Stock X has a 10% expected return, a beta coefficient of
0.9, and a 35% standard deviation of expected returns. Stock Y has a 12.5% expected return,
a beta coefficient of 1.2, and a 25% standard deviation. The risk-free rate is 6%, and the
market risk premium is 5%.
a. Calculate each stock’s coefficient of variation.
b. Which stock is riskier for a diversified investor?
c. Calculate each stock’s required rate of return.
d. On the basis of the two stocks’ expected and required returns, which stock would be
more attractive to a diversified investor?
e. Calculate the required return of a portfolio that has $7,500 invested in Stock X and
$2,500 invested in Stock Y.
f. If the market risk premium increased to 6%, which of the two stocks would have the
larger increase in its required return?
Trending nowThis is a popular solution!
Step by stepSolved in 6 steps with 4 images
- Suppose that many stocks are traded in the market and that it is possible to borrow at the risk-free rate, rƒ. The characteristics of two of the stocks are as follows: Stock Expected Return Standard Deviation A 8% 55% B 4% 45% Correlation = −1 Required: a. Calculate the expected rate of return on this risk-free portfolio? (Hint: Can a particular stock portfolio be formed to create a “synthetic” risk-free asset?) (Round your answer to 2 decimal places.) b. Could the equilibrium rƒ be greater than rate of return?arrow_forwardYou are examining three different shares. Share A has expected return -0.30%, beta -0.49, and volatility 29.00%. Share B has expected return 9.80%, beta 1.09, and volatility 24.00%. Finally, share C has expected return 8.60%, beta 0.88, and volatility 13.00%. The risk free rate is 2.70%, while the market price of risk is 7.00%. According to the CAPM, which share is undervalued?arrow_forwardWe know that two stocks A and B are correctly priced by the CAPM model. For A, the expected return is 12%, and the beta is 1.5; for B, the expected return is 6%, and the beta is 0.5. Based on this information, what is the risk free rate and expected market return? Select one: A. 3%; 9% B. 3%; 6% C. 2%; 8% D. 4%; 10%arrow_forward
- Consider two types of assets: market portfolio (M) and stock A. The expected return is 8% and standard deviation of the market portfolio is 15%. The risk-free rate is 2%. The standard deviation of market portfolio returns is 15%. The standard deviation of stock A is 30%, and the beta coefficient is 1. Draw the capital market line and show the position of stock A.arrow_forwardSuppose securities A, B, and C have the following expected return and risk. Stock Expected return Risk A 8% 6% B 7% 9% C 13% 9% What is the coefficient of variation for stock A?arrow_forwardAssume that the risk-free rate is 2.8 percent, and that the market risk premium is 4.8 percent. If a stock has a required rate of return of 16.1 percent, what is its beta? Your Answer: Answerarrow_forward
- Questionarrow_forward1. Stock Y has a beta of 1.2 and an expected return of 11.1 percent. Stock Z has a beta of .8 and an expected return of 7.85 percent. If the risk-free rate is 2.4 percent and the market risk premium is 7.2 percent, the reward-to-risk ratios for stocks Y and Z are ____ and ____ percent, respectively. Since the SML reward-to-risk is ____ percent, Stock Y is ____(undervalued/ overvalued) and Stock Z is ____(undervalued/ overvalued).arrow_forwardStock X has a beta of 1.15 and an expected return of 11.1 percent. Stock Y has a beta of 1.2 and an expected return of 11.5 percent. What is the risk - free rate of return assuming that both stock X and stock Y are correctly priced?arrow_forward
- i) Calculate the expected return for each stock assuming the Capital Asset Pricing Model (CAPM) is valid, and explain if they are correctly priced. Show your calculations.arrow_forwardStock R has a beta of 1.8, Stock S has a beta of 0.55, the expected rate of return on an average stock is 9%, and the risk-free rate is 3%. By how much does the required return on the riskier stock exceed that on the less risky stock?arrow_forwardSuppose we have the following information: Securit Amount Invested Expected Return Beta Stock A RM1 ,OOO 8% 0.80 Stock B RM2,OOO 12% 0.95 Stock C RM3,OOO 15% 1.10 Stock D RM4,OOO 18% a) Compute the expected return on this portfolio. b) Calculate the beta of the portfolio. c) Does this portfolio have more or less systematic risk than an average asset? Explain.arrow_forward
- Essentials Of InvestmentsFinanceISBN:9781260013924Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.Publisher:Mcgraw-hill Education,
- Foundations Of FinanceFinanceISBN:9780134897264Author:KEOWN, Arthur J., Martin, John D., PETTY, J. WilliamPublisher:Pearson,Fundamentals of Financial Management (MindTap Cou...FinanceISBN:9781337395250Author:Eugene F. Brigham, Joel F. HoustonPublisher:Cengage LearningCorporate Finance (The Mcgraw-hill/Irwin Series i...FinanceISBN:9780077861759Author:Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan ProfessorPublisher:McGraw-Hill Education