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Assume you have the following: initial capital per worker (k) i:s...
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...
1. (10 pts). Assume that the per-worker production function is y, = 10.k'. Further, assume that...
1. (10 pts). Assume that the per-worker production function is y, = 10.k'. Further, assume that the saving rate, s = 0.2, the depreciation rate, 8 = 0.4, and the population growth rate, n= 0. Calculate the following: (a) The steady-state values of the capital-labor ratio, k*, output per worker, y, and consumption, c. (b) The new steady-state values of the capital-labor ratio, output, and consumption (ki, yi, and Ci), if there is an increase in the saving rate, so...
3. (15 pts). Assume that the per-worker production function is yr = 20 k'. Further, assume...
3. (15 pts). Assume that the per-worker production function is yr = 20 k'. Further, assume that the saving rate, s = 0.1, the depreciation rate, = 0.125, and the population growth rate, n= 0. Calculate the following: (a) The steady-state values of the capital-labor ratio, k", output per worker, y, and consumption, c. (b) The new steady-state values of the capital-labor ratio, output, and consumption (ki. Yi, and ci) if there is a technological progress and A increases from...
2. (15 pts). Assume that the per-worker production function is y, 5.k Further, assume that the...
2. (15 pts). Assume that the per-worker production function is y, 5.k Further, assume that the saving rate, s = 0.2, the depreciation rate, 8 0.04, and the population growth rate, n- 0. Calculate the following: (a) The steady-state values of the capital-labor ratio, k", output per worker, y, and consumption, c'. (b) The new steady-state values of the capital-labor ratio, output, and consumption (k, yi, and ci), if there is population growth so that n: 0.06. (c) Show your...
Consider an economy such that Output per worker: yt = 2k0.5 Capital per worker: kt Depreciation...
Consider an economy such that Output per worker: yt = 2k0.5 Capital per worker: kt Depreciation rate: 8 = 0.4 Saving rate: s = 0.2 Evolution of capital per worker: kt+1- kt = syt - Skt In the steady state, capital per worker does not change over time Let k* denote the steady state level of capital per worker Question 1.In the steady state, capital per worker is a)8 b)4 c)2 d)1 Question 2.Which one of the following statements is...
Consider an economy such that Output per worker: yt = 2k£.5 Capital per worker: kt Saving...
Consider an economy such that Output per worker: yt = 2k£.5 Capital per worker: kt Saving rate: s = 0.2 Depreciation rate: 8 = 0.15 Workforce growth rate: gN = 0.25 sy-(8+g)k¢ Evolution of capital per worker: kt+1- kt = 1+gN In the steady state, capital per worker does not change over time. Let k* denote the steady state level of capital per worker In the steady state, capital per worker is а) 8 b) 4 c) 2 d) 1...
1. You have the following information on an economy: • The savings rate is 8%. •...
1. You have the following information on an economy: • The savings rate is 8%. • The depreciation rate is 4%. • Output per worker is Y K Ñ = 801 Ñ Solve out for the steady state capital stock and output per worker. You need to show your calculations (you cannot just write a number as your answer) in order to get credit. 2. Suppose the savings rate and depreciation rate remain the same, but there's a change in...
1) Consider an economy with the following the production function: Y = F(K,L) = K^0.4L^0.6 a)...
1) Consider an economy with the following the production function: Y = F(K,L) = K^0.4L^0.6 a) Find output per worker b) Find the marginal product of capital c) Find the steady state level of capital per worker given a savings rate of 0.1, the depreciation rate of 0.2, and population growth of 0.05 d) Show graphically or analytically what will happen if there is a decrease in the rate of depreciation. What effect does this have on steady-state levels of...
Consider an economy such that Capital per effective worker: kt Output per effective worker: yt =...
