You are considering investing $1,000 in a complete portfolio. The complete portfolio is composed of Treasury bills that pay 5% and a risky portfolio, P, constructed with two risky securities, X and Y. The optimal weights of X and Y in Pare 60% and 40%, respectively. X has an expected rate of return of 14%, and Y has an expected rate of return of 10%. If you decide to hold 25% of your complete portfolio in the risky portfolio and 75% in the Treasury bills, then the dollar values of your positions in X and Y, respectively, would be and A. $300; $450 B. $150; $100 C $100; $150 D. S450; $300

You are considering investing $1,000 in a complete portfolio. The complete portfolio is composed of Treasury bills that pay 5% and a risky portfolio, P, constructed with two risky securities, X and Y. The optimal weights of X and Y in Pare 60% and 40%, respectively. X has an expected rate of return of 14%, and Y has an expected rate of return of 10%. If you decide to hold 25% of your complete portfolio in the risky portfolio and 75% in the Treasury bills, then the dollar values of your positions in X and Y, respectively, would be and A. $300; $450 B. $150; $100 C $100; $150 D. S450; $300

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 a risky portfolio. The end-of-year cash flow derived from the portfolio will be either $75,000with a probability of 25%, $125,000 with a probability of 50%, or $140,000 with a probability of 25%.The alternative risk-free investment in T-bills pays 4% per year. a) If you require a risk premium of 8%, how much will you be willing to pay for the portfolio?b) What is the Sharpe ratio of the portfolio if you can purchase it at the price calculated above?
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 $10.00 million mutual fund that has a beta of 1.05 and a 9.50% required return. The risk-free rate is 2.20%. You now receive another $11.50 million, which you invest in stocks with an average beta of 0.82. What is the required rate of return on the new portfolio? (Hint: You must first find the market risk premium, then find the new portfolio beta.)
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 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.
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 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 want to invest $44,000 in a portfolio with a beta of no more than 1:4 and an expected return of 13.8%. Bay Corp has a bela of 0.9 and an expected return of 10.3% and City Inc. has a bela of 1.7 and an expected return of 15.9%. The risk-free rate is 4%. Is it possible to create this portfolio investing in Bay Corp. and City Inc.? If so, how much will you invest in each? Select the correct choice and, if necessary, fill in the answer boxes to complete your choice. OA. It is possible to create the portfolio by investing $ in Bay Corp. and S (Round to the nearest cent) OB. It is not possible to create the portfolio. in City Inc. KILD
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ou invest $3,000 in a complete portfolio. The complete portfolio is composed of a risky asset with an expected rate of return of 15% and a standard deviation of 20% and a Treasury bill with a rate of return of 10%. __________ of your complete portfolio should be invested in the risky portfolio if you want your complete portfolio to have a standard deviation of 8%.
You want to create a portfolio equally as risky as the market, and you have $1,200,000 to invest. Consider the following information: Asset Stock A Stock B Stock C Risk-free asset What is the investment in Stock C? Investment Investment $300,000 $ 240,000 Investment Beta 0.70 1.10 1.50 What is the investment in risk-free asset?

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