Consider a model of the economy's aggregate output, where output in period t is given by: Yt = AtKg (h₁Lt) ¹-a Where A, is TFP in period t, K, is the capital stock, L, is the labor force, and he is the average education of each worker. a) Use the growth accounting framework to find an expression for the growth rate of output. (hint, take the natural log of the expression and then a derivative with respect to time, t). b) Using the data in the table below, and your expression from part (a) above, calculate the growth rate in TFP. Assume that capital's share of income, a, is 1/3. (hint, to calculate the growth rate in a variable, say GDP, calculate the percentage change over the base year: gy = Yt+1-Yt
Consider a model of the economy's aggregate output, where output in period t is given by: Yt = AtKg (h₁Lt) ¹-a Where A, is TFP in period t, K, is the capital stock, L, is the labor force, and he is the average education of each worker. a) Use the growth accounting framework to find an expression for the growth rate of output. (hint, take the natural log of the expression and then a derivative with respect to time, t). b) Using the data in the table below, and your expression from part (a) above, calculate the growth rate in TFP. Assume that capital's share of income, a, is 1/3. (hint, to calculate the growth rate in a variable, say GDP, calculate the percentage change over the base year: gy = Yt+1-Yt
Essentials of Economics (MindTap Course List)
8th Edition
ISBN:9781337091992
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter17: Production And Growth
Section17.1: Economic Growth Around The World
Problem 1QQ
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