Investments
Investments
11th Edition
ISBN: 9781259277177
Author: Zvi Bodie Professor, Alex Kane, Alan J. Marcus Professor
Publisher: McGraw-Hill Education
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Chapter 8, Problem 5PS

A

Summary Introduction

To calculate: The number of estimates of variances, co-variances and expected returns that are required to optimize the given portfolio.

Introduction: Portfolio Management allows investors to benefit from their investments through proper allocation of securities and making the right mixture.

B

Summary Introduction

To calculate: The number of estimates needed, in order to, assumes in a safe manner that stock market returns are in close similarity with the single-index structure.

Introduction: Single Index model is a simple asset pricing model that measures both the risk and returns of any given stock.

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A portfolio management organization analyzes 60 stocks and constructs a mean-variance efficient portfolio using only these 60 securities.a. How many estimates of expected returns, variances, and covariances are needed to optimize this portfolio?b. If one could safely assume that stock market returns closely resemble a single-index structure, how many estimates would be needed?
A portfolio management organization analyzes 72 stocks and constructs a mean-variance efficient portfolio that is constrained to these 72 stocks. How many estimates of expected returns, variances and covariances are needed to optimize this portfolio? (Using Markowitz Model)
A portfolio management organisation analyses 200 stocks and constructs a mean- variance efficient portfolio using only 150 out of those 200 securities. (i) how many estimates of expected returns, variances and covariances are needed to optimise this portfolio? (ii) If one could safely assume that stock market returns closely resemble a single-index structure, how many estimates would be needed? In light of your answer to the above questions, discuss the advantages and disadvantages of the index model compared to the Markowitz procedure for obtaining an efficient diversified portfolio.
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