Consider stocks of Firms A and B. Their expected returns are 12% and 11%, respectively, and the volatilities of their returns are 8% and 10%, respectively. Firm A has a market beta of 1.5 and Firm B has a market beta of 1.0, and the correlation between the two stocks is 0.5. Your risk-averse client wants to invest $5 million with an expected return of 15%. You can put together a portfolio with the market index, Firm A, Firm B, and a risk-free asset. Which of these four securities would you include in the portfolio and how much would you invest in each security?

Consider stocks of Firms A and B. Their expected returns are 12% and 11%, respectively, and the volatilities of their returns are 8% and 10%, respectively. Firm A has a market beta of 1.5 and Firm B has a market beta of 1.0, and the correlation between the two stocks is 0.5. Your risk-averse client wants to invest $5 million with an expected return of 15%. You can put together a portfolio with the market index, Firm A, Firm B, and a risk-free asset. Which of these four securities would you include in the portfolio and how much would you invest in each security?

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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Your client has $103,000 invested in stock A. She would like to build a two-stock portfolio by investing another $103,000 in either stock B or C. She wants a portfolio with an expected return of at least 15.0% and as low a risk as possible, but the standard deviation must be no more than 40%. What do you advise her to do, and what will be the portfolio expected return and standard deviation? Expected Return Standard Deviation Correlation with A A 16% 46% 1.00 B 14% 38% 0.18 C 14% 38% 0.28 The expected return of the portfolio with stock B is %. (Round to one decimal place.)
Calculate the Sharpe ratio, Treynor ratio, M-squared and Jensen's alpha for a stock with an expected return of 11%, standard deviation of 16% and a market beta of 1.4. The expected market return is 9%, the standard deviation of the market return is 12% and the risk-free rate is 4%. Would you invest in this stock or not? (Your answer might change depending on your current portfolio allocation).
You invest in a portfolio of 5 stocks with an equal investment in each one. The betas of the 5 stocks are as follows: 0.8, -1.3, 0.95, 1.2, and 1.4. The risk-free return is 3% and the market return is 7%. a. Compute the beta of the portfolio. b. Compute the required return of the portfolio.
You have two assets in your portfolio. Asset X has a beta of 1.7 and Asset Y has a beta of 0.50. The expected return on the market is 13% and the risk free rate is 4%. What would be the reward to risk ratio for Asset X assuming that the market is in equilibrium? A) 11.3% B) 19.3% C) 9.0% D) 8.5% E) 5.8%
An analyst has modeled the stock of a company using the Fama-French three-factor model. The market return is 12%, the return on the SMB portfolio (rSMB) is 2.1%, and the return on the HML portfolio (rHML) is 4.6%. If ai = 0, bi = 1.2, ci = -0.4, and di = 1.3, what is the stock's predicted return? Do not round intermediate calculations. Round your answer to two decimal places.
The balance sheet for Shankland Corporation follows: 000'009 $ 000006 Current assets Long-term assets (net) Total assets Current liabilities Long-term liabilities Total liabilities Common stock and retained earnings 000 0000 000 00 000 009' 000 006 Total liabilities and stockholders' equity 000'00s Required Compute the following. (Round "Ratios" to 1 decimal place.) Working capital Current ratio Debt-to-assets ratio Debt-to-equity ratio
An investor can design a risky portfolio based on two stocks, A and B. Stock A has an expected return of 15% and a standard deviation of return of 25%. Stock B has an expected return of 10% and a standard deviation of return of 20%. The correlation coefficient between the returns of A and B is 0.5. The risk-free rate of return in this economy is 4%. The investor wishes to construct an optimal risky E[rp]-rf portfolio (i.e. the portfolio with the highest Sharpe ratio = -). The proportion of the optimal risky portfolio that should be invested in stock A is 65.14% 82.25% 71.15% 74.36% 68.20%
You manage a risky portfolio with an expected rate of return of 12% and a standard deviation of 36%. The T-bill rate is 3%. Stock A 27% Stock B 35% Stock C 38% Suppose that your client decides to invest in your portfolio a proportion y of the total investment budget so that the overall portfolio will have an expected rate of return of 10%. Required: What is the proportion y? What are your client’s investment proportions in your three stocks and the T-bill fund? What is the standard deviation of the rate of return on your client’s portfolio?
You are examining a portfolio manager’s active investing portfolio. The portfolio has a beta of 2 and has an average return of 15%. The risk free rate is 1% and the market return is 10%, is the manager’s active investing strategy working ?
You are considering three stocks—A, B, and C—for possible inclusion in your investment portfolio. Stock A has a beta of 0.80, stock B has a beta of 1.40, and stock C has a beta of -0.30. If the return on the market portfolio increased by 12%, what change would you expect in the return for each stock? If the return on the market portfolio decreased by 5%, what change would you expect in the return for each stock?
You are considering investing $1,000 in a T-bill that pays a rate of return of 0.06 and a risky portfolio, P, constructed with 2 risky securities, X and Y. The weights of X and Y in P are 0.70 and 0.30, respectively. X has an expected rate of return of 0.14 and a variance of 0.01, and Y has an expected rate of return of 0.10 and a variance of 0.0081. If you want to form a portfolio with an expected rate of return of 0.11, what percentages of your money must you invest in the T-bill, X, and Y, respectively if you keep X and Y in the same proportions to each other as in portfolio P?
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