Suppose you have a portfolio consisting of two assets, A and B. Stock A has an expected return of 14% and a standard deviation of 31%. Stock B has an expected return of 10% and a standard deviation of 15%. Stocks A and B have a correlation of 0.98. Assuming you invest $7,000 in stock A and $3,000 in stock B, what is the standard deviation of your portfolio? 35.1% 19.4% 26.1% 14.1%
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Suppose you have a portfolio consisting of two assets, A and B. Stock A has an expected return of 14% and a standard deviation of 31%. Stock B has an expected return of 10% and a standard deviation of 15%. Stocks A and B have a correlation of 0.98. Assuming you invest $7,000 in stock A and $3,000 in stock B, what is the standard deviation of your portfolio?
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35.1% |
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19.4% |
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26.1% |
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14.1% |
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- Suppose the total risk of Portfolios A, B and C are 49% ², 64%² and 100% ² respectively. The market price of risk is 8%. The Market Portfolio (M) has an expected return and a total risk of 11% and 100% respectively. (a) You want to form another Portfolio H by investing $7,000 in Portfolio A and $3,000 in Portfolio B. Compute the standard deviation of Portfolio H if the correlation coefficient between Portfolio A and Portfolio B is: i) perfectly positively correlated ii) uncorrelated iii) perfectly negatively correlated (b) If the expected return of Portfolio C is 9.4% and it is lying on the Securities Market Line, what is the beta of Portfolio C? State the answer in %². (c) Is Portfolio C a Market Portfolio as it has same level of total risk (i.e. 100% 2) as the Market Portfolio? Why or Why not?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.An investiment portfolio consists of two securities, X and Y. The weight of X is 30%. Asset X's expected return is 15% and the standard deviation is 28%. Asset Y's expected return is 23% and the standard deviation is 33%. Assume the correlation coefficient between X and Y is 0.37. A. Calcualte the expected return of the portfolio. B. Calculate the standard deviation of the portfolio return. C. Suppose now the investor decides to add some risk free assets into this portfolio. The new weights of X, Y and risk free assets are 0.21, 0.49 and 0.30. What is the standard deviation of the new portfolio?
- Consider two types of assets: market portfolio (M) and stock A. The expected return is 8% and standard deviation of the market portfolio is 15%. The risk-free rate is 2%. The standard deviation of market portfolio returns is 15%. The standard deviation of stock A is 30%, and the beta coefficient is 1. Draw the capital market line and show the position of stock A.Consider a portfolio consisting of the following three stocks: an expected return of 8%. The risk-free rate is 3%. a. Compute the beta and expected return of each stock. ▪ The volatility of the market portfolio is 10% and it has b. Using your answer from part a, calculate the expected return of the portfolio. c. What is the beta of the portfolio? d. Using your answer from part c, calculate the expected return of the portfolio and verify that it matches your answer to part b.Consider a portfolio consisting of the following three stocks: E The volatility of the market portfolio is 10% and it has an expected return of 8%. The risk-free rate is 3%. a. Compute the beta and expected return of each stock. b. Using your answer from part (a), calculate the expected return of the portfolio. c. What is the beta of the portfolio? d. Using your answer from part (c), calculate the expected return of the portfolio and verify that it matches your answer to part (b). a. Compute the beta and expected return of each stock. (Round to two decimal places.) TITLT Data table Portfolio Weight (A) Volatility (B) Correlation (C) Expected Return (E) % Beta (D) НЕС Согр 0.28 13% 0.33 Green Widget (Click on the following icon a in order to copy its contents into a spreadsheet.) 0.39 27% 0.61 % Portfolio Weight Alive And Well 0.33 14% 0.43 Volatility 13% Correlation with the Market Portfolio НЕС Согр Green Widget 0.28 0.33 b. Using your answer from part (a), calculate the expected…
- 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.4) Your portfolio consists of two stocks. Stock X has an expected return of 8% and a standard deviation of returns of 15%. Stock Y has an expected return of 12% and a standard deviation of returns of 20%. The correlation coefficient between the returns on stocks X and Y is 0.4. Stock X comprises 40% of the portfolio, and stock Y comprises 60% of the portfolio. a. What is the expected return of your portfolio? b. What is the standard deviation of returns for your portfolio? E Focu MacBook Pro
- Given there are two assets making up a portfolio where each asset has the following characteristics: Asset Risk (standard deviation) Expected return 10% 1 4% 2 16% 11% The correlation between the two assets is -1. (a) Given that the proportion invested in each asset is 50%, compute the expected return of the portfolio. (b) Given that the proportion invested in each asset is 50%, compute the portfolio risk, i.e. standard deviation of the portfolio. (c) Without using a graph paper, scratch a diagram to illustrate the portfolio diversification. Show the portfolio risk for perfect positive correlation and perfect negative correlation. (d) If the proportion invested in asset 1 is , compute the new expected return of the portfolio. Show the new expected return in the same diagram in part (c).You create a portfolio that invests 60% in stock A with E(rA) = 15%, σA = 10% and 40% in stock B with E(rB) = 10%, σB = 4%. 1. Estimate the expected return of the portfolio. 2. Estimate the standard deviation of the portfolio if the two stocks are uncorrelated. 3. Estimate the standard deviation of the portfolio if the two stocks have correlation 0.5. 4. Estimate the standard deviation of the portfolio if the two stocks are perfectly positively correlated.Consider a portfolio consisting of the following three stocks: LOADING... . The volatility of the market portfolio is 10% and it has an expected return of 8%. The risk-free rate is 3%. a. Compute the beta and expected return of each stock. b. Using your answer from part a, calculate the expected return of the portfolio. c. What is the beta of the portfolio? d. Using your answer from part c, calculate the expected return of the portfolio and verify that it matches your answer to part b. Question content area bottom Part 1 a. Compute the beta and expected return of each stock. (Round to two decimal places.) Portfolio Weight (A) Volatility (B) Correlation (C) Beta (D) Expected Return (E) HEC Corp 0.27 11% 0.33 enter your response here enter your response here% Green Widget 0.33 29% 0.71 enter your response here enter your response here% Alive And Well 0.40 11% 0.53 enter your response here enter…