ELASTICITY OF DEMAND Dr. Khurram Iftikhar Elasticities of Demand and Supply 1 MICROECONOMICS Lecture 09 Elasticities of Demand and Supply 2 Elasticity Elasticity measure the responsiveness between two variables. Three types of Elasticity. Price Elasticity Income Elasticity Cross Elasticity Elasticities of Demand and Supply 3 Price Elasticity of Demand Elasticities of Demand and Supply 4 PRICE ELASTICITY OF DEMAND Price Elasticity of Demand Definition The price elasticity of demand is the ratio of the percentage change in the quantity demanded to the percentage change in price. Price elasticity of = demand Percentage change in quantity demanded Percentage change in price It is a measure of the extent to which the quantity demanded of a good changes when the price of the good changes. Elasticities of Demand and Supply 5 PRICE ELASTICITY OF DEMAND Calculating the Price Elasticity of Demand Problem Suppose Superstore raises the price of Tea from $3 to $5 a cup. The price increase is 66.67 percent of the initial $3 price. Now, suppose Superstore lowers the price from $5 to $3. The price decrease is 40 percent of the initial $5 price. The same price change, $2, over the same interval, $3 to $5, is a different percentage change depending on whether the price rises or falls. Elasticities of Demand and Supply 6 PRICE ELASTICITY OF DEMAND Calculating the Price Elasticity of Demand Solution We need a measure of percentage change that does not depend on the direction of the price change. We use the average of the initial price and the new price to measure the percentage change in price. Similarly, we use the average of the initial quantity and the new quantity to measure the percentage change in quantity. This is called the midpoint method for computing the elasticity. Elasticities of Demand and Supply 7 PRICE ELASTICITY OF DEMAND Calculating Demand Elasticity: Example If Superstore raises the price of a Tea from $3 to $5 a cup, the quantity demanded decreases from 15 to 5 cups per hour. The quantity decrease is 100% of the average quantity. The price increase is 50% of the average price. The price elasticity of demand equals 100% divided by 50%, or 2. Elasticities of Demand and Supply 8 5.1 THE PRICE ELASTICITY OF DEMAND Percentage Change in Price Suppose Starbucks raises the price of a latte from $3 to $5 a cup. What is the percentage change in price? New price – Initial price Percent change in price = x 100 Initial Price $5 – $3 Percent change in price = x 100 = 66.67 percent $3 5.1 THE PRICE ELASTICITY OF DEMAND Suppose Starbucks cuts the price of a latte from $5 to $3 a cup. What is the percentage change in price? New price – Initial price Percent change in price = x 100 Initial Price $3 – $5 Percent change in price = $5 x 100 = – 40 percent PRICE ELASTICITY OF DEMAND Comment Minus sign Because of the Law of Demand, when the price rises, the quantity demanded decreases. Price and quantity demanded always change in opposite directions. Therefore, the elasticity of demand calculated by the midpoint formula is always negative. So we ignore the minus sign and use absolute values. Elasticities of Demand and Supply 11 PRICE ELASTICITY OF DEMAND Elastic and Inelastic Demand Based on the coefficient of elasticity, the demand for any good can be classified into one of five categories • • • • • Elastic Unit elastic Inelastic Perfectly elastic Perfectly inelastic Elasticities of Demand and Supply 12 PRICE ELASTICITY OF DEMAND Elastic and Inelastic Demand Demand is elastic if • the percentage change in quantity demanded is greater than the percentage change in price • the coefficient of the elasticity of demand is greater than 1. Elasticities of Demand and Supply 13 PRICE ELASTICITY OF DEMAND Elastic Demand When the price of a Sony Playstation rises by 10%, . . . the quantity demanded decreases by 20%. The decrease in quantity demanded is greater than the increase in price. Therefore, demand for Sony Playstations is elastic. Elasticities of Demand and Supply 14 PRICE ELASTICITY OF DEMAND Elastic and Inelastic Demand Demand is unit elastic if • the percentage change in quantity demanded is the same as the percentage change in price • the coefficient of the elasticity of demand equals 1. Elasticities of Demand and Supply 15 PRICE ELASTICITY OF DEMAND Unit Elastic Demand When the price of a trip rises by 10%, . . . the quantity demanded of trips decreases by 10%. The decrease in quantity demanded is the same as the increase in price. Therefore, the demand for trips is unit elastic. Elasticities of Demand and Supply 16 PRICE ELASTICITY OF DEMAND Elastic and Inelastic Demand Demand is inelastic if • the percentage change in quantity demanded is smaller than the percentage change in price • the coefficient of the elasticity of demand is less than 1. Elasticities of Demand and Supply 17 PRICE ELASTICITY OF DEMAND Inelastic Demand When the price of gum rises by 20%, . . . the quantity demanded decreases by 10%. The decrease in quantity demanded is smaller than the increase in price. Therefore, the demand for gum is inelastic. Elasticities of Demand and Supply 18 PRICE ELASTICITY OF DEMAND Elastic and Inelastic Demand Demand is perfectly elastic if • the quantity demanded changes by a very large percentage in response to an almost zero percentage change in price. • the coefficient of the elasticity of demand is infinite (the numerator is very large and the denominator is infinitesimally small). Elasticities of Demand and Supply 19 PRICE ELASTICITY OF DEMAND Special Case: Perfectly Elastic Demand For even a very small change in the price of spring water, . . . the quantity demanded of spring water changes by a very large amount. The change in the quantity demanded is much (infinitely) larger than the change in price. Therefore, the demand for spring water is perfectly elastic. Elasticities of Demand and Supply 20 PRICE ELASTICITY OF DEMAND Elastic and Inelastic Demand Demand is perfectly inelastic if • the percentage change in quantity demanded is zero when the price changes. • the coefficient of the elasticity of demand equals 0. Elasticities of Demand and Supply 21 PRICE ELASTICITY OF DEMAND Special Case: Perfectly Inelastic Demand When the price rises, . . . the quantity demanded does not change. There is no change in the quantity demanded when price changes. Therefore, demand is perfectly inelastic. Elasticities of Demand and Supply 22 PRICE ELASTICITY OF DEMAND Comments Elasticity is independent of units of measurement Elasticity is independent of the units used to measure price and quantity. Because it is the ratio of two percentages, it is a number with no units. For example, the elasticity of demand for Tea is simply 2. Elasticity allows us to compare the demands for different goods. For example, we can compare the elasticity of demand for latte with the elasticity of demand for baseball tickets. Elasticities of Demand and Supply 23 PRICE ELASTICITY OF DEMAND Comments Elasticity is not the same as slope Unlike elasticity, slope depends on the units of measurement of price and quantity. For example, the slope of the demand curve for latte has the units “dollars per cup”. Slope cannot be used to compare the demands for different goods because the slopes have different units. Elasticities of Demand and Supply 24 PRICE ELASTICITY OF DEMAND Elasticity and Slope: Example Along a linear (straight-line) demand curve, the slope is constant but the elasticity decreases as the price falls. At any price above the midpoint, demand is elastic. At the midpoint, demand is unit elastic. At any price below the midpoint, demand is inelastic. Elasticities of Demand and Supply 25