If y = k^1/2, the country saves 20 percent of its output each year, and the steady state level of capital per worker is...
If y = k^1/2, the country saves 20 percent of its output each year, and the steady state level of capital per worker is 25, then the steady state levels of investment per worker and consumption per worker are?
Homework Answers
Steady state level of investment per worker is 1 and steady state level of consumption per worker is 4
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If y = k^1/2, the country saves 20 percent of its output each year, and the steady state level of capital per worker is...
1. Country A and country B both have the production function Y = F(K,L)= VKL. (5...
1. Country A and country B both have the production function Y = F(K,L)= VKL. (5 Points) Does this production function have constant returns to scale? Explain. (5 Points) What is the per-worker production function, y=f(k)? (10 Points) Assume that neither country experiences population growth or technological progress and that 5 percent of capital depreciates each year. Assume further that country A saves 10 percent of output each year and country B saves 20 percent of output each year. Using...
1. lounchPad LounchPad . Country Country A and country B both have the production function Y = F(K, L) = K1/312/3 D...
1. lounchPad LounchPad . Country Country A and country B both have the production function Y = F(K, L) = K1/312/3 Does this production function have constant returns to scale? Explain. b. What is the per-worker production function, y = f(k)? c. Assume that neither country experiences population growth or technological progress and that 20 percent of capital depreciates each year. Assume further that country A saves 10 percent of output each year and country B saves 30 percent of...
WRITING MUST BE CLEAR TO READ! 3. Country A and country B both have the production...
WRITING MUST BE CLEAR TO READ!
3. Country A and country B both have the production function Y = F(K, L) = K^(1/3) L ^(2/3). 3a. Does this production function have constant returns to scale? Explain. 3b. What is the per-worker production function, y = f(k)? 3c. Assume that neither country experiences population growth or technological progress and that 20 percent of capital depreciates each year. Assume further that country A saves 10 percent of output each year and country...
A country has the following production function: Yt=Kt^0.5Lt^0.5 Assume that 5 percent of of capital depreciates...
A country has the following production function: Yt=Kt^0.5Lt^0.5 Assume that 5 percent of of capital depreciates each year and the country saves 20 percent of output each year. What is the per worker production function, What is the steady-state level of capital per worker? What is the steady-state level of output per worker? The steady-state level of consumption per worker is: The steady-state level of saving per person is: The growth rate of output per person in the steady-state is:
2. Consider two countries: Mahaliaville and UWIville. Both countries have the same production: Y = K...
2. Consider two countries: Mahaliaville and UWIville. Both countries have the same production: Y = K Neither country experiences population growth nor technological progress and both countries have a depreciation rate of 10%. Ma- haliaville saves 10 percent of ouput each year and UWIville saves 30% of output each year. (a) Find the steady-state levels of capital per worker, income per worker and consumption per worker for each country. (b) If both countries start with a capital stock per worker...
2. Consider two countries: Mahaliaville and UWIville. Both countries have the same production: Y = K...
2. Consider two countries: Mahaliaville and UWIville. Both countries have the same production: Y = K L Neither country experiences population growth nor technological progress and both countries have a depreciation rate of 10%. Ma- haliaville saves 10 percent of ouput each year and UWIville saves 30% of output each year. (a) Find the steady-state levels of capital per worker, income per worker and consumption per worker for each country. (b) If both countries start with a capital stock per...
pls solve parts f,g,h Suppose Country X's initial capital per effective worker (K/AN) ratio is 16,...
pls solve parts f,g,h
Suppose Country X's initial capital per effective worker (K/AN) ratio is 16, while Country Z's initial capital per effective worker (KAN) ountries have the same production function: F(K, A,N) = 10K, 5(AN)05 (a) Derive the output per effective worker. The evolution of the capital stock is given by K +1 = (1 - 6)K, + I, where is the depreciation rate. (b) Derive and show that in the long-run growth model, the steady state capital per...
B. Suppose that the country wants to increase its steady-state value of output per worker. What s...
b. Suppose that the country wants to increase its steady-state value of output per worker. What steady-state value of the capital-labor ratio is needed to double the steady-state value of output per capita? Round to one decimal place if needed. Otherwise, keep as a whole number. Knowing your answer in part b, what fraction of income would households have to save to achieve a steady-state level of output per worker that is twice as high? Round to one decimal place...
