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To calculate the percent change in quantity going from situation A to situation B, we
             compare the change in the quantity demanded—a fall of 200 units—with the average of
             the quantity demanded in the two situations. So we calculate


                                                 −200            −200
                % change in quantity demanded =           × 100 =     × 100 = −20%
                                             (1,100 + 900)/2     1,000

             In the same way, we calculate the percentage change in price as                                           Section 9 Behind the Demand Curve: Consumer Choice


                                            $0.20           $0.20
                      % change in price =             × 100 =    × 100 = 20%
                                       ($0.90 + $1.10)/2    $1.00

             So in this case we would calculate the price elasticity of demand to be


                                           % change in quantity demanded  20%
                    Price elasticity of demand =                      =     =  1
                                                 % change in price      20%


             again dropping the minus sign.
               The important point is that we would get the same result, a price elasticity of de-
             mand of 1, whether we went up the demand curve from situation A to situation B or
             down from situation B to situation A.
               To arrive at a more general formula for price elasticity of demand, suppose that we
             have data for two points on a demand curve. At point 1 the quantity demanded and





              fyi



             Estimating Elasticities
             You might think it’s easy to estimate  The most comprehensive effort to   table 46.1
             price elasticities of demand from real-  estimate price elasticities of demand
             world data: just compare percent  was a mammoth study by the econo-  Some Estimated Price Elasticities of Demand
             changes in prices with percent changes  mists Hendrik S. Houthakker and
                                                                                 Good         Price elasticity of demand
             in quantities demanded. Unfortunately,  Lester D. Taylor. Some of their results
             it’s rarely that simple because changes  are summarized in Table 46.1. These   Inelastic demand
             in price aren’t the only thing affecting  estimates show a wide range of price  Eggs      0.1
             changes in the quantity demanded: other  elasticities. There are some goods,   Beef       0.4
             factors—such as changes in income,  like eggs, for which demand hardly
                                                                                 Stationery            0.5
             changes in population, and changes in  responds at all to changes in the
                                                                                 Gasoline              0.5
             the prices of other goods—shift the de-  price; there are other goods, most
             mand curve, thereby changing the quan-  notably foreign travel, for which the  Elastic demand
             tity demanded at any given price. To  quantity demanded is very sensitive   Housing       1.2
             estimate price elasticities of demand,  to the price.               Restaurant meals      2.3
             economists must use careful statistical  Notice that Table 46.1 is divided into
                                                                                 Airline travel        2.4
             analysis to separate the influence of  two parts: inelastic and elastic demand.
                                                                                 Foreign travel        4.1
             these different factors, holding other  We’ll explain in the next section the signif-
                                                                            Source: Hendrick S. Houthakker and Lester D. Taylor, Consumer Demand in
             things equal.                  icance of that division.
                                                                            the United States, 1929–1970 (Cambridge: Harvard University Press, 1970)


                                      module 46       Income Effects, Substitution Effects, and Elasticity      463
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