, where c₁ is her consumption in period 1 and c2 is her consumption in period 2. Her income in period 1 is 3 times as large as her income in period 2. At what interest rate will she choose to consume the same amount in period 1 as in period 2?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter17: Capital And Time
Section: Chapter Questions
Problem 17.7P
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Patience has a utility function
where c₁ is her consumption in period 1 and c2 is her consumption in period 2. Her
income in period 1 is 3 times as large as her income in period 2. At what interest rate
will she choose to consume the same amount in period 1 as in period 2?
20%
13%
25%
1/2
1/2
U(c1, c2) = ¹/² +0.80c¹/²
0%
80%
Transcribed Image Text:Patience has a utility function where c₁ is her consumption in period 1 and c2 is her consumption in period 2. Her income in period 1 is 3 times as large as her income in period 2. At what interest rate will she choose to consume the same amount in period 1 as in period 2? 20% 13% 25% 1/2 1/2 U(c1, c2) = ¹/² +0.80c¹/² 0% 80%
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