Per capita Output Y = A.kª.h¹-a A-technology k-per capita physical capital h-per capita human capital a-0.6 Country A with $500 per capita income saves 25% of its output and invests on physical capital, and 25% on investing in human capital. Country B with $5000 per capita income saves 25% of its output and invests on physical capital, and 35% on investing in human capital. a. What are the growth rates of the two countries? b. What will be the per capita income levels after 5 years? c. Will there be convergence on the per capita income in the future?

Exploring Economics
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Author:Robert L. Sexton
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Chapter20: Economic Growth In The Global Economy
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1. Assume that there are two countries with the following characteristics.
Per capita Output Y = A.kª.h¹-a
A-technology
k-per capita physical capital
h-per capita human capital
a-0.6
Country A with $500 per capita income saves 25% of its output and invests on
physical capital, and 25% on investing in human capital.
Country B with $5000 per capita income saves 25% of its output and invests on
physical capital, and 35% on investing in human capital.
a. What are the growth rates of the two countries?
b. What will be the per capita income levels after 5 years?
c. Will there be convergence on the per capita income in the future?
Transcribed Image Text:1. Assume that there are two countries with the following characteristics. Per capita Output Y = A.kª.h¹-a A-technology k-per capita physical capital h-per capita human capital a-0.6 Country A with $500 per capita income saves 25% of its output and invests on physical capital, and 25% on investing in human capital. Country B with $5000 per capita income saves 25% of its output and invests on physical capital, and 35% on investing in human capital. a. What are the growth rates of the two countries? b. What will be the per capita income levels after 5 years? c. Will there be convergence on the per capita income in the future?
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