Page 205 - Krugmans Economics for AP Text Book_Neat
P. 205

figure 16.2


                The Consumption Function         Household
                                                 consumer                                          Consumption
                The consumption function relates a house-                                          function, cf
                                                spending, c
                hold’s current disposable income to its                           c = a + MPC × y d
                consumer spending. The vertical intercept,
                a, is individual household autonomous
                consumer spending: the amount of a
                household’s consumer spending if its cur-          Slope = MPC                                         Section 4 National Income and Price Determination
                rent disposable income is zero. The slope
                of the consumption function line, cf, is the                           Δc = MPC × Δy d
                marginal propensity to consume, or MPC:
                of every additional $1 of current dispos-
                able income, MPC × $1 is spent.                            Δy d
                                                        a


                                                                              Household current disposable income, y
                                                                                                             d



               Figure 16.2 shows what Equation 16-5 looks like graphically, plotting y d on the hor-
             izontal axis and c on the vertical axis. Individual household autonomous consumer
             spending, a, is the value of c when y d is zero—it is the vertical intercept of the consump-
             tion function, cf. MPC is the slope of the line, measured by rise over run. If current dis-
             posable income rises by Δy d , household consumer spending, c, rises by Δc. Since MPC is
             defined as Δc/Δy d , the slope of the consumption function is:

                  (16-8) Slope of consumption function
                        = Rise over run
                        =Δc/Δy d
                        = MPC

               In reality, actual data never fit Equation 16-5 perfectly, but the fit can be pretty
             good. Figure 16.3 shows the data from Figure 16.1 again, together with a line drawn to
             fit the data as closely as possible. According to the data on households’ consumer



                figure 16.3

                A Consumption Function             Consumer
                                                    spending
                Fitted to Data
                                                    $100,000                                  cf
                The data from Figure 16.1 are reproduced here,
                along with a line drawn to fit the data as closely
                as possible. For American households in 2008,  80,000
                the best estimate of the average household’s
                autonomous consumer spending, a, is $17,484  60,000
                and the best estimate of MPC is 0.534, or ap-
                proximately 0.53.
                                                      40,000
                Source: Bureau of Labor Statistics.
                                                      20,000

                                                          0         $50,000    100,000    150,000    200,000
                                                                                        Current disposable income



                                                                    module 16      Income and Expenditure       163
   200   201   202   203   204   205   206   207   208   209   210