You have estimated the single index model (SIM) fund B and found that its alpha and beta are 0.035 and 1.1 respectively. The standard deviation of Fund B's excess returns is 30% and the market portfolio excess returns have a standard deviation of 20%. What's the information ratio of Fund B?
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- Consider a single-index model economy. The index portfolio M has E(RM ) = 6%, σM = 18%.An individual asset i has an estimate of βi = 1.1 and σ2ei = 0.0225 using the single index modelRi = αi + βiRM + ei. The forecast of asset i’s return is E(ri) = 12%. rf = 4%. a) According to asset i’s return forecast, calculate αi. (b) Calculate the optimal weight of combining asset i and the index portfolio M . (c) Calculate the Sharpe ratio of the index portfolio M and the portfolio optimally combiningasset i and the index portfolio M .Assume the correlation coefficient between Baker Fund and the market index is .70. What percentage of Baker Fund’s total risk is specific (i.e., nonsystematic)?What is portfolio A's CAPM beta based on your analysis? Round off your answer to three digits after the decimal points. State your answer as a percentage point as 1.234. Compute the Treynor measure for portfolio B. Round off your answer to three digits after the decimal point. State your answer as 1.234
- Consider the two (excess return) index model regression results for well-diversified portfolios A and B: RAt = 0.02 + 1.0 × Rmt + eAt RBt = 0.03 + 0.85 × Rmt + eBt In addition, you know that the standard deviation of the index is 20%. Calculate the covariance between the excess returns of portfolio A and B. Briefly discuss your results.You are given the following data: Risk-free rate is 4.1 percent, market return is 6.5 per cent, and market volatility is 12.2 per cent. The return of a portfolio is 11 per cent, its volatility is 15.2214 per cent, and its beta is 0.7. Calculate the measure called the Information ratio. A. 0.193 B. 0.414 C. 0.548 D. 4.500Consider a portfolio formed of two risky assets whose returns have a correlation of 0.5. What can be said of the standard deviation of the global minimum-variance portfolio formed with these two risky assets? It's greater than zero. It s equal to zero. O It s between - 1 and +1. O It's the weighted average of the standard deviations of the two risky assets.
- 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 have estimated the single index model (SIM) for Fund B and found that its alpha and beta are 4% and 1.2 respectively. The standard deviation of Fund B's excess returns is 30% and the market portfolio excess returns have a standard deviation of 20%. What's the idiosyncratic (unsystematic) volatility of Fund B's excess returns? Select one: O A. None of the choices are within 0.01 of the correct answer. OB. 0.18 OC. 0.21 OD. 0.155 OE. 0.23When working with the CAPM, which of the following factors can be determined with the most precision? a. The beta coefficient of "the market," which is the same as the beta of an average stock. b. The beta coefficient, bi, of a relatively safe stock. c. The market risk premium (RPM). d. The most appropriate risk-free rate, rRF. e. The expected rate of return on the market, rM.
- Consider the expected return and standard deviation of the following two assets: Asset 1: E[r1]=0.1 and σ1=0.2 Asset 2: E[r2]=0.3 and σ2=0.4 (a) Draw (e.g. with Excel) the set of achievable portfolios in mean-standard deviation space for the cases: (i) ρ12= -1, (ii) ρ12=0. (b) Suppose ρ12=-1. Which portfolio has the minimal variance? What is the variance and expected return of that portfolio? (c) Derive the formula for the variance of a portfolio with four assets.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 ratioof betaof A(A) tobeta of B(B). Thank you for your help.Following is information for the required returns and standard deviations of returns for A, B, and C. The correlation coefficients for each pair also are shown below in a matrix. Which is the portfolio you will recommend AB, AC, or BC, and why? A B C Required Rate of return 7% 10% 20% Standard Deviation 33% 54% 90% Coefficient A,B 0.16 Coefficient A,C 0.19 Coefficient B,C 0.17
