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

Economics (MindTap Course List)

13th Edition

ISBN:9781337617383

Author:Roger A. Arnold

Publisher:Roger A. Arnold

Chapter10: Keynesian Macroeconomics And Economic Instability: A Critique Of The Self Regulating Economy

Section: Chapter Questions

Problem 6WNG

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