The change in the output per capita in DVC and IAC.

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Chapter 42, Problem 1P

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The change in the output per capita in DVC and IAC.

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Question I - Solow Model without Population or Technology Growth Consider the Solow growth model with no population growth and no technology growth, i.e., n = x = 0. Output is created by a Cobb-Douglas production function combining Labor, Lt, and capital, Kt, such that output Yt is given by Y₁ = A+ KL 1-α = = Recall that, without population growth, Lt Lo and assume that Lo 1. Furthermore, recall that, without technology growth, At Ao and assume that A0 = 1. The law of motion for capital per worker is = kt+1 = (1 − 6) kt + sAtko. (1) Assume that the savings rate is s = 0.2, the depreciation rate is 8 = 0.1, and that the capital share is a = 0.3. 1. Use equation (1) to solve for the steady state level of capital, kss, (hint, replace kss in that equation on both sides) kss = What is the steady state level of capital? (Replace the numbers in the expression) = 2. Suppose that this economy starts with ko 1. Does capital grow or fall over time? What is the maximum level of capital per capita…