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We apply supervised deep neural networks (DNNs) for pricing and calibration of both vanilla and exotic options under both diffusion and pure jump processes with and without stochastic volatility. We train our neural network models under…

Pricing of Securities · Quantitative Finance 2019-02-18 Ali Hirsa , Tugce Karatas , Amir Oskoui

Forecasting demand for assets and services can be addressed in various markets, providing a competitive advantage when the predictive models used demonstrate high accuracy. However, the training of machine learning models incurs high…

This paper addresses the problem of pricing involved financial derivatives by means of advanced of deep learning techniques. More precisely, we smartly combine several sophisticated neural network-based concepts like differential machine…

Computational Finance · Quantitative Finance 2024-04-18 Francisco Gómez Casanova , Álvaro Leitao , Fernando de Lope Contreras , Carlos Vázquez

The trading ecosystem of the Municipal (muni) bond is complex and unique. With nearly 2\% of securities from over a million securities outstanding trading daily, determining the value or relative value of a bond among its peers is…

Statistical Finance · Quantitative Finance 2024-08-06 Preetha Saha , Jingrao Lyu , Dhruv Desai , Rishab Chauhan , Jerinsh Jeyapaulraj , Philip Sommer , Dhagash Mehta

We introduce a neural network approach for assessing the risk of a portfolio of assets and liabilities over a given time period. This requires a conditional valuation of the portfolio given the state of the world at a later time, a problem…

Risk Management · Quantitative Finance 2021-05-27 Patrick Cheridito , John Ery , Mario V. Wüthrich

This study enhances a Deep Q-Network (DQN) trading model by incorporating advanced techniques like Prioritized Experience Replay, