Assume Peter's preferences over time (periods are yearly) are given by U(C₁, C2, C3, C4, ....) = ln(c₁) + ßln(c₂) + ß²ln(c3)+ Assume that Peter can borrow or lend at the same rate r=10% and ß= 1 1.15 Then, we know the following about how Peters consumption changes over time: Peters consumption declines the older he gets. Peters consumption increases the older he gets Peters consumption is constant over his life-time We can't tell anything about his consumption level because we have not been given any information about his income over his life-time.

Economics: Private and Public Choice (MindTap Course List)
16th Edition
ISBN:9781305506725
Author:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Publisher:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Chapter27: Investment, The Capital Market, And The Wealth Of Nations
Section: Chapter Questions
Problem 14CQ
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Assume Peter's preferences over time (periods are yearly) are given by
U(C₁, C2, C3, C4, ....) = ln(c₁) + ßln(c₂) + ß²ln(c3)+
Assume that Peter can borrow or lend at the same rate r=10% and
ß=
1
1.15
Then, we know the following about how Peters consumption changes over time:
Peters consumption declines the older he gets.
Peters consumption increases the older he gets
Peters consumption is constant over his life-time
We can't tell anything about his consumption level because we have not been
given any information about his income over his life-time.
Transcribed Image Text:Assume Peter's preferences over time (periods are yearly) are given by U(C₁, C2, C3, C4, ....) = ln(c₁) + ßln(c₂) + ß²ln(c3)+ Assume that Peter can borrow or lend at the same rate r=10% and ß= 1 1.15 Then, we know the following about how Peters consumption changes over time: Peters consumption declines the older he gets. Peters consumption increases the older he gets Peters consumption is constant over his life-time We can't tell anything about his consumption level because we have not been given any information about his income over his life-time.
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