AIX Investment Group considers two alternative portfolios. The risk and return characteristics of those portfolios are shown in Table 1. Table 1. Risk & Return Characteristics Expected Return (%) Beta Standard deviation (%) Portfolio I 10.1 1.1 13.9 Portfolio II 15 2.8 16.9 Risk-free rate is 3.6 % If two alternative portfolios are not well-diversified, the expected risk-adjusted performance for Portfolio I is

AIX Investment Group considers two alternative portfolios. The risk and return characteristics of those portfolios are shown in Table 1. Table 1. Risk & Return Characteristics Expected Return (%) Beta Standard deviation (%) Portfolio I 10.1 1.1 13.9 Portfolio II 15 2.8 16.9 Risk-free rate is 3.6 % If two alternative portfolios are not well-diversified, the expected risk-adjusted performance for Portfolio I is

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 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
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: Op 1.45 1.20 0.75 1.00 Portfolio: X Y Z Market Risk-free Rp 11.00% 10.00 8.10 10.40 5.20 Information ratio Op 33.00% 28.00 18.00 23.00 0 Assume that the tracking error of Portfolio X is 9.10 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. 02148 0
The following portfolios are being considered for investment. During the period under consideration, RFR = 0.07.Portfolio Return Beta σiA 0.15 1.0 0.05B 0.20 1.5 0.10C 0.10 0.6 0.03D 0.17 1.1 0.06Market 0.13 1.0 0.04 a. Compute the Sharpe measure for each portfolio and the market portfolio. b. Compute the Treynor measure for each portfolio and the market portfolio. c. Rank the portfolios using each measure, explaining the cause for any differences you find in the rankings.
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.
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
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
Use the following table to answer the questions a-c below. Standard deviation of risky | return Risky Expected return on risky portfolio Risk-free Sharpe-ratio Portfolio portfolio 1 12 3.5 4.5 2 13 3.75 4.5 3 14 4 4.5 4 15 4.25 4.5 a. Calculate the Sharpe ratio for each portfolio b. Identify the optimal portfolio from the above 4
You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: Portfolio Y Z Market Risk-free Rp 13.5% бр 35.00% 12.5 30.00 7.1 20.00 10.6 4.4 25.00 0 Вр 1.55 1.20 0.80 1.00 0 Assume that the correlation of returns on Portfolio Y to returns on the market is 0.70. 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. × Answer is complete but not entirely correct. R-squared 0.9785
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 14.0% 13.0 .8.5 12.0 7.2 Ор 39.00% 34.00 24.00 29.00 0 Bp 1.50 1.15 0.90 1.00 0 Assume that the correlation of returns on Portfolio Y to returns on the market is 0.90. 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
The following portfolios are being considered for investment. During the period under consideration, RFR =0.07 Porfolio Return Beta P 0.15 1.00 0.05 Q 0.20 1.50 0.1 R 0.10 0.60 0.03 S 0.17 1.10 0.06 Market 0.13 1.00 0.04 Compute the Sharpe measure for each portfolio and the market portfolio Compute the Treynor measure for each portfolio and the market portfolio Rank the portfolios using each measure explaining the cause for any differences you find in the rankings.
We consider a market with N risky assets. The following table shows the information of some portfolios constructed by these risky assets. Expected return Portfolio 1 (W₁) Portfolio 2 (W₂) Portfolio 3 (W3) Portfolio 4 (W4) 0.0321 0.0607 0.1263 0.1322 Portfolio 1 Portfolio 2 Portfolio 3 Portfolio 4 Standard deviation of the return The correlation coefficient of returns of these portfolios are given in the following table: Portfolio 1 Portfolio 2 Portfolio 3 Portfolio 4 0.731672 1 0.731672 1 0.62553 0.002018 -0.02533 0.662908 0.093207 0.088882 0.217899 0.212048 0.002018 0.62553 1 0.915149 You are also given that two of these portfolios are efficient. -0.02533 0.662908 0.915149 1 Question (a) Using the above information, determine the global minimum variance portfolio. Express your answer in terms of W₁, W2, W3 and W₁.

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