Consider an economy such that Capital per effective worker: kt Output per effective worker: yt = 2k0:5 Depreciation rate: 8 = 0.16 Saving rate: s= 0.3 Workforce growth rate: &N = 0.2 Technology growth rate: gA = 0.2 Evolution of capital per effective worker : kt+1 - kt = >> 1 _ syt-(6+8N+gA+SNSA)kt 1+gN+SA+SNSA In the steady state, capital per effective worker does not change over time. Let k* denote the steady state level of capital per effective worker. •...
10. Using th e graph below, explain what happens to the steady-state capital per worker (k*)...
10. Using th e graph below, explain what happens to the steady-state capital per worker (k*) if there is an increase in the savings rate. Investment, Depreciation Depreciation 5k Investment sF(k) kCapital per effective worker
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...
1. (10 pts). Assume that the per-worker production function is y, = 10.k'. Further, assume that the saving rate, s = 0.2, the depreciation rate, 8 = 0.4, and the population growth rate, n= 0. Calculate the following: (a) The steady-state values of the capital-labor ratio, k*, output per worker, y, and consumption, c. (b) The new steady-state values of the capital-labor ratio, output, and consumption (ki, yi, and Ci), if there is an increase in the saving rate, so...
3. (15 pts). Assume that the per-worker production function is yr = 20 k'. Further, assume that the saving rate, s = 0.1, the depreciation rate, = 0.125, and the population growth rate, n= 0. Calculate the following: (a) The steady-state values of the capital-labor ratio, k", output per worker, y, and consumption, c. (b) The new steady-state values of the capital-labor ratio, output, and consumption (ki. Yi, and ci) if there is a technological progress and A increases from...
2. (15 pts). Assume that the per-worker production function is y, 5.k Further, assume that the saving rate, s = 0.2, the depreciation rate, 8 0.04, and the population growth rate, n- 0. Calculate the following: (a) The steady-state values of the capital-labor ratio, k", output per worker, y, and consumption, c'. (b) The new steady-state values of the capital-labor ratio, output, and consumption (k, yi, and ci), if there is population growth so that n: 0.06. (c) Show your...
Consider an economy such that Output per worker: yt = 2k0.5 Capital per worker: kt Depreciation rate: 8 = 0.4 Saving rate: s = 0.2 Evolution of capital per worker: kt+1- kt = syt - Skt In the steady state, capital per worker does not change over time Let k* denote the steady state level of capital per worker Question 1.In the steady state, capital per worker is a)8 b)4 c)2 d)1 Question 2.Which one of the following statements is...
Consider an economy such that Output per worker: yt = 2k£.5 Capital per worker: kt Saving rate: s = 0.2 Depreciation rate: 8 = 0.15 Workforce growth rate: gN = 0.25 sy-(8+g)k¢ Evolution of capital per worker: kt+1- kt = 1+gN In the steady state, capital per worker does not change over time. Let k* denote the steady state level of capital per worker In the steady state, capital per worker is а) 8 b) 4 c) 2 d) 1...
1. You have the following information on an economy: • The savings rate is 8%. • The depreciation rate is 4%. • Output per worker is Y K Ñ = 801 Ñ Solve out for the steady state capital stock and output per worker. You need to show your calculations (you cannot just write a number as your answer) in order to get credit. 2. Suppose the savings rate and depreciation rate remain the same, but there's a change in...
Consider an economy such that Capital per effective worker: kt Output per effective worker: yt = 2k0:5 Depreciation rate: 8 = 0.16 Saving rate: s= 0.3 Workforce growth rate: &N = 0.2 Technology growth rate: gA = 0.2 Evolution of capital per effective worker : kt+1 - kt = >> 1 _ syt-(6+8N+gA+SNSA)kt 1+gN+SA+SNSA In the steady state, capital per effective worker does not change over time. Let k* denote the steady state level of capital per effective worker. •...
10. Using th e graph below, explain what happens to the steady-state capital per worker (k*) if there is an increase in the savings rate. Investment, Depreciation Depreciation 5k Investment sF(k) kCapital per effective worker
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