Assume that both portfolios A and B are well diversified, that E(rA) = 16%, and E(rB) = 14%. If the economy has only one factor, and βA = 1.0, whereas βB = 0.8, what must be the risk-free rate? (Do not round intermediate calculations.)
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Assume that both portfolios A and B are well diversified, that E(rA) = 16%, and E(rB) = 14%. If the economy has only one factor, and βA = 1.0, whereas βB = 0.8, what must be the risk-free rate? (Do not round intermediate calculations.)
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- Security A has an expected rate of return of 6%, a standard deviation of returns of 30%, a correlation coefficient with the market of −0.25, and a beta coefficient of −0.5. Security B has an expected return of 11%, a standard deviation of returns of 10%, a correlation with the market of 0.75, and a beta coefficient of 0.5. Which security is more risky? Why?Security A has an expected return of 7%, a standard deviation of returns of 35%, a correlation coefficient with the market of −0.3, and a beta coefficient of −1.5. Security B has an expected return of 12%, a standard deviation of returns of 10%, a correlation with the market of 0.7, and a beta coefficient of 1.0. Which security is riskier? Why?APT An analyst has modeled the stock of Crisp Trucking using a two-factor APT model. The risk-free rate is 6%, the expected return on the first factor (r1) is 12%, and the expected return on the second factor (r2) is 8%. If bi1 = 0.7 and bi2 = 0.9, what is Crisp’s required return?
- Assume that both portfolios A and B are well diversified, that E(rA) = 21%, and E(rB) = 16%. If the economy has only one factor, and βA = 1.4, whereas βB = 1.0, what must be the risk-free rate? (Do not round intermediate calculations. Round your answer to two decimal places.)Assume that both portfolios A and B are well diversified, that E(rA) = 20% and E(rB) = 15%. If the economy has only one factor, and BetaA = 1.3, whereas BetaB = 0.8, what must be the risk-free rate (write as percentage, rounded to two decimal places)?Assume both portfolios A and B are well diversified, that E(rA) = 12.6% and E(rB) = 13.6%. If the economy has only one factor, and βA = 1 while βB = 1.2, what must be the risk-free rate? (Do not round intermediate calculations. Round your answer to 1 decimal place.)
- Assume that both portfolios A and B are well diversified, that E(rA) = 12%, and E(rB) = 9%. If the economy has only one factor, and βA = 1.2, whereas βB = .8, what must be the risk-free rate?Consider the one-factor APT. Assume that two portfolios, A and B, are well diversified. The betas of portfolios A and B are 1.0 and 1.5, respectively. The expected returns on portfolios A and B are 19% and 24%, respectively. Assuming no arbitrage opportunities exist, the risk-free rate of return must be 14% 9% 16.5% 4%Consider an economy where Capital Asset Pricing Model holds. In this economy, stocks A and B have the following characteristics: Stock A has and expected return of 22% and a beta of 2. Stock B has an expected return of 15% and a beta of 0.8. The standard deviation of the market portfolio’s return is 18%. Q: Assuming that stocks A and B are correctly priced according to the CAPM, compute the risk-free rate and the market risk premium.
- Suppose that there are two independent economic factors, F, and F2. The risk-free rate is 6%, and all stocks have independent firm-specific components with a standard deviation of 46%. Portfolios A and 8 are both well-diversified with the following properties: Expected Portfolio Beta on F1 Beta on F2 Es ReturnA 2.1 2.4 35%B 3.0 -0.24 30% What is the expected return-beta relationship in this economy? Calculate the risk-free rate, rf, and the factor risk premiums, RP1 and RP2, to complete the equation below. (Do not round intermediate calculations. Round your answers to two decimal places.) Blrp) = r¢ + (Ber * RP1) + (Bp2 * RP2) Please see attached image for more details.Suppose that there are two independent economic factors, F1 and F2, the risk-free rate is 6%, and all stocks have independent firm-specific components with a standard deviation of 30%. The following are well-diversified portfolios: Portfolio Beta on F1 Beta on F2 Expected Return A 1.1 1.5 15% B 0.9 0.5 13% What is the expected return-beta relationship in this economy?Suppose that the S&P 500, with a beta of 1.0, has an expected return of 13% and T-bills provide a risk-free return of 4%. What would be the expected return and beta of portfolios constructed from these two assets with weights in the S&P 500 of (i) 0; (ii) 0.25; (iii) 0.50; (iv) 0.75; (v) 1.0? How does expected return vary with beta?