Exam 1: Basic Concepts

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In order for a signal to be informative,

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E

Use the following information for questions Suppose you are a bank lending officer and you are trying to determine if it is worthwhile giving a loan to a potential borrower.You have a prior belief that a borrower is good or bad with equal probability.By gathering information you can determine, albeit imperfectly, whether an applicant is good or bad.If the applicant is good, there is a probability of 0.7 0.3 that your signal reveals that he is good bad.If the applicant is bad, there is a 0.4 0.6 probability that your signal reveals that he is good bad. -What is your posterior belief that an applicant is bad when your signal tells you that he is goof?

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D

Use the following information for questions . There are two possible states of nature, s = 1, and s = 2, over the next period.There are two securities i and j) whose current prices are $10 and $15, respectively.Security i has a payoff of $10 in state s = 1, and $16 in state s = 2, while security j provides $25 in state s = 1 and $8 in state s = 2. -A third security is introduced.It generates a payoff of $16 in state s = 1 and $24 in state s = 2.How many units of this new security can you buy if your initial wealth is $3,100?

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An incentive compatibility condition is one where

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Which of the following statements is are false?

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When a market is incomplete,

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The efficient market hypothesis implies that

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With diversification, an investor can

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Consider a game involving two players 1 and 2.Both players have two choices of actions, Left Lor Right R.If both players choose L, the payoff to both players is 5.If both choose R, they each get a payoff of 2.If player 1 chooses L and player 2 chooses R, the payoff is 2 for player 1 and 0 for player 2.If player 1 chooses R and player 2 chooses L, the payoff is 0 for player 1 and 2 for player 2.What is a Nash Equilibrium of this game?

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In problem 4, if the correlation coefficient is -1 and you want to completely eliminate the risk of the portfolio, then you will invest

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Which of the following statements is are false about options?

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In a market with asymmetric information,

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A time-consistent policy is one where

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When there is moral hazard between a firm's shareholders and bondholders, the cost of moral hazard is borne by ______in equilibrium.

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Consider a firm with risky debt outstanding which requires a repayment one period hence.There are no taxes and the firm has a risky project that can be financed using retained earnings.Assume that the firm's manager acts in the best interest of the shareholders.In this scenario, moral hazard exists if

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Use the following information for questions There are three types of cars, the good G, the bad B, and the ugly U.A G car is worth $40, a B car is worth $20, and a U car is worth $15.The seller knows the precise quality of his car, but the buyer cannot distinguish the difference in the quality of a car offered for sale.There is an equal probability of a car being G, B, or U. -A possible warranty scheme that can ensure incentive compatibility in question 20 is $g, $b, $u

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In a two-players 1 and 2 non-cooperative game, a strategy constitutes a Nash equilibrium when

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Use the following information for questions There are three types of cars, the good G, the bad B, and the ugly U.A G car is worth $30, a B car is worth $15, and a U car is worth $0.A buyer cannot distinguish the quality of cars offered for sale, but the seller does.If there is equal probability of a car being G, B, or U, -Suppose the type G seller offers a warranty of $g and the type B seller offers $b.If the probability of failure is 0.1, 0.5, and 1 for types G, B, and U, respectively, what is the warranty offered by type G and B sellers to ensure incentive compatibility?

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A moral hazard problem can exist between

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Adverse selection is a situation where

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