EBK INVESTMENTS
EBK INVESTMENTS
11th Edition
ISBN: 9781259357480
Author: Bodie
Publisher: MCGRAW HILL BOOK COMPANY
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Chapter 10, Problem 17PS
Summary Introduction

To define: Various weighting schemes which will generate well-diversified portfolios.

Introduction:

Well-diversified portfolios: Well-diversified portfolios are portfolios that are constructed with a combination of various securities such as stocks, fixed income, and commodities. When the weight of any of such securities is calculated, it will always be small. Systematic risk is the type of risk found in well-diversified portfolios.

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Assume that security returns are generated by the single-index model,   Ri = αi + βiRM + ei where Ri is the excess return for security i and RM is the market’s excess return. The risk-free rate is 3%. Suppose also that there are three securities A, B, and C, characterized by the following data:   Security βi E(Ri) σ(ei) A 1.4 14 % 23 % B 1.6 16   14   C 1.8 18   17       a. If σM = 22%, calculate the variance of returns of securities A, B, and C.   b. Now assume that there are an infinite number of assets with return characteristics identical to those of A, B, and C, respectively. What will be the mean and variance of excess returns for securities A, B, and C? (Enter the variance answers as a percent squared and mean as a percentage. Do not round intermediate calculations. Round your answers to the nearest whole number.)
Assume that security returns are generated by the single-index model,  Ri = alphai + BetaiRM + ei where Ri is the excess return for security i and RM is the market's excess return. The risk-free rate is 2%. Suppose also that there are three securities A, B, and C, characterized by the following data.  Security Betai E(Ri) sigma(ei) A 1.4 15% 28% B 1.6 17% 14% C 1.8 19% 23% a. If simaM = 24%, calculate the variance of returns of securities A, B, and C (round to whole number).    Variance Security A   Security B   Security C   b. Now assume that there are an infinite number of assets with return characteristics identical to those of A, B, and C, respectively. What will be the mean and variance of excess returns for securities A, B, and C (enter the variance answers as a whole number decimal and the mean as a whole number percentage)?   Mean Variance Security A ?%   Security B ?%   Security C ?%
Assume that security returns are generated by the single-index model,Ri = αi + βiRM + eiwhere Ri is the excess return for security i and RM is the market’s excess return. The risk-free rate is 2%. Suppose also that there are three securities A, B, and C, characterized by the following data:  Security βi E(Ri) σ(ei) A 0.7 7 % 20 % B 0.9 9   6   C 1.1 11   15     a. If σM = 16%, calculate the variance of returns of securities A, B, and C.   b. Now assume that there are an infinite number of assets with return characteristics identical to those of A, B, and C, respectively. What will be the mean and variance of excess returns for securities A, B, and C? (Enter the variance answers as a percent squared and mean as a percentage. Do not round intermediate calculations. Round your answers to the nearest whole number.)
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