Amarket consists of three stocks whose expected returns are rı, r2, r3 respectively. The risks of the stocks are o1, 02, 03 respectively. The correlation of the returns of Stock 1 with the returns of Stock 2 and Stock 3 are p12 and P.3 respectively The returns of Stock 2 and Stock 3 are independent. Let P be a portfolio of the three stocks with weights (w, W2, W3) respectively. Let op denote the risk of such a portfolio Given the information above, write down the expression for of/2
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- An analyst has modeled the stock of a company using the Fama-French three-factor model. The market return is 10%, the return on the SMB portfolio (rSMB) is 3.2%, and the return on the HML portfolio (rHML) is 4.8%. If ai = 0, bi = 1.2, ci = 20.4, and di = 1.3, what is the stock’s predicted return?The following information describes the expected return and risk relationship for the stocks of two of WAH’s competitors. Stock X 12.0% 20% 1.3 Stock Y 9.0 15 0.7 Market Index 10.0 12 1.0 Risk-free rate 5.0 Using only the data shown in the preceding table: Draw and label a graph showing the security market line, and position Stocks X and Y relative to it. Compute the alphas both for Stock X and for Stock Y. Show your work. Assume that the risk-free rate increases to 7 percent, with the other data in the preceding matrix remaining unchanged. Select the stock providing the higher expected risk adjusted return and justify your selection. Show your calculations.Portfolio P has equal amounts invested in each of the three stocks, A, B, and C. Stock A has a beta of 0.8, Stock B has a beta of 1.0, and Stock C has a beta of 1.2. Each of the stocks has a standard deviation of 25%. The returns on the three stocks are independent of one another (i.e., the correlation coefficients all equal zero). Assume that there is an increase in the market risk premium, but the risk-free rate remains unchanged. Which of the following statements is CORRECT? a. The required return on Stock A will increase by less than the increase in the market risk premium, while the required return on Stock C will increase by more than the increase in the market risk premium. b. The required return on the average stock will remain unchanged, but the returns of riskier stocks (such as Stock C) will increase while the returns of safer stocks (such as Stock A) will decrease. c. The required returns on all three stocks will increase by the amount of the increase in the market…
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- Suppose that the index model for stocks A and B is estimated from excess returns with the following results:RA = 3% + .7RM + eARB = −2% + 1.2RM + eBσM = 20%; R-squareA = .20; R-squareB = .12What is the covariance between each stock and the market index?Suppose that the index model for stocks A and B is estimated from excess returns with the following results:RA = 3% + .7RM + eARB = −2% + 1.2RM + eBσM = 20%; R-squareA = .20; R-squareB = .12What is the standard deviation of each stock?two stocks, A and B, are perfectly correlated. Stock A has an expected return of 0.15 and a volatility of 0.25. stock B has an expected return of 0.20 and a volatility of 0.30. what is the expected return volatility of the portfolio consisting of 45% of stock A and 55% of stock B?
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