This question is about private consumption. Consider a household that lives for two periods. In period j, the price level is P; and the real labour income is given by w; for j = {1,2}. The initial real wealth is given by A. The nominal interest rate is i and the inflation rate (CPI) is = ₁-1. The household has a constant relative risk aversion (CRRA) utility function which reads C₁-0-1 1-0 U (C₁, C₂) = u(C₁) + Bu(C₂) = where > 0, ß € (0,1) is the subjective discount factor of the household and C; is consumption in period j for j = {1,2}.¹ Now consider the consumption choice of the household. +B. 1 1-0 (1.1) Firstly, demonstrate how we can obtain the lifetime budget constraint of the household consist- ing of nominal interest rate, price levels, real labour income, initial real wealth, and consump- tion. Secondly, transform the budget constraint you have just obtained into another budget con- straint consisting of the real interest rate, real labour income, initial real wealth, and consumption. Lastly, interpret.
This question is about private consumption. Consider a household that lives for two periods. In period j, the price level is P; and the real labour income is given by w; for j = {1,2}. The initial real wealth is given by A. The nominal interest rate is i and the inflation rate (CPI) is = ₁-1. The household has a constant relative risk aversion (CRRA) utility function which reads C₁-0-1 1-0 U (C₁, C₂) = u(C₁) + Bu(C₂) = where > 0, ß € (0,1) is the subjective discount factor of the household and C; is consumption in period j for j = {1,2}.¹ Now consider the consumption choice of the household. +B. 1 1-0 (1.1) Firstly, demonstrate how we can obtain the lifetime budget constraint of the household consist- ing of nominal interest rate, price levels, real labour income, initial real wealth, and consump- tion. Secondly, transform the budget constraint you have just obtained into another budget con- straint consisting of the real interest rate, real labour income, initial real wealth, and consumption. Lastly, interpret.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:This question is about private consumption. Consider a household that lives for two periods. In period
j, the price level is P; and the real labour income is given by w; for j = {1,2}. The initial real wealth is
2 - 1. The household has
given by A. The nominal interest rate is i and the inflation rate (CPI) is 7 =
a constant relative risk aversion (CRRA) utility function which reads
P1
1
1
-
-
u (С1,С2) %3D и(С1) + Bu(C2) —
u(С1) + Вu(С2)
+B
1 – 0
1 – 0
where 0 > 0, BE (0,1) is the subjective discount factor of the household and C; is consumption in
period j for j = {1,2}.' Now consider the consumption choice of the household.
(1.1) Firstly, demonstrate how we can obtain the lifetime budget constraint of the household consist-
ing of nominal interest rate, price levels, real labour income, initial real wealth, and consump-
tion. Secondly, transform the budget constraint you have just obtained into another budget con-
straint consisting of the real interest rate, real labour income, initial real wealth, and consumption.
Lastly, interpret.
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