Macroeconomics
Macroeconomics
10th Edition
ISBN: 9780134896441
Author: ABEL, Andrew B., BERNANKE, Ben, CROUSHORE, Dean Darrell
Publisher: PEARSON
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Chapter 6, Problem 7NP

A

To determine

To ascertain: Provide expressions regarding national saving for each worker and also about the steady level of investment for each worker as the functions of capital-labor worker, represented by k.

B

To determine

To ascertain: By repeating the solution of the above part and then compare those results.

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Suppose that the production function for an economy is given by Y = K1/4L3/4.  The depreciation rate is 4%, the saving rate is 12%, Suppose that now there is labor augmenting technology, the rate of labor-augmenting technological is 2 percent. At what rate does total output, output per worker, and output per effective worker grow?
Suppose that an economy has the following production function: Y = F(K, LE) = K1/2(LE)!/2 Assume that the rate of depreciation is 5 percent per year (d = .05), the rate of population growth is 3 percent per year (n = .03), the rate of labor efficiency growth is 3 percent per year (g=.03) and the saving rate is 60 percent (s = 0.6). Calculate the per effective worker production function, the steady-state levels of capital per effective worker (k*), output per effective worker (y*), consumption per effective worker (c*), and investment per effective worker (i*) %D %3D
Suppose that the production function is Y= 10(K)1/4 (L)3/4 and capital lasts for an average of 50 years so that 2% of capital wears out every year. Assume that the rate of growth of population equals 0. If the saving rate, s =0.128, calculate the steady-state level of capital per worker, output per worker, consumption per worker, saving and investment per worker and depreciation per worker.
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