A country’s aggregate production function is ? = 50 ×. The depreciation rate is d =...
- A country’s aggregate production function is ? = 50 ×
. The depreciation rate is
d = 0.1, population growth rate is n = 0.025,
saving rate is s = 0.2.
- What is the steady-state output per worker?
- What is the steady-state consumption per worker?
- What would be the golden steady-state consumption per worker?
Homework Answers
![consumption b) Steady per worker estate (6²) C+B= y c=y-sy c = (1-2yn C= (1-0.2) 4000 (=(0.8) 4004 10% = 32.00] Golda state o](http://img.homeworklib.com/questions/58674cf0-b6f7-11ea-a6f7-d9c5c33e2c67.png?x-oss-process=image/resize,w_560)
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A country’s aggregate production function is ? = 50 ×. The depreciation rate is
d =...
3.) There are two countries, Anihc (country A) and Bapan (country B), with the same production...
3.) There are two countries, Anihc (country A) and Bapan (country B), with the same production function . However, country A has saving rates of 0.2, depreciation rate of 0.2 and population growth of 0.2; while country B has saving rates of 0.1, depreciation rate of 0.15 and population growth of 0.05. Using the Solow model: a.) Find the steady state capital-labor ratio for each country. b.) Find the steady state output per worker, and the steady state consumption per...
1. Assume that an economy described by a Solow model has a per-worker production function given...
1. Assume that an economy described by a Solow model has a per-worker production function given by y- k05, where y is output per worker and k is capital stock per worker (capital-labor ratio). Assume also that the depreciation rate δ is 5%. This economy has no technological progress and no population growth (n 0). Both capital and labor are paid for their marginal products and the economy has been in a steady state with capital stock per worker at...
Suppose a country’s has the following production function: yt = kt1/4, where k and y denote...
Suppose a country’s has the following production function: yt = kt1/4, where k and y denote capital and output respectively. The capital depreciation rate is fixed at ? = 0.1 each period, i.e., kt+1 = kt ? 0.1kt + skt1/4, where s > 0 represents the saving rate. (a) Calculate the steady state of capital and output: k? =?y? =? (b) Is this steady states stable? (c) Suppose there are only two usages of output, con- sumption and saving(investment), i.e.,...
pls solve parts d, e, f Suppose Country X's production function is given by F(K, AN)...
pls solve parts d, e, f
Suppose Country X's production function is given by F(K, AN) = 206,05(A, N.)05 where K, is the capital and A, N, is the effective worker. The evolution of the capital stock is given by K+1 = 0.74K, +1, where the depreciation rate is 26%. Additionally, the saving rate is 36%, the population growth rate is 4% and the technological growth rate is 10%. (a) Derive and show that in the Solow growth model, the...
Assume an economy is populated by L workers with total capital stock K. Production of this...
Assume an economy is populated by L workers with total capital stock K. Production of this KL. Suppose household's saving rate s economy is organized by Y 0.6, and firm's depreciation rate of capital d = 0.1. The rule for accumulation of captial in per worker terms is of the time-to-build type: A k = i - ôk Standard Transformation of the Production Function a. Show that the production function is constant return to scale (CRS) b. Rewrite the production...
There are two countries, Anihc (country A) and Bapan (country B), with the same production function...
There are two countries, Anihc (country A) and Bapan (country B), with the same production function fk=5k0.5. However, country A has saving rates of 0.2, depreciation rate of 0.2 and population growth of 0.2; while country B has saving rates of 0.1, depreciation rate of 0.15 and population growth of 0.05. Using the Solow model: Find the steady state capital-labor ratio for each country. Find the steady state output per worker, and the steady state consumption per worker for each...
ALL OF THE QUESTIONS PLS!!! Assume an economy is populated by L workers with total capital stock K. Production of this...
ALL OF THE QUESTIONS PLS!!!
