What will the capital-output ratio be at the Golden Rule steady state? (Hint: For the Cobb-Douglas production function, the capital-output ratio is related to the marginal product of capital.)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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In the United States, the capital share of GDP is
about 30 percent; the average growth in output
is about 3 percent per year, the depreciation rate
is about 4 percent per year; and the capital-out-
pút ratio is about 2.5. Suppose that the produc-
tion function is Cobb-Douglas, so that the capi-
tal share in output is constant, and that the
United States has been in a steady state.
Transcribed Image Text:In the United States, the capital share of GDP is about 30 percent; the average growth in output is about 3 percent per year, the depreciation rate is about 4 percent per year; and the capital-out- pút ratio is about 2.5. Suppose that the produc- tion function is Cobb-Douglas, so that the capi- tal share in output is constant, and that the United States has been in a steady state.
d. What will the capital-output ratio be at the
Golden Rule steady state? (Hint: For the
Cobb-Douglas production function, the
capital-output ratio is related to the marginal
product of capital.)
Transcribed Image Text:d. What will the capital-output ratio be at the Golden Rule steady state? (Hint: For the Cobb-Douglas production function, the capital-output ratio is related to the marginal product of capital.)
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