Exam 15: Risk and Information

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Large firms that can take on a number of small investment projects whose returns are independent of each other would most likely be characterized as:

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A decision-maker is faced with a choice between a lottery with a 30% chance of a payoff of $30 and a 70% chance of a payoff of $80, and a guaranteed payoff of $65. If the decision maker's utility function is U=IU = \sqrt { I } what is the risk premium associated with this choice?

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Asymmetric information refers to:

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Use the following decision tree to answer the next question. Use the following decision tree to answer the next question.    -In the decision tree above, for what probability of Event 1 will Decision 1 and Decision 2 have the same expected value? -In the decision tree above, for what probability of Event 1 will Decision 1 and Decision 2 have the same expected value?

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Consider a fairly-priced insurance policy that fully indemnifies the purchaser against their loss. This insurance policy would most likely be purchased by:

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Which of the following statements is incorrect?

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Suppose a fair, two-sided coin is flipped. If it comes up heads you receive $5; if it comes up tails you lose $1. The variance of this lottery is what?

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Use the following probability distribution for a lottery to answer this question. Use the following probability distribution for a lottery to answer this question.   -Given the probability distribution for the lottery above, what is the expected value of this lottery? -Given the probability distribution for the lottery above, what is the expected value of this lottery?

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Heading: Analyzing Risky Decisions **Reference: Use the decision tree along with the given probabilities to answer the next six questions Probability Event A = 30% Probability Event B = 70% Probability Event 1 = 58% Probability Event 2 = 42% Probability of Event A given that Event 1 occurs = 16% Probability of Event B given that Event 1 occurs = 84% Probability of Event A given that Event 2 occurs = 50% Probability of Event B given that Event 2 occurs = 50% Heading: Analyzing Risky Decisions **Reference: Use the decision tree along with the given probabilities to answer the next six questions  Probability Event A = 30% Probability Event B = 70% Probability Event 1 = 58% Probability Event 2 = 42% Probability of Event A given that Event 1 occurs = 16% Probability of Event B given that Event 1 occurs = 84% Probability of Event A given that Event 2 occurs = 50% Probability of Event B given that Event 2 occurs = 50%    -*If the cost of obtaining information to determine Event 1 and Event 2 is $5, what is the value of perfect information? -*If the cost of obtaining information to determine Event 1 and Event 2 is $5, what is the value of perfect information?

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 A decision maker has a utility function U=I2+500. This decision maker is: \text { A decision maker has a utility function } U = I ^ { 2 } + 500 \text {. This decision maker is: }

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A decision maker has a utility function U = 10I. This decision maker is:

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Would you expect an insurance company in the "real world" to sell an insurance policy for exactly the "fairly-priced" level as defined in the text?

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  -Suppose you purchase a collectible baseball card from an acquaintance for $50. You think it could be worth $1,000 with a 10% probability and $0 with a 90% probability. What is your expected value for the baseball card? -Suppose you purchase a collectible baseball card from an acquaintance for $50. You think it could be worth $1,000 with a 10% probability and $0 with a 90% probability. What is your expected value for the baseball card?

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Adverse selection in auto insurance might refer to:

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A risk-averse decision maker will choose the alternative with the lowest variance among alternatives with identical expected utilities.

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The variance of a lottery is:

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What would be the expected value, variance and standard deviation of an event that always took the value one as its outcome?

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A fairly-priced insurance policy is one in which:

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An English auction is an auction wherein:

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Your current disposable income is $10,000. There is a 10% chance you will get in a serious car accident, incurring damage of $1,900. (There is a 90% chance that nothing will happen.)Your utility function is U=IU = \sqrt { I } ,where I is income. If this policy is priced at $40, what is the change in your expected utility if you purchase the policy rather than no insurance?

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