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Multiobjective robustness for portfolio optimization in volatile environments

Published: 12 July 2008 Publication History

Abstract

Multiobjective methods are ideal for evolving a set of portfolio optimisation solutions that span a range from high-return/high-risk to low-return/low-risk, and an investor can choose her preferred point on the risk-return frontier. However, there are no guarantees that a low-risk solution will remain low-risk . if the environment changes, the relative positions of previously identified solutions may alter. A low-risk solution may become high-risk and vice versa.
The robustness of a Multiobjective Genetic Programming (MOGP) algorithm such as SPEA2 is vitally important in the context of the real-world problem of portfolio optimisation. We explore robustness in this context, providing new definitions and a statistical measure to quantify the robustness of solutions.
A new robustness measure is incorporated into a MOGP fitness function to bias evolution towards more robust solutions. This new system ("R-SPEA2") is compared against the original SPEA2 and we present our results.

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    cover image ACM Conferences
    GECCO '08: Proceedings of the 10th annual conference on Genetic and evolutionary computation
    July 2008
    1814 pages
    ISBN:9781605581309
    DOI:10.1145/1389095
    • Conference Chair:
    • Conor Ryan,
    • Editor:
    • Maarten Keijzer
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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    Publication History

    Published: 12 July 2008

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    Author Tags

    1. GP
    2. dynamic environment
    3. finance
    4. multiobjective optimisation
    5. portfolio optimisation
    6. robustness

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    • (2021)Artificial Intelligence Applied to Stock Market Trading: A ReviewIEEE Access10.1109/ACCESS.2021.30581339(30898-30917)Online publication date: 2021
    • (2017)Portfolio Implementation Risk Management Using Evolutionary Multiobjective OptimizationApplied Sciences10.3390/app71010797:10(1079)Online publication date: 18-Oct-2017
    • (2017)Evolutionary Computation in FinanceEncyclopedia of Machine Learning and Data Mining10.1007/978-1-4899-7687-1_88(435-444)Online publication date: 14-Apr-2017
    • (2016)Efficient dynamic resampling for dominance-based multiobjective evolutionary optimizationEngineering Optimization10.1080/0305215X.2016.118772949:2(311-327)Online publication date: 22-Jun-2016
    • (2016)Evolutionary Computation in FinanceEncyclopedia of Machine Learning and Data Mining10.1007/978-1-4899-7502-7_88-1(1-10)Online publication date: 12-Aug-2016
    • (2015)Multi-Objective Robust Optimization Using a Postoptimality Sensitivity Analysis Technique: Application to a Wind Turbine DesignJournal of Mechanical Design10.1115/1.4028755137:1Online publication date: 1-Jan-2015
    • (2013)Regularized hypervolume selection for robust portfolio optimization in dynamic environments2013 IEEE Congress on Evolutionary Computation10.1109/CEC.2013.6557823(2146-2153)Online publication date: Jun-2013
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    • (2012)Money in treesInformation Sciences: an International Journal10.1016/j.ins.2011.05.023182:1(184-198)Online publication date: 1-Jan-2012
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