Consider a risk averse expected utility maximize. He considers two job contracts. The first one pays either $1000 cm S3000 with equal probability. The second has probability 1/9 that it will pay nothing, probability 7/9 that it will earn $2000 and probability 1/9 that it will earn $4000. (a) What is the expected pay for each job contract? (b) What is the variance of each job contract? (c) Can you compare the two job contracts in terms of First or Second order Stochastic Dominance?
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- Economics A group of 20,000 households in one neighborhood was covered in fire insurance that estimates a 2% probability of loss. Assuming that in the same neighborhood, the actual number of houses gutted by fire within one coverage cycle is 350 to 450. Requirements; a. Compute for the expected value of the loss.Please no written by hand A bank has two $10 million one-year loans. Possible outcomes are as follows: Outcome Neither loan defaults Loan 1 defaults, loan 2 does not default Loan 2 defaults, loan 1 does not default Both loans default Probablity 97.5% 1.25% 1.25% 0.00%.If a default occurs, losses can use normal distribution with mean $5 million and standard deviation $1 million to approximate. If a loan does not default, a profit of $0.2 million is made. (a). What is the VaR for of each project when the confidence level (a). What is the VaR for of each project when the confidence level is 99%? (b). What is the expected shortfall of each project when the confidence level is 99%? (c). What is the VaR for a portfolio consisting of the two investments when the confidence level is 99%?) (d). What is the expected shortfall for a portfolio consisting of the two investments when the confidence level is 99%?A plaintiff believes that there is a 30% chance that he will winIf he wins, he will gain $50,000. It costs him $5000 in non‐recoverable litigation costs to take the case to court. If the plaintiff is risk‐neutral, which of the following is true? A) The plaintiff will take the case to court with an expected net‐gain of $10,000 B) The plaintiff will take the case to court with an expected net‐gain of $15,000 C) The plaintiff will not take the case to court because he is afraid of losing. D) None of the above
- Determine whether or not to stock a large supply of steel. There is uncertainty in the price of steel. Based on past history the following data are available Price (future) Prob (Price) PW if stocked PW if not stocked High 0.3 100000 0 Medium 0.5 -10000 0 Low 0.2 -50000 0 What is the probability that stocking steel will result in a negative present worth (PW)?Problem Solving. Solve the following problems completely. 2. You have identified two risks with a 18% and a 25% chance of occurring. They willcost you P50,000 and P98,000 if both risks happen.a. What is the expected monetary value of the first event?b. What is the expected monetary value of the second event?A project has a 60% chance of doubling your investment in one year and a 40% chance of losing half your money. What is the standard deviation of this investment? A. 25% B. 50% C. 62% D. 73%
- Probability Possible Rate of Return 0.25 -0.10 0.15 0.00 0.35 0.10 0.25 0.25 a. Under what conditions can the standard deviation be used to measure the relative risk of two investments? b. Under what conditions must the coefficient of variation (CoVar) be used to measure the relative risk of two investments?Please answer the question Minimum 150 words How is it possible to measure the risk and consider the tradeoff risk return? (Time value of money)Q1) An expected utility maximiser owns a car worth £60000£60000 and has a bank account with £20000£20000. The money in the bank is safe, but there is a 50%50% probability that the car will be stolen. The utility of wealth for the agent is u(y)=ln(y)u(y)=ln(y) and they have no other assets.
- You’re the manager of global opportunities for a U.S. Manufacturer, who is considering expanding sales into Asia. Your market research has identified the market potential in Malaysia, Philippines, and Singapore as described next: Success Level Malaysia Philippines Singapore Probability Units Probability Units Probability Units Big 0.3 1,200,000 0.3 1,000,000 0.7 700,000 Mediocre 0.3 600,000 0.5 320,000 0.2 400,000 Failure 0.4 0 0.2 0 0.1 0 The product sells for $10 and has unit costs of $8. If you can enter only one market, and the cost of entering the market (regardless of…a) There are several environmental factors that can impact a government’s financial condition. Some factors are more difficult to measure or assign probabilities to. Which of the following environmental factors is the most difficult to measure or assign a probability to? Group of answer choices 1: Business activity. 2: Rate of inflation. 3: Revenue restrictions. 4: Political culture and climate.Exercise 9.2 (start-up and venture capitalist exit strategy). There are three periods, t = 0, 1, 2. The rate of interest in the economy is equal to 0, and ev- eryone is risk neutral. A start-up entrepreneur with initial cash A and protected by limited liability wants to invest in a fixed-size project. The cost of invest- ment, incurred at date 0, is I > A. The project yields, at date 2, R > 0 with probability p and 0 with prob- ability 1 − p. The probability of success is p = pH if the entrepreneur works and p = pL = pH − ∆p (∆p > 0) if the entrepreneur shirks. The entrepre- neur’s effort decision is made at date 0. Left unmon- itored, the entrepreneur obtains private benefit B if she shirks and 0 otherwise. If monitored (at date 0), the private benefit from shirking is reduced to b B. There is a competitive industry of venture capi- talists (monitors). A venture capitalist (general part- ner) has no fund to…