Multi-period and multi-objective stock portfolio modeling considering cone constraints

Nowadays, one of the major concerns of investors is choosing a realistic stock portfolio and making proper decisions according to an individual's utility level. It is essential to consider two conflicting goals of return and risk for profitability; as a result, balancing the above goals has bee...

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Main Authors: Masoomeh Zeinalnezhad, Zohreh Ebrahimi, Towhid Pourrostam
Format: Article
Language:English
Published: Ayandegan Institute of Higher Education, 2025-03-01
Series:International Journal of Research in Industrial Engineering
Subjects:
Online Access:https://www.riejournal.com/article_202215_ee83dc829f577f994dd20dbbe84dad48.pdf
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author Masoomeh Zeinalnezhad
Zohreh Ebrahimi
Towhid Pourrostam
author_facet Masoomeh Zeinalnezhad
Zohreh Ebrahimi
Towhid Pourrostam
author_sort Masoomeh Zeinalnezhad
collection DOAJ
description Nowadays, one of the major concerns of investors is choosing a realistic stock portfolio and making proper decisions according to an individual's utility level. It is essential to consider two conflicting goals of return and risk for profitability; as a result, balancing the above goals has been identified as an investment concern. This paper modifies and optimizes a multi-objective and multi-period stock portfolio considering cone constraints and uncertain and stochastic discrete decisions. Non-dominated Sorting Genetic Algorithm-II (NSGA-II) was used to solve the model due to the issue's complexity. Two objective functions in the model could be explained by maximizing expected returns and minimizing investment risk. The Pareto chart of the problem was drawn, which allows investors to make decisions based on various levels of risk. Another result obtained in this study is calculating the percentage of optimal amounts assigned to each asset, providing a base for investors to avert investing in unsuitable assets and incurring losses. Finally, a sensitivity analysis of essential parameters was performed, which is critical in this issue. According to the results, increasing the number of problem constraints provides a base for the model reaction, and the optimal percentage allocated to each asset varies. Therefore, this prioritizes restrictions in different situations and according to the investors' choice.
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publishDate 2025-03-01
publisher Ayandegan Institute of Higher Education,
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spelling doaj-art-7882d36633f34aaabca669aa603944be2025-01-30T15:10:51ZengAyandegan Institute of Higher Education,International Journal of Research in Industrial Engineering2783-13372717-29372025-03-0114112010.22105/riej.2024.455343.1441202215Multi-period and multi-objective stock portfolio modeling considering cone constraintsMasoomeh Zeinalnezhad0Zohreh Ebrahimi1Towhid Pourrostam2Department of Industrial Engineering, Engineering and Technical Faculty, West Tehran Branch, Islamic Azad University, Tehran, Iran.Department of Industrial Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran.Department of Civil Engineering, Central Tehran Branch, Islamic Azad University, Tehran, Iran.Nowadays, one of the major concerns of investors is choosing a realistic stock portfolio and making proper decisions according to an individual's utility level. It is essential to consider two conflicting goals of return and risk for profitability; as a result, balancing the above goals has been identified as an investment concern. This paper modifies and optimizes a multi-objective and multi-period stock portfolio considering cone constraints and uncertain and stochastic discrete decisions. Non-dominated Sorting Genetic Algorithm-II (NSGA-II) was used to solve the model due to the issue's complexity. Two objective functions in the model could be explained by maximizing expected returns and minimizing investment risk. The Pareto chart of the problem was drawn, which allows investors to make decisions based on various levels of risk. Another result obtained in this study is calculating the percentage of optimal amounts assigned to each asset, providing a base for investors to avert investing in unsuitable assets and incurring losses. Finally, a sensitivity analysis of essential parameters was performed, which is critical in this issue. According to the results, increasing the number of problem constraints provides a base for the model reaction, and the optimal percentage allocated to each asset varies. Therefore, this prioritizes restrictions in different situations and according to the investors' choice.https://www.riejournal.com/article_202215_ee83dc829f577f994dd20dbbe84dad48.pdfgenetic algorithmoptimizationstock portfoliocone constraintsmulti-objective modelingdiscrete decisions
spellingShingle Masoomeh Zeinalnezhad
Zohreh Ebrahimi
Towhid Pourrostam
Multi-period and multi-objective stock portfolio modeling considering cone constraints
International Journal of Research in Industrial Engineering
genetic algorithm
optimization
stock portfolio
cone constraints
multi-objective modeling
discrete decisions
title Multi-period and multi-objective stock portfolio modeling considering cone constraints
title_full Multi-period and multi-objective stock portfolio modeling considering cone constraints
title_fullStr Multi-period and multi-objective stock portfolio modeling considering cone constraints
title_full_unstemmed Multi-period and multi-objective stock portfolio modeling considering cone constraints
title_short Multi-period and multi-objective stock portfolio modeling considering cone constraints
title_sort multi period and multi objective stock portfolio modeling considering cone constraints
topic genetic algorithm
optimization
stock portfolio
cone constraints
multi-objective modeling
discrete decisions
url https://www.riejournal.com/article_202215_ee83dc829f577f994dd20dbbe84dad48.pdf
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AT zohrehebrahimi multiperiodandmultiobjectivestockportfoliomodelingconsideringconeconstraints
AT towhidpourrostam multiperiodandmultiobjectivestockportfoliomodelingconsideringconeconstraints