16. Consider the RBC model with the following functional forms: 1-a Y₁ = At Kah u(ct) +v(1 − ht) = &- 1-o 1 +0ln(1 - ht) and recall that the budget constraint of the household can be written such that: Ct + Kt+1 = Yt + (1 − 8)Kt (a) Set up and solve the representative firm's profit maximization problem. (b) Describe what is the problem of the households. (c) Explain what is the meaning of the parameter o and how does the household react when σ < 0,σ = 0 and σ > 0. 1-0

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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16. Consider the RBC model with the following functional forms:
Y₁ = A+Kh
·σ
c
- 1
1 о
u(ct) + v(1 − ht) = &-
1-a
+ 0 ln(1 — ht)
and recall that the budget constraint of the household can be written such that:
Ct + Kt+1 = Yt + (1 − 8)Kt
(a) Set up and solve the representative firm's profit maximization problem.
(b) Describe what is the problem of the households.
(c) Explain what is the meaning of the parameter o and how does the household react when σ < 0, 0 = 0 and
σ > 0.
Transcribed Image Text:16. Consider the RBC model with the following functional forms: Y₁ = A+Kh ·σ c - 1 1 о u(ct) + v(1 − ht) = &- 1-a + 0 ln(1 — ht) and recall that the budget constraint of the household can be written such that: Ct + Kt+1 = Yt + (1 − 8)Kt (a) Set up and solve the representative firm's profit maximization problem. (b) Describe what is the problem of the households. (c) Explain what is the meaning of the parameter o and how does the household react when σ < 0, 0 = 0 and σ > 0.
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