An Artificial Bee Colony Algorithm for Uncertain Portfolio Selection

Portfolio selection is an important issue for researchers and practitioners. In this paper, under the assumption that security returns are given by experts’ evaluations rather than historical data, we discuss the portfolio adjusting problem which takes transaction costs and diversification degree of...

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Main Author: Wei Chen
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2014/578182
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author Wei Chen
author_facet Wei Chen
author_sort Wei Chen
collection DOAJ
description Portfolio selection is an important issue for researchers and practitioners. In this paper, under the assumption that security returns are given by experts’ evaluations rather than historical data, we discuss the portfolio adjusting problem which takes transaction costs and diversification degree of portfolio into consideration. Uncertain variables are employed to describe the security returns. In the proposed mean-variance-entropy model, the uncertain mean value of the return is used to measure investment return, the uncertain variance of the return is used to measure investment risk, and the entropy is used to measure diversification degree of portfolio. In order to solve the proposed model, a modified artificial bee colony (ABC) algorithm is designed. Finally, a numerical example is given to illustrate the modelling idea and the effectiveness of the proposed algorithm.
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institution Kabale University
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language English
publishDate 2014-01-01
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spelling doaj-art-238c67d1490e4cde9bfe34d99dc0c8a32025-02-03T01:26:09ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/578182578182An Artificial Bee Colony Algorithm for Uncertain Portfolio SelectionWei Chen0School of Information, Capital University of Economics and Business, Beijing 100070, ChinaPortfolio selection is an important issue for researchers and practitioners. In this paper, under the assumption that security returns are given by experts’ evaluations rather than historical data, we discuss the portfolio adjusting problem which takes transaction costs and diversification degree of portfolio into consideration. Uncertain variables are employed to describe the security returns. In the proposed mean-variance-entropy model, the uncertain mean value of the return is used to measure investment return, the uncertain variance of the return is used to measure investment risk, and the entropy is used to measure diversification degree of portfolio. In order to solve the proposed model, a modified artificial bee colony (ABC) algorithm is designed. Finally, a numerical example is given to illustrate the modelling idea and the effectiveness of the proposed algorithm.http://dx.doi.org/10.1155/2014/578182
spellingShingle Wei Chen
An Artificial Bee Colony Algorithm for Uncertain Portfolio Selection
The Scientific World Journal
title An Artificial Bee Colony Algorithm for Uncertain Portfolio Selection
title_full An Artificial Bee Colony Algorithm for Uncertain Portfolio Selection
title_fullStr An Artificial Bee Colony Algorithm for Uncertain Portfolio Selection
title_full_unstemmed An Artificial Bee Colony Algorithm for Uncertain Portfolio Selection
title_short An Artificial Bee Colony Algorithm for Uncertain Portfolio Selection
title_sort artificial bee colony algorithm for uncertain portfolio selection
url http://dx.doi.org/10.1155/2014/578182
work_keys_str_mv AT weichen anartificialbeecolonyalgorithmforuncertainportfolioselection
AT weichen artificialbeecolonyalgorithmforuncertainportfolioselection