题目
单项选择题
Suppose a decision maker has a utility function and is faced with a lottery where there is a 30% chance of earning $30 and a 70% chance of earning $80. What is the expected utility of this lottery?
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思路分析
To evaluate the expected utility, we need to apply the given utility function to each possible outcome and then weight by the respective probabilities.
First, identify the utility function: U(I) = sqrt(I). This means the utility of an income I......Login to view full explanation登录即可查看完整答案
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Which bets would a rational person definitely want to take, assuming they maximize expected utility: I. Win $1.5 if a coin comes up heads and lose $1 if a coin comes up tails II. Win $1.5 million if a coin comes up heads and lose $1 million if a coin comes up tails III. Win $1.5 if the S&P 500 rises by more than 10% next year; lose $1 if the S&P falls by more than 10% next year
[continues question 5] Then, given Jordan utility function,
Consider the risky investment we considered in class: Emma is considering buying a stock that has a 50% chance of being worth 10 and a 50% chance of being worth 70 at the future date on which she would want to sell the stock. Suppose Emma does some more analysis and changes her mind about the subjective probability distribution. The stock actually has a 50% chance of being worth 0 and a 50% chance of being worth 80. Given this change, which of the following statements is true?
Consider the risky investment we considered in class: Emma is considering buying a stock that has a 50% chance of being worth 10 and a 50% chance of being worth 70 at the future date on which she would want to sell the stock. Suppose Emma does some more analysis and changes her mind about the subjective probability distribution. The stock actually has a 50% chance of being worth 0 and a 50% chance of being worth 80. Given this change, which of the following statements is true?
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