You are considering investing $2,100 in a complete portfolio. The complete portfolio is composed of Treasury bills t pay 5% and a risky portfolio, P, constructed with two risky securities, X and Y. The optimal weights of X and Y in re 75% and 25% respectively. X las an expected rate of return of 12%, and Y has an expected rate of return of . To form a complete portfolio with an expected rate of return of 8%, you should invest approximately he risky portfolio. This will mean you will also invest approximately tfolio in security X and Y, respectively. and of your complete 0%, 75%, 25% 50%, 38%, 13% 48%, 36%, 12% 21%, 63%, 16%

You are considering investing $2,100 in a complete portfolio. The complete portfolio is composed of Treasury bills t pay 5% and a risky portfolio, P, constructed with two risky securities, X and Y. The optimal weights of X and Y in re 75% and 25% respectively. X las an expected rate of return of 12%, and Y has an expected rate of return of . To form a complete portfolio with an expected rate of return of 8%, you should invest approximately he risky portfolio. This will mean you will also invest approximately tfolio in security X and Y, respectively. and of your complete 0%, 75%, 25% 50%, 38%, 13% 48%, 36%, 12% 21%, 63%, 16%

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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Consider the single factor APT. Portfolio A has a beta of 1.5 and an expected return of 20 %. Portfolio B has a beta of 0.7 and an expected return of 16%. The risk - free rate of return is 8%. If you wanted to take advantage of an arbitrage opportunity, you should take a short position in portfolio and a long position in portfolio
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 __________.
K You manage a risky portfolio with an expected rate of return of 10% and a standard deviation of 37%. The T-bill rate is 4%. Your client chooses to invest 80% of a portfolio in your fund and 20% in a T-bill money market fund. What is the reward-to-volatility (Sharpe) ratio (S) of your risky portfolio? Your client's? Note: Do not round intermediate calculations. Round your answers to 4 decimal places. Your reward-to-volatility (Sharpe) ratio Client's reward-to-volatility (Sharpe) ratio
Consider a risky portfolio. The end-of-year cash flow derived from the portfolio will be either $150,000 or $290,000 with equal probabilities of 0.5. The alternative risk-free investment in T-bills pays 3% per year. Required: a. If you require a risk premium of 7%, how much will you be willing to pay for the portfolio? b. Suppose that the portfolio can be purchased for the amount you found in (a). What will be the expected rate of return on the portfolio? c. Now suppose that you require a risk premium of 12%. What price are you willing to pay? Complete this question by entering your answers in the tabs below. Required A Required B Required C If you require a risk premium of 8%, how much will you be willing to pay for the portfolio? Note: Do not round your intermediate calculations. Round your answer to the nearest whole dollar amount. Price Required A Required B >
You manage a risky portfolio with an expected rate of return of 10% and a standard deviation of 34%. The T-bill rate is 4%. Suppose that your client prefers to invest in your fund a proportion y that maximizes the expected return on the complete portfolio subject to the constraint that the complete portfolio's standard deviation will not exceed 10%. Required: a. What is the investment proportion, y? b. What is the expected rate of return on the complete portfolio?
You manage a risky portfolio with an expected rate of return of 10% and a standard deviation of 33%. The T-bill rate is 2%. Your client chooses to invest 75% of a portfolio in your fund and 25% in an essentially risk-free money market fund. What are the expected return and standard deviation of the rate of return on his portfolio? Note: Round your answers to 2 decimal places. Expected return Standard deviation % %
You are evaluating various investment opportunities currently available and you have the fol-lowing information about five different well-diversified portfolios of risky assets. Interest raterf = 3% a) Calculate the Sharpe ratio for each portfolio. (b) Explain which of these five portfolios is most likely to be the optimal risky portfolio. (c) Suppose you are willing to invest with an expected return of 6%. What would be theinvestment proportions in the riskless asset and the optimal risky portfolio? What is thestandard deviation of the return for this investment?
2. You are designing a risky portfolio based on two stocks, A and B. A has expected return of 15% and standard deviation of return 20%. B has expected return of 20% and standard deviation of return 10%. The correlation coefficient between A and B is 0.5. The risky free rate of return is 8%. The proportion of the optimal risky portfolio that should be invested in A is?
You are a Morgan Stanley portfolio manager of a risky portfolio with an expected rate of return of 17% and a standard deviation of 28 %. The T - bill rate is 4%. Suppose your client decides to invest in your risky portfolio a proportion (y) of his total investment budget so that his overall portfolio will have a standard deviation of 10% . a. What is the proportion y?
Suppose that you have found the optimal risky combination using all risky assets available in the economy, and that this optimal risky portfolio has an expected return of 0.19 and standard deviation of 0.24. The T-bill rate is 0.05. What fraction of your money must be invested in the optimal risky portfolio in order to form a complete portfolio with an expected return of 0.09? Round your answer to 4 decimal places. For example, if your answer is 3.205 %, then please write down 0.0321..

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