= 0.1), 2. Suppose that the depreciation rate is 10 percent per year (8 = el tsda boinoq Tag O< sti edd Ja awong etohow that the savings rate is 25 percent (o = 0.25), and that the production xi ei baal to tos sdT olderota ton at suguo bas leiqsa leoievilo on ai function is of the Cobb-Douglas form, that is, Y; = AK¢L;-ª, where 7admn baxd s ai Toedw a boirsq lls 1ol T T,ai Jedlt omit o Yt, Kt, and Lt denote, respectively, output, the stock of capital, and %3D odT3(n+1): %3D 1970 population in period t, and a and A are constant parameters. Assume that a = 0.3. Let y* and y denote the steady-state output per capita %3D oirog doo ow oguqo bail S. associated withn and n', respectively. Calculate the percentage in- i crease in long-run output per capita caused by a permanent fall in the population growth rate from n to n', that is, calculate (y*/y*-1) × 100.
= 0.1), 2. Suppose that the depreciation rate is 10 percent per year (8 = el tsda boinoq Tag O< sti edd Ja awong etohow that the savings rate is 25 percent (o = 0.25), and that the production xi ei baal to tos sdT olderota ton at suguo bas leiqsa leoievilo on ai function is of the Cobb-Douglas form, that is, Y; = AK¢L;-ª, where 7admn baxd s ai Toedw a boirsq lls 1ol T T,ai Jedlt omit o Yt, Kt, and Lt denote, respectively, output, the stock of capital, and %3D odT3(n+1): %3D 1970 population in period t, and a and A are constant parameters. Assume that a = 0.3. Let y* and y denote the steady-state output per capita %3D oirog doo ow oguqo bail S. associated withn and n', respectively. Calculate the percentage in- i crease in long-run output per capita caused by a permanent fall in the population growth rate from n to n', that is, calculate (y*/y*-1) × 100.
Principles of Economics 2e
2nd Edition
ISBN:9781947172364
Author:Steven A. Greenlaw; David Shapiro
Publisher:Steven A. Greenlaw; David Shapiro
Chapter19: The Macroeconomic Perspective
Section: Chapter Questions
Problem 25CTQ: Cross country comparisons of GDP per capita typically use purchasing power parity equivalent...
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