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)

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​​​​​​​Given (5), derive the kt+1-equation and determine the steady state solution(s) for the capital intensity

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
(5)
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[aK₁² + (1 − a) L₂º]¯.
Assume that a = 0.5, p = 1, A = 25, n = 1.097, and ß = 0.3.
(6)
Transcribed Image Text: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 (5) 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[aK₁² + (1 − a) L₂º]¯. Assume that a = 0.5, p = 1, A = 25, n = 1.097, and ß = 0.3. (6)
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