A.
To determine: The expected return and the alpha for each stock.
Introduction: The
A.
Answer to Problem 12CP
For each stock X, expected return is 12.2% and the alpha is 1.8%.
For each stock Y, expected return is 18.5% and the alpha is -1.5%.
Explanation of Solution
Given Information:
The capital asset pricing model describes the expected return on beta based security. This model is used for determining the expected
With substituting the value of beta 0.8, expected rate of return on market
For stock X, the expected return is
With substituting the value of beta
For stock Y, the expected return is
Calculation of alpha for stock X,
So, the alpha for stock X is
Calculation of alpha for stock Y,
So, the alpha for stock Y is
B.
To determine: The most appropriate stock for the investor
Introduction: The Capital Asset Pricing Model explains the relationship among the systematic risk of an asset and the return that are expected.
B.
Answer to Problem 12CP
Stock Y should be chosen
Explanation of Solution
Given Information:
Forecast returns, standard deviations and the beta values are given.
The capital asset pricing model describes the expected return on beta based security. This model is used for determining the expected return on asset, which is based on systematic risk. An investor should invest in single stock, when stock having high expected
Here, Risk premium is
Standard deviation is
Expected rate of return is
Risk free return is
So, the Sharpe ratio is 25% for stock X
So, the Sharpe ratio is
Determination of Sharpe ratio of market index,
Sharpe ratio of market index is
As the Sharpe ratio and the expected return of Sock Y are higher, the risk becomes lesser. So, stock Y is chosen by the investor.
Want to see more full solutions like this?
Chapter 9 Solutions
INVESTMENTS-LOOSELEAF
- You have been hired at the investment firm of Bowers & Noon. One of its clients doesn’t understand the value of diversification or why stocks with the biggest standard deviations don’t always have the highest expected returns. Your assignment is to address the client’s concerns by showing the client how to answer the following questions: Write out the equation for the Capital Market Line (CML), and draw it on the graph. Interpret the plotted CML. Now add a set of indifference curves and illustrate how an investor’s optimal portfolio is some combination of the risky portfolio and the risk-free asset. What is the composition of the risky portfolio?arrow_forwardAn analyst has modeled the stock of a company using the Fama-French three-factor model. The market return is 10%, the return on the SMB portfolio (rSMB) is 3.2%, and the return on the HML portfolio (rHML) is 4.8%. If ai = 0, bi = 1.2, ci = 20.4, and di = 1.3, what is the stock’s predicted return?arrow_forwardAs the chief investment officer for a money management firm specializing in taxable individual investors, you are trying to establish a strategic asset allocation for two different clients. You have established that Ms. A has a risk-tolerance factor of 8, while Mr. B has a risk-tolerance factor of 27. The characteristics for four model portfolios follow: ASSET MIX Portfolio Stock Bond ER σ2 1 6 % 94 % 9 % 6 % 2 25 75 10 10 3 67 33 11 14 4 88 12 12 24 Calculate the expected utility of each prospective portfolio for each of the two clients. Do not round intermediate calculations. Round your answers to two decimal places. Portfolio Ms. A Mr. B 1 2 3 4 Which portfolio represents the optimal strategic allocation for Ms. A? Which portfolio is optimal for Mr. B? Portfolio represents the optimal strategic allocation for Ms. A. Portfolio is the optimal allocation for Mr. B. For Ms. A, what level of…arrow_forward
- As the chief investment officer for a money management firm specializing in taxable individual investors, you are trying to establish a strategic asset allocation for two different clients. You have established that Ms. A has a risk-tolerance factor of 8, while Mr. B has a risktolerance factor of 27. The characteristics for four model portfolios follow: ASSET MIX Portfolio Stock Bond ER o^2 1 5% 95% 8% 5% 2 25% 75% 9% 10% 3 70% 30% 10% 16% 4 90% 10% 11% 25% a. Calculate the expected utility of each prospective portfolio for each of the two clients. b. Which portfolio represents the optimal strategic allocation for Ms. A? Which portfolio is optimal for Mr. B? Explain why there is a difference in these two outcomes. c. For Ms. A, what level of risk tolerance would leave her indifferent between having Portfolio 1 or Portfolio 2 as her strategic allocation? Demonstrate.arrow_forwardDudley Trudy, CFA, recently met with one of his clients. Trudy