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.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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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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