der a two-period living consumer with a utility function, u(c)=sqrt(c). Suppose the real interest rate, R=10% and the utility discount factor, beta=0.95. If the consumer wants to maximize lifetime utility, what will be the growth rate of her consumption from the current to the future period?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter17: Capital And Time
Section: Chapter Questions
Problem 17.2P
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Consider a two-period living consumer with a utility function, u(c)=sqrt(c). Suppose the real interest rate, R=10% and the utility discount factor, beta=0.95. If the consumer wants to maximize lifetime utility, what will be the growth rate of her consumption from the current to the future period? 

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