In the United States, the capital share of GDP is about 30 percent; the average growth in output is abour 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. a. What must the saving rate be in the initial steady state? (Hint: Use the steady-state rela- tionship, sy = (8 +n+ g)k.]

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
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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.
a. What must the saving rate be in the initial
steady state? [Hint: Use the steady-state rela-
tionship, sy = (8 + n + g)k.]
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. a. What must the saving rate be in the initial steady state? [Hint: Use the steady-state rela- tionship, sy = (8 + n + g)k.]
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