2) Consider a two-period OLG model with logarithmic preferences, i.e. the dynamics of the capital intensity is governed by kt+1 В (1+B)(1+n) -Wt where wt represents the wage rate, 0 < ß < 1 the discount factor of second period utility, and n > 0 the population's growth rate. Furthermore the production function is specified as Y₁ = A[aKī° + (1 − a)Līº]¯. Assume that a = 0.5, p = 1, A = 25, n = (5) 1.097, and ß = 0.3. (6)
2) Consider a two-period OLG model with logarithmic preferences, i.e. the dynamics of the capital intensity is governed by kt+1 В (1+B)(1+n) -Wt where wt represents the wage rate, 0 < ß < 1 the discount factor of second period utility, and n > 0 the population's growth rate. Furthermore the production function is specified as Y₁ = A[aKī° + (1 − a)Līº]¯. Assume that a = 0.5, p = 1, A = 25, n = (5) 1.097, and ß = 0.3. (6)
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Given (5), derive the kt+1-equation and determine the steady state solution(s) for the capital intensity
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