ACCA Applied Knowledge · Business and Technology
Microeconomic factors: formula sheet
Key formulas
- Equilibrium condition
- Quantity demanded = Quantity supplied
- The equilibrium price is the price at which this holds.
- Surplus (excess supply)
- Surplus = Quantity supplied − Quantity demanded, when price is above equilibrium
- Price tends to fall.
- Shortage (excess demand)
- Shortage = Quantity demanded − Quantity supplied, when price is below equilibrium
- Price tends to rise.
- Shift rules
- Demand ↑ → price ↑, quantity ↑; Demand ↓ → price ↓, quantity ↓; Supply ↑ → price ↓, quantity ↑; Supply ↓ → price ↑, quantity ↓
- Holds when only one curve shifts and the curves have normal slopes.
- Own price change
- Price change → movement along the curve, not a shift
- Only non-price factors shift a curve.
- Price elasticity of demand (PED)
- PED = % change in quantity demanded ÷ % change in price
- Result is normally negative. Exams usually ignore the sign and talk about size. Above 1 is elastic, below 1 is inelastic.
- Income elasticity of demand (YED)
- YED = % change in quantity demanded ÷ % change in income
- Positive = normal good, negative = inferior good, above 1 = luxury.
- Cross elasticity of demand (XED)
- XED = % change in quantity demanded of A ÷ % change in price of B
- Positive = substitutes, negative = complements.
- Price elasticity of supply (PES)
- PES = % change in quantity supplied ÷ % change in price
- Normally positive. Above 1 is elastic supply.
- Percentage change
- % change = (new − old) ÷ old × 100
- Always divide by the original figure, not the new one.
- Effect on total revenue
- Elastic: price rise cuts revenue. Inelastic: price rise increases revenue.
- Price cuts do the opposite. At unit elasticity revenue stays unchanged.
- Shortage
- Shortage = Quantity demanded − Quantity supplied, at the maximum price
- Applies only when the maximum price is below equilibrium. If it is at or above equilibrium, it has no effect.
- Surplus
- Surplus = Quantity supplied − Quantity demanded, at the minimum price
- Applies only when the minimum price is above equilibrium.
- Equilibrium
- Quantity demanded = Quantity supplied
- Solve the demand and supply equations together to find equilibrium price and quantity.
- Tax revenue
- Tax revenue = Tax per unit × Quantity sold after the tax
- Use the new quantity, not the old one.
- Subsidy cost
- Subsidy cost = Subsidy per unit × Quantity sold after the subsidy
- Use the new quantity.
- Direction of shifts
- Indirect tax: supply shifts left. Subsidy: supply shifts right.
- The demand curve does not move. Price and quantity move along it.
- Social cost
- Social cost = private cost + external cost
- Negative externality: the market ignores external cost, so output is too high.
- Social benefit
- Social benefit = private benefit + external benefit
- Positive externality: the market ignores external benefit, so output is too low.
- Public good test
- Public good = non-excludable AND non-rival
- Both features must hold for a pure public good. A private good is excludable and rival.
- Matching the fix
- Negative externality → tax or regulation; positive externality or merit good → subsidy or provision; public good → state provision; monopoly → competition policy; information gap → disclosure rules
- Typical matches. Other tools can also be valid if you justify them.
- Perfect competition
- Many firms + identical product + free entry/exit = price taker
- Firm accepts the market price. Normal profit in the long run.
- Monopolistic competition
- Many firms + differentiated product + easy entry = some pricing power
- Competes on branding, quality and advertising. Close substitutes limit price.
- Oligopoly
- Few large firms + high barriers + interdependence
- Firms watch rivals. Prices are often stable. Collusion is possible but usually illegal.
- Monopoly
- One firm + very high barriers = price maker
- Can restrict output and raise price. May earn abnormal profit long term.
- Concentration ratio
- Concentration ratio = combined market share of the largest n firms
- A high ratio, such as the top 4 firms holding most sales, points to oligopoly.
- Total cost
- Total cost = Fixed costs + Variable costs
- Fixed costs stay the same in the short run; variable costs rise with output.
- Average (unit) cost
- Average cost = Total cost ÷ Output
- Economies of scale mean this falls as the firm grows; diseconomies mean it rises.
- Variable cost
- Total variable cost = Variable cost per unit × Output
- Variable cost per unit is assumed constant within the normal range of output.
- Scale rule
- Economies: average cost falls as scale rises. Diseconomies: average cost rises as scale rises.
- Applies to the long run, when all inputs can change.
Quick revision
- A rise in price causes a movement along the demand curve. A change in another factor shifts the curve.
- At equilibrium, quantity demanded equals quantity supplied.
- Price elasticity of demand = % change in quantity demanded ÷ % change in price.
- Elastic demand means the response is larger than the price change. Inelastic means it is smaller.
- Income elasticity is positive for normal goods and negative for inferior goods.
- A price ceiling set below equilibrium creates a shortage. A price floor set above equilibrium creates a surplus.
- A subsidy lowers the cost of supply and shifts the supply curve to the right.
- Negative externalities are costs imposed on third parties. Positive externalities are benefits to third parties.
- Public goods are non-excludable and non-rival, so private firms struggle to provide them.
- A monopoly is a single seller with high barriers to entry and strong pricing power.
- Perfect competition has many sellers, identical products and no barriers to entry.
- Economies of scale lower average cost as output grows. Diseconomies raise it when a firm gets too large.
Common mistakes
- Treating a change in the good's own price as a shift in the demand curve. Fix: Own price changes only move you along the curve. Only other factors shift it.
- Mixing up the effect of a rise in the price of a substitute and of a complement. Fix: Substitutes compete, so a rise in the price of one increases demand for the other. Complements are used together, so it reduces demand.
- Dividing by the new figure when calculating percentage change. Fix: Always use (new − old) ÷ old. Write the base next to the figure before dividing.
- Inverting the formula, giving price change ÷ quantity change. Fix: Put the effect on top. Quantity is the response, so it is the numerator.
- Saying a price ceiling always causes a shortage. Fix: Always compare the control price with equilibrium first.
- Mixing up a ceiling and a floor. Fix: Ceiling = maximum price, protects buyers, shortage. Floor = minimum price, protects sellers, surplus.
- Treating any cost to the producer as a negative externality. Fix: An externality must fall on a third party outside the transaction. Costs the firm pays itself are private costs.
- Calling a good a public good because the government provides it. Fix: Use the test: non-excludable and non-rival. Education is usually a merit good, not a pure public good.
- Confusing monopolistic competition with monopoly. Fix: Remember that monopolistic competition has many firms and easy entry. Monopoly has one firm.
- Saying oligopoly firms always collude. Fix: Say collusion is possible, but it is usually illegal. Many oligopolies compete on non-price factors without agreements.
Exam tips
- Read the first words of the question for the cause. If it is the good's own price, the answer is a movement along the curve, not a shift.
- Under time pressure, name the curve first, then the direction, then the result. This avoids most errors.
- In multiple response questions, check each option against the shift rules separately before selecting.
- Watch for 'change in demand' versus 'change in quantity demanded'. They are different answers.
- When a number entry question gives quantities at prices, find where the two quantities match.
- In Section A, the sign and the comparison with 1 often decide the answer. Check these before doing full arithmetic.
- For multiple response questions, read the number of options you must select and tick exactly that many.
- Number entry questions may ask for a specific rounding or ask you to ignore the sign. Read the instruction before typing.