Consider a risk averse expected utility maximize. He considers two job contracts. The first one pays either $1000 cm S3000 with equal probability. The second has probability 1/9 that it will pay nothing, probability 7/9 that it will earn $2000 and probability 1/9 that it will earn $4000. (a) What is the expected pay for each job contract? (b) What is the variance of each job contract? (c) Can you compare the two job contracts in terms of First or Second order Stochastic Dominance?

Managerial Economics: A Problem Solving Approach
5th Edition
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter20: The Problem Of Adverse Selection Moral Hazard
Section: Chapter Questions
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Consider a risk averse expected utility maximize. He considers two job contracts. The first one pays either $1000 or
$3000 with equal probability. The second has probability 1/9 that it will pay nothing, probability 7/9 that it will
earn $2000 and probability 1/9 that it will earn $4000.
(a)
What is the expected pay for each job contract?
(b)
What is the variance of each job contract?
(c)
Can you compare the two job contracts in terms of First or Second order Stochastic Dominance?
(d)
Can you tell which job contract the consumer will choose? Justify your answer!
Suppose that the agent's Bernoulli utility function is u(w) = w05, Which job contract will he
choose?
(e)
Transcribed Image Text:Consider a risk averse expected utility maximize. He considers two job contracts. The first one pays either $1000 or $3000 with equal probability. The second has probability 1/9 that it will pay nothing, probability 7/9 that it will earn $2000 and probability 1/9 that it will earn $4000. (a) What is the expected pay for each job contract? (b) What is the variance of each job contract? (c) Can you compare the two job contracts in terms of First or Second order Stochastic Dominance? (d) Can you tell which job contract the consumer will choose? Justify your answer! Suppose that the agent's Bernoulli utility function is u(w) = w05, Which job contract will he choose? (e)
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