A widely used utility function in the economics literature is the constant rate of risk aversion utility function. It is given by: u(c) = c*(1-n) (1-n) Assume that an agent lives for three periods (t-0,1,2) and discounts future utility at rate B (per period). The agent is born with asset level ag and his/her labour market income is yo and y, for periods O and 1 respectively, the agent retire in the last period (no labour income). The interest rate in this economy is r. Please answer the following questions based on the information displayed here. Choose the best option available.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter19: Externalities And Public Goods
Section: Chapter Questions
Problem 19.11P
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A widely used utility function in the economics literature is the constant rate of risk aversion utility function. It is given by:
u(c) = c*(1-n)
(1-n)
Assume that an agent lives for three periods (t-0,1,2) and discounts future utility at rate B (per period). The agent is born with asset level a, and his/her
labour market income is yo and y, for periods O and 1 respectively, the agent retire in the last period (no labour income). The interest rate in this economy is
r.
Please answer the following questions based on the information displayed here. Choose the best option available.
Select one:
O a. The budget constrain in period t=2 is given by:C2+ ay az(1+r)
O b. The budget constrain in period t=2 is given by: Cam a2(1+r)
O C. The budget constrain in period t=2 is given by: u(c2)+ a a;(1+r) +ys
O d. The budget constrain in period t=2 is given by: C2= az(1+r) +ya
O e. The budget constrain in period t#2 is given by: C2+a a(1+r) +ya
Transcribed Image Text:A widely used utility function in the economics literature is the constant rate of risk aversion utility function. It is given by: u(c) = c*(1-n) (1-n) Assume that an agent lives for three periods (t-0,1,2) and discounts future utility at rate B (per period). The agent is born with asset level a, and his/her labour market income is yo and y, for periods O and 1 respectively, the agent retire in the last period (no labour income). The interest rate in this economy is r. Please answer the following questions based on the information displayed here. Choose the best option available. Select one: O a. The budget constrain in period t=2 is given by:C2+ ay az(1+r) O b. The budget constrain in period t=2 is given by: Cam a2(1+r) O C. The budget constrain in period t=2 is given by: u(c2)+ a a;(1+r) +ys O d. The budget constrain in period t=2 is given by: C2= az(1+r) +ya O e. The budget constrain in period t#2 is given by: C2+a a(1+r) +ya
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