises when income rises. Inferior good: demand falls when income rises.
- Supply shifts with: costs of production, technology, indirect taxes and subsidies, weather, number of firms, prices of other goods the firm could make.
- A specific tax or a rise in unit costs shifts supply upwards (to the left) by that amount; a subsidy or lower costs shift it downwards (to the right).
- Change in own price: movement along the curve (extension or contraction), never a shift.
Price elasticity, income elasticity and cross elasticity of demand
- PED = % change in quantity demanded ÷ % change in price. It is normally negative.
- YED = % change in quantity demanded ÷ % change in income. Positive: normal good (above 1 luxury, between 0 and 1 necessity). Negative: inferior good.
- XED = % change in quantity demanded of X ÷ % change in price of Y. Positive: substitutes. Negative: complements. Zero: unrelated.
- PED size (ignore the sign): 0 perfectly inelastic (vertical curve); 0 to 1 inelastic; 1 unitary; above 1 elastic; infinity perfectly elastic (horizontal curve).
- Straight-line demand curve: elastic above the midpoint, unitary at the midpoint, inelastic below it.
- Elastic demand: price and total revenue move in opposite directions. Inelastic: they move in the same direction. Unitary: revenue does not change.
- Demand is more price elastic with more close substitutes, a larger share of income, a longer time period, and when the good is a luxury rather than a necessity or habit.
Price elasticity of supply
- PES = % change in quantity supplied ÷ % change in price. It is positive.
- PES = 0: perfectly inelastic (vertical supply curve). PES = infinity: perfectly elastic (horizontal supply curve).
- 0 to 1: inelastic. 1: unitary. Above 1: elastic.
- Straight-line supply through the origin: PES = 1 at every point, whatever the slope.
- Straight-line supply that starts from the price axis: PES above 1. Starting from the quantity axis: PES below 1.
- More elastic with: spare capacity, large stocks, goods that can be stored, short production time, mobile factors, longer time period.
- Farm products and perishable goods have inelastic short-run supply, so their prices change a lot when demand changes.
The interaction of demand and supply
- Equilibrium: quantity demanded = quantity supplied. Disequilibrium: excess demand (shortage) or excess supply (surplus).
- Demand rises: price and quantity both rise. Demand falls: both fall.
- Supply rises: price falls and quantity rises. Supply falls: price rises and quantity falls.
- Both rise: quantity rises, price uncertain. Demand rises and supply falls: price rises, quantity uncertain.
- Joint demand (complements): used together, such as cars and petrol. Alternative demand (substitutes): one replaces the other.
- Derived demand: a factor or input is wanted for what it helps to produce. Joint supply: making one good also produces another, such as beef and leather.
- Rationing: a higher price limits a good to those most willing and able to pay. Signalling: price changes show producers what consumers want. Incentivising: higher prices and profits encourage firms to supply more.
Consumer and producer surplus
- Consumer surplus = what consumers are willing to pay − what they actually pay
- Producer surplus = price received − lowest price producers would accept
- With straight-line curves each surplus is a triangle: area = ½ × base (quantity) × height (price gap)
- Supply increases (demand unchanged): price falls, quantity rises, consumer surplus rises
- Demand increases (supply slopes upwards): price and quantity rise, producer surplus rises
- A specific tax reduces both consumer surplus and producer surplus
- The side of the market that is more price inelastic bears more of the change: inelastic demand means consumers lose most from a tax
Government microeconomy intervention
Reasons for government intervention in markets
- Public good: non-excludable (non-payers cannot be kept out) and non-rival (one person's use does not reduce the amount left for others)
- Free rider: someone who benefits from a good without paying for it
- Public goods are not provided by the market, so the government provides them and pays from taxation
- Merit good: better for people than they realise, so under-consumed in a free market
- Demerit good: more harmful than people realise, so over-consumed in a free market
- Maximum price: set to keep a good affordable for consumers
- Minimum price: set to protect producers' incomes, or to cut consumption of a demerit good
Methods and effects of government intervention in markets
- Tax paid by consumers per unit = rise in market price; tax paid by producers per unit = tax − rise in price
- Tax revenue = tax per unit × quantity sold after the tax
- Total cost of a subsidy = subsidy per unit × quantity sold after the subsidy
- The more price inelastic demand is (compared with supply), the more of a tax falls on consumers and the more of a subsidy they gain
- Maximum price below equilibrium: quantity demanded exceeds quantity supplied (shortage)
- Minimum price above equilibrium: quantity supplied exceeds quantity demanded (surplus)
- Buffer stock: buy when price falls to the floor, sell from stock when price rises to the ceiling
Addressing income and wealth inequality
- Income is a flow (per week, month or year); wealth is a stock (at a point in time)
