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- Describe the relationship between Expected Value, Expected Utility and Certain Equivalent (at least 150 words)
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- Define the term expected return?Suppose an investor is concerned about a business choice in which there are three projects, the probability and returns are given below. Probability Return 0.4 $100 0.4 40 The expected value of the uncertain investment is $ ----------- (round off to the nearest dollar.Consider the following data: x 44 55 66 77 88 P(X=x)P(X=x) 0.30.3 0.20.2 0.20.2 0.10.1 0.20.2 Copy Data Step 1 of 5: Find the expected value E(X)E(X). Round your answer to one decimal place.
- A company owns an asset that is worth $245,000 and there is a 6% chance that it will lose $185,000 in value, otherwise it will not change. If the company has an expected utility functions with u(x) = x0.5, then the expected utility for the company is 480 464 460 456Find the expected value assuming the risk factor is 30 % and the interest rate 12%, if you will receive $20,000 one year from today.please show workJohn has an investment budget of £20,000. In addition, he has borrowed £10,000 at a fixed interest rate of 5%. He decides to invest all available funds in a portfolio of equities which has an expected rate of return of 12% and standard deviation of 20%. What is the standard deviation of the return on John’s overall investment portfolio?
- Find the expected value assuming the risk factor is 30 % and the interest rate is 15%, if you will receive $20,000 one year from today. Find the expected value assuming the risk factor is 30 % and the interest rate is 15%, if you will receive $20,000 two years from today.Suppose that a new machine tool having a useful life of only one year costs $80,000. Suppose, also, that the net additional revenue resulting from buying this tool is expected to be $92,000. The expected rate of return on this tool is 15 percent. 85 percent. 20 percent. 10 percent.HomeGrown is a small restaurant that specializes in serving local fruits, vegetables, and meats. The company has chosen to enter into a long-term relationship with Family Farms, a local farming operation. The two parties have decided to enter into a long-term contract, where Family Farms will supply produce to HomeGrown at specified prices and volume each year. Before signing a contract, HomeGrown is trying to decide how long the contract should be. It estimates that each year the contract covers saves the restaurant $1,000 in bargaining and opportunism costs. However, each year the contract covers also requires more legal fees. HomeGrown estimates that the number of hours required from lawyers, L, has a quadratic relationship with the number of years on the contract, so that L = Y2, where Y is the number of years for the contract. If HomeGrown’s lawyers charge $100 per hour, how long should the contract be?
- A drug company is considering investing $100 million today to bring a weight loss pill to the market. At the end of one year, the firm will know the payoff; there is a 0.50 probability that the pill will sell at a high price and generate $37 million per year of profit forever and a 0.50 probability that the pill will sell at a low price and generate $I million per year of profit forever. The interest rate is 10%. Suppose the firm decides to wait one year to determine whether the pill will sell at a high or low price. The firm will not invest if it learns that the pill will sell at a low price. What is the net present value of waiting one year to make the investment?O $88 millionO$122.72 millionO $201.22 millionO $64.5 millionThe owners of a small manufacturing concern have hired a vice president to run the company with the expectation that he will buy the company after five years. For the first $150,000 of profit, the vice president's compensation is a flat annual salary of $50,000 plus 90% of company profits. Beyond the first $150,000 in profits, the vice president's compensation is the salary he receives at $150,000 profit plus 10% of company profits in excess of $150,000.How do you plot the annual compensation of the vice president as a function of annual profit?You plan to invest $1,000 in a corporate bond fund or in a common stock fund. The following table represents the annual return (per $1,000) of each of these investments under various economic conditions and the probability that each of those economic conditions will occur. Compute the expected return for the corporate bond and for the common stock fund. Show your calculations on excel for expected returns. Compute the standard deviation for the corporate bond fund and for the common stock fund. Would you invest in the corporate bond fund or the common stock fund? Explain. If choose to invest in the common stock fund and in (c), what do you think about the possibility of losing $999 of every $1,000 invested if there is depression. Explain.