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Discrete-Time Mean-Variance Strategy Based on Reinforcement Learning

Mathematical Finance 2023-12-27 v1 Machine Learning Portfolio Management

Abstract

This paper studies a discrete-time mean-variance model based on reinforcement learning. Compared with its continuous-time counterpart in \cite{zhou2020mv}, the discrete-time model makes more general assumptions about the asset's return distribution. Using entropy to measure the cost of exploration, we derive the optimal investment strategy, whose density function is also Gaussian type. Additionally, we design the corresponding reinforcement learning algorithm. Both simulation experiments and empirical analysis indicate that our discrete-time model exhibits better applicability when analyzing real-world data than the continuous-time model.

Keywords

Cite

@article{arxiv.2312.15385,
  title  = {Discrete-Time Mean-Variance Strategy Based on Reinforcement Learning},
  author = {Xiangyu Cui and Xun Li and Yun Shi and Si Zhao},
  journal= {arXiv preprint arXiv:2312.15385},
  year   = {2023}
}

Comments

arXiv admin note: text overlap with arXiv:1904.11392 by other authors

R2 v1 2026-06-28T14:00:53.827Z