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- Suppose there are two types of people, high ability and low ability. A high-ability person's productivity is valued at wH = $100,000, while a low-ability person's productivity is valued at wL = $50,000. Assume that the employer does not know the ability of a job applicant, but knows that the probability of an applicant being high ability is 50%. Assume next that only high ability applicants can send a signal, i.e., obtain a degree. The employer pays the expected wage. i. What is the wage oer in a pooling equilibrium (no applicant attains a degree)? ii. What is the wage oer in a separating equilibrium (only high-ability applicants attain a degree)? iii. Suppose now both types can attain a degree, but it is costlier to attain for low-ability people and costs them cL = $60,000, while it costs high-ability people cH = $40,000. Is a separating equilibrium where only high-ability people send education as a signal possible? Explain.If your worker works hard there is a 3/5 possibility that revenues will be $150 and a 2/5 probability that revenues will be $50. If she works at a lower level of effort, there is a 50% chance of each revenue outcome. Working hard costs her $6. Working moderately costs $3. Her outside utility is zero. She is risk-neutral, with utility equal to W - C , where W is the wage and C is the Cost of Effort (3 or 6 depending on whether she works with low or high effort, resp.) If you could contract for effort, would it be profitable to induce high effort? Explain why. What would your profits be? If you cannot contract for effort, find an incentive-compatible pay scheme that will induce high effort. Set up the incentive and participation constraints and find the z (payment when revenue is 150) and y (payment when revenue is 50) where both are exactly satisfied. Would it be profitable to use this scheme? Why? Now suppose that y can never be negative. What incentive compatible scheme will give…The Healthcare Managers Team Challenge Question: Considering the same graph above, and assume that the probability of a hurricane in Springfield is 23% this coming summer: a) calculate the expected wealth and utility of the Simpson's residence; b) explain why Homer Simpson is likely to buy insurance, or why he might not be wanting to buy insurance. Note that if the hurricane takes place the value of the Simpsons' wealth will be $10,000. but if there is no hurricane, their wealth will remain at $20,000.
- Subject 2 A bottle company ALPHA, is considering creating a new bottle of 0.25 lt. To decide whether to invest in this projector not, they performed market research that costed €5,000. The results indicated two possible scenarios that depend on the competitor's reaction to create a similar product and on the percentage of the faithful customers of ALPHA. ScenarioA has a 45% chanceto be realized, while scenarioB has a probability of 55%. For the project's realization the company must purchase specialmachinery that cost €80,000, while transportation and installation costs amount to €2,000. The useful life of the project is two years, and the machinery can be sold at the end of the useful life for €30,000.Table 1 presents the pertinenteconomic data. At the end of the second year the working capital is going to be recaptured. The tax rate is 25%, the weighted average cost of capital is 10% and the company fully depreciates fixed assets for tax purposes, using the straight-line depreciation…A store manager must hire a clerk to work in her store. The sales of the store are uncertain and also a function of how hard the clerk works. If the clerk works hard (high effort) then there is a 75% chance that sales will be $500 per day and a 25% chance that they will be $100 per day. If the clerk does not work hard (low effort) then there is only a 25% chance that sales will be $500 and a 75% chance that they will be $100. The store manager is risk neutral and her utility is the expected profits of the store i.e.U^Manager = Expected (Sales – Wages). The clerk is risk averse. In addition, the clerk does not like to work hard so exerting high effort lowers her utility. Her utility function is given by U^clerk(w,e)=w^0.5-e where e is either 0 (low effort) or 4 (high effort). Finally, assume that the clerk could work somewhere else where her total utility would be 10. Thus, she will only work in this store if the total utility of working here is at least 10. Below, assume that if the…Suppose that there are two types of entrepreneur: skilled and unskilled. Skilled entrepreneurs have a probability p = 2/3 of success if they get the loan. Unskilled entrepreneurs have zero chance of being successful. Despite that, assume that unskilled entrepreneurs want to take up the loan, because it is cool to say you have a startup. The bank does not observe skill. The share of skilled entrepreneurs is s. Question 1: 1A). TRUE OR FALSE: If L = 2, R = 6, and s = 0.5, then the bank would have zero expected profits, but entrepreneurs would never take up the loan. 1B. ) TRUE OR FALSE: If the loan amount is L = 2, the payback amount is R = 3, and the share of skilled entrepreneurs is s = 0.9, then the bank will have positive expected profits.
- Choice under uncertainty. Consider a coin-toss game in which the player gets $30 if they win, and $5 if they lose. The probability of winning is 50%. (a) Alan is (just) willing to pay $15 to play this game. What is Alan’s attitude to risk? Show your work. (b) Assume a market with many identical Alans, who are all forced to pay $15 to play this coin-toss game. An insurer offers an insurance policy to protect the Alans from the risk. What would be the fair (zero profit) premium on this policy? can you help me for par (b) plase?Choice under uncertainty. Consider a coin-toss game in which the player gets $30 if they win, and $5 if they lose. The probability of winning is 50%. (a) Alan is (just) willing to pay $15 to play this game. What is Alan’s attitude to risk? Show your work.(b) Assume a market with many identical Alans, who are all forced to pay $15 to play this coin-toss game. An insurer offers an insurance policy to protect the Alans from the risk. What would be the fair (zero profit) premium on this policy? i need help with question B please.First Fiddler's Bank has foreclosed on a home mortgage and is selling the house at auction. There are three bidders for the house, Ernie, Teresa, and Marilyn. First Fiddler's does not know the willingness to pay of these three bidders for the house, but on the basis of its previous experience, the bank believes that each of these bidders has a probability of 1/3 of valuing it at $600,000, a probability of 1/3 of valuing at $500,000, and a probability of 1/3 of valuing it at $200,000. First Fiddler's believes that these probabilities are in de pendent among buyers. If First Fiddler's sells the house by means of a second- bidder, sealed- bid auction (Vickrey auction), what will be the bank's expected revenue from the sale? (Choose the closest option.) The closest option is 448, 148. Please explain in details thank you.
- Suppose that an individual is just willing to accept a gamble to win or lose $1000 if the probability ofwinning is 0.6. Suppose that the utility gained if the individual wins is 100 utils. What is expected gains/loss.Question 4 Suppose a prosecutor expects to convict a defendant with probability 0.5 and that the sentence on conviction is 10 years in prison. Assume the prosecutor values prison time at $1,000 per year (its value as a deterrent of crime), and incurs a cost of trial equal to $2,000. a. What is the minimum prison sentence the prosecutor will o er as part of a plea bargain if her objective is to maximize the expected value of the sentence imposed, less the cost of trial (ignore the information provided in b. below to answer this question a.)? b. Suppose the defendant believes his chances of being convicted are 0.3, his cost of prison time is $5,000 per year, and his cost of a trial is $1,000. Will he accept the plea bargain in a.?Microeconomics Wilfred’s expected utility function is px1^0.5+(1−p)x2^0.5, where p is the probability that he consumes x1 and 1 - p is the probability that he consumes x2. Wilfred is offered a choice between getting a sure payment of $Z or a lottery in which he receives $2500 with probability p = 0.4 and $3700 with probability 1 - p. Wilfred will choose the sure payment if Z > CE and the lottery if Z < CE, where the value of CE is equal to ___ (please round your final answer to two decimal places if necessary)