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Elton , Gruber , Brown and Goetzmann. Elton , Gruber , Brown and Goetzmann 1. Using the equilibrium portfolios A, B and C in Problem 1 and recalling. Elton , Gruber , Brown and Goetzmann 2. Since they have the same risk factor. This will create a self-financing zero net. We need to short sell either portfolio D or E. The question is: which portfolio do we short and which do. Since both portfolios have the same risk and since portfolio E has a. But since portfolio E consists of a weighted average of portfolios A, B and C,.

Elton , Gruber , Brown and Goetzmann 3. Using the equilibrium portfolios A, B and C in Problem 3 and recalling. Elton , Gruber , Brown and Goetzmann 4.

We need to short sell either portfolio D or E and go long in the other. The question. Since both portfolios. Elton , Gruber , Brown and Goetzmann 5.

Elton , Gruber , Brown and Goetzmann 6. B and C, since the arbitrage with portfolio D can be accomplished using other.

Given the data in the problem and in Table Elton , Gruber , Brown and Goetzmann 7. There are many ways to solve a set of simultaneous linear equations. One method is shown below. Subtract equation a from equation b : 1. The first step is to use portfolios in equilibrium to create a replicating equilibrium investment portfolio, call it portfolio E, that has the same factor loadings risk as portfolio D.

Since they have the same risk factor loadings , we can create an arbitrage portfolio, combining the two portfolios by going long in one and shorting the other. This will create a self-financing zero net investment portfolio with zero risk: an arbitrage portfolio. In equilibrium, an arbitrage portfolio has an expected return of zero, but since portfolio D is not in equilibrium, neither is the arbitrage portfolio containing D and E, and an arbitrage profit may be made.

The question is: which portfolio do we short and which do we go long in? There is no reason to expect any price effects on portfolios A, B and C, since the arbitrage with portfolio D can be accomplished using other assets on the equilibrium APT plane.

Chapter Problem 3 From the text we know that three points determine a plane. Chapter Problem 6 A. Assuming all three portfolios in Problem 1 are in equilibrium, then we can use any one of them to find the risk-free rate. Short-link Link Embed. Share from cover. Share from page:. More magazines by this user. Close Flag as Inappropriate. You have already flagged this document. Thank you, for helping us keep this platform clean. The editors will have a look at it as soon as possible.

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## Modern portfolio theory and investment analysis

The cookie settings on this website are set to 'allow all cookies' to give you the very best experience. Please click Accept Cookies to continue to use the site. Pair B The entire line is the efficient set. Pair D The efficient set is the positively sloped line segment. Pair F The efficient set is the positively sloped part of the curve, starting at the GMV portfolio and ending at security 3. Short Selling Allowed Note that the answers to part B. In the no-short-sales case in Part A.

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## Modern Portfolio Theory and Investment Analysis, 6th Edition

Elton , Gruber , Brown and Goetzmann. Elton , Gruber , Brown and Goetzmann 1. Using the equilibrium portfolios A, B and C in Problem 1 and recalling. Elton , Gruber , Brown and Goetzmann 2. Since they have the same risk factor. This will create a self-financing zero net. We need to short sell either portfolio D or E.

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## Modern Portfolio Theory and Investment Analysis, 9th Edition

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