Suppose that there is a risky bet that promises a 50-50 chance of winning of losing $3500 for someone with a starting income of $66000. The certainty equivalence of this risky bet refers to the certain income that provides the same utility as does this risky bet (in expectation). Calculate the certainty equivalence of this risky bet respectively for the following utility functions: a. U (I)= √I 1 b. U (I)=- I in

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter7: Uncertainty
Section: Chapter Questions
Problem 7.10P
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Economics
Suppose that there is a risky bet that promises a 50-50 chance of winning or losing $3500 for someone with a starting
income of $66000. The certainty equivalence of this risky bet refers to the certain income that provides the same utility
as does this risky bet (in expectation). Calculate the certainty equivalence of this risky bet respectively for the following
utility functions:
a. U (I)= √I
1
b. U (n)= -7
c. U (I)= In(1)
Round all answers to 3 decimal places.
C.E. function "a"
C.E. function "b"
200
LATEX ?
LATEX
Transcribed Image Text:Economics Suppose that there is a risky bet that promises a 50-50 chance of winning or losing $3500 for someone with a starting income of $66000. The certainty equivalence of this risky bet refers to the certain income that provides the same utility as does this risky bet (in expectation). Calculate the certainty equivalence of this risky bet respectively for the following utility functions: a. U (I)= √I 1 b. U (n)= -7 c. U (I)= In(1) Round all answers to 3 decimal places. C.E. function "a" C.E. function "b" 200 LATEX ? LATEX
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