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 Elr₂l-ri_). The portfolio (i.e. the portfolio with the highest Sharpe ratio = Jp 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 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 Elr₂l-ri_). The portfolio (i.e. the portfolio with the highest Sharpe ratio = Jp proportion of the optimal risky portfolio that should be invested in stock A is 65.14% 82.25% 71.15% 74.36% 68.20%

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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You own a portfolio equally invested in a risk-free asset and two stocks. One of has risky as has a beta of 1.6, and the total portfolios is equally as risky as the market. What's the beta of the second stock?
You are considering investing $1,000 in a T-bill that pays 0.05 and a risky portfolio, P, constructed with two risky securities, X and Y. The weights of X and Y in P are 0.60 and 0.40, respectively. X has an expected rate of return of 0.14 and variance of 0.01, and Y has an expected rate of return of 0.10 and a variance of 0.0081.What would be the dollar values of your positions in X and Y, respectively, if you decide to hold 40% of your money in the risky portfolio and 60% in T-bills? A. $100; $240 B. $360; $240 C. $240; $160 D. Cannot be determined. E. $240; $360
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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?
Consider the single factor APT. Portfolio A has a beta of 1.5 and an expected return of 20 %. Portfolio B has a beta of 0.7 and an expected return of 16%. The risk - free rate of return is 8%. If you wanted to take advantage of an arbitrage opportunity, you should take a short position in portfolio and a long position in 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 16.0%. Stock B has an expected return of 11% and a standard deviation of return of 4%. The correlation coefficient between the returns of A and B is 0.50. The risk-free rate of return is 7%. The proportion of the optimal risky portfolio that should be invested in stock A is __________.
An investor can design a risky portfolio based on two stocks, A and B. The standard deviation of return on stock A is 25% while the standard deviation on stock B is 15%. The correlation coefficient between the return on A and B is 0.40. What is the standard deviation of return on the minimum variance portfolio? Do not enter % in the answer box. For example, if your answer is 0.12345 or 12.345% then enter as 12.35 in the answer box.
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10) Given an optimal risky portfolio with expected return of 15%, standard deviation of 26%, and a risk free rate of 5%, what is the slope of the best feasible CAL? A) 0.64 B) 0.27 C) 0.08 D) 0.38 E) 0.36 Provide explanation for the correct answer.

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