Suppose you are the money manager of an investment fund. The fund consists of four stocks with the following investments and betas: Stock Investment Beta A $488,521 0.85 B $625,047 0 C $1,127,798 0.48 D $1,919,052 1.23 What is the beta coefficient of the portfolio?
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- How would you describe the relationship between a risky investment and the return on that investment (think stocks or retirement accounts)? a casual or limited relationship there is no relationship between the level of risk and the return you get on your investment a direct or positively correlated relationship an inverse or negatively correlated relationshipWhat is the expected return from an investment if there is a 20 percent chance of a 4 percent return, a 40 percent chance of a 8 percent return, and a 40 percent chance of a 12 percent returnSuppose 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%
- If investors want portfolios with small risk, should they look for investments that have positive covariance, have negative covariance, or are uncorrelated? Does a portfolio formed from the mix of three investments have more risk than a portfolio formed from two?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.Question 3 Suppose you hold a diversified portfolio consisting of a $7,500 investment in each of 20 different common stocks. The portfolio beta is equal to 1.12. Now, suppose you have decided to sell one of the stocks in your portfolio with a beta equal to 1.0 for 7,500 and to use these proceeds to buy another stocks for your portfolio. Assume the new stock's beta to 1.75. Calculate your portfolio's new beta.
- You own a stock portfolio Invested 16 percent in Stock Q, 24 percent In Stock R, 36 percent In Stock S, and 24 percent In Stock T. The betas for these four stocks are .94, 1.00, 1.40, and 1.85, respectively. What Is the portfolio beta? Note: Do not round Intermediate calculations and round your answer to 2 decimal places, e.g., 32.16. Portfolio betaThe table uses the standard deviation of the portfolio's return as a measure of risk. A normal random variable, such as a portfolio's return, stays within two standard deviations of its average approximately 95% of the time. Suppose Valerie modifies her portfolio to contain 75% diversified stocks and 25% risk-free government bonds; that is, she chooses combination D. The average annual return for this type of portfolio is 13%, but given the standard deviation of 15%, the returns will typically (about 95% of the time) vary from a gain of to a loss ofGiven the following information, what is the standard deviation of the returns on a portfolio that is invested 35 percent in both Stocks A and C, and 30 percent in Stock B? (see attached chart)
- Suppose Caroline is choosing how to allocate her portfolio between two asset classes: risk-free government bonds and a risky group of diversified stocks. The following table shows the risk and return associated with different combinations of stocks and bonds.CombinationFraction of Portfolio in Diversified StocksAverage Annual ReturnStandard Deviation of Portfolio Return (Risk)(Percent)(Percent)(Percent)A 0 1.50 0B 25 3.00 5C 50 4.50 10D 75 6.00 15E 100 7.50 20There is a relationship between the risk of Caroline's portfolio and its average annual return.Suppose Caroline currently allocates 75% of her portfolio to a diversified group of stocks and 25% of her portfolio to risk-free bonds; that is, she chooses combination D. She wants to reduce the level of risk associated with her portfolio from a standard deviation of 15 to a standard deviation of 5. In order to do so, she must do which of the following? Check all that apply. Sell some of her stocks and use the proceeds to purchase…5. You have been hired as a portfolio manager for a fancy hedge fund. Your first job is to invest $100,000 in a portfolio of two assets. The first asset is a safe asset with a certain return of 5%. The second asset is shares of a dying video-game store that has become popular with retail investors, it has a 20% expected rate of return, but the standard deviation of this return is 10%. Your manager wants a portfolio with as high a rate of return as possible while keeping the standard deviation at or below 4%. How much of the fund's money do you invest in the safe asset?53. Car rental patterns A car rental agency in a major city has a total of 2200 cars that it rents from three loca- tions: Metropolis Airport, downtown, and the smaller City Airport. Some weekly rental and return pat- terns are shown in the table (note that Airport means Metropolis Airport). Rented from Returned to АР DT CA Airport (AP) Downtown (DT) 90% 10% 10% 5% 80% 5% At the beginning of a week, how many cars should be at each location so that same number of cars will be there at the end of the week (and hence at the start of the next week)? 54. Nutrition A psychologist studying the effects of nutrition on the behavior of laboratory rats is feeding one group a combination of three foods: I, II, and III. Each of these foods contains three additives, A, B, and C, that are being used in the study. Each additive is a certain percentage of each of the foods as follows: Foods II II Additive A 10% 30% 60% Additive B Additive C 0% 4% 5% 2% 2% 12% If the diet requires 53 g per day of A, 4.5…