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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An analyst has modeled the stock of a company using a FamaFrench three-factor model and has estimated that ai 5 0, bi 5 0.7,ci 5 1.2, and di 5 0.7. Suppose that the daily risk-free rate isapproximately equal to zero, the market return is 11%, the returnon the SMB portfolio is 3.2%, and the return on the HML portfoliois 4.8% on a particular day. The stock had an actual return of 16.9%on that day. What is the stock’s predicted return for that day?(14.9%) What is the stock’s unexplained return for the day? (2%)
Suppose you have a portfolio that has $290 in stock A with a beta of 1.04, $1, 160 in stock B with a beta of1.34, and $870 in the risk-free asset. You have another $580 to invest. You wish to achieve a beta for yourwhole portfolio to be the same as the market beta. What is the beta of the added security?
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.
Suppose you are given stocks A and B. Stock A has an expected return of 11% and a standard deviation of 4%. Stock B has an expected return of 21% and a standard deviation of 10%. The correlation between them is -1. Suppose it is possible to borrow at the risk-free rate, rf. What must be the value of the risk-free rate? (Hint: Think about constructing a risk-free portfolio from stocks A and B.) (Round answer to 3 decimal places.)
Consider two stocks, A and B. Stock A has an expected return of 12% with a standard deviation of 20%, and Stock B has an expected return of 16% with a standard deviation of 30%. The correlation coefficient between the returns of Stock A and Stock B is 0.4, and the risk - free rate is 4%. If you plan to invest $20,000 in a portfolio consisting of these two stocks, the optimal dollar amount to invest in Stock A to maximize the portfolio's Sharpe ratio is: a. $12,000 b. $10,000 c. $8,000 d. $15,000 e. $6,000
You own a portfolio equally invested in a risk-free asset and two stocks. If one of the stocks has a beta of 1.25 and an expected return of 15%. The other stock has an expected return of 21%. The total portfolio is equally as risky as the market (i.e.Bp=1). What is the beta for the other stock in your portfolio? What is the expected return of the risk-free asset? What is the expected return of the market? What is the expected return of your portfolio?
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%
An analyst has modeled the stock of Crisp Trucking using a two-factor APT model. The risk-free rate is 6%, the expected return on the first factor (r1) is 12%, and the expected return on the second factor (r2) is 8%. If bi1 = 0.7 and bi2 = 0.9, what is Crisp’s required return?
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%
You have just invested in a portfolio of three stocks. The amount of money that you invested in each stock and its net are summarized below. Calculate the beta of the portfolio and use the capital asset pricing model (CAPM) to compute the expected rate of return for the portfolio. Assume that the expected rate of return on the market is 18% and that the risk-free rate is 6%. Stock A, Investment = $188,000, Beta=1.50, Stock B, Investment = $282,000, Beta =0.50, Stock C, Investment = $470,000, Beta = 1.30 Beta of the portfolio ? Expected rat of return ? %
Please do this in Excel using relevant formulas. Stock A has a beta of 0.5, and investors expect it to return 8%. Stock B has a beta of 1.5, and investors expect it to return 12%. Use the CAPM to find the market risk premium and the expected rate of return on the market.
An investor can design a risky portfolio based on two stocks, X and Y. Stock X has an expected return of 13% and a standard deviation of return of 15%. Stock Y has an expected return of 16% and a standard deviation of return of 19%. The correlation coefficient between the returns of X and Y is 0.15. The risk-free rate of return is 3%. How much does the investor need to invest in each stock to create the optimal portfolio? O Wx=40% and Wy=60% Wx=45% and Wy=55% Wx-50% and Wy=50% Wx-55% and Wy=45% Wx-60% and Wy=40%

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