There are countries Alpha and Beta. Aside from being in steady-state initially, assume both economies had the same saving rate, the same rates of population growth and depreciation, and that capital has a common value of α = 1/2. Solve the following In this initial steady state, output has a ratio of Yalpha : Ybeta = 2 : 1. due to its higher productivity A. Use this information and equations for the steady state to calculate the ratio of productivity between A and B. Explain your derivations. Calculate the ratio of capital per capita between the two countries. Explain your derivations.

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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There are countries Alpha and Beta. Aside from being in steady-state initially, assume both economies had the same saving rate, the same rates of population growth and depreciation, and that capital has a common value of α = 1/2. Solve the following

  1. In this initial steady state, output has a ratio of Yalpha : Ybeta = 2 : 1. due to its higher productivity A. Use this information and equations for the steady state to calculate the ratio of productivity between A and B. Explain your derivations.

  2. Calculate the ratio of capital per capita between the two countries. Explain your derivations.

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