The Optimal Selection of Small Portfolios

Portfolios that are risk-return efficient in the sense of Markowitz sometimes contain too many securities to be attractive to the small investor. An optimal portfolio subject to a size constraint can be found by an implicit enumeration algorithm, that is much faster than a previous approach and more...

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Bibliographic Details
Published in:Management science Vol. 29; no. 7; pp. 792 - 798
Main Authors: Blog, B, van der Hoek, G, Rinnooy Kan, A. H. G, Timmer, G. T
Format: Journal Article
Language:English
Published: Linthicum INFORMS 01.07.1983
Institute of Management Sciences
Institute for Operations Research and the Management Sciences
Series:Management Science
Subjects:
Algorithms
Coefficients
Computation
Dynamic programming
Enumeration
Financial portfolios
Financial securities
Heuristic
implicit enumeration
Integers
Investment policy
Investors
Lexicography
Markowitz efficiency
Mathematical models
negative \beta -coefficients
negative β-coefficients
Portfolio investments
Portfolios
Quadratic programming
Securities
Security portfolios
ISSN:0025-1909, 1526-5501
Online Access:Get full text
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Summary:Portfolios that are risk-return efficient in the sense of Markowitz sometimes contain too many securities to be attractive to the small investor. An optimal portfolio subject to a size constraint can be found by an implicit enumeration algorithm, that is much faster than a previous approach and moreover allows the inclusion of securities whose β-coefficient is negative. A simple and computationally very efficient heuristic method that almost always produces optimal portfolios is described as well.
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ISSN:0025-1909
1526-5501
DOI:10.1287/mnsc.29.7.792