Consider the Treynor-Black model. The alpha of an active portfolio is 3%. The expected return on the market index is 10%. The variance of the return on the market portfolio is 4%. The nonsystematic variance of the active portfolio is 2%. The risk-free rate of return is 3%. The beta of the active portfolio is 1.15. The optimal proportion to invest in the active portfolio is Select one: OA. 48.7%. OB. 100.0%. C. 98.4%. D. 51.3%.

Consider the Treynor-Black model. The alpha of an active portfolio is 3%. The expected return on the market index is 10%. The variance of the return on the market portfolio is 4%. The nonsystematic variance of the active portfolio is 2%. The risk-free rate of return is 3%. The beta of the active portfolio is 1.15. The optimal proportion to invest in the active portfolio is Select one: OA. 48.7%. OB. 100.0%. C. 98.4%. D. 51.3%.

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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Suppose the risk free rate is 5% and the market portfolio has an expected return of 10%. Portfolio Z has a correlation coefficient with the market of 0.1 and a variance of 0.16. The market portfolio has a variance of 0.09. According to the CAPM, what is the beta of portfolio Z?
You are constructing a portfolio of two assets, Asset A and Asset B. The expected returns of the assets are 12 percent and 16 percent. respectively. The standard deviations of the assets are 29 percent and 37 percent, respectively. The correlation between the two assets is 41 and the risk-free rate is 3.4 percent. What is the optimal Sharpe ratio in a portfolio of the two assets? What is the smallest expected loss for this portfolio over the coming year with a probability of 2.5 percent? (A negative value should be indicated by a minus sign. Do not round intermediate calculations. Round your Sharpe ratio answer to 4 decimal places and the z-score value to 3 decimal places when calculating your answer. Enter your smallest expected loss as a percent rounded to 2 decimal places.) Sharpe ratio Smallest expected loss %
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There are two risky assets and a riskfree asset. The riskfree rate is 0.03. The first risky asset has expected rate of return 0.18 and standard deviation 0.3; the second risky asset 0.09 and 0.2. Their correlation is 0.1. A portfolio on the best feasible CAL has an expected return of 0.12. Then this portfolio's portfolio weight on the first risky asset is 0%. (Enter a percentage number and keep 3 decimal places).
Asset W has an expected return of 13.4 percent and a beta of 1.6. If the risk-free rate is 5.0 percent, complete the following table for portfolios of Asset W and a risk-free asset. (Do not round intermediate calculations and enter your expected return answers as a percent rounded to 2 decimal places, e.g., 32.16. Round your beta answers to 3 decimal places, e.g., 32.161.) Asset W has an expected return of 13.4 percent and a beta of 1.6. If the risk-free rate is 5.0 percent, complete the following table for portfolios of Asset W and a risk-free asset. (Do not round intermediate calculations and enter your expected return answers as a percent rounded to 2 decimal places, e.g., 32.16. Round your beta answers to 3 decimal places, e.g., 32.161.)
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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
Calculate the optimal risky portfolio for the following cases when short-sales are allowed. Compute its expected return and the standard deviation of its returns. 1. Two risky assets: Rp = 3, R' = [6, 9], and 4 5 5 20 2. Three risky assets: Rp = 4, R' = [5,9, 8], and [10 0 0 E=0 40 0 0 20 3. Three risky assets: Rp = 5, R' = [12, 9, 8], and 40 10 -5] E= 10 20 0 5 0 30 4. Five risky assets: Rp = 2, R' = [5, 3, 18, 9, 2], and %3D 2 16 0. -12 5 -12 20 16 10 7 14 27 14 9. -13 8. 7 27 13
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 __________.
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Consider a risky portfolio, A, with an expected rate of return of 0.16 and a standard deviation of 0.25, that lies on a given indifference curve. Which one of the following portfolios is not likely to lie on the same indifference curve for a risk-averse investor with a mean- variance utility function? a. Expected return = 0.20; Standard deviation = 0.15 b. Expected return = 0.10; Standard deviation = 0.20 Expected return= 0.15; Standard deviation = 0.20 Expected return = 0.12; Standard deviation = 0.10 Expected return = 0.10; Standard deviation = 0.10 C. d. e.

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