Suppose you are given the data for Brazil and Portugal. In Brazil, the saving rate is 0.1 and the depreciation rate is 0.1, while in Portugal saving rate is 0.2 and the depreciation rate is 0.1. Using the Solow model, you conclude that in the steady-state: a. Brazil has a higher capital-output ratio than Portugal b. Portugal has a higher capital-output ratio than Brazil c. Brazil has a higher level of output than Portugal d. Portugal has a higher level of output than Brazil Portugal and Brazil have the same capital-output ratio

Suppose you are given the data for Brazil and Portugal. In Brazil, the saving rate is 0.1 and the depreciation rate is 0.1, while in Portugal saving rate is 0.2 and the depreciation rate is 0.1. Using the Solow model, you conclude that in the steady-state: a. Brazil has a higher capital-output ratio than Portugal b. Portugal has a higher capital-output ratio than Brazil c. Brazil has a higher level of output than Portugal d. Portugal has a higher level of output than Brazil Portugal and Brazil have the same capital-output ratio

MACROECONOMICS

14th Edition

ISBN:9781337794985

Author:Baumol

Publisher:Baumol

Chapter7: Economic Growth: Theory And Policy

Section: Chapter Questions

Problem 3DQ

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This question is about the Solow model. For 2 countries, 1 and 2 which has the same rate of population growth and depreciation and the same saving rate, and are in initial steady state, their capital have equal importance for production for both countries with the same value of α = 1/2 a. In the initial steady state, country 1 has 2 times the output per capita to country 2 because of its greater productivity A. Please use the steady-state equation to find the ratio of the 2 countries’ ratio of productivity and explain it. b. Find the 2 countries’ ratio of capital per capita and explain it. c. Please explain in detail if the capital owners in country 1 are motivated to move their capital from country 1 which is capital abundant, to country 2 which is more capital scarce? Hint: the 2 countries’ payment per unit of capital d. Does workers in country 2 motivated to immigrate to country 1? Please explain from the perspective of the 2 countries’ wages.
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Suppose that for a particular country, the savings rate is 20%, the capital–output ratio is 4, the depreciation rate is 1%, and the rate of growth of the population is 2% per year. a) Calculate the rate of growth of overall GDP. b. What is the rate of per capita GDP growth? c. What should the savings rate be to get the growth rate of overall GDP to 8%?
Question 1: In Ghana, the capital share of GDP is about 40 percent, the average growth in output is about 2 percent per year, the depreciation rate is about 3 percent per year, and the capital–output ratio is about 1.5. Suppose that the production function is Cobb–Douglas and that Ghana has been in a steady state. a. What must the saving rate be in the initial steady state? [Hint: Use the steady-state relationship, sy = (δ + n + g)k.] b. What is the marginal product of capital in the initial steady state? c. Suppose that public policy alters the saving rate so that the economy reaches the Golden Rule level of capital. What will the marginal product of capital be at the Golden Rule steady state? Compare the marginal product at the Golden Rule steady state to the marginal product in the initial steady state. Explain. d. What will the capital–output ratio be at the Golden Rule steady state? (Hint: For the Cobb–Douglas production function, the capital–output ratio is related to the…