An investor can design a risky portfolio based on two stocks, X and Y. Stock X has an expected return of 13% and a standard deviation of return of 15%. Stock Y has an expected return of 16% and a standard deviation of return of 19%. The correlation coefficient between the returns of X and Y is 0.15. The risk-free rate of return is 3%. How much does the investor need to invest in each stock to create the optimal portfolio? O Wx-40% and Wy=60% Wx-45% and Wy=55% Wx-50% and Wy=50% Wx-55% and Wy=45% O Wx-60% and Wy=40%

An investor can design a risky portfolio based on two stocks, X and Y. Stock X has an expected return of 13% and a standard deviation of return of 15%. Stock Y has an expected return of 16% and a standard deviation of return of 19%. The correlation coefficient between the returns of X and Y is 0.15. The risk-free rate of return is 3%. How much does the investor need to invest in each stock to create the optimal portfolio? O Wx-40% and Wy=60% Wx-45% and Wy=55% Wx-50% and Wy=50% Wx-55% and Wy=45% O Wx-60% and Wy=40%

Corporate Fin Focused Approach

5th Edition

ISBN:9781285660516

Author:EHRHARDT

Publisher:EHRHARDT

Chapter6: Risk And Return

Section: Chapter Questions

Problem 14P

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You have observed the following returns over time: Assume that the risk-free rate is 6% and the market risk premium is 5%. What are the betas of Stocks X and Y? What are the required rates of return on Stocks X and Y? What is the required rate of return on a portfolio consisting of 80% of Stock X and 20% of Stock Y?
An investor can design a risky portfolio based on two stocks, A and B. Stock A has an expected return of 15% and a standard deviation of return of 16.0%. Stock B has an expected return of 11% and a standard deviation of return of 4%. The correlation coefficient between the returns of A and B is 0.50. The risk-free rate of return is 7%. The proportion of the optimal risky portfolio that should be invested in stock A is __________.
An investor can design a risky portfolio based on two stocks, A and B. Stock A has an expected return of 21% and a standard deviation of return of 39%. Stock B has an expected return of 14% and a standard deviation of return of 20%. The correlation coefficient between the returns of A and B is .4. The risk-free rate of return is 5%. The expected return on the optimal risky portfolio is approximately ____?____. Using the risk and return profile calculated in Q10 and Q11 (standard deviation of the optimal risky portfolio is 21.4%), what is the percentage weight that you need to invest in the optimal risky portfolio if you want your complete portfolio to achieve 12% return? ___?___
An investor can design a risky portfolio based on two stocks, A and B. Stock A has an expected return of 21% and a standard deviation of return of 39%. Stock B has an expected return of 14% and a standard deviation of return of 20%. The correlation coefficient between the returns of A and B is .4. The risk-free rate of return is 5%. what is the standard deviation of returns on the optimal risky portfolio is ____?
An investor can design a risky portfolio based on two stocks, A and B. Stock A has an expected return of 0.14 and a standard deviation of return of 0.18. Stock B has an expected return of 0.15 and a standard deviation of return of 0.23. The correlation coefficient between the returns of A and B is 0.67. The risk-free rate of return is 0.11. The proportion of the optimal risky portfolio that should be invested in stock A is Please answer in decimal terms rounded to four decimal places.
"An investor can design a risky portfolio based on two stocks, A and B. Stock A has an expected return of 9.5% and a standard deviation of return of 8%. Stock B has an expected return of 5% and a standard deviation of return of 2% . The correlation coefficient between the returns of A and B is 0.75. The risk - free rate of return is 3.5 % . The expected return on the optimal risky portfolio is Note: Express your answers in strictly numerical terms. For example, if the answer is 5%, write 0.05"
An investor can design a risky portfolio based on two stocks, A and B. Stock A has an expected return of 17% and a standard deviation of return of 28%. Stock B has an expected return of 15% and a standard deviation of return of 15%. The correlation coefficient between the returns of A and B is 0.8. The risk-free rate of return is 3.2%. What is the expected return on the optimal risky portfolio? Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.
An investor can design a risky portfolio based on two stocks, A and B. Stock A has an expected return of 12% and a standard deviation of return of 15.0%. Stock B has an expected return of 8% and a standard deviation of return of 3%. The correlation coefficient between the returns of A and B is 0.60. The risk-free rate of return is 6%. The proportion of the optimal risky portfolio that should be invested in stock A is Multiple Choice O O O 0% 60% 45% 66%
An investor can design a risky portfolio based on two stocks, A and B. Stock A has an expected return of 17% and a standard deviation of return of 29 %. Stock B has an expected return of 12% and a standard deviation of return of 14%. The correlation coefficient between the returns of A and B is 0.4. The risk - free rate of return is 6 %. The proportion of the optimal risky portfolio that should be invested in stock B is approximately Multiple Choice 73 % 27 % 35% 65%
Suppose an investor uses two stocks A and B to build a risky portfolio. The following information is given: E(r_A)=10%,E(r_B)=12%,0_A=15%,o_B=20%, p_AB=0.4,r_f=2%. Denote the optimal risky portfolio investor can achieve with the highest Sharpe ratio by portfolio O. Calculate the weights of A and B (w_A and w_B) in the optimal risky portfolio O. Calculate the expected return and standard deviation of return for portfolio O. Calculate the Sharpe ratio of portfolio O.
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.
An investor can design a risky portfolio based on two stocks, A and B. Stock A has an expected return of 21% and a standard deviation of return of 39 %. Stock B has an expected return of 14% and a standard deviation of return of 20%. The correlation coefficient between the returns of A and B is .4. The risk-free rate of return is 5%. The standard deviation of returns on the optimal risky portfolio is Multiple Choice 25.5% 22.3% 21.4% 20.7% O 11:18PM 20/200