Assume that a country's per-worker production is y = k1/2, where y is output per worker and k is capital per worker. Assume also that 10 percent of capital depreciates per year (= 0.10) 2 and there is no population growth or technological change. a. If the saving rate (s) is 0.4, what are capital per worker, production per worker, and consumption per worker in the steady state? b. Solve for steady-state capital per worker, production per worker, and consumption per worker with s = 0.6. c. Solve for steady-state capital per worker, production per worker, and consumption per worker with s = 0.8. d. Is it possible to save too much? Why?

Exploring Economics
8th Edition
ISBN:9781544336329
Author:Robert L. Sexton
Publisher:Robert L. Sexton
Chapter20: Economic Growth In The Global Economy
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Assume that a country's per-worker production is y = k1/2, where y is output per worker and k
is capital per worker. Assume also that 10 percent of capital depreciates per year (= 0.10) 2 and
there is no population growth or technological change.
a. If the saving rate (s) is 0.4, what are capital per worker, production per worker, and
consumption per worker in the steady state?
b. Solve for steady-state capital per worker, production per worker, and consumption per
worker with s = 0.6.
c. Solve for steady-state capital per worker, production per worker, and consumption per
worker with s = 0.8.
d. Is it possible to save too much? Why?

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