7. In a country the production function is y = k12. The fraction of output invested,...
7. In a country the production function is y = k12. The fraction of output invested, y, is 0.25. The depreciation rate, 8, is 0.05. a. What are the steady-state levels of capital per worker, k, and output per worker, y? Continue tns tuo up to year b. In year 1, the level of capital per worker is 16. In a table such as the following one, show how capital and output change over time (the otion Change in Capital...
Consider an economy in a steady state with population growth rate η, a rate of capital depreciati...
Consider an economy in a steady state with population growth rate η, a rate of capital depreciation δ , and a rate of technological progress g. a) At the steady state Δk = 0, where k equals capital per effective worker. What condition must be met for this to hold? Describe the condition in words as well as mathematical expressions. b) Describe in words what is maximized at the Golden Rule level of k. c) What mathematical condition must be...
1. Country A and country B both have the production function Y = F(K,L)= VKL. (5 Points) Does this production function have constant returns to scale? Explain. (5 Points) What is the per-worker production function, y=f(k)? (10 Points) Assume that neither country experiences population growth or technological progress and that 5 percent of capital depreciates each year. Assume further that country A saves 10 percent of output each year and country B saves 20 percent of output each year. Using...
1. lounchPad LounchPad . Country Country A and country B both have the production function Y = F(K, L) = K1/312/3 Does this production function have constant returns to scale? Explain. b. What is the per-worker production function, y = f(k)? c. Assume that neither country experiences population growth or technological progress and that 20 percent of capital depreciates each year. Assume further that country A saves 10 percent of output each year and country B saves 30 percent of...
WRITING MUST BE CLEAR TO READ!
3. Country A and country B both have the production function Y = F(K, L) = K^(1/3) L ^(2/3). 3a. Does this production function have constant returns to scale? Explain. 3b. What is the per-worker production function, y = f(k)? 3c. Assume that neither country experiences population growth or technological progress and that 20 percent of capital depreciates each year. Assume further that country A saves 10 percent of output each year and country...
2. Consider two countries: Mahaliaville and UWIville. Both countries have the same production: Y = K Neither country experiences population growth nor technological progress and both countries have a depreciation rate of 10%. Ma- haliaville saves 10 percent of ouput each year and UWIville saves 30% of output each year. (a) Find the steady-state levels of capital per worker, income per worker and consumption per worker for each country. (b) If both countries start with a capital stock per worker...
2. Consider two countries: Mahaliaville and UWIville. Both countries have the same production: Y = K L Neither country experiences population growth nor technological progress and both countries have a depreciation rate of 10%. Ma- haliaville saves 10 percent of ouput each year and UWIville saves 30% of output each year. (a) Find the steady-state levels of capital per worker, income per worker and consumption per worker for each country. (b) If both countries start with a capital stock per...
pls solve parts f,g,h
Suppose Country X's initial capital per effective worker (K/AN) ratio is 16, while Country Z's initial capital per effective worker (KAN) ountries have the same production function: F(K, A,N) = 10K, 5(AN)05 (a) Derive the output per effective worker. The evolution of the capital stock is given by K +1 = (1 - 6)K, + I, where is the depreciation rate. (b) Derive and show that in the long-run growth model, the steady state capital per...
b. Suppose that the country wants to increase its steady-state value of output per worker. What steady-state value of the capital-labor ratio is needed to double the steady-state value of output per capita? Round to one decimal place if needed. Otherwise, keep as a whole number. Knowing your answer in part b, what fraction of income would households have to save to achieve a steady-state level of output per worker that is twice as high? Round to one decimal place...
7. In a country the production function is y = k12. The fraction of output invested, y, is 0.25. The depreciation rate, 8, is 0.05. a. What are the steady-state levels of capital per worker, k, and output per worker, y? Continue tns tuo up to year b. In year 1, the level of capital per worker is 16. In a table such as the following one, show how capital and output change over time (the otion Change in Capital...
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