5. The universe of available securities includes two risky stock funds, A and B, and T-bills. The data for the universe are as follows: A B T-bills Expected Return 10% 30% 5 Standard Deviation 20% 60% 0 The correlation coefficient between funds A and B is -0.2. a. Compute the covariance between the funds. b. Find the optimal risky portfolio, P, and its expected return and standard deviation. c. Find the slope of the CAL supported by T-bills and portfolio P. d. How much will an investor with A = 5 invest in funds A and B and in T-bills?
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- 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-squaredYou are given the following information concerning three portfolios, the market portfolio, and the risk- free asset: Portfolio X Y Z Market Risk-free Rp 14.5% R-squared 13.5 9.1 10.7 5.4 op 36% 31 21 26 0 6p 1.60 1.30 .80 1.00 0 Assume that the correlation of returns on Portfolio Y to returns on the market is 72. What percentage of Portfolio Y's return is driven by the market? (Enter your answer as a decimal not a percentage. Round your answer to 4 decimal places.)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.
- 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-squaredYou 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 0.9785Assume that using the Security Market Line(SML) the required rate of return(RA)on stock A is found to be halfof the required return (RB) on stock B. The risk-free rate (Rf) is one-fourthof the required return on A. Return on market portfolio is denoted by RM. Find the ratioof betaof A(A) tobeta of B(B). Thank you for your help.
- 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 = -0.14c) Assume that using the Security Market Line (SML) the required rate of return (Ra) on stock A is found to be half of the required return (Rs) on stock B. The risk-free rate (R:) is one-fourth of the required return on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A (Ba) to beta of B (B).Assume that using the Security Market Line(SML) the required rate of return(RA)on stock A is found to be half of the required return (RB) on stock B. The risk-free rate (Rf) is one-fourthof the required return on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A(A) to beta of B(B).
- 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 0An investiment portfolio consists of two securities, X and Y. The weight of X is 30%. Asset X's expected return is 15% and the standard deviation is 28%. Asset Y's expected return is 23% and the standard deviation is 33%. Assume the correlation coefficient between X and Y is 0.37. A. Calcualte the expected return of the portfolio. B. Calculate the standard deviation of the portfolio return. C. Suppose now the investor decides to add some risk free assets into this portfolio. The new weights of X, Y and risk free assets are 0.21, 0.49 and 0.30. What is the standard deviation of the new portfolio?Assume that using the Security Market Line (SML) the required rate of return (RA) on stock A is found to be half of the required return (RB) on stock B. The risk-free rate (Rf) is one-fourth of the required return on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A (bA) to beta of B (bB). (please show all workings)