Your client has $102,000 invested in stock A. She would like to build a two-stock portfolio by investing another $102,000 in either stock B or C. She wants a portfolio with an expected return of at east 14.0% and as low a risk as possible, but the standard deviation must be no more than 40%. What do you advise her to do, and what will be the portfolio expected return and standard deviation? Standard Deviation Correlation with A Expected Return 15% 13% 13% A B C 47% 40% 40% The expected return of the portfolio with stock B is 1.00 0.11 0.32 %. (Round to one decimal place.)

Your client has $102,000 invested in stock A. She would like to build a two-stock portfolio by investing another $102,000 in either stock B or C. She wants a portfolio with an expected return of at east 14.0% and as low a risk as possible, but the standard deviation must be no more than 40%. What do you advise her to do, and what will be the portfolio expected return and standard deviation? Standard Deviation Correlation with A Expected Return 15% 13% 13% A B C 47% 40% 40% The expected return of the portfolio with stock B is 1.00 0.11 0.32 %. (Round to one decimal place.)

Financial Management: Theory & Practice

16th Edition

ISBN:9781337909730

Author:Brigham

Publisher:Brigham

Chapter6: Risk And Return

Section: Chapter Questions

Problem 6MC: Your client is shocked at how much risk Blandy stock has and would like to reduce the level of risk....

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Your client has $100,000 invested in stock A. She would like to build a two-stock portfolio by investing another $100,000 in either stock B or C. She wants a portfolio with an expected return of at least 15.0% and as low a risk as possible, but the standard deviation must be no more than 40%. What do you advise her to do, and what will be the portfolio expected return and standard deviation? Expected Return Standard Deviation Correlation with A A (BC 16% 14% 14% 45% 38% 38% 1.00 0.18 0.31 The expected return of the portfolio with stock B is ☐ %. (Round to one decimal place.)
Your client has $95,000 invested in stock A. She would like to build a two-stock portfolio by investing another $95,000 in either stock B or C. She wants a portfolio with an expected return of at least 14.5% and as low a risk as possible, but the standard deviation must be no more than 40%. What do you advise her to do, and what will be the portfolio expected return and standard deviation? Expected Return Standard Deviation Correlation with A A 17% 47% 1.00 12% 38% 0.14 12% 38% 0.27 The expected return of the portfolio with stock B is %. (Round to one decimal place.) The expected return of the portfolio with stock C is %. (Round to one decimal place.) The standard deviation of the portfolio with stock B is %. (Round to one decimal place.) The standard deviation of the portfolio with stock C is %. (Round to one decimal place.) (Select from the drop-down menu.) You would advise your client to choose because it will produce the portfolio with the lower standard deviation. stock B stock C
Your client has $103,000 invested in stock A. She would like to build a two-stock portfolio by investing another $103,000 in either stock B or C. She wants a portfolio with an expected return of at least 15.0% and as low a risk as possible, but the standard deviation must be no more than 40%. What do you advise her to do, and what will be the portfolio expected return and standard deviation? Expected Return Standard Deviation Correlation with A A 16% 46% 1.00 B 14% 38% 0.18 C 14% 38% 0.28 The expected return of the portfolio with stock B is %. (Round to one decimal place.)
Your client has $103,000 invested in stock A. She would like to build a two-stock portfolio by investing another $103,000 in either stock B or C. She wants a portfolio with an expected return of at least 14.5% and as low a risk as possible, but the standard deviation must be no more than 40%. What do you advise her to do, and what will be the portfolio expected return and standard deviation? A B C Expected Return 17% 12% 12% Standard Deviation Calculate the standard deviation of stocks B&C 47% 38% 38% c Correlation with A 1.00 0.15 0.32
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.
Ms. B has $1000 to invest. She is considering investing in the common stock of company M. In addition, Ms. B will either borrow or lend at the risk-free rate. Ms. B decide to invest $350 in common stock of company M and $650 placed in the risk- free asset. The relevant parameters are 1) What is the expected return? 2) What is the variance of the portfolio? 3) What is the standard deviation of the portfolio?
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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% Wx-60% and Wy=40%
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.
You manage a risky portfolio with an expected rate of return of 20% and a standard deviation of 34%. The T-bill rate is 8%. Your risky portfolio includes the following investments in the given proportions: Stock A Stock B Stock C Suppose that your client decides to invest in your portfolio a proportion y of the total investment budget so that the overall portfolio will have an expected rate of return of 17%. a. What is the proportion y? (Round your answer to the nearest whole number.) Proportion y 45% 32% 23% T-Bills Stock A Stock B Stock C b. What are your client's investment proportions in your three stocks and the T-bill fund? (Do not round intermediate calculations. Round your answers to 2 decimal places.) % Investment Proportions % % % %
You are constructing a simple portfolio using two stocks A and B. Both have the same expected return of 12%. The standard deviation of A's return is 20% and the standard deviation of B's return is 30%; the correlation of their return is 50%. How will you allocate your investment between these two stocks to minimize the risk of your portfolio? Please show your derivation by attaching a file below