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This article leverages deep reinforcement learning (DRL) to hedge American put options, utilizing the deep deterministic policy gradient (DDPG) method. The agents are first trained and tested with Geometric Brownian Motion (GBM) asset paths…

Risk Management · Quantitative Finance 2024-05-14 Reilly Pickard , Finn Wredenhagen , Julio DeJesus , Mario Schlener , Yuri Lawryshyn

This paper explores the application of deep Q-learning to hedging at-the-money options on the S\&P~500 index. We develop an agent based on the Twin Delayed Deep Deterministic Policy Gradient (TD3) algorithm, trained to simulate hedging…

Computational Finance · Quantitative Finance 2025-10-13 Zofia Bracha , Paweł Sakowski , Jakub Michańków

Dynamic hedging is a financial strategy that consists in periodically transacting one or multiple financial assets to offset the risk associated with a correlated liability. Deep Reinforcement Learning (DRL) algorithms have been used to…

Computational Finance · Quantitative Finance 2025-04-18 Andrei Neagu , Frédéric Godin , Leila Kosseim

We introduce the first end-to-end Deep Reinforcement Learning (DRL) based framework for active high frequency trading in the stock market. We train DRL agents to trade one unit of Intel Corporation stock by employing the Proximal Policy…

Machine Learning · Computer Science 2023-08-22 Antonio Briola , Jeremy Turiel , Riccardo Marcaccioli , Alvaro Cauderan , Tomaso Aste

Dynamic hedging is the practice of periodically transacting financial instruments to offset the risk caused by an investment or a liability. Dynamic hedging optimization can be framed as a sequential decision problem; thus, Reinforcement…

Computational Finance · Quantitative Finance 2024-02-26 Andrei Neagu , Frédéric Godin , Clarence Simard , Leila Kosseim

We consider two data driven approaches, Reinforcement Learning (RL) and Deep Trajectory-based Stochastic Optimal Control (DTSOC) for hedging a European call option without and with transaction cost according to a quadratic hedging P&L…

Computational Finance · Quantitative Finance 2024-01-18 Bernhard Hientzsch

This paper proposes a deep delta hedging framework for options, utilizing neural networks to learn the residuals between the hedging function and the implied Black-Scholes delta. This approach leverages the smoother properties of these…

Computational Finance · Quantitative Finance 2024-08-27 Chunhui Qiao , Xiangwei Wan

This paper shows how reinforcement learning can be used to derive optimal hedging strategies for derivatives when there are transaction costs. The paper illustrates the approach by showing the difference between using delta hedging and…

Computational Finance · Quantitative Finance 2021-03-31 Jay Cao , Jacky Chen , John Hull , Zissis Poulos

Optimal Order Execution is a well-established problem in finance that pertains to the flawless execution of a trade (buy or sell) for a given volume within a specified time frame. This problem revolves around optimizing returns while…

Computational Finance · Quantitative Finance 2026-01-13 Khabbab Zakaria , Jayapaulraj Jerinsh , Andreas Maier , Patrick Krauss , Stefano Pasquali , Dhagash Mehta

In today's forex market traders increasingly turn to algorithmic trading, leveraging computers to seek more profits. Deep learning techniques as cutting-edge advancements in machine learning, capable of identifying patterns in financial…

Computational Engineering, Finance, and Science · Computer Science 2024-08-31 Davoud Sarani , Parviz Rashidi-Khazaee

Can an asset manager plan the optimal timing for her/his hedging strategies given market conditions? The standard approach based on Markowitz or other more or less sophisticated financial rules aims to find the best portfolio allocation…

Portfolio Management · Quantitative Finance 2020-11-10 Eric Benhamou , David Saltiel , Sandrine Ungari , Abhishek Mukhopadhyay

With the rapid development of artificial intelligence, data-driven methods effectively overcome limitations in traditional portfolio optimization. Conventional models primarily employ long-only mechanisms, excluding highly correlated assets…

Computational Finance · Quantitative Finance 2025-03-18 Gang Huang , Xiaohua Zhou , Qingyang Song

Classical portfolio optimization often requires forecasting asset returns and their corresponding variances in spite of the low signal-to-noise ratio provided in the financial markets. Modern deep reinforcement learning (DRL) offers a…

Portfolio Management · Quantitative Finance 2023-05-19 Alessio Brini , Daniele Tantari

Recent deep reinforcement learning (DRL) methods in finance show promising outcomes. However, there is limited research examining the behavior of these DRL algorithms. This paper aims to investigate their tendencies towards holding or…

Trading and Market Microstructure · Quantitative Finance 2024-07-16 Alireza Mohammadshafie , Akram Mirzaeinia , Haseebullah Jumakhan , Amir Mirzaeinia

The paper explores the use of Deep Reinforcement Learning (DRL) in stock market trading, focusing on two algorithms: Double Deep Q-Network (DDQN) and Proximal Policy Optimization (PPO) and compares them with Buy and Hold benchmark. It…

Trading and Market Microstructure · Quantitative Finance 2025-06-06 Jędrzej Maskiewicz , Paweł Sakowski

This paper studies empirical deep hedging for S&P 500 index options under a local downside-shortfall reward. It moves beyond performance comparison by asking what the learned hedge does, when it fails, and whether it can be made auditable.…

Risk Management · Quantitative Finance 2026-05-22 Kirill Zernikov

Deep reinforcement learning (DRL) has been widely studied in the portfolio management task. However, it is challenging to understand a DRL-based trading strategy because of the black-box nature of deep neural networks. In this paper, we…

Portfolio Management · Quantitative Finance 2021-12-21 Mao Guan , Xiao-Yang Liu

Deep reinforcement learning (DRL) is a well-suited approach to financial decision-making, where an agent makes decisions based on its trading strategy developed from market observations. Existing DRL intraday trading strategies mainly use…

Trading and Market Microstructure · Quantitative Finance 2024-06-13 Sven Goluža , Tomislav Kovačević , Tessa Bauman , Zvonko Kostanjčar

Financial trading has been widely analyzed for decades with market participants and academics always looking for advanced methods to improve trading performance. Deep reinforcement learning (DRL), a recently reinvigorated method with…

Trading and Market Microstructure · Quantitative Finance 2021-06-17 Ali Hirsa , Joerg Osterrieder , Branka Hadji-Misheva , Jan-Alexander Posth

Deep reinforcement learning (DRL) has become a powerful tool for complex decision-making in machine learning and AI. However, traditional methods often assume perfect action execution, overlooking the uncertainties and deviations between an…

Robotics · Computer Science 2025-07-02 Oren Fivel , Matan Rudman , Kobi Cohen
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