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 25%. Stock B has an expected return of 10% and a standard deviation of return of 20%. The correlation coefficient between the returns of A and B is 0.5. The risk-free rate of return in this economy is 4%. The investor wishes to construct an optimal risky Elr₂l-ri_). The portfolio (i.e. the portfolio with the highest Sharpe ratio = Jp proportion of the optimal risky portfolio that should be invested in stock A is 65.14% 82.25% 71.15% 74.36% 68.20%

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 25%. Stock B has an expected return of 10% and a standard deviation of return of 20%. The correlation coefficient between the returns of A and B is 0.5. The risk-free rate of return in this economy is 4%. The investor wishes to construct an optimal risky Elr₂l-ri_). The portfolio (i.e. the portfolio with the highest Sharpe ratio = Jp proportion of the optimal risky portfolio that should be invested in stock A is 65.14% 82.25% 71.15% 74.36% 68.20%

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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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.
The risk free rate is 3%. The optimal risky portfolio has an expected return of 9% and standarddeviation of 20%. Answer the following questions.a) Assume the utility function of an investor is U = E(r) − 0.5Aσ2. What is condition ofA to make the investors prefer the optimal risky portfolio than the risk free asset? b) Assume the utility function of an investor is U = E(r) − 2.5σ2. What is the expectedreturn and standard deviation of the investor’s optimal complete 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 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? ___?___
A financial advisor is offering you a product with an expected return of 8% and a return standard deviation of 12%. Is this an efficient investment if the risk-free rate is 1%, the market return is 14%, and the market volatility is 22%? Select one: O a. The offered portfolio is more efficient than an optimal portfolio Ob. The offered portfolio is less efficient than an optimal portfolio O. The offered portfolio is less volatile but offers a higher return than an optimal portfolio O d. We cannot state whether the offered portfolio is less efficient than an optimal portfolio
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%
he risk free rate is 3%. The optimal risky portfolio has an expected return of 9% and standarddeviation of 20%. (a) Assume the utility function of an investor is U = E(r) − 0.5Aσ2. What is condition ofA to make the investors prefer the optimal risky portfolio than the risk free asset? (b) Assume the utility function of an investor is U = E(r) − 2.5σ2. What is the expectedreturn and standard deviation of the investor’s optimal complete portfolio?
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 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 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"
You compute the optimal risky portfolio to have the expected return of 12% and standard deviation of 20%. The risk free rate is 4%. What will be the standard deviation of the complete portfolio of risk free asset and the optimal risk portfolio, for a risk averse investor with risk aversion index A=6. O 1.11 О 3.33 O 5.67 O 6.67 O None of above
A financial advisor is offering you a product with an expected return of 8% and a return standard deviation of 12%. is this an efficient investment if the risk-free rate is 1%, the market return is 14%, and the market volatility is 22%? Select one: Oa The offered portfolio is more efficient than an optimal portfolio Ob. The offered portfolio is less efficient than an optimal portfolio O. The offered portfolio is less volatile but offers a higher return than an optimal portfolio O d. We cannot state whether the offered portfolio is less efficient than an optimal portfolio
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.

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