A risk-averse Investor is Interested to know the Sharpe ratio of the portfollo to make an Investment decision. The expected return of the portfolio is 15%. The return on the risk-free Investment is 2.5%. The prevailing expected market return is 10% while the portfolio standard deviation is 5%.Calculate the Sharpe ratio of the Investment.The Sharpe ratio is 1.5.The Sharpe ratio is 2.5.The Sharpe ratio is 0.07.The Sharpe ratio is 3.

Risk-free rate = 2.5%Portfolio standard deviation = 5% Market return = 10%Portfolio' expected return…

risk-averse investor is interested to know the Sharpe ratio of the portfolio to make an investment decision. The expected return of the portiolo is 15%. The return on the nsk-free investment is Calculate the Sharpe ratio of the investment The Sharpe ratio is 15 The Sharpe ratio is 25 The Sharpe ratio is 0.07 The prevailing expected market retum is 10% while the portfolio standard de

risk-averse investor is interested to know the Sharpe ratio of the portfolio to make an investment decision. The expected return of the portiolo is 15%. The return on the nsk-free investment is Calculate the Sharpe ratio of the investment The Sharpe ratio is 15 The Sharpe ratio is 25 The Sharpe ratio is 0.07 The prevailing expected market retum is 10% while the portfolio standard de

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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c. Suppose the risk-free rate is 4.2 percent and the market portfolio has an expected return of 10.9 percent. The market portfolio has a variance of .0382. Portfolio Z has a correlation coefficient with the market of .28 and a variance of .3285. According to the capital asset pricing model, what is the expected return on Portfolio Z?
Suppose the risk-free rate is 6 percent and the market portfolio has an expected return of 12 percent. The market portfolio has a standard deviation of 7 percent. Portfolio Z has a correlation coefficient with the market of 0.35 and standard deviation of 6 percent. According to the capital asset pricing model, what is the expected return on portfolio Z a. 12.6 percent b. 7.8 percent c. 9.87 percent d. 12.05 percent
An investiment portfolio consists of two securities, X and Y. The weight of X is 30%. Asset X's expected return is 15% and the standard deviation is 28%. Asset Y's expected return is 23% and the standard deviation is 33%. Assume the correlation coefficient between X and Y is 0.37. A. Calcualte the expected return of the portfolio. B. Calculate the standard deviation of the portfolio return. C. Suppose now the investor decides to add some risk free assets into this portfolio. The new weights of X, Y and risk free assets are 0.21, 0.49 and 0.30. What is the standard deviation of the new portfolio?
The risk free rate is 3%. The optimal risky portfolio has an expected return of 9% and standarddeviation of 20%. Answer the following questions.a) Assume the utility function of an investor is U = E(r) − 0.5Aσ2. What is condition ofA to make the investors prefer the optimal risky portfolio than the risk free asset? b) Assume the utility function of an investor is U = E(r) − 2.5σ2. What is the expectedreturn and standard deviation of the investor’s optimal complete portfolio?
Assume that the risk-free rate, RF, is currently 9% and that the market return, rm, is currently 16%. a. Calculate the market risk premium. b. Given the previous data, calculate the required return on asset A having a beta of 0.4 and asset B having a beta of 1.8.
A portfolio that combines the risk-free asset and the market portfolio has an expected return of 7 percent and a standard deviation of 10 percent.The risk-free rate is 4 percent, and the expected return on the market portfolio is 12 percent. Assume the capital asset pricing model holds. Compute and justify the expected rate of return would a security earn if it had a 0.45 correlation with the market portfolio and a standard deviation of 55 percent.
An investor wants to design a complete portfolio with an expected rate of return of 15% from two risky and one risk-free assets. The first risky asset has an expected return of 13% and a standard deviation of return of 20%. The second risky asset has an expected return of 7% and a standard deviation of return of 5%. The correlation coefficient between the returns of the two risky assets is 0.40. The risk-free rate of return is 1%. What is the allocation of the investor’s money across these three assets?
Compute the expected rate of return on investment i given the followinginformation: Rf = 8%; E(RM) = 14%; βi = 1.0.b. Recalculate the required rate of return assuming βi is 1.8.25. a. Compute the expected rate of return on investment i given the followinginformation: the market risk premium is 5%; Rf = 6%; βi = 1.2.b. Compute E(RM)
Suppose that optimal risky portfolio has an expected return of 16% and a varianceof 0.04. The risk-free rate is 4%.a) Find the slope of Capital Market Line (Optimal Capital Allocation Line)?b) What is the expected return of a portfolio C, which is on Capital Market Line and has astandard deviation of 0.08?
What is the Sharpe ratio (S) of your risky portfolio and your client’s overall portfolio? , 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%.
Suppose the risk-free rate is 5%. The expected return and standard deviation of a risky asset are 10% and 20%, respectively. a. What is the slope of the capital allocation line (CAL) constructed using the risk-free asset and the risky asset? A. 0.30 B. 0.15 C. 0.25 D. 0.20 b. If an investor has a risk aversion coefficient of A=2, what is the optimal fraction of the money that she invests in the risky asset? A. 62.5% B. 42.5% C. 30% D. 20% c. If an investor invest 25% of her money in the risky asset, which is the investor’s risk aversion coefficient? a. 5 b. 1 c. 3 d. 4
The risk-free rate is currently 3.3%, and the market return is 14.8%. Assume you are considering the following investments: Investment Beta A 1.54 B 1.16 C 0.51 D 0.11 E 2.14 . a. Which investment is most risky? Least risky? b. Use the capital asset pricing model (CAPM) to find the required return on each of the investments. c. Find the security market line (SML), using your findings in part b. d. On the basis of your findings in part c, what relationship exists between risk and return? Explain.

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