You currently have $100,000 invested in aportfolio A that has an expected return of 12%and a volatility of 8%. Suppose the risk-freerate is 4%, and there is another portfolio Bthat has an expected return of 20% and avolatility of 12%. Is the portfolio A you holdnow efficient? If not, construct a portfolio thatoutperforms yours

This is a concept of Portfolio management where we need to compare different components to construct…

Answered: volatility of 12%. Is the portfolio A…

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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Assume that there is a portfolio with an E(r) =20% and σ = 30%. Also, the risk-free rate of return on T-Bills is 7%. If you are a risk-averse investor with degree of risk aversion A=4 would you invest in the risky portfolio or in the risk free asset? And what if your A=2? Assume that there is a portfolio with an E(r) =20% and σ = 30%. Also, the risk-free rate of return on T-Bills is 7%. If you are a risk-averse investor with degree of risk aversion A=4 would you invest in the risky portfolio or in the risk free asset? And what if your A=2?
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?
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%
Now assume that your portfolio only includes a risky asset, Asset C and a risk-free asset, Asset D. If the expected return on Asset D is 18%, the expected return on your po is 12% and the percentage of your wealth allocated to Asset C is 30%, what is the risk-free rate?
Consider a single factor APT. Portfolio A has a beta of 2.0 and an expected return of 22%. Portfolio B has a beta of 1.5 and an expected return of 17%. The risk-free rate of return is 4%. If you wanted to take advantage of an arbitrage opportunity, you should take a short position in portfolio __________ and a long position in portfolio _______. A. A; the riskless asset B. B; B C. A; A D. A; B E. B; A
Assume that there are two factors that price assets. Interest rate rf = 4%. You have thefollowing information about two well-diversified arbitrage-free risky portfolios. (a) Calculate the risk premium of the two risk factors. (b) There is a third well-diversified portfolio with β1 = 1.1 and β2 = 0.9. What is thisportfolio’s arbitrage free expected return? (c) Suppose the forecasted return of the portfolio in the question (b) is 13.5%. Show how youcould construct an arbitrage portfolio.
You currently have $100,000 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%. a. What portfolio has a higher expected return than your portfolio but with the same volatility? b. What portfolio has a lower volatility than your portfolio but with the same expected return?
You can invest in a portfolio of two assets: the riskfree asset with rate of return 6%, and a risky portfolio with expcected return 16% and stdev 30%. You optimally choose to invest equal amount in both assets. What is your risk aversion (keep 2 decimal places)? A=
Assume the APT equation for portfolios A and B with the following system of equations: E[rA] = λ0 + (λ1)3 + (λ2)0.2 = 11.0 E[rB] = λ0 + (λ1)2 + (λ2)1 = 13.0 Assume the following: . The risk free rate is λ0 = Rf = 5 . The expected return on the market portfolio is RM = 10 . Expected returns are consistent with the CAPM. . (hint: note that λ1 = E[RA] − Rf and λ2 = E[RB] − Rf ). Answer the following: (a) What are λ1 and λ2? (b) What is the CAPM β associated with the pure portfolio associated with factor 1? (c) What is the CAPM β associated with the pure portfolio associated with factor 2?
Suppose you have a portfolio that has $290 in stock A with a beta of 1.04, $1, 160 in stock B with a beta of1.34, and $870 in the risk-free asset. You have another $580 to invest. You wish to achieve a beta for yourwhole portfolio to be the same as the market beta. What is the beta of the added security?
he risk free rate is 3%. The optimal risky portfolio has an expected return of 9% and standarddeviation of 20%. (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?
You are told that the expected return of the market portfolio is 10%, and its standard deviation is 10%. There exists a risk-free asset in the economy. You hold an efficient portfolio with an expected return of 12% and a standard deviation of 15%. [hint: The efficient portfolio is a combination of the market portfolio and the risk-free asset.] (1) In forming this efficient portfolio do you borrow or lend? Support your answer with relevant calculations. (2) What is the risk-free rate?

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volatility of 12%. Is the portfolio A you hold now efficient? If not, construct a portfolio that outperforms yours