Suppose the total risk of Portfolios A, B and C are 49%, 64% and 100% respectively. The market price of risk is 8%. The Market Portfolio (M) has an expected return and a total risk of 11% and 100% respectively. (a) You want to form another Portfolio H by investing $7,000 in Portfolio A and $3,000 in Portfolio B. Compute the standard deviation of Portfolio H if the correlation coefficient between Portfolio A and Portfolio B is: i) perfectly positively correlated ii) uncorrelated iii) perfectly negatively correlated (b) If the expected return of Portfolio C is 9.4% and it is lying on the Securities Market Line, what is the beta of Portfolio C? State the answer in %². (c) Is Portfolio C a Market Portfolio as it has same level of total risk (i.e. 100% 2) as the Market Portfolio? Why or Why not?

Suppose the total risk of Portfolios A, B and C are 49%, 64% and 100% respectively. The market price of risk is 8%. The Market Portfolio (M) has an expected return and a total risk of 11% and 100% respectively. (a) You want to form another Portfolio H by investing $7,000 in Portfolio A and $3,000 in Portfolio B. Compute the standard deviation of Portfolio H if the correlation coefficient between Portfolio A and Portfolio B is: i) perfectly positively correlated ii) uncorrelated iii) perfectly negatively correlated (b) If the expected return of Portfolio C is 9.4% and it is lying on the Securities Market Line, what is the beta of Portfolio C? State the answer in %². (c) Is Portfolio C a Market Portfolio as it has same level of total risk (i.e. 100% 2) as the Market Portfolio? Why or Why not?

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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The expected return of a portfolio that is totally invested in the risk free asset is caclculated as: E(R) = WA * E(RA) Wf * E(RB) = 0 * 0.16 1.0 * 0.08 = 0 0.08 = 0.08 or 8% Therefore the expected return of a portfolio with risk free asset is 8% There is no standard deviation for the risk free asset. Please full Explain
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?
Consider the multifactor model APT with three factors. Portfolio A has a beta of 0.8 on factor 1, a beta of 1.1 on factor 2, and a beta of 1.25 on factor 3. The risk premiums on the factor 1, factor 2, and factor 3 are 3%, 5%, and 2%, respectively. The risk-free rate of return is 3%. The expected return on portfolio A is __________ if no arbitrage opportunities exist. A. 23.0% B. 16.5% C. 13.4% D. 13.5%
You manage a risky portfolio with an expected rate of return of 19% and a standard deviation of 34%. The T-bill rate is 8%. 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 19%. a. What is the investment proportion, y? (Round your answer to 2 decimal places.) Investment proportion y b. What is the expected rate of return on the complete portfolio? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Rate of return % %
Using the table below, calculate the Sharpe ratio of a portfolio with 80% allocated to security A and 20% allocated to security C. Assume a 3% risk-free rate. Hint: your text also calls the Sharpe ratio the reward-to- variability ratio. Time A, % В, % C, % D, % Mkt, % 1 18.56 18.23 12.82 12.43 14.48 15.27 18.24 -5.82 13.45 5.99 14.12 14.71 12.58 4.32 12.41 4. -1.57 -6.56 -7.43 -8.54 4.48 13.16 9.12 12.45 12.21 13.41 21.22 6.34 17.54 12.12 18.76 7 -3.45 -6.12 -4.62 -8.85 12.12 O 0.79 O 0.53 0.74 0.68 5. 6.
You are given the following information concerning three portfolios, the market portfolio, and the risk- free asset: Portfolio X Y Z Market Risk-free Rp 14.5% R-squared 13.5 9.1 10.7 5.4 op 36% 31 21 26 0 6p 1.60 1.30 .80 1.00 0 Assume that the correlation of returns on Portfolio Y to returns on the market is 72. What percentage of Portfolio Y's return is driven by the market? (Enter your answer as a decimal not a percentage. Round your answer to 4 decimal places.)
answer must be correct
Consider a risky portfolio, A, with an expected rate of return of 0.15 and a standard deviation of 0.15, that lies on a given indifference curve. Which one of the following portfolios might lie on the same indifference curve? A. E(r) = 0.15; Standard deviation = 0.20 B. E(r) = 0.20; Standard deviation = 0.15 C. E(r) = 0.10; Standard deviation = 0.10 D. E(r) = 0.10; Standard deviation = 0.20 E. E(r) = 0.15; Standard deviation = 0.10
The beta on risky asset A is 1.8 and the beta on risky asset Bis 1.1. The expected return on the market portfolio is 10% and the risk free rate of return is 4%. Consider a portfolio comprising the two riskypssets and the risk-free asset where you invest 50% in risky asset A and 30% in risky asset B. What is (i) the beta of a portfolio and fi) the expected return of the portfolio? Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a None of the above b. (i) 0.97 and (ii) 9.829% (1) 1.23 and (ii) 9.8296 (1) 1.23 and (ii) 11.38% ) 0.97 and (ii) 11.38% e
You manage a risky portfolio with an expected rate of return of 18% and a standard deviation of 29%. The T-bill rate is 5%. 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 18%. a. What is the investment proportion, y? (Round your answer to 2 decimal places.) Investment proportion y % b. What is the expected rate of return on the complete portfolio? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Rate of return %
Assume I am holding a portfolio of two risky assets with standard deviations of 1. Assume also that I am holding the minimum variance portfolio of these two assets. I do not know the correlation of these assets but I do know that it's not equal to one. Which of the below statements is true based on the information above? O Portfolio's standard deviation is equal to 1/2. Portfolio's return is equal to 1/2. O Portfolio weights of the two assets are equal to 1/2. None of the above statements is true. Portfolio's Sharpe ratio is equal to 1/2.
A portfolio that combines the risk-free asset and the market portfolio has an expected return of 6.4 percent and a standard deviation of 9.4 percent. The risk-free rate is 3.4 percent, and the expected return on the market portfolio is 11.4 percent. Assume the capital asset pricing model holds. What expected rate of return would a security earn if it had a .39 correlation with the market portfolio and a standard deviation of 54.4 percent? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)

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