. Consider a Solow growth model in which the production function is Yt = 1/2 t AK/2N ¹/², where A = 1. Moreover, assume that the depreciation rate is d = 0.02, the rate of population growth is n = 0.02, and the saving rate is s = 0.2.

Exploring Economics
8th Edition
ISBN:9781544336329
Author:Robert L. Sexton
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Chapter20: Economic Growth In The Global Economy
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2. Consider a Solow growth model in which the production function is Yt
AK²N₁¹/2, where A = 1. Moreover, assume that the depreciation rate is d = 0.02, the
rate of population growth is n = 0.02, and the saving rate is s =
= 0.2.
a.
Compute the value of the capital stock per worker in steady state.
b. Draw a graph that represents the steady-state equilibrium of the model.
c. Suppose that the capital-labor ration in year t is 90. What will the level of the capital-
labor ratio be in year t+1? Will it increase or decrease in future periods? Explain.
d. Compute the rate of change of the capital labor ratio between time t and t + 1. How
does it compare to the rate of growth of the capital-labor ratio in steady state?
Transcribed Image Text:= 2. Consider a Solow growth model in which the production function is Yt AK²N₁¹/2, where A = 1. Moreover, assume that the depreciation rate is d = 0.02, the rate of population growth is n = 0.02, and the saving rate is s = = 0.2. a. Compute the value of the capital stock per worker in steady state. b. Draw a graph that represents the steady-state equilibrium of the model. c. Suppose that the capital-labor ration in year t is 90. What will the level of the capital- labor ratio be in year t+1? Will it increase or decrease in future periods? Explain. d. Compute the rate of change of the capital labor ratio between time t and t + 1. How does it compare to the rate of growth of the capital-labor ratio in steady state?
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