Exam 17: Choice Making Under Uncertainty

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Risk- pooling:

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If one's indifference curves in a state space graph are convex to the origin, the individual is:

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Consider these four choices: A. $1,000,000 for sure B. 10 chance of $5,000,000 and .89 chance of $1,000,000 and .01 chance of $0 C. 10 chance of $5,000,000 and .90 chance of $0 D. 11 chance of $1,000,000 and .89 chance of $0 It is commonly observed that people prefer A to B, and prefer C to D. Show that this pair of choices is inconsistent with expected utility maximization.

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If a person is risk averse:

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Consumers buy insurance because:

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The market for insurance:

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A card game:

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Which of the following assumptions concerning individual behaviour in risky situations guarantees that individuals will be willing to make trade offs between risky and riskless prospects?

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Risk pooling is most likely to be found among people who:

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Expected values are found by:

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A compound prospect:

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A person that is a risk lover will have indifference curves in a state space graph that are

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Maria is planning a trip to Hawaii. The utility from the trip is a function of how much she spends on it (Y)given by U(Y)= log Y. Maria has $10,000 to spend on the trip. If she spends all of it, her utility will be: U(10000)= log(10000)= 4. Suppose there is a 25 percent probability that Maria will lose $1000 of the cash on the trip. What is the maximum amount that Maria would be willing to pay to insure $1000?

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A certainty equivalent income:

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The continuity assumption holds that consumers facing risky decisions:

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Suppose a person must accept one of three bets: A. 0.5 chance of winning $100 and 0.5 chance of losing $100. B. 0.75 chance of winning $100 and 0.25 chance of losing $300. C. 0.9 chance of winning $100 and 0.1 chance of losing $900. Show that all of these are fair bets.

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Which of the following individuals is likely to purchase insurance?

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The maximum that a risk- averse individual is willing to pay for full- insurance coverage is:

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A compound prospect can be defined as one which:

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Al, a risk- averse expected- utility maximizer with utility over wealth given by U(W), has W0 dollars that he can save or invest in a risky asset. With probability p the rate of return on the asset is rg>0, and with probability 1 - p the rate of return on the asset is rb <0 . (Note that if you invest x dollars in an asset with rate or return r, you end up with (1 + r)x dollars.) i)What is Al's expected utility he invests x in the risky asset? ii)Now suppose that Al's utility for wealth takes the form U(W)=- e- aW. Show that the optimal choice of x does not depend on W0.

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