Consider the effects of taxes imposed on both labor and capital income. The production function takes the standard Cobb-Douglas form: Y = Kª (AN)¹-ª The tax rate equals í, saving rate equalss, the rate of technological progress = g, capital depreciation rate = d, and population growth rate = n. The government spends tax revenues on consumption goods, so that government savings are equal to 0. a) Write down the production function in the intensive form. Use the dynamic equation for capital per units of effective labor to compute the value of consumption per units of effective labor in the steady state. b) Compute the golden rule saving rate in the Solow growth model extended to include taxes. c) Use the Basic Solow growth graph with the saving and production functions drawn

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Chapter1: Making Economics Decisions
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Consider the effects of taxes imposed on both labor and capital income. The production function
takes the standard Cobb-Douglas form:
Y = K“ (AN)¯ª
The tax rate equals 7, saving rate equals s, the rate of technological progress = g, capital
depreciation rate = d, and population growth rate = n. The government spends tax revenues on
consumption goods, so that government savings are equal to 0.
a)
Write down the production function in the intensive form. Use the dynamic equation for
capital per units of effective labor to compute the value of consumption per units of
effective labor in the steady state.
b)
Compute the golden rule saving rate in the Solow growth model extended to include
taxes.
Use the Basic Solow growth graph with the saving and production functions drawn
against k, to illustrate the consequences of a rise in the tax rate t. What is the rate of
growth of per capita income in the steady state? Does it depend on the tax rate?
c)
Transcribed Image Text:Consider the effects of taxes imposed on both labor and capital income. The production function takes the standard Cobb-Douglas form: Y = K“ (AN)¯ª The tax rate equals 7, saving rate equals s, the rate of technological progress = g, capital depreciation rate = d, and population growth rate = n. The government spends tax revenues on consumption goods, so that government savings are equal to 0. a) Write down the production function in the intensive form. Use the dynamic equation for capital per units of effective labor to compute the value of consumption per units of effective labor in the steady state. b) Compute the golden rule saving rate in the Solow growth model extended to include taxes. Use the Basic Solow growth graph with the saving and production functions drawn against k, to illustrate the consequences of a rise in the tax rate t. What is the rate of growth of per capita income in the steady state? Does it depend on the tax rate? c)
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