Entropic Data Envelopment Analysis: A Diversification Approach for Portfolio Optimization

Recently, different methods have been proposed for portfolio optimization and decision making on investment issues. This article aims to present a new method for portfolio formation based on Data Envelopment Analysis (DEA) and Entropy function. This new portfolio optimization method applies DEA in a...

Full description

Bibliographic Details
Main Authors: Paulo Rotela Junior, Luiz Célio Souza Rocha, Giancarlo Aquila, Pedro Paulo Balestrassi, Rogério Santana Peruchi, Liviam Soares Lacerda
Format: Article
Language:English
Published: MDPI AG 2017-09-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/19/9/352
_version_ 1817989626832355328
author Paulo Rotela Junior
Luiz Célio Souza Rocha
Giancarlo Aquila
Pedro Paulo Balestrassi
Rogério Santana Peruchi
Liviam Soares Lacerda
author_facet Paulo Rotela Junior
Luiz Célio Souza Rocha
Giancarlo Aquila
Pedro Paulo Balestrassi
Rogério Santana Peruchi
Liviam Soares Lacerda
author_sort Paulo Rotela Junior
collection DOAJ
description Recently, different methods have been proposed for portfolio optimization and decision making on investment issues. This article aims to present a new method for portfolio formation based on Data Envelopment Analysis (DEA) and Entropy function. This new portfolio optimization method applies DEA in association with a model resulting from the insertion of the Entropy function directly into the optimization procedure. First, the DEA model was applied to perform a pre-selection of the assets. Then, assets given as efficient were submitted to the proposed model, resulting from the insertion of the Entropy function into the simplified Sharpe’s portfolio optimization model. As a result, an improved asset participation was provided in the portfolio. In the DEA model, several variables were evaluated and a low value of beta was achieved, guaranteeing greater robustness to the portfolio. Entropy function has provided not only greater diversity but also more feasible asset allocation. Additionally, the proposed method has obtained a better portfolio performance, measured by the Sharpe Ratio, in relation to the comparative methods.
first_indexed 2024-04-14T00:48:43Z
format Article
id doaj.art-44bdefdeea2c459598e9b8b3fbb96649
institution Directory Open Access Journal
issn 1099-4300
language English
last_indexed 2024-04-14T00:48:43Z
publishDate 2017-09-01
publisher MDPI AG
record_format Article
series Entropy
spelling doaj.art-44bdefdeea2c459598e9b8b3fbb966492022-12-22T02:21:52ZengMDPI AGEntropy1099-43002017-09-0119935210.3390/e19090352e19090352Entropic Data Envelopment Analysis: A Diversification Approach for Portfolio OptimizationPaulo Rotela Junior0Luiz Célio Souza Rocha1Giancarlo Aquila2Pedro Paulo Balestrassi3Rogério Santana Peruchi4Liviam Soares Lacerda5Production Engineering Department, Universidade Federal da Paraíba, João Pessoa 58051-900, PB, BrazilInstitute of Production Engineering and Management, Universidade Federal de Itajubá, Itajubá 37500-903, MG, BrazilInstitute of Production Engineering and Management, Universidade Federal de Itajubá, Itajubá 37500-903, MG, BrazilInstitute of Production Engineering and Management, Universidade Federal de Itajubá, Itajubá 37500-903, MG, BrazilProduction Engineering Department, Universidade Federal da Paraíba, João Pessoa 58051-900, PB, BrazilProduction Engineering Department, Universidade Federal da Paraíba, João Pessoa 58051-900, PB, BrazilRecently, different methods have been proposed for portfolio optimization and decision making on investment issues. This article aims to present a new method for portfolio formation based on Data Envelopment Analysis (DEA) and Entropy function. This new portfolio optimization method applies DEA in association with a model resulting from the insertion of the Entropy function directly into the optimization procedure. First, the DEA model was applied to perform a pre-selection of the assets. Then, assets given as efficient were submitted to the proposed model, resulting from the insertion of the Entropy function into the simplified Sharpe’s portfolio optimization model. As a result, an improved asset participation was provided in the portfolio. In the DEA model, several variables were evaluated and a low value of beta was achieved, guaranteeing greater robustness to the portfolio. Entropy function has provided not only greater diversity but also more feasible asset allocation. Additionally, the proposed method has obtained a better portfolio performance, measured by the Sharpe Ratio, in relation to the comparative methods.https://www.mdpi.com/1099-4300/19/9/352entropydiversificationData Envelopment Analysisportfolios
spellingShingle Paulo Rotela Junior
Luiz Célio Souza Rocha
Giancarlo Aquila
Pedro Paulo Balestrassi
Rogério Santana Peruchi
Liviam Soares Lacerda
Entropic Data Envelopment Analysis: A Diversification Approach for Portfolio Optimization
Entropy
entropy
diversification
Data Envelopment Analysis
portfolios
title Entropic Data Envelopment Analysis: A Diversification Approach for Portfolio Optimization
title_full Entropic Data Envelopment Analysis: A Diversification Approach for Portfolio Optimization
title_fullStr Entropic Data Envelopment Analysis: A Diversification Approach for Portfolio Optimization
title_full_unstemmed Entropic Data Envelopment Analysis: A Diversification Approach for Portfolio Optimization
title_short Entropic Data Envelopment Analysis: A Diversification Approach for Portfolio Optimization
title_sort entropic data envelopment analysis a diversification approach for portfolio optimization
topic entropy
diversification
Data Envelopment Analysis
portfolios
url https://www.mdpi.com/1099-4300/19/9/352
work_keys_str_mv AT paulorotelajunior entropicdataenvelopmentanalysisadiversificationapproachforportfoliooptimization
AT luizceliosouzarocha entropicdataenvelopmentanalysisadiversificationapproachforportfoliooptimization
AT giancarloaquila entropicdataenvelopmentanalysisadiversificationapproachforportfoliooptimization
AT pedropaulobalestrassi entropicdataenvelopmentanalysisadiversificationapproachforportfoliooptimization
AT rogeriosantanaperuchi entropicdataenvelopmentanalysisadiversificationapproachforportfoliooptimization
AT liviamsoareslacerda entropicdataenvelopmentanalysisadiversificationapproachforportfoliooptimization