a) Draw a general production function, investment function, and depreciation line.
b) Show the equilibrium K/N and Y/N. Now assume higher savings rate (S0 to S1). What happens? Show graphically and discuss verbally.
c) Why can growth not be sustained with ever increasing savings rates?
d) What does the depreciation line mean and how does it fit into your discussion?
Let:
Let the savings rate = 15% and the depreciation rate = 10%

a) Draw a general production function, investment function, and depreciation line. b) Show the equilibrium K/N...
1. (The AK Model) Consider an economy with an aggregate production function given by y = F(K) = AK Capital is the only relevant factor of production. A is fixed and represents the productivity of capital. The law of motion for capital is just as in the neoclassical model where s and δ are the savings rate and depreciation rate, respectively. a) Show whether F(K) exhibits constant, decreasing or increasing returns to scale. Com- pute the marginal product of capital....
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...
Production Function: Yt = 10Kt^0.4 Lt^0.6 Consumption Function: Ct = 0.7Yt Depreciation rate: 10% (i.e. δ= 0.1) Population growth rate: 3% (i.e. n= 0.03) With this production function, it can be shown that MPK= 4Kt^-0.6Lt^0.6 = 4kt^-0.6 and MPL= 6Kt^0.4 Lt^-0.4= 7k^t0.4 Suppose economy is in year 2010 and policy makers decided to adjust their policy to achieve the Golden Rule level of consumption. Graphically show what happens to per capita income (yt), consumption (ct), and investment (it) over time...
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)...
1. Solow growth model: a. Draw the steady-state equilibrium by drawing the savings line and the investment line. Show the steady-state values of savings, investment and capital per worker. b. On the same graph, also draw the output per worker (or per-worker production function) line. At the steady-state, mark the level of consumption per worker and savings per worker. c. What is the growth rate of yt, Ct, kt (per-worker variables, represented with an "upperbar" in class) in the steady-state?...
Solow growth model: 1. a. Draw the steady-state equilibrium by drawing the savings line and the investment line. Show the steady-state values of savings, investment and capital per worker. b. On the same graph, also draw the output per worker (or per-worker production function) line. At the steady-state, mark the level of consumption per worker and savings per worker. c. What is the growth rate of yYt, Ct, kt (per-worker variables, represented with an "upperbar" in class) in the steady-state?...
Please explain and show me the
process with answer. Thank you!
1. (The AK Model) Consider an economy with an aggregate production function given by Y = F(K) = AK Capital is the only relevant factor of production. A is fixed and represents the productivity of capital. T he law of motion for capital is just as in the neoclassical model where s and δ are the savings rate and depreciation rate, respectively. a) Show whether F(K) exhibits constant, decreasing...
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...
1. Let the production function for an economy by given by Y=AK1/2L1/2 where Y is output, K is capital, L is labor and A is “ideas.” a. If L=25, A=10, the savings rate is ¼ and the depreciation rate is ½, what will the steady-state values of output, capital and consumption be? b. On a graph, show what will happen to steady-state output and capital of there is a decrease in the depreciation rate. 2. As capital increases, the marginal...
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...