Finite Horizon: Consider the following Planner's Problem: max (c₁k₁+1) s.t. : B'log (c) t=0 G+k₁+1= Aka, t= 0, 1, 2... C, kt+1 20, t= 0, 1, 2... ko> 0, given. (a) Suppose that A= 100, a 0.4, 3=0.9, ko 1 y T = 1. Compute the optimal capital level at t= 1. (b) Discuss how the steady state level of capital changes with 3 and A.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter17: Capital And Time
Section: Chapter Questions
Problem 17.2P
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6. Finite Horizon: Consider the following Planner's Problem:
max
t=T
t=0
s.t.
Blog (c₂)
q+k₁+1 = Ak, t= 0, 1, 2...
+A
C₁, k₁+120, t=0, 1,2....
ko > 0, given.
(a) Suppose that A = 100, a
capital level at t = 1.
(b) Discuss how the steady state level of capital changes with 3 and A.
0.4, 3=0.9, ko 1 y T = 1. Compute the optimal
=
1
Transcribed Image Text:6. Finite Horizon: Consider the following Planner's Problem: max t=T t=0 s.t. Blog (c₂) q+k₁+1 = Ak, t= 0, 1, 2... +A C₁, k₁+120, t=0, 1,2.... ko > 0, given. (a) Suppose that A = 100, a capital level at t = 1. (b) Discuss how the steady state level of capital changes with 3 and A. 0.4, 3=0.9, ko 1 y T = 1. Compute the optimal = 1
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