Consider the CAPM. The risk-free rate is 1% and the expected return on the market is 13%. What is the expected return on a portfolio with a beta of 0.5?
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- According to CAPM, the expected rate of return of a portfolio with a beta of 1.0 and an alpha of 0 is:a. Between rM and rf .b. The risk-free rate, rf .c. β(rM − rf).d. The expected return on the market, rM.Assume the APT equation for portfolios A and B with the following system of equations: E[rA] = λ0 + (λ1)3 + (λ2)0.2 = 11.0 E[rB] = λ0 + (λ1)2 + (λ2)1 = 13.0 Assume the following: . The risk free rate is λ0 = Rf = 5 . The expected return on the market portfolio is RM = 10 . Expected returns are consistent with the CAPM. . (hint: note that λ1 = E[RA] − Rf and λ2 = E[RB] − Rf ). Answer the following: (a) What are λ1 and λ2? (b) What is the CAPM β associated with the pure portfolio associated with factor 1? (c) What is the CAPM β associated with the pure portfolio associated with factor 2?Asset X has an expected return of 10% and volatility of 10% . If its Sharpe Ratio is 0.60, what is the risk-free rate?
- An optimal risk portfolio’s expected return is 14%, standard deviation is 22%. If risk-free rate is 6%, then what would be slope of the best CAL? A) 0.64B) 0.14C) 0.08D) 0.33E) 0.36Suppose that the risk-free rate r, = 0.03, the expected market return uM = 0.11, and the market volatility oM = 0.16. Stock A has beta = 1.2 and diversifiable risk o̟ = 0.08. Stock B has beta = 0.8 and 0, = 0.03. Stock C has beta = 1.5 and o̟ = 0.1. Consider a portfolio P which is 45% in Stock A, 25% in Stock B, and 30% in Stock C. (a) Find the value of beta for this portfolio. (b) Assuming CAPM, find the portfolio's expected return µp. (c) Find the standard deviation of the portfolio's systematic (or mar- ket) risk. (d) Find the standard deviation o, of the diversifiable risk of P. (You may assume that the diversifiable risks of A,B, and C are uncorrelated.)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
- Suppose the beta of PetrolCom is 0.75, the risk - free rate is 3 percent, and the market risk premium is II percent. Calculate the expected rate of return on PertrolCom.Use the following CAPM equation for a portfolio to answer the questions that follow:E(RP) = RF + βP (RM – RF) = 1 + 0.8 (5 – 1) = 4.2% a) Is the portfolio defensive or aggressive. Why? b) If the actual portfolio return is 6%, what is the portfolio’s alpha?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
- The risk-free rate is 5.6%, the market risk premium is 8.5%, and the stock’s beta is 2.27. What is the required rate of return on the stock, E(Ri)? Use the CAPM equation.Suppose risk-free rate of return = 2%, market return = 7%, and Stock B’s return = 11%. a. Calculate Stock B’s beta. b. If Stock B’s beta were 0.80, what would be its new rate of return?Suppose the risk free return is 6%. The beta of a managed portfolio is 1.5, the alpha is 3%, and the average return is 18%. Based on Jensen's measure of portfolio performance, you would calculate the return on the market portfolio as ___ % ?