Suppose that there is a risky bet that promises a 50-50 chance of winning or losing $1000 for someone with a starting income of $59000. 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 (1)= √I 1 b. U (n)=- =-1 C. U (I) = In(1) Round all answers to 3 decimal places.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter7: Uncertainty
Section: Chapter Questions
Problem 7.3P
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Suppose that there is a risky bet that promises a 50-50 chance of winning or losing $1000 for someone with a starting income of
$59000. 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 (D)= √I
1
b. U (D)=-I
c. U (I) = In(1)
Round all answers to 3 decimal places.
Transcribed Image Text:Suppose that there is a risky bet that promises a 50-50 chance of winning or losing $1000 for someone with a starting income of $59000. 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 (D)= √I 1 b. U (D)=-I c. U (I) = In(1) Round all answers to 3 decimal places.
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