Calculate the Sharpe ratio of the Markowitz tangency portfolio using the information provided below. The ris free rate is 3%. All the returns below are stated in excess of the risk free rate. 8% Stock A Expected Excess Returns Stock B Stock A Stock B Stock C 4% Variance Covariance Matrix of Excess Stock A Stock B 0.0089 0.0010 0.0018 5% 0.0010 0.0076 0.0047 Stock C Returns Stock C 0.0018 0.0047 0.0091
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- Portfolios A and B are both well-diversified. The risk-free rate is 8%. The return for the market is 10%. Portfolio A has an expected return of 15% and beta of 1.1. Portfolio B has an expected return of 9% and beta of 0.20. Portfolio A's variance is 9%, whilst Portfolio B's variance is 5.5%. Calculate for Portfolio A and Portfolio B the following: 1. Sharpe's Measure, 2. Treynor's Measure, 3. Jensen's Measure. Which is the better portfolio according to each measure?In the CML graph below, MVE refers to the market portfolio, and A, B, C are three stocks. Assume that all assets are priced correctly under the CAPM. What is the beta and systematic variance of stock B? Expected Return [E] 35% 30% 25% 20% 15% 10% 5% OE. 0% 0% Select one: O A. 1, 0.04 O B. 1, 0.16 O C. O D. 10% MVE CML (Capital Market Line) 20% A 30% Standard Deviation [SD(r)] 1.5, 0.09 1, 0.4 Cannot be determined from the information given C B 40% 50% 60%Calculate the correlation coefficient for the portfolio using the following information: Variance of Stock X 0.08 Variance of Stock Y 0.06 Covariance is 0.05 a. 0.1042 b. 0.7217 c. 0.00024 d. 0.0693
- You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: Portfolio Y Z Market Risk-free Rp 16.00% бр 32.00% 15.00 27.00 7.30 17.00 11.30 5.80 22.00 0 Bp 1.90 1.25 0.75 1.00 0 Assume that the tracking error of Portfolio X is 13.40 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. Information ratioYou 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.Assume 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 ratio of beta of A(A) to beta of B(B).
- The following table provides information relating to Omega Ltd, as well as the market portfolio. The risk-free rate of return is 3.4% . Asset Excess Return Variance Beta Omega 12% 0.021904 1.4 M 8.1% 0.010201 1 What is Omega's M2 value? a. 7.41% b. 11.59% c. 8.99% d. 9.27% What is Omega's Sharpe Ratio? a. 0.061 b. 0.811 c. 0.086 d. 0.581 please explain the calculation step by stepThe return, standard deviation, market risk premium and Beta (β) of A, B, C, D and the Market Portfolio and the risk-free interest rate are given in the table below. Find the performance of portfolios (excluding Sortino). portfolio return (rp) risk free interest rate (rf) std. deviation Beta market risk premium (rp- rf) A 18,00 11,00 6,00 1,24 7,00 B 12,00 11,00 2,00 0,87 1,00 C 9,00 11,00 0,50 - 0,73 - 2,00 D 15,00 11,00 3,00 0,46 4,00 Market 13,00 11,00 1,50 1 2,00The variance (risk) of an N-asset portfolio can be written as: o² = 2 + 2/11 -Cov where o² is the average variance of stocks in the portfolio and Cov is the average covariance between each pair of stocks in the portfolio. This result suggests that a well-diversified portfolio with a sufficiently large number of stocks will have O a zero total risk (variance) a zero covariance with other assets a zero diversifiable (nonsystematic) risk a zero market (systematic) risk
- 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 14.5% 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.)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 = -0.14You 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