Exam 15: Risk and Information

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Asymmetric information refers to

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The variance of a lottery is

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The variance of a probability distribution can be described as

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In economics, a lottery is

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Use the decision tree along with the given probabilities to answer the following questions: Probability Event A = 30% \quad Probability Event B = 70% Probability Event 1 = 58% \quad 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%  Use the decision tree along with the given probabilities to answer the following questions: Probability Event A = 30% \quad Probability Event B = 70% Probability Event 1 = 58% \quad  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%    -What is the expected value at node B? -What is the expected value at node B?

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Use the decision tree along with the given probabilities to answer the following questions: Probability Event A = 30% \quad Probability Event B = 70% Probability Event 1 = 58% \quad 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%  Use the decision tree along with the given probabilities to answer the following questions: Probability Event A = 30% \quad Probability Event B = 70% Probability Event 1 = 58% \quad  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 decision maker chooses Decision A and Event 2 occurs, which decision alternative should the decision maker choose at node E? -If the decision maker chooses Decision A and Event 2 occurs, which decision alternative should the decision maker choose at node E?

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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. What is the most you would be willing to pay for this policy (rather than no insurance)?

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Consider a lottery with four equally likely outcomes, A, B, C, and D. The associated payoffs are: $10, $30, $70, and $150, respectively. The expected value of this 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 decision maker can be described with utility which is only a function of income and which exhibits diminishing marginal utility of income. This decision maker is

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With common values in an auction

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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=I+500U = I + 500 , what is the risk premium associated with this choice?

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An insurance company that sells fairly-priced insurance policies to a large number of individuals with similar realized accident risk probabilities should expect to

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Moral hazard in auto insurance might refer to

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Consider a lottery with four possible outcomes, A, B, C, and D. The associated payoffs are: A - $10, B - $30, C - $70, and D - $150. The probabilities are P(A)=0.40P ( A ) = 0.40 , P(B)=0.20P ( B ) = 0.20 , P(C)=0.30P ( C ) = 0.30 , and P(D)=0.10P ( D ) = 0.10 . The variance of this lottery is

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Which of the following statements is correct for a decision maker facing a choice between a sure thing and a lottery when the sure thing has the expected payoff of the lottery?

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A decision maker has a utility function U=IU = \sqrt { I } . This decision maker is

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A person who gets increasing marginal utility as income increases is described as

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Use the decision tree along with the given probabilities to answer the following questions: Probability Event A = 30% \quad Probability Event B = 70% Probability Event 1 = 58% \quad 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%  Use the decision tree along with the given probabilities to answer the following questions: Probability Event A = 30% \quad Probability Event B = 70% Probability Event 1 = 58% \quad  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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Use the decision tree along with the given probabilities to answer the following questions: Probability Event A = 30% \quad Probability Event B = 70% Probability Event 1 = 58% \quad 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%  Use the decision tree along with the given probabilities to answer the following questions: Probability Event A = 30% \quad Probability Event B = 70% Probability Event 1 = 58% \quad  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%    -At node A, which decision has the higher expected value? -At node A, which decision has the higher expected value?

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