Consider the Solow growth model. Suppose that F(K, N) = zK^a N^1-a, where a = 0.3. Also, assume that capital depreciation rate is 10% (that is d = 0.1), savings rate is 25% (that is s = 0.25), populations growth rate is 2% (that is n = 0.02), and z = 2. • First, determine capital per worker, income per capita, and consumption per capita in the steady state. • Second, assume that the savings rate has increased to 40% but the total factor productivity decreases to 1. Discuss the effect of savings and productivity on the steady state level of consumption per work

Exploring Economics
8th Edition
ISBN:9781544336329
Author:Robert L. Sexton
Publisher:Robert L. Sexton
Chapter20: Economic Growth In The Global Economy
Section: Chapter Questions
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Consider the Solow growth model. Suppose that F(K, N) = zK^a N^1-a,
where a = 0.3. Also, assume that capital depreciation rate is 10% (that is d = 0.1), savings rate
is 25% (that is s = 0.25), populations growth rate is 2% (that is n = 0.02), and z = 2.
• First, determine capital per worker, income per capita, and consumption per capita in the
steady state.
• Second, assume that the savings rate has increased to 40% but the total factor productivity
decreases to 1. Discuss the effect of savings and productivity on the steady state level of
consumption per worker.

 

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