Consider the single factor APT. Portfolio A has a beta of 1.7 and an expected return of 21%. Portfolio B has a beta of .5 and an expected return of 17%. The risk-free rate of return is 11%. If you wanted to take advantage of an arbitrage opportunity, you should take a short

Consider the single factor APT. Portfolio A has a beta of 1.7 and an expected return of 21%. Portfolio B has a beta of .5 and an expected return of 17%. The risk-free rate of return is 11%. If you wanted to take advantage of an arbitrage opportunity, you should take a short

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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Consider the single factor APT. Portfolio A has
a beta of 1.7 and an expected return of 21%.
Portfolio B has a beta of .5 and an expected
return of 17%. The risk-free rate of return is 11%.
If you wanted to take advantage of an
arbitrage opportunity, you should take a short
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Conglomco has a beta of 0.32. If the market return is expected to be 12 percent and the risk-free rate is 5 percent, what is Conglomco's required return? Use the capital asset pricing model (CAPM) to calculate Conglomco's required return.
Use the basic equation for the CAPM to rework each of the following problems for above case. Case A) Find the required return for an asset with a beta of 0.9 when the risk-free rate and market return are 8% and 12% respectively. Case B) Find the risk-free rate for a firm with a required return of 15% and a beta of 1.25 when the market return is 14%. Case C) Find the market return for an asset with a required return of 16% and a beta of 1.1 when the risk-free rate is 9%. Case D) Find the beta for an asset with a required return of 15% when the risk-free rate and market return are 10% and 12.5% respectively.
Asset X has an expected return of 10% and volatility of 10% . If its Sharpe Ratio is 0.60, what is the risk-free rate?
Consider an economy with a (net) risk-free return r1 = 0:1 and a market portfolio with normally distributed return, with ErM = 0:2 and 2M = 0:02. Suppose investor A has CARA preferences, with risk aversion coe¢ cient equal to 1 and an endowment of 10. a) Write down the maximization problem for the investor. b) Determine the amount invested in the risky portfolio and in the risk-free asset. c) Suppose another investor (B) has a coe¢ cient of absolute risk aversion equal to 2 (and the same endowment 10). Compute his optimal portfolio and compare it to that of investor A. Explain the di§erent results for investors A and B. d) Finally, consider Investor C with mean-variance preferences Ec V ar(c) (and endowment 10). Compute his optimal portfolio and compare it to that of investors A and B (as obtained in questions b and c). Compare your result with those obtained for investors A and B.
from the table below. Assuming the risk- free rate is 5%. A. Choose the best portfolio according to the Sharpe measure with explanation. B. Choose the best portfolio according to the Treynor measure with explanation. C. Choose the best portfolio according to the Jensen measure with explanation. Portfolio A 0.1 0.1 0.11 0.11 0.12 0.12 0.13 0.14 0.14 0.18 0.16 0.18 0.17 0.18 0.18 0.18 0.18 0.17 0.17 0.18 Portfolio B 0.12 0.12 0.16 0.2 0.14 0.16 0.17 0.14 0.18 0.2 0.18 0.16 0.17 0.2 0.22 0.22 0.18 0.2 0.24 0.24 Mraket M 0.09 0.09 0.1 0.1 0.11 0.11 0.11 0.12 0.12 0.13 0.12 0.14 0.12 0.14 0.13 0.13 0.13 0.14 0.14 0.13
Suppose the risk free return is 6%. The beta of a managed portfolio is 1.5, the alpha is 3%, and the average return is 18%. Based on Jensen's measure of portfolio performance, you would calculate the return on the market portfolio as ___ % ?
No excel please. Show formulas and step-by-step. Please answer fast i give you upvote.
Suppose the risk-free return is 2% and the return on the market is 10%. The beta of a managed portfolio is 1.5, and the average realized return is 13%. According to the CAPM, Jensen’s alpha of the managed portfolio is: A) –1% B) 0% C) 1% D) 2% E) none of the above
Suppose the market premium is 12%, market volatility is 20% and the risk-free rate is 6%. Suppose a security has a beta of 0.8. Using the CAPM, what is its expected return?
Asset B has a beta of 1.2 and an expected return of 16%. The risk-free rate is 4%. If you wish to hold a portfolio with a beta equal to 1.0, what is the expected return of the portfolio? 13.0% 10.0 % 15.0 % 12.0% 14.0%
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Consider a one-period model with N = {1,2,3} and two risky assets S1, S2 whose with current prices are 71 = 42 and 12 = 23 respectively. At time one, the price of S1 is believed to be either 44, 43, or 40 while the price of S2 is believed to be either 27, 22, or 20. Suppose that the risk-free interest rate is 3%. What is the unique risk-neutral probability measure Q in this situation? Select one: О а. Q(1) — 0.35, Q(2) — 0.27, Q(3) — 0.38 O b. Q(1) = 0.63, Q(2) = 0.34, Q(3) = 0.03 Ос. Q(1) — 0.25, Q(2) — 0.62, Q(3) — 0.13 O d. Q(1) = 0.35, Q(2) = 0.62, Q(3) = 0.03

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