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Related Experiment Videos

A multi-period robust portfolio optimization framework using yager's entropy.

Arman Khosravi1, Seyed Jafar Sadjadi1

  • 1Department of Industrial Engineering, Iran University of Science and Technology, Tehran, Iran.

Plos One
|May 14, 2026
PubMed
Summary
This summary is machine-generated.

This study introduces the Generalized Robust Mean-Variance-Entropy (GRMVE) framework, a new model for adaptive investing. The GRMVE framework enhances portfolio diversification and risk management, outperforming traditional methods in dynamic market conditions.

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Area of Science:

  • Quantitative Finance
  • Computational Economics
  • Financial Engineering

Background:

  • Modern portfolio theory exhibits sensitivity to input parameters and concentration risk.
  • Existing models often underperform out-of-sample due to these limitations.
  • Adaptive, multi-period investment strategies are crucial for robust portfolio management.

Purpose of the Study:

  • Introduce the Generalized Robust Mean-Variance-Entropy (GRMVE) framework.
  • Address limitations of traditional portfolio optimization, including parameter sensitivity and concentration.
  • Develop a computationally tractable model for institutional portfolio management.

Main Methods:

  • Developed a novel Mixed-Integer Quadratic Programming (MIQP) model: GRMVE.
  • Integrated budgeted uncertainty to mitigate estimation error risk.
  • Incorporated Yager's entropy for structural diversification and to prevent over-concentration.
  • Employed a dynamic, expanding-window re-optimization approach over a 72-month horizon.

Main Results:

  • GRMVE framework demonstrated highly competitive risk-adjusted returns.
  • Outperformed Naive (1/n) and Mean-CVaR models in empirical validation.
  • Overcame severe portfolio concentration and high trading turnover issues of other models.
  • Achieved significantly lower drawdowns during market downturns and recoveries.

Conclusions:

  • The GRMVE framework offers a practical and structurally resilient solution for institutional portfolio management.
  • It effectively balances risk management, diversification, and computational tractability.
  • The model provides a robust alternative to traditional and state-of-the-art portfolio optimization techniques.