Exam 12:Uncertainty-Part B

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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 1,000,u(x)= 2x,and for x greater than or equal to 1,000,u(x)=0 2,000 + x.

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D

(See Problem 2. )Willy's only source of wealth is his chocolate factory.He has the utility function pc1/2f+(1 -p)c1/2nf,where p is the probability of a flood,1 - p is the probability of no flood,and cf and cnf are his wealth contingent on a flood and on no flood,respectively.The probability of a flood is p= 1/14.The value of Willy's factory is $500,000 if there is no flood and 0 if there is a flood.Willy can buy insurance where if he buys $x worth of insurance,he must pay the insurance company $4x/17 whether there is a flood or not,but he gets back $x from the company if there is a flood.Willy should buy

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B

(See Problem 11. )Albert'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.Albert 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.Albert will choose the sure payment if

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D

In Problem 9,Billy has a von Neumann-Morgenstern utility function U(c)=c1/2.If Billy is not injured this season,he will receive an income of 4 million dollars.If he is injured,his income will be only 10,000 dollars.The probability that he will be injured is .1 and the probability that he will not be injured is .9.His expected utility is

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(See Problem 11. )Wilfred'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.Wilfred is offered a choice between getting a sure payment of $Z or a lottery in which he receives $2,500 with probability .40 or $6,400 with probability .60.Wilfred will choose the sure payment if

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In Problem 9,Billy has a von Neumann-Morgenstern utility function U(c)= c1/2.If Billy is not injured this season,he will receive an income of 25 million dollars.If he is injured,his income will be only 10,000 dollars.The probability that he will be injured is .1 and the probability that he will not be injured is .9.His expected utility is

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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 $1 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 $9 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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(See Problem 2. )Willy's only source of wealth is his chocolate factory.He has the utility function pc1/2f + (1 -p)c1/2nf,where p is the probability of a flood,1 - p is the probability of no flood,and cf and cnf are his wealth contingent on a flood and on no flood,respectively.The probability of a flood is p =1/11.The value of Willy's factory is $800,000 if there is no flood and 0 if there is a flood.Willy can buy insurance where if he buys $x worth of insurance,he must pay the insurance company $4/4x whether there is a flood or not,but he gets back $x from the company if there is a flood.Willy should buy

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(See Problem 2. )Willy's only source of wealth is his chocolate factory.He has the utility function pc1/2f+ (1 - p)c1/2nf,where p is the probability of a flood,1 - p is the probability of no flood,and cf and cnf are his wealth contingent on a flood and on no flood,respectively.The probability of a flood is p = 1/13.The value of Willy's factory is $500,000 if there is no flood and 0 if there is a flood.Willy can buy insurance where if he buys $x worth of insurance,he must pay the insurance company $3x/15 whether there is a flood or not,but he gets back $x from the company if there is a flood.Willy should buy

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In Problem 9,Billy has a von Neumann-Morgenstern utility function U(c)= c1/2.If Billy is not injured this season,he will receive an income of 16 million dollars.If he is injured,his income will be only 10,000 dollars.The probability that he will be injured is .1 and the probability that he will not be injured is .9.His expected utility is

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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 8,000,u(x)= 2x,and for x greater than or equal to 8,000,u(x)=16,000 + x.

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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 6,000,u(x)= 2x,and for x greater than or equal to 6,000,u(x)= 12,000 + x.

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In Problem 9,Billy has a von Neumann-Morgenstern utility function U(c)= c1/2.If Billy is not injured this season,he will receive an income of 4 million dollars.If he is injured,his income will be only 10,000 dollars.The probability that he will be injured is .1 and the probability that he will not be injured is .9.His expected utility is

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(See Problem 11. )Jonas'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.Jonas is offered a choice between getting a sure payment of $Z or a lottery in which he receives $3,600 with probability .10 or $6,400 with probability .90.Jonas will choose the sure payment if

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(See Problem 2. )Willy's only source of wealth is his chocolate factory.He has the utility function pc1/2f + (1 - p)c1/2nf,where p is the probability of a flood,1 - p is the probability of no flood,and cf and cnf are his wealth contingent on a flood and on no flood,respectively.The probability of a flood is p= 1/14.The value of Willy's factory is $400,000 if there is no flood and 0 if there is a flood.Willy can buy insurance where if he buys $x worth of insurance,he must pay the insurance company $5x/18 whether there is a flood or not,but he gets back $x from the company if there is a flood.Willy should buy

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(See Problem 2. )Willy's only source of wealth is his chocolate factory.He has the utility function pc1/2f + (1 -p)c1/2nf,where p is the probability of a flood,1 - p is the probability of no flood,and cf and cnf are his wealth contingent on a flood and on no flood,respectively.The probability of a flood is p= 1/20.The value of Willy's factory is $300,000 if there is no flood and 0 if there is a flood.Willy can buy insurance where if he buys $x worth of insurance,he must pay the insurance company $4x/23 whether there is a flood or not,but he gets back $x from the company if there is a flood.Willy should buy

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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 6,000,u(x)= 2x,and for x greater than or equal to 6,000,u(x)=12,000+ x.

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In Problem 9,Billy has a von Neumann-Morgenstern utility function U(c)= c1/2.If Billy is not injured this season,he will receive an income of 4 million dollars.If he is injured,his income will be only 10,000 dollars.The probability that he will be injured is .1 and the probability that he will not be injured is .9.His expected utility is

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Clancy has $4,200.He plans to bet on a boxing match between Sullivan and Flanagan.He finds that he can buy coupons for $7 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 $3 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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Clancy has $4,800.He plans to bet on a boxing match between Sullivan and Flanagan.He finds that he can buy coupons for $4 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 $6 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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