INVESTMENTS(LL)W/CONNECT
11th Edition
ISBN: 9781260433920
Author: Bodie
Publisher: McGraw-Hill Publishing Co.
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Question
Chapter 10, Problem 5PS
Summary Introduction
To select: Possibility of arbitrage opportunity and explain the strategy also.
Introduction : Arbitrage opportunity occurred when prices are different of different asset in different market. Thus to make profit in this situation, investor should buy assets in low price and sell them in high price. This will be possible due to fluctuation in prices.
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Consider the following data for a one-factor economy. All portfolios are assumed to be well diversified.
Portfolio. A. F
Expected return 12% 6%
Beta. 1.2 0.0
Suppose that another portfolio, portfolio E, is well diversified with a beta of 0.6 and expected return of 8%. Would an arbitrage opportunity exist? If so, what would be the arbitrage strategy? (Note: show what the percentage profit from arbitrage will be)
Suppose that you use Arbitrage Pricing Theory (APT) to evaluate well-diversified portfolios. The three factor portfolios used in an APT model, portfolios 1, 2, and 3, have expected returns E(r1) = 5%, E(r2) = 3%, and E(r3) = 8%. Suppose further that the risk-free rate (λ0) is 2%. Calculate the total return on a well- diversified portfolio with its beta on the first factor, βA1 = 1.1, beta on the second factor, βA2 = .9, and beta on the third factor, βA3 = 1.2.
We believe that the single factor model can predict any individual asset’s realized rate of return well. Both Portfolio A and Portfolio B are well-diversified: ri = E(ri) + βiF + Ei, where E(ei) = 0 and Cov(F, i) = 0
A
B
β
1.2
0.8
E(r)
0.1
0.08
(1) What is the rate of return of the risk-free asset?
(2) What is the expected rate of return of the well-diversified portfolio C with βC = 1.6, which also exists in the market?
(3) A fund constructs a well-diversified portfolio D. Studies show that βD = 0.6. The expected rate of return of D is 0.06. Is there an arbitrage opportunity? If so, construct a trading strategy to earn profits with no risk. If not, why?
Chapter 10 Solutions
INVESTMENTS(LL)W/CONNECT
Ch. 10 - Prob. 1PSCh. 10 - Prob. 2PSCh. 10 - Prob. 3PSCh. 10 - Prob. 4PSCh. 10 - Prob. 5PSCh. 10 - Prob. 6PSCh. 10 - Prob. 7PSCh. 10 - Prob. 8PSCh. 10 - Prob. 9PSCh. 10 - Prob. 10PS
Ch. 10 - Prob. 11PSCh. 10 - Prob. 12PSCh. 10 - Prob. 13PSCh. 10 - Prob. 14PSCh. 10 - Prob. 15PSCh. 10 - Prob. 16PSCh. 10 - Prob. 17PSCh. 10 - Prob. 18PSCh. 10 - Prob. 19PSCh. 10 - Prob. 1CPCh. 10 - Prob. 2CPCh. 10 - Prob. 3CPCh. 10 - Prob. 4CPCh. 10 - Prob. 5CPCh. 10 - Prob. 6CPCh. 10 - Prob. 7CPCh. 10 - Prob. 8CP
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