- Gini coefficient = area between the line of equality and the Lorenz curve ÷ total area under the line of equality
- Gini coefficient of 0 = perfect equality; 1 = perfect inequality; a rise means more inequality
- Progressive tax: takes a larger percentage of income as income rises
- Transfer payment: money paid by the government with no good or service given in return, e.g. pensions, unemployment benefit
- Inheritance and capital taxes reduce inequality of wealth; income tax reduces inequality of income
- Wealth is usually distributed more unequally than income, because it builds up over time and is passed on
The Macroeconomy
National income statistics
- GDP = total value of output produced within a country in a year
- GNI = GDP + net primary income from abroad
- NNI = GNI − depreciation (capital consumption)
- Basic prices = market prices − indirect taxes + subsidies
- Net = gross − depreciation
- Count only value added at each stage (or only final goods) to avoid double counting
- Transfer payments are left out because no output is produced in return
Introduction to the circular flow of income
- Injections = investment + government spending + exports (I + G + X)
- Leakages = saving + taxation + imports (S + T + M)
- Equilibrium: I + G + X = S + T + M (the totals must be equal, not each pair)
- Closed economy with a government: equilibrium when I + G = S + T
- Injections > leakages: national income rises until leakages have risen to match
- Leakages > injections: national income falls until leakages have fallen to match
- Spending on domestic output = income − taxes − saving − imports
Aggregate Demand and Aggregate Supply analysis
- AD = C + I + G + (X − M): consumption, investment, government spending, net exports
- AD shifts right when C, I, G or (X − M) rises, e.g. lower interest rates, lower income tax, higher confidence
- SRAS shifts left when costs of production rise, e.g. higher wages, dearer raw materials or oil
- LRAS shifts right when the quantity or quality of factors of production rises, e.g. better technology, education, more capital
- AD shifts right: real output and the price level rise (on vertical LRAS only the price level rises)
- SRAS shifts left: real output falls and the price level rises
- SRAS shifts right: real output rises and the price level falls
Economic growth
- Growth rate = change in real GDP ÷ original real GDP × 100
- Real GDP = nominal GDP ÷ price index × 100
- Approximate real growth = nominal GDP growth − inflation rate
- Approximate growth in real GDP per head = real GDP growth − population growth
- Actual growth: more output is produced (AD or SRAS shifts right)
- Potential growth: productive capacity rises (LRAS shifts right) through investment, technology, education, a larger labour force
- If actual growth stays above the growth of capacity, spare capacity runs out and inflation rises
Unemployment
- Unemployment rate = number unemployed ÷ labour force × 100
- Labour force = employed + unemployed (not the whole population)
- Frictional: people moving between jobs, short term
- Structural: an industry declines and workers' skills or location do not fit the jobs available
- Cyclical (demand-deficient): AD falls in a recession, so unemployment rises in most industries
- Seasonal: demand for labour falls at certain times of year; technological: machines replace workers
- Claimant count misses the unemployed who cannot or do not claim; the survey is a sample, so it is costly and may have sampling errors
Price stability
- Inflation rate = change in CPI ÷ earlier CPI × 100
- Weighted price index = sum of (weight × price index) ÷ sum of weights
- Real value = money (nominal) value ÷ price index × 100
- Approximate real change = % change in money value − inflation rate (same for the real rate of interest)
- Demand-pull: AD shifts right, price level and real output rise
- Cost-push: SRAS shifts left, price level rises and real output falls
- Inflation harms people on fixed incomes, savers and lenders, and makes exports less competitive; borrowers gain
Government macroeconomic intervention
Government macroeconomic policy objectives
- Price stability = a low, stable rate of inflation (for example a 2% target), not zero price change.
- Low unemployment = a small percentage of the labour force is without work and looking for it.
- Economic growth = an increase in real GDP over time (measured as the % change in real GDP).
- Falling prices (deflation) are not the aim: people delay spending and the real value of debt rises.
- Demand too high and inflation above target: use contractionary fiscal or monetary policy.
- Demand too low and unemployment high: use expansionary fiscal or monetary policy.
- Growth without extra inflation near full capacity: use supply-side policy to raise productive capacity.
Fiscal policy
- Budget deficit: government spending > tax revenue. Budget surplus: tax revenue > government spending.
- National debt = total stock of government borrowing; a deficit adds to it each year and interest must be paid on it.
- Direct tax: on income or wealth (income tax, corporation tax). Indirect tax: on spending (VAT, sales tax, excise duty).
- Progressive: average rate rises as income rises. Proportional: average rate stays the same. Regressive: average rate falls as income rises.
- Average rate of tax (art) = total tax paid ÷ total income × 100. Marginal rate of tax (mrt) = change in tax paid ÷ change in income × 100.