typically invests in a master list of 30 equities drawn from several industries. As the meeting concluded, the client made the following statement: “I trust your stock-picking ability and believe that you should invest my funds in your five best ideas. Why invest in 30 companies when you obviously have stronger opinions on a few of them?” Trudy plans to respond to his client within the context of modern portfolio theory.a. Contrast the concepts of systematic risk and firm-specific risk, and give an example of each type of risk.b. Critique the client’s suggestion. Discuss how both systematic and firm-specific risk change as the number of securities in a portfolio is increased.arrow_forwardTareen investing company invested equal amount in five stocks to form investment portfolio which has a Beta value 1.2, Tareen is considering to sell the riskiest stock in the portfolio which has Beta co-efficient to 2 and replace it with another stock. If Tareen replace the stock with Beta = 2 with a stock with Beta = 1, what will be the new Beta of his investment portfolio. Assume that equal amount is invested in each stock in the portfolio?arrow_forward
- You are managing a stock portfolio for a client that contains three assets, A, B, C. You currently hold each in equal proportion and the portfolio has the following characteristics: Your client asks you to add a 4th asset to the portfolio. The new portfolio will hold all assets in equal proportion. You have identified a potential asset, X. Asset X has an expected return of 12%, a Std. deviation of 36% and a correlation with all other assets in the portfolio of 0. ) The expected return of the new portfolio is: ) The variance of the new portfolio is : )The standard deviation of the new portfolioarrow_forwardConsider an investment scenario where you will be choosing a portfolio of three stocks from acollection of five semiconductor stocks, four transportation stocks, two pharmaceutical stocksand two retail stocks. If the three stocks are chosen at random, what is the probability that theportfolio will be financially diverse? The investment portfolio will be considered financiallydiverse if it has at least two different industries represented in the portfolioarrow_forwardYou have been hired as a consultant by Capital Pricing Company's CFO, who wants you to help her estimate the cost of capital. You have been provided with the following data: risk free rate = 5%; market risk premium = 9.3%; and beta = 1.12. Based on the CAPM approach, what is the cost of common stock from reinvested earnings?arrow_forward
- Yessy Enterprise Ltd has prepared the following information regarding two investments under consideration. Based on the risk/return profile, which investment should be accepted? Investment A Investment B Probability Return Probability Return 0.15 8% 0.20 1% 0.35 11% 0.30 8% 0.35 19% 0.30 15% 0.15 -2% 0.20 9% Will you change your recommendation (above) if Yessy Enterprise currently holds a portfolio with only five stocks? Why?arrow_forwardPART A,B and C are completed. need help in D and E. TIA Unique vs. Market Risk. The figure below shows plots of monthly rates of return on three stocks versus the stock market index. The beta and standard deviation of each stock is given besides its plot. A. Which stock is riskiest to a diversified investor? B. Which stock is riskiest to an undiversified investor who puts all her funds in one of these stocks? C. Consider a portfolio with equal investments in each stock. What would this portfolio’s beta have been? D. Consider a well-diversified portfolio made up of stocks with the same beta as Exxon. What are the beta and standard deviation of this portfolio’s return? The standard deviation of the market portfolio’s return is 20 percent. E. What is the expected rate of return on each stock? Use the capital asset pricing model with a market risk premium of 8 percent. The risk-free rate of interest is 4 percent.arrow_forwardJulie wants to create a $5,000 portfolio. She also wants to invest as much as possible in a high-risk stock with the hope of earning a high rate of return. However, she wants her portfolio to have no more risk than the overall market. Which one of the following portfolios is most apt to meet all her objectives? A. Invest the entire $5,000 in a stock with a beta of 1.0. B. Invest $2,500 in a stock with a beta of 1.98 and $2,500 in a stock with a beta of 1.0. C. Invest $2,500 in a risk-free asset and $2,500 in a stock with a beta of 2.0arrow_forward
- Intermediate Financial Management (MindTap Course...FinanceISBN:9781337395083Author:Eugene F. Brigham, Phillip R. DavesPublisher:Cengage Learning