Abstract
This study proposes a tri-objective portfolio optimization model comprising three objectives, which apart from the return, risk, modelled decision-maker preferences using a proposed composite index. In earlier studies, decision-maker preferences modelled using practical constraints; in contrast, this paper modelled these preferences as constraints along with the proposed composite index based on three decision parameters. To check the effectiveness of the proposed approach is tested on four multi-objective evolutionary algorithms i.e. NSGA-II, SPEA2, MOPSO, and MOEA/D. Finally, conclusions are drawn from the comparative study of these adapted Multi-Objective Evolutionary Algorithms (MOEAs).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Markowitz, H.: Portfolio selection. J. Finance 7(1), 77–91 (1952)
Anagnostopoulos, K.P., Mamanis, G.: A portfolio optimization model with three objectives and discrete variables. Comput. Oper. Res. 37(7), 1285–1297 (2010)
Meghwani, S.S., Thakur, M.: Multi-objective heuristic algorithms for practical portfolio optimization and rebalancing with transaction cost. Appl. Soft Comput. 67, 865–894 (2018)
Meghwani, S.S., Thakur, M.: Multi-criteria algorithms for portfolio optimization under practical constraints. Swarm Evol. Comput. 37, 104–125 (2017)
Lejeune, M.A., Shen, S.: Multi-objective probabilistically constrained programs with variable risk: Models for multi-portfolio financial optimization. Eur. J. Oper. Res. 252(2), 522–539 (2016)
Deb, K., Pratap, A., Agarwal, S., Meyarivan, T.A.M.T.: A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans. Evol. Comput. 6(2), 182–197 (2002)
Zitzler, E., Laumanns, M., Thiele, L.: SPEA2: improving the strength Pareto evolutionary algorithm. TIK-report, 103 (2001)
Coello, C.A.C., Pulido, G.T., Lechuga, M.S.: Handling multiple objectives with particle swarm optimization. IEEE Trans. Evol. Comput. 8(3), 256–279 (2004)
Zhang, Q., Li, H.: MOEA/D: a multiobjective evolutionary algorithm based on decomposition. IEEE Trans. Evol. Comput. 11(6), 712–731 (2007)
Chang, T.J., Meade, N., Beasley, J.E., Sharaiha, Y.M.: Heuristics for cardinality constrained portfolio optimisation. Comput. Oper. Res. 27(13), 1271–1302 (2000)
Beasley, J.E.: OR-Library: distributing test problems by electronic mail. J. Oper. Res. Soc. 41(11), 1069–1072 (1990)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Ciano, T., Ferrara, M. (2022). Decision Making in Portfolio Optimization by Using a Tri-Objective Model and Decision Parameters. In: Corazza, M., Perna, C., Pizzi, C., Sibillo, M. (eds) Mathematical and Statistical Methods for Actuarial Sciences and Finance. MAF 2022. Springer, Cham. https://doi.org/10.1007/978-3-030-99638-3_26
Download citation
DOI: https://doi.org/10.1007/978-3-030-99638-3_26
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-99637-6
Online ISBN: 978-3-030-99638-3
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)