Stocks A and B are quite similar: Each has an expected return of 12%, a beta of 1.2, and a standard deviation of 25%. The returns on the two stocks have a correlation of 0.6. Portfolio P has 50% in Stock A and 50% in Stock B. Which of the following statements is CORRECT? a. Portfolio P has a standard deviation that is greater than 25%. b. Portfolio P has an expected return that is less than 12%. c. Portfolio P has a standard deviation that is less than 25%. d. Portfolio P has a beta that is less than 1.2. e. Portfolio P has a beta that is greater than 1.2.
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- Stock A has an expected return of 18% and a standard deviation of 38%. Stock B has an expected return of 14% and a standard deviation of 21%. The correlation coefficient between two stocks is negative 0.4. The risk-free rate is 8%. (Round your flnal answers to 2 decimal places (e.g. 0.963 would be entered as 0.96)). a) Calculate the Sharpe ratio for the two stocks. Stock A Stock B b) Assume that you can invest in both of these assets in portfolio C. How much should you invest in stock A and stock B to obtain an expected return of 17%? (Enter as declimals) Welght A Welght B c) Calculate the Sharpe ratio of portfolio C. d) Based on all the statistics you calculated so far, would you rather invest in portfolio C, or in the individual stocks A and B? (Enter A, B. or C)Stock X has a beta of 0.7 and Stock Y has a beta of 1.3. The standard deviation of each stock's returns is 20%. The stocks' returns are independent of each other, i.e., the correlation coefficient, r, between them is zero. Portfolio P consists of 50% X and 50% Y. Given this information, which of the following statements is CORRECT? 1) Portfolio P has a standard deviation of 20%. 2) The required return on Portfolio P is equal to the market risk premium (RM - TRF). 3) Portfolio P has a beta of 0.7. 4) Portfolio P has a beta of 1.0 and a required return that is equal to the riskless rate, TRF. Portfolio P has the same required return as the market (rm). 5)A portfolio is comprised of equal weights of two stocks labeled Stock X and Stock Y. The covariance between Stock X and Stock Y is 0.10. The standard deviation of Stock X is 0.50, and the standard deviation of Stock Y is 0.50. Which of the following comes closest to the correlation coefficient between Stock X and Stock Y? Select one: a. 0.60 b. 0.50 c. 1.00 d. 0.00 e. 0.40
- Stock A has expected return of 15% and standard deviation (s.d.) 20%. Stock B has expected return 20% and s.d. 15%. The two stocks have a correlation coefficient of 0.5. a. Note that Stock A has greater risk (s.d.) that Stock B, but a lower expected return. Explain how is this possible in a world where returns on assets are as predicted by the CAPM. The beta of stock A is 1 and the beta of stock B is 1.5. What is the risk premium on the market portfolio, if the CAPM holds ?Stock A and Stock B each have an expected return of 12 percent, a beta of 1.2, and a standard deviation of 25 percent. The returns on the two stocks have a correlation of 0.6. Portfolio P has half of its money invested in Stock A and half in Stock B. Which of the following statements is most correct? * a. Portfolio P has an expected return of 12 percent. b. Portfolio P has a standard deviation of 25 percent. c. Portfolio P has a beta of 1.2. d. Statements a and c are correct. e. All of the statements above are correct.Stocks A, B, and C have the same expected return and standard deviation. The following table shows the correlation between the returns on these stocks. Stock A Stock B Stock C Stock A +1.0 Stock B +0.9 +1.0 Stock C +0.1 -0.4 +1.0 Given these correlations, the portfolio constructed from these stocks having the lowest risk is a portfolio: Equally invested in stocks A and B. Equally invested in stocks A and C. Equally invested in stocks B and C. Totally invested in stock C.
- Consider the following information for Stocks A, B, and C. The returns on the three stocks, while positively correlated, are not perfectly correlated. The risk-free rate is 5.50%. Stock A B C Expected Return 10.00% 10.90% 11.80% Standard Deviation 15% 15% 15% Beta 1.5 1.8 2.1 Let , be the expected return of stock i, ra represent the risk-free rate, b represent the Beta of a stock, and TM represent the market return. Using SML equation, you can solve for the market risk premium which, in this case, equals approximately The beta for Fund P is approximately Consider Fund P, which has one third of its funds invested in each of stock A, B, and C. You have the market risk premium, the beta for Fund P, and the risk-free rate. Hint: Recall that because the market is in equilibrium, the required rate of return is equal to the expected rate of return for each stock. This information implies that the required rate of return for Fund P is approximately Which of the following is the reason why the…Consider the following information for Stocks A, B, and C. The returns on the three stocks, while positively correlated, are not perfectly correlated. The risk-free rate is 5.50%. Stock Expected Return Standard Deviation Beta A 7.60% 10% 0.6 B 9,70% 10% 1.2 11.80% 10% 1.8 Let ri be the expected return of stock i, FRE represent the risk-free rate, b represent the Beta of a stock, and rM represent the market return. Assume that the market is in equilibrium, with the required rate of returns equal to expected returns. According to the video, which equation most closely describes the relationship between required returns, beta, and the market risk premium? O ri = TRF + O rn = TRE +bx (rM + TRF) On = TRF - bx (rM – TRF) On = TRF + bx (rM - TRF) Hint: Recall that because the market is in equilibrium, the required rate of return is equal to the expected rate of return for each stock. Using the equation you just identified, you can solve for the market risk premium which, in this case, equals…Stock A has an expected return of 10% and a standard deviation of 20%. Stock B has an expected return of 13% anda standard deviation of 30%. The risk-free rate is 5% and the market risk premium is 6%. Assume that the marketis in equilibrium. Portfolio AB has 50% invested in Stock A and 50% invested in Stock B. The returns of Stock A andStock B are independent of one another, i.e., the correlation coefficient between them is zero. What is Stock B’sbeta?
- Suppose the expected returns and standard deviations of Stocks A and B are E(RA) = .092, E(RB) = 152, OA = .362, and og = .622. Calculate the expected return of a portfolio that is composed of 37 percent A and а-1. 63 percent B when the correlation between the returns on A and B is .52. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Calculate the standard deviation of a portfolio that is composed of 37 percent A and 63 percent B when the correlation coefficient between the returns on A and B is .52. а-2. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Calculate the standard deviation of a portfolio with the same portfolio weights as in part (a) when the correlation coefficient between the returns on A and B is -.52. (Do b. not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)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…Stock A has expected return of 15% and standard deviation (s.d.) 20%. Stock B has expected return 20% and s.d. 15%. The two stocks have a correlation coefficient of 0.5. 1.Note that Stock A has greater risk (s.d.) that Stock B, but a lower expected return. Explain how is this possible in a world where returns on assets are as predicted by the CAPM. 2. Determine the expected return and the s.d. of portfolio P1, composed by investing 30% in stock A and 70% in stock B. 3. Consider stock C that has expected return 15% and s.d. 15%. Stock C is uncorrelated with either stock A and stock B. Determine the expected return and s.d. of portfolio P2 made by investing 50% in stock C and 50% in portfolio P1.