Exam 12:Uncertainty-Part B

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(See Problem 11. )Pete's expected utility function is pc1/21 + (1-p)c1/22,where p is the probability that he consumes c1 and 1 - p is the probability that he consumes c2.Pete is offered a choice between getting a sure payment of $Z or a lottery in which he receives $1,600 with probability .80 or $14,400 with probability .20.Pete will choose the sure payment if

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Clancy has $1,800.He plans to bet on a boxing match between Sullivan and Flanagan.He finds that he can buy coupons for $9 each that will pay off $10 each if Sullivan wins.He also finds in another store some coupons that will pay off $10 if Flanagan wins.The Flanagan tickets cost $1 each.Clancy believes that the two fighters each have a probability of 1/2 of winning.Clancy is a risk averter who tries to maximize the expected value of the natural log of his wealth.Which of the following strategies would maximize his expected utility?

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Sally Kink is an expected utility maximizer with utility function pu(c1)+ (1 -p)u(c2),where for any x <\lt 7,000,u(x)= 2x,and for x greater than or equal to 7,000,u(x)=14,000 + x.

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(See Problem 11. )Lawrence's expected utility function is pc1/21 + (1 -p)c1/22,where p is the probability that he consumes c1 and 1 - p is the probability that he consumes c2.Lawrence is offered a choice between getting a sure payment of $Z or a lottery in which he receives $400 with probability .30 or $2,500 with probability .70.Lawrence will choose the sure payment if

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