The Hotel California faces a risk that it will suffer a fire causing a $200 million loss with a probability of 0.02. The owner of the firm, Don Glenn, has a utility function of U = Ws where W is the owner's wealth (as measured by the value of the hotel in millions of dol- lars). Suppose that the initial value of the hotel is $225 million (W = 225). a. What is Don Glenn's expected loss?
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- What will happen if two assets are earning the same expected return, but one is more risky than the other?Suppose you visit with a financial adviser, and you are considering investing some of your wealth in one of three investment portfolios stocks, bonds, or commodities. Your financial adviser provides you with the following table, which gives the probabilities of possible returns from each investment To maximize your expected return, you should choose: Stocks Bonds Probability Return Probability Return 0.15 20% 0.15 16.7% 06 10% T 04 7.5% 0.25 8% 0.45 3.3% OA bonds OB stocks OC. commodities OD. All of the portfolios have the same expected return. If you are risk-averse and had to choose between the stock or the bond investments, you would choose OA the stock portfolio because there is less uncertainty over the outcome OB. the bond portfolio because there is less uncertainty over the outcome. OC. the stock portfolio because of greater expected return. OD. the bond portfolio because of greater expected return. Commodities Probability Return 02 20% 0.2 15% 0.2 8% 02 02 5% 0%3b. By investing in a particular stock, Mullins can in one year make a profit of $5000 with a probability 0.4 or lose $5000 with probability of 0.6. What is Mullins expected gain?
- You have decided to invest in an open-end mutual fund. You are currently looking at a fund-Washington Premier Fund-in your newspaper. The fund is quoted as: Name NAV Net Chg YTD %RET 36.25 0.15 6.95 Assume that today's opening price of Washington Premier Fund equals yesterday's closing price. If you wanted to make your investment first thing this morning, then you should expect to pay for each share of since it Yesterday, each share of sold for $35.95 $43.50 $36.25 $34.44 $0.15 less $0.15 more $6.95 less $6.95 more If you had $8,000 available to invest, you could purchase than it did the day before, and offers a return of 294 368 assesses a 0.15% fee 276 shares of. is a no-load fund charges a 6.95% fee 221 Your evaluation of the Washington Premier Fund is made easier by the fact that: your investment choices are limited. mutual funds are careful to explicitly state their investment objectives. a mutual fund broker will select a customized mix for you. 0.15% 36.25% 6.95% for the year.12. Complete the following examples The Hotel California faces a risk that an earthquake will cause a $200 million loss; probability is 0.02. The owner of the hotel, Eddie Eagle, has a utility function of U= W05, where Wis the owner's wealth (as measured by the value of the hotel in millions of dollars). Suppose the initial value of the hotel is $225 million (W = 225). What is the expected loss for Eddie Eagle? What is Eddie Eagle's expected utility? Risk premium? o The Anderson family lives in the Arizona wilderness. Their property is at risk for being destroyed by a forest fire. It is estimated that each year the Anderson face a 5 percent probability of a $500,000 loss. The Anderson family has a utility function of U = W 0.7, where W is wealth and measured in dollars. Suppose their current wealth is $1 million. What is the family's expected loss from fire? What is the Anderson family's expected utility? What is the maximum value the Andersons will pay for insurance to completely…Suppose you have just inherited $10,500 and are considering different options for investing the money to maximize your return. If you are risk-neutral (that is, neither seek out or shy away from risk), which of the following options should you choose to maximize your expected return? A. Hold the money in cash and earn zero return. B. Invest the money in a corporate bond, with a stated return of 4%, but there is a chance of 9% the company could go bankrupt. C. Put the money in an interest-bearing checking account, which earns 3%. The FDIC insures the account against bank failure. D. Loan the money to one of your friends' roommates, Mike, at an agreed upon interest rate of 7%, but you believe there is a 5% chance that Mike will leave town without repaying you.
- $10000, faces a 1. Calculate the expected utility of a person who has wealth W potential loss of C $5000 with probability π and has a utility index u(x) over money: = (i) π = 0.01 and u(x) = x²; (ii) π = 0.01 and u(x) = √√√√x; (iii) π = = 0.1 and u(x) = −2-x/10000. (iv) π = : 0.1 and u(x) = ln(x) with the natural base (v) π = = 0.1 and u(x) = log₁0 (x) with the base 10 =Define the term Expected return on a risky asset?You have $1,000 that you can invest. If you buy Ford stock, you face the following returns and probabilities from holding the stock for one year: with a probability of 0.2 you will get $1,500; with a probability of 0.4 you will get $1,100; and with a probability of 0.4 you will get $900. If you put the money into the bank, in one year’s time you will get $1,100 for certain. a) What is the expected value of your earnings from investing in Ford stock? b) Suppose you are risk-averse. Can we say for sure whether you will invest in Ford stock or put your money into the bank?
- Which combination maximises excess portfolio expected return per unit of risk? What is the economic interpretation for this combination?Q4. An individual with the utility function u(x) = x² owns her wealth of $20,000. An expected profit maximizing company (or risk neutral company) facing the individual can make expected profit greater than $ 19,900. True or False? Explain it. If it is true, showThe Anderson family lives in the Arizona wilderness. Their property is at risk for being destroyed by a forest fire. It is estimated that each year the Anderson face a 5 percent probability of a $500,000 loss. The Anderson family has a utility function of U = W 0.7, where W is wealth and measured in dollars. Suppose their current wealth is $1 million. What is the family's expected loss from fire? What is the Anderson family's expected utility? What is the maximum value the Andersons will pay for insurance to completely protect their home? What is the risk premium?