Consider two identical economies, A and B, that differ only in their known growth rates of the money supply given by zĄ and ZB. Assume ZĄ > ZB. Where is output higher?
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- Consider an economy with a Cobb-Douglas production function with α = 1/3 that begins in steady state with a growth rate of technological progress of g of 2 percent. Consider what happens when g increases to 3 percent. (a) What is the growth rate of output per worker before the change? What happens to this growth rate in the long run? (b) Perform a growth accounting exercise for the economy, decomposing the growth rate in output per capita into components contributed by capital per capita growth and technology growth. What is the contribution of the change in g to output per capita growth according to this formula? (c) In what sense is the growth accounting result in part b producing a misleading picture of this experiment? Explain why this is the case.Exercise 4: Growth and capital over-accumulationSuppose two countries, A and B, with the same production function Y = KαL1−α. Thevalue of α is 0.30, the growth rate of population is 2% and the depreciation rate is 5%.a) Show that with price-taking firms the share of labor must be 1 − α.b) Compute the stock of capital, output and consumption per unit of labor in the steadystate if the savings rates were 25% for country A and 35% for country B.c) Compare both economies to the Golden Rule.d) Explain what would happen to both countries if suddenly their savings rate becamethe Golden Rule savings rate.Consider the following (made-up) statistics for some econ-omies. Assume the exponent on capital is 1/3 and that the labor composition is unchanged. For each economy, compute the growth rate of TFP.(a) A European economy: gY/L = 0.03, gK/L = 0.03.(b) A Latin American economy: gY/L = 0.02, gK/L = 0.01.(c) An Asian economy: gY/L = 0.06, gK/L = 0.15.
- Consider the Solow growth model with concave production function as studied in class. Supposethe economy is initially in the picture below, and currently has the level of capital stock of K0. What wouldhappen to the dynamics of capital accumulations when depreciation rate increases? Graphically denote thedirection and the speed of change/accumulation/decumulation of the capital stock, then verbally explain whythey move like so.7. 1. Consider a neoclassical growth economy described by the following.•Yt = K0.3t ·L0.7t (aggregate production function)•s = 0.35 (saving rate)•δ = 0.10 (depreciation rate)•n = 0.01 (population growth rate)•L1 = 120 (initial population)•K1 = 160 (initial capital stock)•g = 0 (technological growth rate)Compute K, Y , k, y, and c for the first three periods. Please report numerical answersto two decimal points. (a) K1 = ; Y1 = ; k1 = ; y1 = ; c1 =(b) K2 = ; Y2 = ; k2 = ; y2 = ; c2 =(c) K3 = ; Y3 = ; k3 = ; y3 = ; c3 =Consider an competitive economy with interest rate r =MPK=0.05,capital depreciation rate o = 0.03, technology growth rate g = 0.03, and populationgrowth rate n = 0.02(1) Why should we be interested in the Golden Rule steady state of an economy? (2) Is the economy depicted above running on its Golden Rule steady state? If yes,explain how you get your answer. If no, what should the government do to achievethe Golden rule steady state?(3) It is said that the Golden Rule steady state gives the greatest growth rate of consumption per capita. True or False? Explain your answer.(4) It is said that population is usually a burden to economic growth. So if we canreduce the population growth rate from n = 0.02 to n = 0.01, everyone will be betteroff, in the sense of enjoying greater growth rate of consumption in the new GoldenRule steady state. True or False? Explain your answer.
- 3 Assume a closed economy, perfectly elastic labor supply, and linear technology. Suppose the incremental capital-output ratio (ICOR) is 3, the depreciation rate is 3%, and the gross savings rate is 10%. Use the Harrod-Domar growth equation to determine the rate of growth. What would the gross savings rate have to be to achieve 5% growth? Assuming a perfectly elastic labour supply, state one criticism of this model from an exogenous growth theory viewpoint and another criticism of this model from an endogenous growth theory viewpoint.Would the following events usually lead to capital deepening? Why or why not? A weak economy in which businesses become reluctant to make long-term investments in physical capital. A rise in international trade. A trend in which many more adults participate in continuing education courses through their employers and at colleges and universities.What is linear stages of growth model in ecomonics? Explain by your own understanding.
- Please no written by hand and graph Consider a small world that consists of two different countries, a developed and a developing country. In both countries, assume that the production function takes the following form: Y = F (K, LE) = K¹/4 (LE) 3/4, where Y is output, K is capital stock, L is total employment and E is labour augmenting technology. (a) Does this production function exhibit constant returns to scale in K and L? Explain. (b) Express the above production function in its intensive form (i.e., output per-effective worker y as a function of capital per effective worker k). (c) Solve for the steady-state value of y as a function of saving rate s, population growth rate n, technological progress g, and capital depreciation rate 6. (d) The developed country has a savings rate of 30% and a population growth rate of 2% per year. Meanwhile, the developing country has a savings rate of 15% and population growth rate of 5% a year. Technology evolves at the rate of 8% and 2% in…Consider an economy that has access to a production technology Y = AKαL1−α where Y is output, A is the level of technology, K is capital and L is the amount of labor in the economy. Capital evolves according to K˙ = sY (thus, the depreciation rate δ = 0). The x˙ population growth rate is n. (Throughout, gx = x , where x can be any of the variables in the model.) (a) Assume that technology is determined by A = BKφ What sort of endogenous growth model is this? Find K/K in terms of the K, L, and other parameters of the model.Consider an economy A described by the production function: Y = F(K, L) = K0.3L0.7. In economy B, everything is similar to economy A, except, saving rate is 40%. Explain how steady state output per worker, consumption per worker and golden rule level of capital stock will differ from those of country A