Exam 4: Uncertainty

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Risk aversion is best explained by

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Suppose a family has saved enough for a 10 day vacation (the only one they will be able to take for 10 years)and has a utility function U = V1/2 (where V is the number of healthy vacation days they experience).Suppose they are not a particularly healthy family and the probability that someone will have a vacation-ruining illness (V = 0)is 20%.What is the expected value of V?

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Expected value is defined as

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Continuing with the same family from the preceding question,what is the greatest (integer)number of vacation days the family would be willing to give up in order to guarantee a healthy vacation?

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Suppose a family has saved enough for a 10 day vacation (the only one they will be able to take for 10 years)and has a utility function U = V1/2 (where V is the number of healthy vacation days they experience).Suppose they are not a particularly healthy family and the probability that someone will have a vacation ruining illness (V = 0)is 30%.What is the expected value of V?

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Continuing with the family from the preceding question,what is their expected utility?

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Suppose a lottery ticket costs $1and has a jackpot of $1 million.What must the probability of winning nothing be if the bet is fair?

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Risk averse individuals will diversify their investments because this will

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Probability is sometimes defined as

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