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Price Elasticity of Demand vs Cross-Price Elasticity of Demand

Price Elasticity of Demand and Cross-Price Elasticity of Demand are two Elasticity concepts in AP Economics that students often mix up. In short: price elasticity of demand is price elasticity of demand measures how responsive quantity demanded is to a change in the good's price. Meanwhile, cross-price elasticity of demand is cross-price elasticity of demand measures how responsive the quantity demanded of one good is to a change in the price of another good. Here is how they compare side by side.

Price Elasticity of Demand

Price elasticity of demand measures how responsive quantity demanded is to a change in the good's price.

It is the percentage change in quantity demanded divided by the percentage change in price. Demand is elastic when the absolute value is greater than 1 and inelastic when it is less than 1. Goods with many substitutes, that take a large share of income, or judged over a longer time horizon tend to be more elastic.

PED = %Δ quantity demanded ÷ %Δ price. Midpoint method: %Δ = (Q₂ − Q₁) ÷ ((Q₁ + Q₂)/2). |PED| > 1 elastic, < 1 inelastic, = 1 unit elastic.
Cross-Price Elasticity of Demand

Cross-price elasticity of demand measures how responsive the quantity demanded of one good is to a change in the price of another good.

It is calculated as the percentage change in quantity demanded of Good A divided by the percentage change in price of Good B. If the ratio is positive, the goods are considered substitutes. If the ratio is negative, the goods are considered complements.

Cross-Price Elasticity of Demand = (% Change in Quantity Demanded of Good A) / (% Change in Price of Good B)

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