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Use the following table to find the steady-state values of the capital-labor ratio and output if the per-worker product...
An economy has the per-worker production Y = 3k^.5 Where y is output per worker and...
An economy has the per-worker production Y = 3k^.5 Where y is output per worker and k is the capital to labor ratio. The depreciation rate is 0.1, and the population growth rate is 0.05 Total saving is S=0.3Y S is total saving and Y is total output a. What are the steady state values of the capital to labor ratio, output per worker, and consumption? b. Repeat part (a) for saving rate of 0.4. c. Repeat part (a) for...
When St=0.4Yt，k? y? c? Suppose that an economy has the per-worker production function given as: y...
When St=0.4Yt，k? y? c?
Suppose that an economy has the per-worker production function given as: y = 3405 where y is output per worker and k is capital per worker. In addition, national savings is given as: S = 0.37 where S is national savings and Y is total output Use the production and savings functions on your left and the depreciation and population growth rates below to answer the following questions. (Round all numerical responses to one decimal place)...
0.5 Suppose that an economy has the per-worker production function given as: Vt 4kt, where y...
0.5 Suppose that an economy has the per-worker production function given as: Vt 4kt, where y is output per worker and k is capital per worker In addition, national savings is given as: St0.20Y where S is national savings and Y is total output The depreciation rate is d 0.05 and the population growth rate is n 0.05 The steady-state value of the capital-labor ratio, k is 64.00 The steady-state value of output per worker, y is 32.00. The steady-state...
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...
0.5 , where y is output per worker and k Suppose that an economy has the...
0.5 , where y is output per worker and k Suppose that an economy has the per-worker production function given as: Y = 5k is capital per worker. In addition, national savings is given as: S = 0.1074, where S is national savings and Y is total output. The depreciation rate is d = 0.10 and the population growth rate is n = 0.10 The steady-state value of the capital-labor ratio, k is 6.25. The steady-state value of output per...
Suppose that an economy has the per-worker production function given as: y = 345 where y...
Suppose that an economy has the per-worker production function given as: y = 345 where y is output per worker and kis capital per worker. In addition, national savings is given as: S, = 0.3Y where S is national savings and Y is total output Use the production and savings functions on your left and the depreciation and population growth rates below to answer the following questions. (Round all numerical responses to one decimal place.) Depreciation rate (d) = 0.1...
Suppose that an economy has the per-worker production function given as: y = 4k., where y...
Suppose that an economy has the per-worker production function given as: y = 4k., where y is output per worker and k is capital per worker. In addition, national savings is given as: S, = 0.10Y, where S is national savings and Y is total output. The depreciation rate is d = 0.10 and the population growth rate is n = 0.10. The steady-state value of the capital-labor ratio, kis 4.00. The steady-state value of output per worker, y is...
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 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. •...
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...
When St=0.4Yt，k? y? c?
Suppose that an economy has the per-worker production function given as: y = 3405 where y is output per worker and k is capital per worker. In addition, national savings is given as: S = 0.37 where S is national savings and Y is total output Use the production and savings functions on your left and the depreciation and population growth rates below to answer the following questions. (Round all numerical responses to one decimal place)...
0.5 Suppose that an economy has the per-worker production function given as: Vt 4kt, where y is output per worker and k is capital per worker In addition, national savings is given as: St0.20Y where S is national savings and Y is total output The depreciation rate is d 0.05 and the population growth rate is n 0.05 The steady-state value of the capital-labor ratio, k is 64.00 The steady-state value of output per worker, y is 32.00. The steady-state...
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...
0.5 , where y is output per worker and k Suppose that an economy has the per-worker production function given as: Y = 5k is capital per worker. In addition, national savings is given as: S = 0.1074, where S is national savings and Y is total output. The depreciation rate is d = 0.10 and the population growth rate is n = 0.10 The steady-state value of the capital-labor ratio, k is 6.25. The steady-state value of output per...
Suppose that an economy has the per-worker production function given as: y = 345 where y is output per worker and kis capital per worker. In addition, national savings is given as: S, = 0.3Y where S is national savings and Y is total output Use the production and savings functions on your left and the depreciation and population growth rates below to answer the following questions. (Round all numerical responses to one decimal place.) Depreciation rate (d) = 0.1...
Suppose that an economy has the per-worker production function given as: y = 4k., where y is output per worker and k is capital per worker. In addition, national savings is given as: S, = 0.10Y, where S is national savings and Y is total output. The depreciation rate is d = 0.10 and the population growth rate is n = 0.10. The steady-state value of the capital-labor ratio, kis 4.00. The steady-state value of output per worker, y is...
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 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. •...
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...
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