Consider two developed and developing countries, the population growth rate of developed countries is 2 percent per year and saving rate of 30 percent. The developing country has a population growth rate of 5 percent and saving rate of 10 percent. Suppose that initial technology of the developed country is 10 times higher than that of the developing country and that both countries have the same productivity growth and depreciation rate: g - 0.02 and 5=0.03. Assume that a - 1/ 3. In a steady state, how much is the developed country's GDP per capita larger than the developing country?

ECON MACRO
5th Edition
ISBN:9781337000529
Author:William A. McEachern
Publisher:William A. McEachern
Chapter8: Productivity And Growth
Section: Chapter Questions
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Consider two developed and developing countries, the population growth rate of developed countries is 2 percent per year and saving rate of 30 percent. The developing country has a population growth rate of 5 percent and saving rate of 10 percent. Suppose that initial technology of the developed country is 10 times higher than that of the developing country and that both countries have the same productivity growth and depreciation rate: g - 0.02 and 5=0.03. Assume that a - 1/ 3. In a steady state, how much is the developed country's GDP per capita larger than the developing country?
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