The risk-free rate in the market is 45% and the total return on the Market Portfolio is 10.5%. The risk of the Market Portfolio, measured by its standard deviation is 18%. Stock A is mispriced and has an alpha of 2.1% and a beta of 100. Sock A residuals from the single index model have a standard deviation of 30%. To

The risk-free rate in the market is 45% and the total return on the Market Portfolio is 10.5%. The risk of the Market Portfolio, measured by its standard deviation is 18%. Stock A is mispriced and has an alpha of 2.1% and a beta of 100. Sock A residuals from the single index model have a standard deviation of 30%. To

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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The expected return and standard deviation of Stock A are 12% and 24%, respectively. The expected return and standard deviation of Stock B are 5% and 19%, respectively. The correlation between the two stocks is 0.4. The risk-free rate in the economy is 1%. A. What is the Sharpe ratio for Stock A and Stock B? Show your calculation steps briefly and clearly. B. Calculate the optimal risky portfolio P*. You do not need to show your calculation steps for this subquestion. C. Now suppose that the correlation between the two stocks is -0.2 (instead of 0.4). Re-calculate the optimal risky portfolio P* and compare it to your answer in Part B. What do you observe? You do not need to show your calculation steps for this subquestion. D. Using the results above, briefly explain why investors might still consider investing in stocks with a (relatively) low Sharpe ratio as a part of their portfolio.
he risk-free rate is 4.2 percent and the expected return on the market is 12.3 percent. Stock A has a beta of 1.2 and an expected return of 13.1 percent. Stock B has a beta of 0.75 and an expected return of 11.4 percent. Are these stocks correctly priced? Why or why not? No, Stock A is underpriced and Stock B is overpriced. No, Stock A is overpriced and Stock B is underpriced. No, Stock A is overpriced but Stock B is correctly priced. No, Stock A is underpriced but Stock B is correctly priced. Yes, both stocks are correctly priced.
We have the following information on Stocks A and B. The risk-free rate is 5%, and the market risk premium is 7.5%. Assume that the market portfolio is correctly priced. Based on the reward-to-risk ratio, are Stocks A and B overpriced, underpriced, or correctly priced? Stock A Stock B Expected return 1196 16.25% Beta 0.8 1.5
The expected return on the Market Portfolio M is E(RM)=15%, the standard deviation is sM=25% and the risk-free rate is Rf=5%. a. Suppose that stock X has standard deviation sX=30%, and correlation with the market portfolio rXM=0.5. Compute bX and E(RX) (the beta and the expected return of stock X) according to the Market Model (ie: alpha equals zero under the Market Model). b. Suppose that stock Y has standard deviation sy=15%, and correlation with the market portfolio rYM=-0.1. Compute bY and E(RY) (the beta and the expected return of stock Y) according to the Market Model (ie: alpha equals zero under the Market Model). c. Compute the beta of a portfolio composed 65% of stock X and 35% of stock Y.
Stock A has expected return of 15% and standard deviation (s.d.) 20%. Stock B has expected return 20% and s.d. 15%. The two stocks have a correlation coefficient of 0.5. 1.Note that Stock A has greater risk (s.d.) that Stock B, but a lower expected return. Explain how is this possible in a world where returns on assets are as predicted by the CAPM. 2. Determine the expected return and the s.d. of portfolio P1, composed by investing 30% in stock A and 70% in stock B. 3. Consider stock C that has expected return 15% and s.d. 15%. Stock C is uncorrelated with either stock A and stock B. Determine the expected return and s.d. of portfolio P2 made by investing 50% in stock C and 50% in portfolio P1.
Stock A has expected return of 15% and standard deviation (s.d.) 20%. Stock B has expected return 20% and s.d. 15%. The two stocks have a correlation coefficient of 0.5. a. Note that Stock A has greater risk (s.d.) that Stock B, but a lower expected return. Explain how is this possible in a world where returns on assets are as predicted by the CAPM. The beta of stock A is 1 and the beta of stock B is 1.5. What is the risk premium on the market portfolio, if the CAPM holds ?
Stock A has a beta of 1.30, and its required return is 11.35%. Stock B's beta is 0.80. If the risk-free rate is 2.90%, what is the required rate of return on B's stock? (Hint: First find the market risk premium.) Do not round your intermediate calculations. a. 8.10% b. 6.50% c. 7.56% d. 8.45% e. 8.77%
There are two securities: Stock G and stock H. Stcok G has expected return of 12% and a standard deviation of 20% while stock H has an expected return of 3.5% and a standard deviation of 4%. The correlation coefficient between the two securities is 0.35. The risk free rate is 3%. 1. What is the weight of stock G in the optimal risky portfolio ? 2. What does a negative weight in stock H mean?
Stock A is fairly priced by the market. Given that the risk free rate is 3.5%, the beta of stock A is 1.2, the beta of stock B is 0.8, the expected return on A is 6.5% and on B is 5.5% which of the following is correct given that betas of stocks A and B are correct? a. Stock B is also fairly priced b. The expected return on stock B is too high c. The expected return on stock A is too high d. The price of stock B is too high e. The price of stock A is too high. 9) Which of the following would likely have the greatest amount of systematic risk? a. A portfolio of the ordinary shares of 100 randomly selected companies b. The market portfolio c. A portfolio half invested in the market portfolio and half invested in treasury bills d. A portfolio half invested in the market portfolio and half invested in stocks with betas greater than 1.5 e. A portfolio made up entirely of treasury bills
Using the CAPM, estimate the appropriate required rate of return for the three stocks listed here, given that the risk-free rate is 4 percent and the expected return for the market is 17 percent. STOCK BETA A 0.63 B 0.95 C 1.48 a. Using the CAPM, the required rate of return for stock A is B.Using the CAPM, the required rate of return for stock b is C.Using the CAPM, the required rate of return for stock C is (Round to two decimal places.)
You have been provided the following information as part of a consultation query:The risk free rate is 3.2%The market risk premium (rM - rRF) is 5.3%Stock A - has a beta of 1.2 betaStock B - has a beta of 0.85 beta (a). What is the required rate of return on each stock? (b). Assume that investors become less willing to take on risk (ie., they become more riskaverse), so the market risk premium rises 6%. Assume that the risk-free rate remains constant. What effect will this have on the required rates of return on the two stocks?
We 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%

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