- Capital spending: on assets that last, such as roads and schools. Current spending: day-to-day, such as wages and medicines.
- Expansionary: higher spending or lower taxes, AD shifts right. Contractionary: lower spending or higher taxes, AD shifts left.
Monetary policy
- Monetary policy = use of interest rates, money supply and credit regulations to influence AD.
- Tools: interest rates; money supply (for example the central bank buying or selling government bonds); credit regulations (limits on bank lending, minimum deposits for loans).
- Expansionary: lower interest rates, more money, easier credit. AD shifts right.
- Contractionary: higher interest rates, less money, tighter credit. AD shifts left.
- Higher interest rates reduce consumption and investment, and also attract foreign savings so the currency rises and net exports fall.
- AD shifts right on the upward-sloping part of AS: real output, employment and the price level all rise.
- AD shifts right on the vertical part of AS: only the price level rises.
Supply-side policy
- Supply-side policy = measures to raise productive capacity, shown by a rightward shift of LRAS.
- Objectives: increase productivity and productive capacity.
- Labour productivity = output ÷ number of workers (or output per worker hour).
- Tools: training and education, infrastructure, support for technology (research grants, tax relief on research), lower marginal tax rates to improve incentives.
- LRAS shifts right with AD unchanged on the upward-sloping section: real output rises and the price level falls.
- On the horizontal section of the Keynesian AS curve, a rightward shift of LRAS changes neither output nor the price level.
- Effects come with a long time lag and many measures cost the government money.
International economic issues
The reasons for international trade
- Absolute advantage: can produce more of a good with the same resources (or the same output with fewer resources).
- Comparative advantage: can produce a good at a lower opportunity cost than another country.
- Opportunity cost of 1 unit of good X = output of good Y given up ÷ output of X gained.
- Trade benefits both countries when the exchange rate between the goods lies between their two opportunity costs.
- Terms of trade index = index of export prices ÷ index of import prices × 100.
- A rise in the index is called an improvement; a fall is a deterioration (worsening).
- Limitations: transport costs, rising opportunity costs, trade barriers, immobile factors, risk of over-dependence on one product.
Protectionism
- Tariff: a tax on imports. Price rises, domestic output rises, consumption falls, imports fall, government gains revenue.
- Import quota: a limit on the quantity (or value) of a good that may be imported. No tax revenue for the government.
- Export subsidy: a government payment to exporters that lowers their costs so they can sell abroad at lower prices.
- Embargo: a complete ban on trade in certain goods or with a certain country.
- Red tape: slow customs checks, heavy paperwork or strict standards that make importing costly.
- Tariff revenue = tariff per unit × quantity imported after the tariff.
- For: infant industries, anti-dumping, protecting jobs, strategic industries, improving the current account. Against: higher prices, less choice, inefficiency, retaliation, higher costs for firms that use imported inputs.
Current account of the balance of payments
- Trade in goods: exports and imports of physical products (cars, oil, wheat).
- Trade in services: tourism, transport, banking, insurance, education.
- Primary income: income from factors of production across borders (wages, interest, profits, dividends).
- Secondary income: transfers with nothing received in return (workers' remittances, foreign aid, payments to international organisations).
- Balance of trade in goods = exports of goods − imports of goods (the same method for services).
- Balance of trade in goods and services = goods balance + services balance.
- Current account balance (CAB) = goods balance + services balance + net primary income + net secondary income.
Exchange rates
- Exchange rate = the price of one currency in terms of another currency.
- Floating rate: determined by demand for and supply of the currency.
- Demand for a currency comes from exports, inward investment, foreign tourists and savings attracted by high interest rates.
- Supply of a currency comes from imports, investment abroad and residents travelling abroad.
- Appreciation: one unit of the currency buys more foreign currency. Depreciation: it buys less.
- Depreciation: exports cheaper, imports dearer; AD shifts right if demand is price elastic; SRAS shifts left; the price level tends to rise.
- Appreciation: exports dearer, imports cheaper; AD shifts left; SRAS shifts right; the price level tends to fall.
Policies to correct imbalances in the current account of the balance of payments
- Stability of the current account = avoiding large, persistent deficits or surpluses.
- Contractionary fiscal policy (higher taxes, lower spending): incomes fall, spending on imports falls, deficit narrows.
- Contractionary monetary policy (higher interest rates): spending on imports falls, but the currency may appreciate and make exports less competitive.
- Protectionist policy (tariffs, quotas): switches spending from imports to home goods; risk of retaliation and higher prices.
- Supply-side policy: lower costs and better quality raise exports and replace imports in the long run.
- To reduce a surplus, use the opposite: expansionary fiscal or monetary policy or lower trade barriers.