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For question 3, assume the following about an economy: 1. y = f(k)=k", where a = 0.25 2. S=0.3 3. 8=0.2 4. n=0.05 5...
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...
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...
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...
parts a-e please °uestion #3 Suppose that the economy is summarized by the following Solow economy...
parts a-e please
°uestion #3 Suppose that the economy is summarized by the following Solow economy with technological progress: Production Function: Y = 10K0-3(LE)0.7 Savings rte, s= 0.2 Depreciation rate: 10% (ie, δ 0.1). Population growth rate: 2% (ie, n 02). Technological growth rate: 1% (ie, g ,01). Derive the per effective worker production function for this economy. a. b. Based on your answer in part a above, derive the formula for marginal product of capital (MPK) and show that...
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...
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...
Consider an economy with the following production function zf(k ∗ ) = z (k ∗ )^0.5...
Consider an economy with the following production function zf(k ∗ ) = z (k ∗ )^0.5 1. Solve for golden rule capital per worker and optimal savings rate using the equation characterizing the best steady state. Then, you can back out optimal saving rate given that the best capital per worker. 2. Assume that we are at the steady state with a saving rate s1 < sgold. If the government increases the saving rate up to sgold through policies, what...
3)- Consider an economy with the production function: Y=4K0.6 No.4, in the framework of the Solow...
3)- Consider an economy with the production function: Y=4K0.6 No.4, in the framework of the Solow Model, with usual definitions. Suppose, the labor force is growing at 1% a year, depreciation rate is 4%, and saving rate is 20%. (Total 17 points) a)- Find the steady state equilibrium of per worker levels of capital, output, and consumption. (4) b)- Find the golden rule saving rate, and golden rule per worker levels of output, capital, and consumption. (4) c)- How much...
5. Calibrated Cobb-Douglas Growth Model Assume an economy has the following production function: Y = F(K,...
5. Calibrated Cobb-Douglas Growth Model Assume an economy has the following production function: Y = F(K, AL) = K 0.4 (AL)0.6. (a) Write down the production function per effective worker. (20 marks) (b) For this economy, the savings rate is 20%, the depreciation rate is 10% per year, the population growth rate is 2% per year, and the technology growth rate is 3% per year. Calculate the steady-state capital stock per effective worker, output per effective worker, and consumption per...
An economy produces with the production technology Y = F(K, EL) = K^1/3 (EL)^2/3, where E...
An economy produces with the production technology Y = F(K, EL) = K^1/3 (EL)^2/3, where E is a labor-augmenting technology. Population grows at 2% per year and E grows at 3% per year. The depreciation rate is 5% and the saving rate is 40%. The economy is in steady state. a. What is the growth rate of each of the following: K/EL, Y/EL, EL, Y, Y/L, K/Y, C b. At what rate do wages and the capital rental rate grow?...
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...
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...
parts a-e please
°uestion #3 Suppose that the economy is summarized by the following Solow economy with technological progress: Production Function: Y = 10K0-3(LE)0.7 Savings rte, s= 0.2 Depreciation rate: 10% (ie, δ 0.1). Population growth rate: 2% (ie, n 02). Technological growth rate: 1% (ie, g ,01). Derive the per effective worker production function for this economy. a. b. Based on your answer in part a above, derive the formula for marginal product of capital (MPK) and show that...
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...
3)- Consider an economy with the production function: Y=4K0.6 No.4, in the framework of the Solow Model, with usual definitions. Suppose, the labor force is growing at 1% a year, depreciation rate is 4%, and saving rate is 20%. (Total 17 points) a)- Find the steady state equilibrium of per worker levels of capital, output, and consumption. (4) b)- Find the golden rule saving rate, and golden rule per worker levels of output, capital, and consumption. (4) c)- How much...
5. Calibrated Cobb-Douglas Growth Model Assume an economy has the following production function: Y = F(K, AL) = K 0.4 (AL)0.6. (a) Write down the production function per effective worker. (20 marks) (b) For this economy, the savings rate is 20%, the depreciation rate is 10% per year, the population growth rate is 2% per year, and the technology growth rate is 3% per year. Calculate the steady-state capital stock per effective worker, output per effective worker, and consumption per...
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