Assume an economy is populated by L workers with total capital stock K. Production of this KL. Suppose household's saving rate s economy is organized by Y 0.6, and firm's depreciation rate of capital d = 0.1. The rule for accumulation of captial in per worker terms is of the time-to-build type: A k = i - ôk Standard Transformation of the Production Function a. Show that the production function is constant return to scale...
all but part a 2. (Population growth and technology growth) Consider an economy that is described...
all but part a
2. (Population growth and technology growth) Consider an economy that is described by the production function Y depreciation rate of capital is 6 n 0.05 and the technology growth rate is g = 0.1 K (LE). Moreover the 0.15, the population growth rate is (a) What is the per effective worker production function, that is y ? What is the marginal product of capital, that is ? (b) If the saving rate is s 0.3, find...
the domestic interest rate would leduction in E C) an increase in E D) an increase...
the domestic interest rate would leduction in E C) an increase in E D) an increase in investment E) none of the above Answer Questions (30 points, 20 questions, 1.5 points for cach question) 1. For this question this question, assume that the economy is initially operating at the natural level of output. A monetary expansion will cause in the real wage in the medium run. con will cause (increase/decrease/no change) 2. Use the following information to answer the questions...
d) (7pts) Suppose that the production function is Y = 12K1/3 (EL)23 and capital lasts for...
d) (7pts) Suppose that the production function is Y = 12K1/3 (EL)23 and capital lasts for an average of 10 years so that 10% of capital wears out every year (depreciate rate = 1/10 = 0.1 or 10%). Assume that the rate of growth of population is 4 percent, and the rate of technological growth is 2 percent. 1. (1pt) Derive the equation for output per effective worker y = Y/(EL) = f(k). 2. (3pts) Calculate the Golden Rule level...
1. Assume that an economy described by a Solow model has a per-worker production function given by y- k05, where y is output per worker and k is capital stock per worker (capital-labor ratio). Assume also that the depreciation rate δ is 5%. This economy has no technological progress and no population growth (n 0). Both capital and labor are paid for their marginal products and the economy has been in a steady state with capital stock per worker at...
pls solve parts d, e, f
Suppose Country X's production function is given by F(K, AN) = 206,05(A, N.)05 where K, is the capital and A, N, is the effective worker. The evolution of the capital stock is given by K+1 = 0.74K, +1, where the depreciation rate is 26%. Additionally, the saving rate is 36%, the population growth rate is 4% and the technological growth rate is 10%. (a) Derive and show that in the Solow growth model, the...
Assume an economy is populated by L workers with total capital stock K. Production of this KL. Suppose household's saving rate s economy is organized by Y 0.6, and firm's depreciation rate of capital d = 0.1. The rule for accumulation of captial in per worker terms is of the time-to-build type: A k = i - ôk Standard Transformation of the Production Function a. Show that the production function is constant return to scale (CRS) b. Rewrite the production...
ALL OF THE QUESTIONS PLS!!!
Assume an economy is populated by L workers with total capital stock K. Production of this KL. Suppose household's saving rate s economy is organized by Y 0.6, and firm's depreciation rate of capital d = 0.1. The rule for accumulation of captial in per worker terms is of the time-to-build type: A k = i - ôk Standard Transformation of the Production Function a. Show that the production function is constant return to scale...
all but part a
2. (Population growth and technology growth) Consider an economy that is described by the production function Y depreciation rate of capital is 6 n 0.05 and the technology growth rate is g = 0.1 K (LE). Moreover the 0.15, the population growth rate is (a) What is the per effective worker production function, that is y ? What is the marginal product of capital, that is ? (b) If the saving rate is s 0.3, find...
the domestic interest rate would leduction in E C) an increase in E D) an increase in investment E) none of the above Answer Questions (30 points, 20 questions, 1.5 points for cach question) 1. For this question this question, assume that the economy is initially operating at the natural level of output. A monetary expansion will cause in the real wage in the medium run. con will cause (increase/decrease/no change) 2. Use the following information to answer the questions...
d) (7pts) Suppose that the production function is Y = 12K1/3 (EL)23 and capital lasts for an average of 10 years so that 10% of capital wears out every year (depreciate rate = 1/10 = 0.1 or 10%). Assume that the rate of growth of population is 4 percent, and the rate of technological growth is 2 percent. 1. (1pt) Derive the equation for output per effective worker y = Y/(EL) = f(k). 2. (3pts) Calculate the Golden Rule level...
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