Minimal Shortfall Strategies for Liquidation of a Basket of Stocks using Reinforcement Learning

Fuente: arXiv
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Main Authors: Pemy, Moustapha, Zhang, Na
Format: Preprint
Published: 2025
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author Pemy, Moustapha
Zhang, Na
author_facet Pemy, Moustapha
Zhang, Na
contents This paper studies the ubiquitous problem of liquidating large quantities of highly correlated stocks, a task frequently encountered by institutional investors and proprietary trading firms. Traditional methods in this setting suffer from the curse of dimensionality, making them impractical for high-dimensional problems. In this work, we propose a novel method based on stochastic optimal control to optimally tackle this complex multidimensional problem. The proposed method minimizes the overall execution shortfall of highly correlated stocks using a reinforcement learning approach. We rigorously establish the convergence of our optimal trading strategy and present an implementation of our algorithm using intra-day market data.
format Preprint
id arxiv_https___arxiv_org_abs_2502_07868
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Minimal Shortfall Strategies for Liquidation of a Basket of Stocks using Reinforcement Learning
Pemy, Moustapha
Zhang, Na
Trading and Market Microstructure
Optimization and Control
Computational Finance
This paper studies the ubiquitous problem of liquidating large quantities of highly correlated stocks, a task frequently encountered by institutional investors and proprietary trading firms. Traditional methods in this setting suffer from the curse of dimensionality, making them impractical for high-dimensional problems. In this work, we propose a novel method based on stochastic optimal control to optimally tackle this complex multidimensional problem. The proposed method minimizes the overall execution shortfall of highly correlated stocks using a reinforcement learning approach. We rigorously establish the convergence of our optimal trading strategy and present an implementation of our algorithm using intra-day market data.
title Minimal Shortfall Strategies for Liquidation of a Basket of Stocks using Reinforcement Learning
topic Trading and Market Microstructure
Optimization and Control
Computational Finance
url https://arxiv.org/abs/2502.07868