Consider a two-factor APT. The expected return on the factor-1 portfolio is 8%. The expected return on the factor-2 portfolio is 10%. The risk-free rate is 4%. Portfolio A has a beta of 0.75 with respect to the first factor and a beta of 1.5 with respect to the second factor and its expected return is 15% Which of the following is the correct arbitrage strategy? O a. Invest $75,000 in factor portfolio 1, invest $150,000 in factor portfolio 2, short-sell $125,000 of the risk-free asset and short-sell $100,000 of portfolio A O b. Short-sell $75,000 of factor portfolio 1, short-sell $150,000 of factor portfolio 2, invest $125,000 in the risk-free asset, invest $100,000 in portfolio A O C. Invest $150,000 in factor portfolio 1, invest $75,000 in factor portfolio 2, short-sell $125,000 of the risk-free asset, short-sell $100,000 of portfolio A

Consider a two-factor APT. The expected return on the factor-1 portfolio is 8%. The expected return on the factor-2 portfolio is 10%. The risk-free rate is 4%. Portfolio A has a beta of 0.75 with respect to the first factor and a beta of 1.5 with respect to the second factor and its expected return is 15% Which of the following is the correct arbitrage strategy? O a. Invest $75,000 in factor portfolio 1, invest $150,000 in factor portfolio 2, short-sell $125,000 of the risk-free asset and short-sell $100,000 of portfolio A O b. Short-sell $75,000 of factor portfolio 1, short-sell $150,000 of factor portfolio 2, invest $125,000 in the risk-free asset, invest $100,000 in portfolio A O C. Invest $150,000 in factor portfolio 1, invest $75,000 in factor portfolio 2, short-sell $125,000 of the risk-free asset, short-sell $100,000 of 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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In this problem we assume that the annual expected rate of return of the market portfolio is 22% and the annual risk-free rate is 2%. The standard deviation of the market portfolio returns is 22%. Assume the market is in equilibrium such that the Capital Asset Pricing Model (CAPM) holds: the market portfolio is efficient. If you have $1,000 to invest, how should you allocate it to achieve an annual expected return of 26%? Invest $260 in the risk-free asset and $740 in the market portfolio Invest $800 in the risk-free asset and $200 in the market portfolio Invest $1,200 in the risk-free asset and sell short $200 in the market portfolio Borrow $260 at the risk-free rate and invest $1,260 in the market portfolio Invest $200 in the risk-free asset and $800 in the market portfolio Borrow $200 at the risk-free rate and invest $1,200 in the market portfolio
Given the current risk-free rate is 9% and the market return is 12%. TI Investment Beta A 0.65 1.12 C 0.87 1.19 E 0.56 Calculate the required rate of return for each of the investments by using the Capital Asset Pricing Model (CAPM). ii. i. If you invest an equal amount in each investment, what is the portfolio beta?
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?
Suppose the expected return on the tangent portfolio is 10% and its volatility is 40%.The risk-free rate is 2%.(a) What is the equation of the Capital Market Line (CML)?(b) What is the standard deviation of an efficient portfolio whose expected return of8%? How would you allocate $1,000 to achieve this position
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
Please help me answer this question in Excel Form 2. The risk-free rate is 4%, and the required return on the market is 12%. b. A portfolio invests 40% in the asset in (a) and the rest in a market portfolio. What is the required return on this portfolio? Thanks :)
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?
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
Consider a risky portfolio. The end-of-year cash flow derived from the portfolio will be either $70,000 or $195,000, with equal probabilities of 0.5. The alternative riskless investment in T-bills pays 4%. Required: a. If you require a risk premium of 8%, how much will you be willing to pay for the portfolio? (Round your answer to the nearest dollar amount.) Value of the Portfolio b. Suppose the portfolio can be purchased for the amount you found in (a). What will the expected rate of return on the portfolio be? (Do not round intermediate calculations. Round your answer to the nearest whole percent.) Rate of return % c. Now suppose you require a risk premium of 11%. What is the price you will be willing to pay now? (Round your answer to the nearest dollar amount.) Value of the portfolio
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
Consider a risky portfolio. The end-of-year cash flow derived from the portfolio will be either $70,000 or $200,000 with equal probabilities of .5. The alternative risk-free investment in T-bills pays 6% per year.a. If you require a risk premium of 8%, how much will you be willing to pay for the portfolio?b. Suppose that the portfolio can be purchased for the amount you found in (a). What will be the expected rate of return on the portfolio?c. Now suppose that you require a risk premium of 12%. What is the price that you will be willing to pay?d. Comparing your answers to (a) and (c), what do you conclude about the relationship between the required risk premium on a portfolio and the price at which the portfolio will sell?
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

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