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We propose a new, data-driven approach for efficient pricing of - fixed- and float-strike - discrete arithmetic Asian and Lookback options when the underlying process is driven by the Heston model dynamics. The method proposed in this…

Computational Finance · Quantitative Finance 2024-02-19 Leonardo Perotti , Lech A. Grzelak

Can deep reinforcement learning algorithms be exploited as solvers for optimal trading strategies? The aim of this work is to test reinforcement learning algorithms on conceptually simple, but mathematically non-trivial, trading…

Mathematical Finance · Quantitative Finance 2020-04-10 Ayman Chaouki , Stephen Hardiman , Christian Schmidt , Emmanuel Sérié , Joachim de Lataillade

We summarize the fundamental issues at stake in algorithmic trading, and the progress made in this field over the last twenty years. We first present the key problems of algorithmic trading, describing the concepts of optimal execution,…

Trading and Market Microstructure · Quantitative Finance 2020-06-11 Michaël Karpe

Investors try to predict returns of financial assets to make successful investment. Many quantitative analysts have used machine learning-based methods to find unknown profitable market rules from large amounts of market data. However,…

Trading and Market Microstructure · Quantitative Finance 2020-12-21 Katsuya Ito , Kentaro Minami , Kentaro Imajo , Kei Nakagawa

We explore online inductive transfer learning, with a feature representation transfer from a radial basis function network formed of Gaussian mixture model hidden processing units to a direct, recurrent reinforcement learning agent. This…

Trading and Market Microstructure · Quantitative Finance 2022-05-24 Gabriel Borrageiro , Nick Firoozye , Paolo Barucca

We consider high-dimensional asset price models that are reduced in their dimension in order to reduce the complexity of the problem or the effect of the curse of dimensionality in the context of option pricing. We apply model order…

Probability · Mathematics 2021-04-02 Martin Redmann , Christian Bayer , Pawan Goyal

This paper analyses the implementation and calibration of the Heston Stochastic Volatility Model. We first explain how characteristic functions can be used to estimate option prices. Then we consider the implementation of the Heston model,…

Pricing of Securities · Quantitative Finance 2015-03-18 Ricardo Crisostomo

Algorithmic trading requires short-term tactical decisions consistent with long-term financial objectives. Reinforcement Learning (RL) has been applied to such problems, but adoption is limited by myopic behaviour and opaque policies. Large…

Machine Learning · Computer Science 2025-10-28 Adam Darmanin , Vince Vella

The Foreign Exchange (Forex) is a large decentralized market, on which trading analysis and algorithmic trading are popular. Research efforts have been focusing on proof of efficiency of certain technical indicators. We demonstrate,…

Statistical Finance · Quantitative Finance 2021-06-01 Nikolay Ivanov , Qiben Yan

Constrained combinatorial optimization problems, which are ubiquitous in industry, can be solved by quantum algorithms such as quantum annealing (QA) and the quantum approximate optimization algorithm (QAOA). In these quantum algorithms,…

Quantum Physics · Physics 2024-12-17 Puya Mirkarimi , Ishaan Shukla , David C. Hoyle , Ross Williams , Nicholas Chancellor

Fourier pricing methods such as the Carr-Madan formula or the COS method are classic tools for pricing European options for advanced models such as the Heston model. These methods require tuning parameters such as a damping factor, a…

Mathematical Finance · Quantitative Finance 2024-12-09 Gero Junike , Hauke Stier

Portfolio optimisation is essential in quantitative investing, but its implementation faces several practical difficulties. One particular challenge is converting optimal portfolio weights into real-life trades in the presence of realistic…

Portfolio Management · Quantitative Finance 2024-10-01 Cristiano Arbex Valle

We methodologically address the problem of Q-value overestimation in deep reinforcement learning to handle high-dimensional state spaces efficiently. By adapting concepts from information theory, we introduce an intrinsic penalty signal…

Artificial Intelligence · Computer Science 2018-11-21 Felix Leibfried , Jordi Grau-Moya , Haitham Bou-Ammar

This paper studies an infinite horizon optimal control problem for discrete-time linear systems and quadratic criteria, both with random parameters which are independent and identically distributed with respect to time. A classical approach…

Optimization and Control · Mathematics 2020-11-11 Kai Du , Qingxin Meng , Fu Zhang

This paper investigates the experimental performance of a discrete portfolio optimization problem relevant to the financial services industry on the gate-model of quantum computing. We implement and evaluate a portfolio rebalancing use case…

Quantum Physics · Physics 2019-11-14 Mark Hodson , Brendan Ruck , Hugh Ong , David Garvin , Stefan Dulman

This paper explores the application of a reinforcement learning (RL) framework using the Q-Learning algorithm to enhance dynamic pricing strategies in the retail sector. Unlike traditional pricing methods, which often rely on static demand…

Machine Learning · Computer Science 2024-11-28 Mohit Apte , Ketan Kale , Pranav Datar , Pratiksha Deshmukh

The quantum approximate optimization algorithm (QAOA) is a hybrid quantum-classical variational algorithm that offers the potential to handle combinatorial optimization problems. Introducing constraints in such combinatorial optimization…

Quantum Physics · Physics 2021-12-15 Santosh Kumar Radha

The deep reinforcement learning method usually requires a large number of training images and executing actions to obtain sufficient results. When it is extended a real-task in the real environment with an actual robot, the method will be…

Computer Vision and Pattern Recognition · Computer Science 2018-06-05 Daiki Kimura

Reinforcement learning has witnessed significant advancements, particularly with the emergence of model-based approaches. Among these, $Q$-learning has proven to be a powerful algorithm in model-free settings. However, the extension of…

Machine Learning · Computer Science 2026-03-31 Han-Dong Lim , HyeAnn Lee , Donghwan Lee

We present a robust Deep Hedging framework for the pricing and hedging of option portfolios that significantly improves training efficiency and model robustness. In particular, we propose a neural model for training model embeddings which…

Computational Finance · Quantitative Finance 2025-04-24 Fabienne Schmid , Daniel Oeltz