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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You are considering investing $1,100 in a complete portfolio. The complete portfolio is composed of Treasury bills that pay 4% and a risky portfolio, P, constructed with two risky securities, X and Y. The optimal weights of X and Y in P are 60% and 40% respectively. X has an expected rate of return of 15%, and Y has an expected rate of return of 10%. To form a complete portfolio with an expected rate of return of 7%, you should invest approximately __________ in the risky portfolio. This will mean you will also invest approximately __________ and __________ of your complete portfolio in security X and Y, respectively.
1. You are considering investing $1000 in a complete portfolio. The complete portfolio is composed of Treasury bills that pay 2% and a risky portfolio, P, constructed with two risky securities, X and Y. The optimal weights of X and Y in P are 15% and 85%, respectively. X has an expected rate of return of 15%, and Y has an expected rate of return of 30%. The dollar values of your position in X would be _________, if you decide to hold a complete portfolio that has an expected return of 24%. 2. You are considering investing $1000 in a complete portfolio. The complete portfolio is composed of Treasury bills that pay 2% and a risky portfolio, P, constructed with two risky securities, X and Y. The optimal weights of X and Y in P are 15% and 85%, respectively. X has an expected rate of return of 15%, and Y has an expected rate of return of 30%. The dollar values of your position in Y would be _________, if you decide to hold a complete portfolio that has an expected return of 24%. 3. You are…
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
Suppose that a portfolio consist of three securities: A, B and C with expected rates of return of 5%, 9% and 14% respectively. Find the expected rate of return on each of the following two portfolios of these securities: Portfolio A where wA = WB = Wc Portfolio B where wA = WB = 2wc Assume that you currently have $10,000 and that the risk of each portfolio is 10%. Which portfolio which you choose and why? b) How much will you have invested in each security in each instance? c) What is the expected value of the portfolio one year from today? d) What is the expected return on the portfolio in $ terms, assuming no taxes nor fees?
You are considering investing $1000 in a complete portfolio. The complete portfolio is composed of Treasury bills that pay 2.5% and a risky portfolio, P, constructed with two risky securities, X and Y. The optimal weights of X and Y in P are 35% and 65%, respectively. X has an expected rate of return of 21%, and Y has an expected rate of return of 9%. The dollar values of your position in Y would be _________, if you decide to hold a complete portfolio that has an expected return of 11%. Note
You currently have $100,000 invested in a portfolio A that has an expected return of 12% and a volatility of 8%. Suppose the risk-free rate is 4%, and there is another portfolio B that has an expected return of 20% and a volatility of 12%. Is the portfolio A you hold now efficient? If not, construct a portfolio that outperforms yours
You are considering investing $1000 in a complete portfolio. The complete portfolio is composed of Treasury bills that pay 2.5% and a risky portfolio, P, constructed with two risky securities, X and Y. The optimal weights of X and Y in P are 35% and 65%, respectively. X has an expected rate of return of 21%, and Y has an expected rate of return of 9%. The dollar values of your position in the Tbill would be _________, if you decide to hold a complete portfolio that has an expected return of 11%.
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 P are 60% and 40%, respectively. X has a return volatility of 25%, and Y has a return volatility of 30%. The correlation between X and Y is -0.2. If you decide to hold a complete portfolio that has a return volatility of 15%, how much should you invest in the Treasury bills? $1,000 $687 $130 $220
Suppose you have $2,000 to invest. The market portfolio has an expected return of 10.5 percent and a standard deviation of 16 percent. The risk-free rate is 3.75 percent. How much should you invest in the risk-free asset if you wish to have a 15 percent return on the portfolio?
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 P are 60% and 40% respectively. X has an expected rate of return of 14%, and Y has an expected rate of return of 10%. To form a complete portfolio with an expected rate of return of 8%, you should invest approximately in the risky portfolio. This will mean you will also invest approximately portfolio in security X and Y, respectively. and of your complete 0%; 60%; 40% 25%; 45%; 30% 40%; 24%; 16% 50%; 30%; 20%
You are considering investing $1000 in a complete portfolio. The complete portfolio is composed of Treasury notes that pay 5% and a risky portfolio, P, constructed with two risky securities X and Y. The optimal weights of X and Y in P are 60% and 40% respectively. X has an expected rate of return of 14% and Y has an expected rate of return of 10%. To form a complete portfolio with an expected rate of return of 11%, you should invest ________ of your complete portfolio in Treasury notes.
You currently have $100000 invested in a portfolio that has an expected return of 12% and a volatility of 8%. Suppose the risk-free rate is 5% and there is another portfolio that has an expected return of 20% and a volatility of 12%. Required: 1. What portfolio has a higher expected return that your portfolio but with the same volatility? 2. What portfolio has a lower volatility than your portfolio but with the same expected return?

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