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Consider an economy where the production function is Y-K2/5(EL) 3/5 The depreciation rate is 0.1, the...
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?...
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...
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...
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...
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...
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...
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...
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)...
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...
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...