3. Suppose Chelsea has the following utility function over sure wealth: v (y) = In y (a) Consider the lottery that yields the outcome $2 with probability and the outcome $8 with probability . What is Chelsea's certainty equivalent for this lottery? (b) For the lottery in (b), how much would Chelsea pay to have her risk taken away? (c) What is Chelsea's probability premium at $25 for a lottery that could swing her wealth $20 up or down? What about $15 up or down?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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3. Suppose Chelsea has the following utility function over sure wealth:
v (y) = In y
(a) Consider the lottery that yields the outcome $2 with probability and the outcome $8
with probability . What is Chelsea's certainty equivalent for this lottery?
2
3*
(b) For the lottery in (b), how much would Chelsea pay to have her risk taken away?
(c) What is Chelsea's probability premium at $25 for a lottery that could swing her wealth
$20 up or down? What about $15 up or down?
Transcribed Image Text:3. Suppose Chelsea has the following utility function over sure wealth: v (y) = In y (a) Consider the lottery that yields the outcome $2 with probability and the outcome $8 with probability . What is Chelsea's certainty equivalent for this lottery? 2 3* (b) For the lottery in (b), how much would Chelsea pay to have her risk taken away? (c) What is Chelsea's probability premium at $25 for a lottery that could swing her wealth $20 up or down? What about $15 up or down?
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