For the adverse selection model by George Akerlof, for a given car, if the seller values the car at v, the buyer is willing to pay 1.6v. It is assumed that the value of a car for a seller lies uniformly between 0 to 2000 dollars. Demonstrate that a price of 1000 is not feasible.
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For the adverse selection model by George Akerlof, for a given car, if the seller values the car at v, the buyer is willing to pay 1.6v. It is assumed that the value of a car for a seller lies uniformly between 0 to 2000 dollars. Demonstrate that a price of 1000 is not feasible.
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- Suppose that there is asymmetric information in the market for used cars. Sellers know the quality of the car that they are selling, but buyers do not. Buyers know that there is a 30% chance of getting a "lemon", a low quality used car. A high quality used car is worth $30,000, and a low quality used car is worth $15,000. Based on this probability, the most that a buyer would be willing to pay for a used car is $ 25500. (Enter your response rounded to the nearest dollar.) Which of the following would best "solve" the asymmetric information problem in this market? O A. Prohibiting the sale of low-quality cars. O B. High-quality sellers could offer warranties or product guarantees. OC. Low-quality sellers could establish industry standards. O D. It is not possible to solve the asymmetric information problem in this market.Suppose that there is asymmetric information in the market for used cars. Sellers know the quality of the car that they are selling, but buyers do not. Buyers know that there is a 30% chance of getting a "lemon", a low quality used car. A high quality used car is worth $30,000, and a low quality used car is worth $15,000. Based on this probability, the most that a buyer would be willing to pay for a used car is $___Consider a market for used cars in which buyers would pay up to $18,000 for an orange (good used car) and $8,000 for a lemon. The owners of oranges will accept no less than $12,500 while owners of lemons will accept no less than $3,000. Assume that buyers always end up paying their full willingness to pay and that the fraction of oranges in the population is known to be f. If sellers can observe the type of car but buyers can’t, what is the minimum value of f such that the market for oranges does not collapse?
- Suppose that there is asymmetric information in the market for used cars. Sellers know the quality of the car that they are selling, but buyers do not. Buyers know that there is a 30% chance of getting a "lemon", a low quality used car. A high quality used car is worth $30,000, and a low quality used car is worth $15.000. Based on this probability, the most that a buyer would be willing to pay for a used car is S. (Enter your response rounded to the nearest dollar.)If the utility function is U (W) = ((W0.75) / (0.75)), what is the absolute risk aversion coefficient?MAC = 94 - 0.04E MD = 0.01E The government sets an emission standard at E = 2000. The probability of getting caught polluting, however, is only 44%. If the polluter pollutes more than 2000 units they will have to pay a fine. The fine would have to be greater than or equal to $ to ensure polluters will comply with the emission standard.
- Leora has a monthly income of $20,736. Unfortunately, there is a chance that she will have an accident that will result in costs of $10,736. Thus leaving her an income of only $10,000. The probability of an accident is 0.5. Finally assume that her preferences over income can be represented by the utility function u(x) = 2ln(x).a) What is the expected income? What is Leora’s expected utility (you may leave in log form)? b) What is the certainty equivalent to her situation? What is the risk premium associated with her situation?c) What is the maximum that Leora would be willing to pay for a full insurance policy?d) Illustrate her expected utility, expected wealth, certainty equivalent, the risk premium and her willingness to pay for a full insurance policy in a diagram.An individual has the utility function U(I) = I^(1/2), where I is their net income. (Note that I to the exponent/power of 1/2 is the same as the square root of I.) The individual starts with $1600 in income. The individual has a 20% probability of being very sick, 30% probability of being slightly sick, and 50% probability of being healthy. If the individual is sick, they lose net income because they need to pay healthcare costs. The healthcare costs are $1600 if they are very sick, $700 if they are slightly sick, and $0 if they are healthy. Please use this information for the following parts of this question unless otherwise specified. What is the individual's expected utility? Suppose a health insurance company offers the individual a full insurance contract. What is the actuarially fair, full insurance premium for this individual? What is the individual's expected utility if they purchase a full insurance contract at the actuarially fair, full insurance premium?The next two questions are based on the following information: Sallie produces specialty T-shirts that are sold at special events. For an upcoming event, she can sell each T-shirt at $20 per shirt. However, when the event ends, any unsold T-shirts will be sold at a clearance price of $4 per shirt. It costs Sally $8 to make a T-shirt. Sally's estimate of the demand is the following. Demand Probability 300 0.05 400 0.1 500 0.4 600 0.3 700 0.1 800 0.05 Fill in the blank: The critical ratio is $
- You hold an oral, or English, auction among three bidders. You estimate that each bidder has a value of either $100 or $125 for the item, and you attach probabilities to each value of 50%. The winning bidder must pay a price equal to the second highest bid. The following table lists the eight possible combinations for bidder values. Each combination is equally likely to occur. On the following table, indicate the price paid by the winning bidder. Bidder 1 Value Bidder 2 Value Bidder 3 Value Probability Price ($) ($) ($) $100 $100 $100 0.125 $100$100$1250.125 $100$125$1000.125 $100$125$1250.125 $125$100$1000.125 $125$100$1250.125 $125$125$1000.125 $125$125$1250.125 The expected price paid is . Suppose that bidders 1 and 2 collude and would be willing to bid up to a maximum of their values, but the two bidders would not be willing to bid against each other. The probabilities of the combinations of bidders are still…ЕОC 12.02 Suppose you are the mayor of a town and you want to increase safety at an intersection. A traffic light will increase safety and reduce fatality risk by 0.5% but costs $100,000. Suppose the value of human life is estimated at $10 million. Should you spend the money to install the traffic light? (Hint: to multiply 1% by 200 you follow this process: 0.01 x 200 = 2). Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a Yes, since the expected benefit ($500,000) exceeds the cost. b Yes, since the expected benefit ($150,000) exceeds the cost. No, since the expected benefit ($50,000) is lower than the cost. d No, since the expected benefit ($15,000) is lower than the cost.You hold an oral, or English, auction among three bidders. You estimate that each bidder has a value of either $40 or $50 for the item, and you attach probabilities to each value of 50%. The winning bidder must pay a price equal to the second highest bid. The following table lists the eight possible combinations for bidder values. Each combination is equally likely to occur. On the following table, indicate the price paid by the winning bidder. Combination Number Bidder 1 Value Bidder 2 Value Bidder 3 Value Probability Price ($) ($) ($) 1 $40 $40 $40 0.125 2 $40 $40 $50 0.125 3 $40 $50 $40 0.125 4 $40 $50 $50 0.125 5 $50 $40 $40 0.125 6 $50 $40 $50 0.125 7 $50 $50 $40 0.125 8 $50 $50 $50 0.125 The expected price paid is . Suppose that bidders 1 and 2 collude and would be willing to bid up to a maximum of their values, but the two bidders would not be willing to bid against each…
