You have $138,000 to invest in a portfolio containing Stock X, Stock Y, and a risk-free asset. You must invest all of your money. Your goal is to create a portfolio that has an expected returr percent and that has only 76 percent of the risk of the overall market. If X has an expected return of 31 percent and a beta of 1.8, Y has an expected return of 20 percent and a beta of 1.2, risk-free rate is 7 percent, how much money will you invest in Stock Y?

You have $138,000 to invest in a portfolio containing Stock X, Stock Y, and a risk-free asset. You must invest all of your money. Your goal is to create a portfolio that has an expected returr percent and that has only 76 percent of the risk of the overall market. If X has an expected return of 31 percent and a beta of 1.8, Y has an expected return of 20 percent and a beta of 1.2, risk-free rate is 7 percent, how much money will you invest in Stock Y?

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 want to invest $46,000 in a portfolio with a beta of no more than 1.34 and an expected return of 12.1%. Bay Corp. has a beta of 1.18 ar an expected return of 11.4%, and City Inc. has a beta of 1.76 and an expected return of 14.06%. The risk-free rate is 6%. Is it possible to create this portfolio investing in Bay Corp. and City Inc.? If so, how much will you invest in each? (Select from the drop-down menu.) Is it possible to create this portfolio investing in Bay Corp. and City Inc.? In Bay Corp., you should invest $ (Round to the nearest cent.) In City Inc., you should invest $ (Round to the nearest cent.)
You have been managing a $5 million portfolio that has a beta of 1.15 and a required rate of return of 9.025%. The current risk-free rate is 5%. Assume that you receive another $500,000. If you invest the money in a stock with a beta of 0.95, what will be the required return on your $5.5 million portfolio? Do not round intermediate calculations. Round your answer to two decimal places. ___%
You want to invest $45,000 in a portfolio with a beta of no more than 1.44 and an expected return of 14.3%. Bay Corp. has a beta of 0.83 and an expected return of 10.8%, and City Inc. has a beta of 1.9 and an expected return of 16.98%. The risk-free rate is 6%. You can invest in Bay Corp. and City Inc. How much will you invest in each?
You have been managing a $5 million portfolio that has a beta of 1.05 and a required rate of return of 6.675%. The current risk-free rate is 3%. Assume that you receive another $500,000. If you invest the money in a stock with a beta of 1.25, what will be the required return on your $5.5 million portfolio? Do not round intermediate calculations. Round your answer to two decimal places.
You have been managing a $5 million portfolio that has a beta of 1.05 and a required rate of return of 10.775%. The current risk-free rate is 5%. Assume that you receive another $500,000. If you invest the money in a stock with a beta of 0.75, what will be the required return on your $5.5 million portfolio? Do not round intermediate calculations. Round your answer to two decimal places.
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
Consider stocks of Firms A and B. Their expected returns are 12% and 11%, respectively, and the volatilities of their returns are 8% and 10%, respectively. Firm A has a market beta of 1.5 and Firm B has a market beta of 1.0, and the correlation between the two stocks is 0.5. Your risk-averse client wants to invest $5 million with an expected return of 15%. You can put together a portfolio with the market index, Firm A, Firm B, and a risk-free asset. Which of these four securities would you include in the portfolio and how much would you invest in each security?
Give typing answer with explanation and conclusion
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 least 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? Expected Return Standard Deviation Correlation with A A B с 15% 13% 13% 47% 40% 40% Part 1 of 5 The expected return of the portfolio with stock B is 1.00 0.11 0.32 %. (Round to one decimal place.)
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?

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