You invest 47% of your money in Stock A and the rest in Stock B. The standard deviation of annual returns is 72% for Stock A and 72% for Stock B. The correlation between the two stocks is 0.3. By how many percentage points does diversifying between these two stocks reduce your risk?
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You invest 47% of your money in Stock A and the rest in Stock B. The standard deviation of annual returns is 72% for Stock A and 72% for Stock B. The correlation between the two stocks is 0.3. By how many percentage points does diversifying between these two stocks reduce your risk?
Correct answer 0.139
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- The standard deviation of stock returns for Stock A is 40%. The standard deviation of the market return is 20%. If the correlation between Stock A and the market is 0.70, then what is Stock A’s beta?c) Stock 1 has a standard deviation of return of 1%. Stock 2 has a standard deviation of return of 8%. The correlation coefficient between the two stocks is 0.5. If you invest 60% of your funds in stock 1 and 40% in stock 2, what is the standard deviation of your portfolio? Please provide the details of your calculations and discuss your results.A6) Finance You invest 45% of your money in stock y and the rest in stock Z. The standard deviation of stock y annual returns is 57% and the standard deviation of stock Z's annual return is 49%. The return correlation between the two stocks is 0.3. By how many percentage points did diversification reduce your risk in this case
- Stocks A and B have the following probability distributions of expected future returns: profitability A B 0.1 11% 27% 0.2 3 0 0.4 12 20 0.2 24 28 0.1 36 43 Calculate the expected rate of return, , for Stock B ( = 12.70%.) Do not round intermediate calculations. Round your answer to two decimal places. % Calculate the standard deviation of expected returns, σA, for Stock A (σB = 18.54%.) Do not round intermediate calculations. Round your answer to two decimal places. % Now calculate the coefficient of variation for Stock B. Do not round intermediate calculations. Round your answer to two decimal places. Is it possible that most investors might regard Stock B as being less risky than Stock A? If Stock B is more highly correlated with the market than A, then it might have the same beta as Stock A, and hence be just as risky in a portfolio sense. If Stock B is less highly correlated with the market than A, then it might have a lower beta than Stock A, and hence be…Assume you have invested in two other stocks: Stock A has a beta of 1.20 and Stock B has a beta of 0.8. Rf= 2% and Rm = 12%. Using CAPM, what are the expected returns for each stock? Return of stock = Risk free rate + beta ( market rate of return - risk free rate of return) Return of Stock A = 2% + 1.20 (12% - 2%) = 2.12% Return of Stock B = 2% + 0.80 (12% - 2%) = 2.08% What is the expected return of an equally weighted portfolio of these two stocks? Weight of stock A = 0.50 Weight of Stock B = 0.50 Expected return = (Return of Stock A * weight of Stock A) + (Return of Stock B * weight of stock B) = (2.12 * 0.50) + (2.08*0.50) = 1.06 + 1.04 = 3% What is the beta of an equally weighted portfolio of these two stocks? Beta of portfolio = (Beta of Stock A * weight of stock A) + (Beta of Stock B * weight of Stock B) = (1.20*0.50) + (0.80*0.50) = 0.60 + 0.40 = 1 Beta of portfolio = 1 (iv) Sketch the SML to represent the…c) Stock 1 has a standard deviation of return of 1%. Stock 2 has a standard deviation of return of 8%. The correlation coefficient between the two stocks is 0.5. If you invest 60% of your funds in stock 1 and 40% in stock 2, what is the standard deviation of your portfolio? Please provide the details of your calculations and discuss your results. You decide now to combine your portfolio (discussed in question c) with another portfolio with the same standard deviation and invest equally in both portfolios. The correlation between the two portfolios is zero. d) What is the standard deviation of this new portfolio? Please provide the details of your calculations and discuss your results.
