Module Micro: 10 Econ: 46 The Income Effect, Substitution Effect, and Elasticity KRUGMAN'S MICROECONOMICS for AP* Margaret Ray and David Anderson What you will learn in this Module: • How the income and substitution effects explain the law of demand • The definition of elasticity, a measure of responsiveness to changes in prices or incomes • The importance of the price elasticity of demand, which measures the responsiveness of the quantity demanded to changes in price • How to calculate the price elasticity of demand The Law of Demand I • The substitution effect • The income effect Defining Elasticity • Definition of elasticity (Elasticity measures the responsiveness of one variable to changes in another.) • Price elasticity of demand, for example, measures the responsiveness of quantity demanded to changes in price. • Law of demand • Example- if price of gas doubles?? Calculating Elasticity elasticity • Elasticity is the % change in the dependent variable divided by the % change in the independent variable • In symbols, elasticity is %∆dep/%∆ind • Price elasticity of demand is the percentage change in quantity demanded divided by the percentage change in the price. • In symbols: Ed = %ΔQd/ΔP note: we drop the negative sign for Ed only. % change in price = 5% % change in quantity demanded = -1% Ed = %ΔQd/ΔP Ed = 1%/5% = 0.2 Figure 46.1 The Demand for Vaccinations Ray and Anderson: Krugman’s Economics for AP, First Edition Copyright © 2011 by Worth Publishers The Midpoint Formula • The problem with calculating percentage changes: Elasticity computations change if the starting and ending prices (or quantities) are reversed. That’s why we use the midpoint formula. • The solution: Use the Midpoint formula! • %ΔQd = 100*(New Quantity – Old Quantity)/Average Quantity • %ΔP = 100*(New Price – Old Price)/Average Price • Ed = %ΔQd/ΔP The Midpoint Formula • Example: • The price of a college’s tuition increases from $20,000 to $24,000 per year. The college discovers that he entering class of first-year students declined from 500 to 450. • %ΔP = 100*(New Price – Old Price)/Average Price = 100*($2000)/$21,000 = 9.5% • %ΔQd = 100*(New Quantity – Old Quantity)/Average Quantity = 100*(-50)/475 = - 10.5% • Ed = 9.5%/10.5% = .90 or an inelastic response between these two points on the demand curve. Table 46.1 Some Estimated Price Elasticities of Demand Ray and Anderson: Krugman’s Economics for AP, First Edition Copyright © 2011 by Worth Publishers