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Chapter 12, Problem 6QAP

a

To determine

To find: Capital stock per effective worker, Output per effective worker, growth rate of output per effective worker, growth rate of output per worker, growth rate of output.

b)

To determine

To find:Capital stock per effective worker, Output per effective worker, growth rate of output per effective worker, growth rate of output per worker, growth rate of output when technological progress is 8%.

c)

To determine

To find:

Whether people are better off or not when number of workers double.

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Consider the continuous-time Solow growth model as discussed in the lecture. The economy is on its balanced growth path with labor augmenting technological progress at rate g and population growth at rate n. The depreciation rate is 8. (a) Derive the dynamic equation of aggregate capital K. (b) Normalize the aggregate capital K by technology A and population L and denote the capital per unit of effective labor as k = K/(AL). Derive the dynamic equation of k .(c) Use the phase diagram to illustrate the steady state level of k and the dynamics of k if k starts from a level lower than the steady state level. (d) Suppose that the economy is on its balanced growth path at time to. Unex- pectedly, the population growth rate drops down to n' <n at to, stays at n' until t1, and resumes to n after t1. How does k respond, between to and t1, and afterwards?
Consider an economy described by the production function: Y = F(K, L) = K^0,3L^0,7 A. What is the per-worker production function? B. Assuming no population growth or technological progress, find the steady-state capital stock per worker, output per worker, and consumption per worker as a function of the saving rate and the depreciation rate.
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Chapter 12 Solutions

Macroeconomics, Student Value Edition Plus MyLab Economics with Pearson eText -- Access Card Package (7th Edition)

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