You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: Rp 15.0% 14.0 8.3 11.2 4.8 Portfolio X Y Z Market Risk-free Portfolio X op Y Z Market 31% 26 16 21 0 What are the Sharpe ratio, Treynor ratio, and Jensen's alpha for each portfolio? (A negative value should be indicated by a minus sign. Leave no cells blank - be certain to enter "0" wherever required. Do not round intermediate calculations. Round your rati answers to 5 decimal places. Enter your alpha answers as a percent rounded to 2 decimal places.) вр 1.85 1.25 Sharpe Ratio 32.90323 35.38462 21.87500 .85 1.00 0 Treynor Ratio 5.51351 7.36000 4.11765 Jensen's Alpha -1.64% 1.20 % -1.94 % %

You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: Rp 15.0% 14.0 8.3 11.2 4.8 Portfolio X Y Z Market Risk-free Portfolio X op Y Z Market 31% 26 16 21 0 What are the Sharpe ratio, Treynor ratio, and Jensen's alpha for each portfolio? (A negative value should be indicated by a minus sign. Leave no cells blank - be certain to enter "0" wherever required. Do not round intermediate calculations. Round your rati answers to 5 decimal places. Enter your alpha answers as a percent rounded to 2 decimal places.) вр 1.85 1.25 Sharpe Ratio 32.90323 35.38462 21.87500 .85 1.00 0 Treynor Ratio 5.51351 7.36000 4.11765 Jensen's Alpha -1.64% 1.20 % -1.94 % %

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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A diagram of the CML and SML for the market M, risk-free asset ry, an inefficient portfolio P, and a complete portfolio C is shown below. The diagram is not to scale. E(r) E(13) CML & CALP E(12) P C E(r) M 01 02 03 P βρ SML M Вм The values of the labeled variables are E[1] = 3.0%, E[12] = 10.3%, E[3] = 16.7%, σ₁ = 17.9%, σ = 30.0%, 03 = 44.3%. What is the standard deviation of nonsystematic risk for the complete portfolio σc under the CAPM? O a. 0.1374 O b. 0.1180 O c. 0.0988 d. 0.1105 O e. 0.0791 O f. 0.0913 Og. 0.0858 O h. 0.1443
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.)
CASE 3 (6 marks): The following graph shows the efficient frontier for the portfolio containing x, y and z securities EFFICIENT FRONTIER 0.00525 D 0.00475 В A 0.00425 W 0,00375 0.00325 0.00275 0.006 0.0065 0.007 0.0075 0.008 0.0085 op 3 а) Which combination of the portfolio is most efficient or the closest to optimal, A, B, C or D and why? Additionally, explain the difference between each of these portfolios. 3 b) If the star represents portfolio E, is it better than B? Explain why or why not. 3 c) If the triangle represents portfolio F, is it better than C? D? Explain why or why not. ERP
(Portfolio VaR) Suppose there are two investments A and B. Either investment A or B has a 4.5% chance of a loss of $15 million, a 2% chance of a loss of $2 million, and a 93.5% change of a profit of $2 million. The outcomes of these two investments are independent of each other.
Which ones of the following statements about portfolio beta are correct? O 1. If portfolio beta is between 0 and 1, then the portfolio expected return is between risk-free rate and the market expected return. O 2. If the return of an asset has zero correlation with the market portfolio returns, the beta of this asset must be zero. O 3. A portfolio that has the same portfolio weights as the market portfolio should have a beta of 1. O 4. Diversification is not a way to reduce portfolio beta. O 5. If two portfolios have the same portfolio weights, but different dollar values, their betas are the same.
Vijay
b. As an equity portfolio manager, you may use certain risk-adjusted performance measures. Describe and discuss the following measures of performance evaluation! Treynor Index, William Sharpe, Michael Jensen Using the following table evaluate which is better than other using three different measure of performance evaluation. Asset X E(R)% 12 beta Stdv 1.25 16 Y 11 1.0 12 Risk-free 3 0 0 Market index 12 1 12
A single mispriced asset has an alpha a = 3.0%, a beta ẞ = 1, and unsystematic risk σ² = 9%. The market risk premium is 5.0% and the market's standard deviation is 0.1. What is the information ratio of the mispriced asset? In constructing an optimal allocation between this mispriced asset and the market portfolio, what proportion of your investment would you place in the mispriced asset? Oa. 0.1; 6.67% O b. 0.33; 6.67% O c. 0.33; 6.90% O d. 0.1; 66.67% O e. 0.1; 6.90%
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
Vijay
hf.3
Nikul

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