INVESTMENTS(LL)W/CONNECT
11th Edition
ISBN: 9781260433920
Author: Bodie
Publisher: McGraw-Hill Publishing Co.
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Chapter 10, Problem 4PS
Summary Introduction
To calculate: Establish a relation between beta value and return value.
Introduction: The value of return is sum of the product of the beta value and return value of particular portfolio. There is a direct relation between return and beta when market return is positive and inversely when market return is negative.
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Assume that both portfolios A and B are well diversified, that E(rA) = 12%, and E(rB) = 9%. If the economy has only one factor, and βA = 1.2, whereas βB = .8, what must be the risk-free rate?
Consider a single-index model economy. The index portfolio M has E(RM ) = 6%, σM = 18%.An individual asset i has an estimate of βi = 1.1 and σ2ei = 0.0225 using the single index modelRi = αi + βiRM + ei. The forecast of asset i’s return is E(ri) = 12%. rf = 4%.
a) According to asset i’s return forecast, calculate αi.
(b) Calculate the optimal weight of combining asset i and the index portfolio M .
(c) Calculate the Sharpe ratio of the index portfolio M and the portfolio optimally combiningasset i and the index portfolio M .
According to CAPM, the expected rate of return of a portfolio with a beta of 1.0 and an alpha of 0 is:a. Between rM and rf .b. The risk-free rate, rf .c. β(rM − rf).d. The expected return on the market, rM.
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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