igcse economics notes – Price elasticity of demand (PED)

Educational Economics Notes

Definition & Calculation of PED:

Definition → Price Elasticity of Demand (PED) measures the responsiveness of quantity demanded to a change in price

Formula → PED = % change in quantity demanded ÷ % change in price

% Change in Quantity Demanded → [(New Quantity – Old Quantity) ÷ Old Quantity] × 100

% Change in Price → [(New Price – Old Price) ÷ Old Price] × 100

Interpretation of PED Values → Standard values reflect varying degrees of consumer sensitivity to price changes

Perfectly Inelastic (PED = 0) → Quantity demanded does not respond to price changes at all (vertical demand curve)

Inelastic (0 < PED < 1) → % change in quantity demanded is smaller than % change in price (steep demand curve)

Unitary Elasticity (PED = 1) → % change in quantity demanded equals % change in price (rectangular hyperbola curve)

Elastic (1 < PED < ∞) → % change in quantity demanded is greater than % change in price (shallow/gentle demand curve)

Perfectly Elastic (PED = ∞) → Any price increase causes quantity demanded to drop to zero (horizontal demand curve)

Example:

→ If a bus company raises ticket prices by 10% and passenger journeys fall by 5%, PED = -5% ÷ +10% = -0.5 (Inelastic demand; minus sign is usually ignored)

Analysis:

Negative Sign Rule → PED is almost always negative due to the inverse law of demand, but economists focus on the numerical absolute value

Curve Slope Distinction → Steeper curves indicate lower elasticity (inelastic), while flatter curves indicate higher elasticity (elastic)

Evaluation:

→ PED values along a single straight-line demand curve vary from elastic at high prices to inelastic at low prices

→ Historical sales data used to calculate PED may become inaccurate if market conditions shift rapidly

Determinants of Price Elasticity of Demand:

Availability of Substitutes → More close substitutes available makes demand more elastic; fewer substitutes makes demand inelastic

Proportion of Income Spent → Items taking a large share of income (e.g., cars) have elastic demand; small income shares (e.g., salt) have inelastic demand

Necessity vs. Luxury → Basic necessities (e.g., water, basic foods) are price inelastic; luxury goods (e.g., holiday trips) are price elastic

Addictive / Habit-Forming Goods → Habitual consumption (e.g., tobacco, coffee) leads to highly price inelastic demand

Time Period → Demand is more elastic in the long run as consumers find substitutes, but inelastic in the short run

Example:

→ Petrol has few immediate substitutes and is a necessity for commuters, making its short-term demand highly inelastic

Analysis:

Substitute Switching → Easy access to alternatives allows consumers to switch brands rapidly if prices rise, driving up PED

Budget Impact → Price increases in high-cost goods force households to adjust buying behavior immediately due to budget constraints

Evaluation:

→ Branding and customer loyalty can make elastic goods act like inelastic goods by reducing perceived substitutes

→ Classification as a necessity or luxury varies across different income levels and country contexts

PED, Consumer Expenditure & Firms’ Revenue:

Total Revenue (TR) & Consumer Expenditure (CE) → TR = Price × Quantity; Consumer expenditure exactly equals firm total revenue

Inelastic Demand (PED < 1) → Price and Total Revenue move in the same direction

Price Increase → Results in a smaller % fall in quantity demanded → Total Revenue rises

Price Decrease → Results in a smaller % rise in quantity demanded → Total Revenue falls

Elastic Demand (PED > 1) → Price and Total Revenue move in opposite directions

Price Increase → Results in a larger % fall in quantity demanded → Total Revenue falls

Price Decrease → Results in a larger % rise in quantity demanded → Total Revenue rises

Unitary Elastic Demand (PED = 1) → Price changes leave Total Revenue completely unchanged

Example:

→ A price increase from 10 to 12 (20% rise) reduces quantity from 100 to 90 units (10% fall). Revenue increases from 1,000 to 1,080 because demand is inelastic

Analysis:

Inelastic Revenue Mechanics → Gain in revenue per unit sold outweighs the loss in revenue from lower sales volume

Elastic Revenue Mechanics → Loss in revenue per unit sold is offset by a much larger expansion in sales volume

Evaluation:

→ Raising prices on inelastic goods increases total revenue, but firms must check if high prices damage brand reputation

→ Competitor reactions must be considered; if competitors do not follow a price rise, elastic demand becomes even higher

Significance of PED for Economic Decision-Makers:

1. Producers / Firms:

Pricing Strategies → Inelastic goods should be priced higher to raise total revenue; elastic goods require price cuts to boost volume and revenue

Tax Pass-Through → Firms can pass indirect tax burdens onto consumers if demand for the product is inelastic

2. Governments:

Taxation Policy → Indirect taxes (e.g., excise duties) are placed on inelastic goods (fuel, tobacco) to maximize tax revenue without reducing sales volume drastically

Subsidies & Price Controls → PED guides how effectively subsidies lower market prices and expand consumer consumption

3. Consumers & Workers:

Consumers → Understand how price movements impact overall spending choices and household budgets

Workers → Trade unions leverage wage demand power if worker skills or products manufactured have inelastic demand

Analysis:

Government Revenue Generation → High tax on inelastic items generates stable fiscal revenue with minimal impact on total employment in that industry

Business Profitability → Aligning pricing structure with PED estimations prevents disastrous falls in firm profit margins

Evaluation:

→ Governments placing taxes on inelastic demerit goods may raise revenue, but fail to eliminate harmful consumption entirely

→ Estimates of PED are based on past observations and may change as economic conditions or consumer tastes shift