ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN: 9780190931919
Author: NEWNAN
Publisher: Oxford University Press
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- Consider the Solow growth model with labor growth and no technology growth, i.e., n = 0, x = 0. Output is created by a Cobb-Douglas produc- n0,x tion function combining Labor, Lt, and capital, Kt, such that output, Y+is given by Y₁ = A+ KL Yt 1-a For a given time t, Given a level of Capital, and Investment, It, and a depreciation rate of capital, 8, the level of capital at time t+1 is given by the following law of motion of capital K++1 = Kt - 8Kt + It The labor growth rate in this economy is n = 2%, depreciation is 8 = 4%, the savings rate is s = 25%, and a = 0.3. Initial levels of capital, labor and technology are Ko = 10, Lo = 5, Ao = 1 respectively. The economy is assumed to be closed with no government spending. What is the value for capital per worker at time t = 1? (a) 2.22 (b) 2.57 (c)1.78 (d) 1.82arrow_forwardConsider a numerical example using the Solow Growth Model, for 2 countries. Country A: d=0.1, s=0.3, n=0.01, z=1, F(K,L)=K0.3n0.7 Country B: d=0.1, s=0.2, n=0.01, z=1.5, F(K,L)=K0.4N0.6 Which Country has a higher level of GDP per capita in steady state? O Country A O Country B Not enough informationarrow_forwardIn the Solow growth model, suppose that the per-worker production function is given by y = zk 0.4 with s = 0.15, d = 0.1, and n = 0.02. a. Suppose in country A that z= 1. Calculate the steady-state capital per worker and income per capita in country A. The steady-state capital per worker is (Round to two decimal places as needed.) The steady-state income per capita is. (Round to two decimal places as needed.) b. Suppose in country B that z = 2. Calculate the steady-state capital per worker and income per capita in country B. The steady-state capital per worker is|. (Round to two decimal places as needed.) The steady-state income per capita is (Round to two decimal places as needed.) c. As measured by GDP per capita, how much richer is country B than country A? What does this tell us about the potential differences in total factor productivity to explain differences in standards of living across countries? Country B is times richer than country A, as measured by GDP per capita. This…arrow_forward
- 9. Consider a numerical example using the Solow growth model. Suppose that F(K, N) KO.5N0.5, with d = z = 1, and take a period to be a year. (a) Determine capital per worker, income per capita, and consumption per capita in the steady state. 0.1, s = 0.2, n = 0.01, andarrow_forwardwhen a country adds ideas what is it doing to its productivity and GDP? Which variable in the Solow Model equation is it changing?arrow_forwardPlease solve this question given in The picture. Mathematically?arrow_forward
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