You are given the following Information concerning three portfollos, the market portfolio, and the risk-free asset Portfolio Rp Op X 13.0% Y 12.0 Z Market Risk-free 7.2 11.0 5.6 24 ཝིཙྪཱཙྪལ༤ 39% 1.75 1.30 .85 1.00 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 ratio answers to 5 decimal places. Enter your alpha answers as a percent rounded to 2 decimal places.) Portfolio Sharpe Ratio Treynor Ratio Jensen's Alpha X % Y % Z % Market %

You are given the following Information concerning three portfollos, the market portfolio, and the risk-free asset Portfolio Rp Op X 13.0% Y 12.0 Z Market Risk-free 7.2 11.0 5.6 24 ཝིཙྪཱཙྪལ༤ 39% 1.75 1.30 .85 1.00 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 ratio answers to 5 decimal places. Enter your alpha answers as a percent rounded to 2 decimal places.) Portfolio Sharpe Ratio Treynor Ratio Jensen's Alpha X % Y % Z % Market %

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 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 op Portfolio X Y Z Market 31% 26 16 21 0 вр A 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.) Sharpe Ratio 32.90323 35.38462 21.87500 1.85 1.25 .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: Portfolio Rp X 15.0% Y 14.0 Z 9.0 Market 10.3 Risk-free 4.2 op 32% 27 17 22 0 Portfolio X Y Z Market 6p 1.40 1.10 0.75 1.00 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. Leave your ratio answers as a decimal rounded to 5 places (e.g., 0.23546). Enter your alpha answers as a percent rounded to 2 decimal places (e.g., 0.22%).) Sharpe Ratio Treynor Ratio Jensen's Alpha % % % %
The optimal proportion of the risky asset in the complete portfolio is given by the equation below y*= E(Rp− Rf) A0² For each of the variables on the right side of the equation, discuss the impact of the variable's effect on y* and why the nature of the relationship makes sense intuitively. Assume the investor is risk averse
You are given the following Information concerning three portfolios, the market portfollo, and the risk-free asset: Portfolio X Y Z Market Risk-free Rp 14.10% 13.10 8.50 12.00 7.20 Information ratio op 39.00% 34.00 1.15 0.90 1.00 0 Assume that the tracking error of Portfolio X is 8.90 percent. What is the information ratio for Portfolio X? Note: A negative value should be indicated by a minus sign. Do not round Intermediate calculations. Round your answer to 4 decimal places. 6p 1.50 24.00 29.00 0
You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: Portfolio Rp op Bp X 14.0% 31% 1.35 Y 13.0 26 1.10 Z 7.0 14 .75 Market 10.2 19 1.00 Risk-free 6.0 0 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 ratio answers to 5 decimal places. Enter your alpha answers as a percent rounded to 2 decimal places.) Sharpe Ratio Treynor Ratio Jensen's Alpha Portfolio X % Y % Z % Market %
You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: Rp 15.5% op 36% вр 1.35 1.15 14.5 7.4 0.60 11.7 1.00 7.0 Portfolio X Y Z Market Risk-free What are the Sharpe ratio, Treynor ratio, and Jensen's alpha for each portfolio? Note: 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 ratio answers to 5 decimal places. Enter your alpha answers as a percent rounded to 2 decimal places. Portfolio X Y Z Market 31 21 26 0 X Answer is complete but not entirely correct. Jensen's Alpha 2.16 2.10 -2.42 0 Sharpe Ratio 23.61111 24.19355 X 1.90476 x 18.07692 x Treynor Ratio 11.48148 x 6.52174 X 0.66667 4.70000 % % % %
You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: 8p 1.70 1.30 0.85 1.00 Portfolio X Y Z Market Risk-free Rp 11.5% 10.5 7.2 10.9 4.6 R-squared op 38.00% 33.00 23.00 28.00 0 Assume that the correlation of returns on Portfolio Y to returns on the market is 0.76. What percentage of Portfolio Y's return is driven by the market? Note: Enter your answer as a decimal not a percentage. Round your answer to 4 decimal places.
Consider the following information for four portfolios, the market, and the risk-free rate (RFR): Portfolio Return Beta SD A1 0.15 1.25 0.182 A2 0.1 0.9 0.223 A3 0.12 1.1 0.138 A4 0.08 0.8 0.125 Market 0.11 1 0.2 RFR 0.03 0 0 Refer to Exhibit 18.6. Calculate the Jensen alpha Measure for each portfolio. a. A1 = 0.014, A2 = -0.002, A3 = 0.002, A4 = -0.02 b. A1 = 0.002, A2 = -0.02, A3 = 0.002, A4 = -0.014 c. A1 = 0.02, A2 = -0.002, A3 = 0.002, A4 = -0.014 d. A1 = 0.03, A2 = -0.002, A3 = 0.02, A4 = -0.14 e. A1 = 0.02, A2 = -0.002, A3 = 0.02, A4 = -0.14
You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: Portfolio X Y Z Market Risk-free Rp 11.0% ор 33.00% 10.0 28.00 8.1 10.4 5.2 18.00 23.00 Ө вр 1.45 1.20 0.75 1.00 Ө Assume that the correlation of returns on Portfolio Y to returns on the market is 0.66. What percentage of Portfolio Y's return is driven by the market? Note: Enter your answer as a decimal not a percentage. Round your answer to 4 decimal places. R-squared
4. Suppose that there are 2 assets with ri 012 = 0.005. = 0.20, 01 = = 0.40, 2 = 0.10, 02 = 0.25 and (a) If ro = 0.02, what are the market portfolio return and variance? What are the corre- sponding weights (i.e. how much to invest in asset 1, asset 2, and the risk-free asset to get the market portfolio)? Answer. (b) If ro 0.05, what are the market portfolio return and variance? What are the corre- sponding weights? Answer.
You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: 8p 1.25 Portfolio X Y Z Market Risk-free Rp 12% Information ratio 11 8 10 4 S24499 op 29% 14 19 1.10 0.75 1.00 0 4 Assume that the tracking error of Portfolio X is 9.2 percent. What is the information ratio for Portfolio X? Note: Do not round intermediate calculations. Round your answer to 4 decimal places.
The following figures show the optimal portfolio choice for two investors with different levels of risk-aversion graphically. Which statement is correct? E[R] 0.3 0.25 0.2 0.15 0.1 0.05 0 0 0.05 0.1 0.15 Figure 1 0.2 0.25 0.3 0.35 o(R) 0.4 0.45 [H]Z 0.3 0.25 0.2 0.15 0.1 0.05 0 0 0.05 0.1 Figure (2) shows an investor that borrows in risk-free rate and invests in the risky asset. Figure (1) shows an investor with a conservative investment behavior. In the optimal point of both figures, the highest indifference curve is tangent to the efficient frontier. In Figure (1), more aggressive investment decision led to a higher Sharpe ratio. 0.15 Figure 2 0.2 0.25 o (R) 0.3 0.35 0.4 0.45

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