Consider a two-period endowment economy with a single representative agent. That agent's utility function is: U=In(ct) + (1/2)In(Ct+1) In this endowment economy, output is 100 in period t and 150 in period t+1. What is the equilibrium interest rate (r) in this economy? Write your answer as a percentage, but omit the percent sign. So if you think r=0.1, that's 10%, but write 10. Similarly, if you think r= 1.5. that's 150%. but write 150.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter13: General Equilibrium And Welfare
Section: Chapter Questions
Problem 13.5P
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Consider a two-period endowment economy with a single representative agent. That agent's utility function is:
U = In(ct) + (1/2)In(Ct+1)
In this endowment economy, output is 100 in period t and 150 in period t+1. What is the equilibrium interest rate (r) in this economy?
Write your answer as a percentage, but omit the percent sign.
So if you think r=0.1, that's 10%, but write 10.
Similarly, if you think r = 1.5, that's 150%, but write 150.
Transcribed Image Text:Consider a two-period endowment economy with a single representative agent. That agent's utility function is: U = In(ct) + (1/2)In(Ct+1) In this endowment economy, output is 100 in period t and 150 in period t+1. What is the equilibrium interest rate (r) in this economy? Write your answer as a percentage, but omit the percent sign. So if you think r=0.1, that's 10%, but write 10. Similarly, if you think r = 1.5, that's 150%, but write 150.
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