Some data at first might seem puzzling: The share of GDP devoted to investment was similar for Country liberty and Country Techno from 1970 - 2001. However, during these same years Country Techno had a 6 percent growth rate of average annual income per person, while Country liberty had only a 2 percent growth rate. If the saving rates were the same, why were the growth rates so different?

Some data at first might seem puzzling: The share of GDP devoted to investment was similar for Country liberty and Country Techno from 1970 - 2001. However, during these same years Country Techno had a 6 percent growth rate of average annual income per person, while Country liberty had only a 2 percent growth rate. If the saving rates were the same, why were the growth rates so different?

Economics:

10th Edition

ISBN:9781285859460

Author:BOYES, William

Publisher:BOYES, William

Chapter16: Economic Growth

Section: Chapter Questions

Problem 3E

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Question 1Some data at first might seem puzzling: The share of GDP devoted to investment was similar for Country liberty and Country Techno from 1970 - 2001. However, during these same years Country Techno had a 6 percent growth rate of average annual income per person, while Country liberty had only a 2 percent growth rate. If the saving rates were the same, why were the growth rates so different?
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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 productin 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 marginal product of…
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 productin 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 marginal product of…
2. You are a manager at a large shampoo company and on the search for future markets. You identified two low income countries that look very dynamic: Country A has a GDP/capita growth rate of -1% and population growth rate of 9%. Country B has a GDP/capita growth rate of 7% and constant population. (a) Discuss which country you should focus on for your expansion. (b) Discuss if your answer would change if the products you are trying to sell are cars.
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 = (6 + 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.
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 6 = 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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An economy with a population growth rate of 1.5 percent and a rate of technological growth of 2.5 percent is in the steady state. If the capital- output ratio is 2, depreciation amounts to 10 percent of GDP, and capital income is 25 percent of GDP, then this economy would need to__________ the Golden Rule steady state. O. increase its saving rate to reach O. do nothing to its saving rate because this economy is already at O. decrease its saving rate to reach O. decrease the steady-state stock of capital per effective worker to reach
Question 1:In Ghana, the capital share of GDP is about 40 percent, the average growth in output is about2 percent per year, the depreciation rate is about 3 percent per year, and the capital–output ratiois about 1.5. Suppose that the production function is Cobb–Douglas and that Ghana has beenin a steady state.a. What must the saving rate be in the initial steady state? [Hint: Use the steady-staterelationship, 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 GoldenRule level of capital. What will the marginal product of capital be at the Golden Rule steadystate? Compare the marginal product at the Golden Rule steady state to the marginal productin 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 marginal product…