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September 2, 2026IMA Journal of Management MathematicsOpen Access

Bringing Reinforcement Learning to Multi-Period Financial Planning: A Bridge Between Learning-Enabled and Stochastic Optimization

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Authors

YLYirui LuoJMJohn M. Mulvey

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Overview

Systematic review traces computational methods in multi-period financial planning, highlighting reinforcement learning as a scalable bridge across stochastic optimization constraints.

Key Points

  • To review the mathematical evolution of multi-period financial planning methods and evaluate how model-free reinforcement learning bridges gaps in classical stochastic optimization frameworks.
  • Traced the algorithmic transition from Markowitz's single-period mean–variance framework to multi-period scenario-based and state-space formulations.
  • Categorized recent reinforcement learning applications across individual and institutional financial planning domains into hybrid, scalable, and end-to-end architectures.
  • Identified that multi-stage stochastic programming and dynamic programming are fundamentally constrained by the curse of dimensionality, model misspecification, and intractable transition assumptions.
  • Showed that model-free reinforcement learning enables adaptive and scalable multi-period decision-making without requiring rigid transition models or handcrafted scenario trees.
  • Determined that implementing AI-driven automated investing requires resolving practical barriers related to data constraints, model interpretability, user trust, and regulatory oversight.

Cite This Study

Luo et al. (2026) studied this question.

synapsesocial.com/papers/6a97e237c562ede874ec62c5https://doi.org/10.1093/imaman/dpag028
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