- c) Stock 1 has a standard deviation of return of 1%. Stock 2 has a standard deviation of return of 8%. The correlation coefficient between the two stocks is 0.5. If you invest 60% of your funds in stock 1 and 40% in stock 2, what is the standard deviation of your portfolio? Please provide the details of your calculations and discuss your results. You decide now to combine your portfolio (discussed in question c) with another portfolio with the same standard deviation and invest equally in both portfolios. The correlation between the two portfolios is zero. d) What is the standard deviation of this new portfolio? Please provide the details of your calculations and discuss your results. e) Did we achieve diversification by combining uncorrelated portfolios with identical levels of risk? Explain.The expected return and standard deviation of Stock A are 12% and 24%, respectively. The expected return and standard deviation of Stock B are 5% and 19%, respectively. The correlation between the two stocks is 0.4. The risk-free rate in the economy is 1%. A. What is the Sharpe ratio for Stock A and Stock B? Show your calculation steps briefly and clearly. B. Calculate the optimal risky portfolio P*. You do not need to show your calculation steps for this subquestion. C. Now suppose that the correlation between the two stocks is -0.2 (instead of 0.4). Re-calculate the optimal risky portfolio P* and compare it to your answer in Part B. What do you observe? You do not need to show your calculation steps for this subquestion. D. Using the results above, briefly explain why investors might still consider investing in stocks with a (relatively) low Sharpe ratio as a part of their portfolio.Stocks A and B have the following probability distributions of expected future returns: Probability A B 0.1 (6 %) (25 %) 0.2 6 0 0.5 16 23 0.1 23 27 0.1 37 43 Calculate the expected rate of return, , for Stock B ( = 14.60%.) Do not round intermediate calculations. Round your answer to two decimal places. % Calculate the standard deviation of expected returns, σA, for Stock A (σB = 18.13%.) Do not round intermediate calculations. Round your answer to two decimal places. % Now calculate the coefficient of variation for Stock B. Do not round intermediate calculations. Round your answer to two decimal places. Is it possible that most investors might regard Stock B as being less risky than Stock A? If Stock B is more highly correlated with the market than A, then it might have the same beta as Stock A, and hence be just as risky in a portfolio sense. If Stock B is less highly correlated with the market than A, then it might have a lower…
- Stocks A and B have the following probability distributions of expected future returns: Probability B 0.1 (31%) 0.1 0 0.6 23 0.1 26 0.1 44 a. Calculate the expected rate of return, B, for Stock B (A = 14.20%.) Do not round intermediate calculations. Round your answer to two decimal places. 17.7 % b. Calculate the standard deviation of expected returns, GA, for Stock A (OB = 19.01%.) Do not round intermediate calculations. Round your answer to two decimal places. % A (6%) 5 14 20 39 Now calculate the coefficient of variation for Stock B. Do not round intermediate calculations. Round your answer to two decimal places. 1.07 IV Is it possible that most investors might regard Stock B as being less risky than Stock A? I. If Stock B is more highly correlated with the market than A, then it might have a higher beta than Stock A, and hence be less risky in a portfolio sense. II. If Stock B is more highly correlated with the market than A, then it might have a lower beta than Stock A, and hence…Syntex, Inc. is considering an investment in one of two common stocks. Given the information that follows, which investment is better, based on the risk (as measured by the standard deviation) and return? Common Stock A Common Stock B Probability Return Probability Return 0.35 13% 0.25 −7% 0.30 17% 0.25 8% 0.35 21% 0.25 15% 0.25 23% (Click on the icon in order to copy its contents into a spreadsheet.) Question content area bottom Part 1 a. Given the information in the table, the expected rate of return for stock A is enter your response here%. (Round to two decimal places.)Stocks A and B have the following probability distributions of expected future returns: a. Calculate the expected rate of return, B, for Stock B (A = 12.50%.) Do not round intermediate calculations. Round your answer to two decimal places. % b. Calculate the standard deviation of expected returns, GA, for Stock A (σ = 20.90%.) Do not round intermediate calculations. Round your answer to two decimal places. % Now calculate the coefficient of variation for Stock B. Do not round intermediate calculations. Round your answer to two decimal places. Is it possible that most investors might regard Stock B as being less risky than Stock A? I. If Stock B is more highly correlated with the market than A, then it might have a lower beta than Stock A, and hence be less risky in a portfolio sense. II. If Stock B is more highly correlated with the market than A, then it might have the same beta as Stock A, and hence be just as risky in a portfolio sense. III. If Stock B is less highly correlated with…