Consider an economy with a Cobb-Douglass production function Y = A1-«KªN1-a Where TFP, A, grows at a rate of g per year and population grows at a rate of п рer year. 1. Derive an expression for the production function per effective worker f(k) = Yt in terms of the ratio of capital per effective worker ki AtNt

Exploring Economics
8th Edition
ISBN:9781544336329
Author:Robert L. Sexton
Publisher:Robert L. Sexton
Chapter20: Economic Growth In The Global Economy
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Part 1. Solow model with population and productivity growth
Consider an economy with a Cobb-Douglass production function
Y = A1-«KªN1-a
Where TFP, A, grows at a rate of g per year and population grows at a rate of
п per year.
1. Derive an expression for the production function per effective worker
Yt
f (k):
in terms of the ratio of capital per effective worker k
AtNt
Transcribed Image Text:Part 1. Solow model with population and productivity growth Consider an economy with a Cobb-Douglass production function Y = A1-«KªN1-a Where TFP, A, grows at a rate of g per year and population grows at a rate of п per year. 1. Derive an expression for the production function per effective worker Yt f (k): in terms of the ratio of capital per effective worker k AtNt
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