You invest $2,000 in a complete portfolio. The complete portfolio is composed of a risky asset with an expected rate of return of 16% and a standard deviation of 30% and a Treasury bill with a rate of return of 6%. $_ of your complete portfolio should be invested in the risky portfolio if you want your complete portfolio to have a standard deviation of 21%.

You invest $2,000 in a complete portfolio. The complete portfolio is composed of a risky asset with an expected rate of return of 16% and a standard deviation of 30% and a Treasury bill with a rate of return of 6%. $_ of your complete portfolio should be invested in the risky portfolio if you want your complete portfolio to have a standard deviation of 21%.

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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You are considering investing $1,000 in a T-bill that pays 4% and a risky portfolio, P, constructed with two risky securities, X and Y. The weights of X and Y in P are 30% and 70%, respectively. X has an expected rate of return of 13% and a standard deviation of 20%, and Y has an expected rate of return of 10% and a standard deviation of 14%. If you want to form a portfolio with an expected rate of return of 10%, what percentages of your money must you invest in the T-bill, X, and Y. respectively, if you keep X and Y in the same proportions to each other as in portfolio P? [Select] If the correlation coefficient between X and Y is 0.15 then what is the standard deviation of the complete portfolio? [Select]
You are examining a portfolio manager’s active investing portfolio. The portfolio has a beta of 2 and has an average return of 15%. The risk free rate is 1% and the market return is 10%, is the manager’s active investing strategy working ?
Suppose that you currently have $100,000 invested in a portfolio with an expected return of 13% and a volatility of 8%. The efficient (tangent) portfolio has an expected return of 17% and a volatility of 10%. The risk-free rate of interest is 1%. Suppose that you want to keep the expected return equal to the current rate of 13%. Accordingly, the level of risk you can expect is: 1.00% 3.75% 4.75% 5.15% None of the above
Assume that you manage a risky portfolio with an expected rate of return of 17% and a standard deviation of 27%. The T-bill rate is 7%. Your risky portfolio includes the following investments in the given proportions: Stock A Stock B Stock C 27% 33 40 Your client decides to invest in your risky portfolio a proportion (y) of his total investment budget with the remainder in a T-bill money market fund so that his overall portfolio will have an expected rate of return of 15%. Required: a. What is the proportion y? (Round your answer to 1 decimal place.) Proportion y 0.8 X %
You invest $96 in a risky asset and the T-bill. The risky asset has an expected rate of return of 19% and a standard deviation of 0.22, and a T-bill with a rate of return of 4%. A portfolio that has an expected outcome of $110 is formed by investing what dollar amount in the risky asset? Round your answer to the nearest cent (2 decimal places).
You manage a risky portfolio with an expected rate of return of 14% and a standard deviation of 30%. The T-bill rate is 2%. Your client chooses to invest 65% of a portfolio in your fund and 35% 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
State the return rate (in %) for your optimal 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 __________.
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?
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?

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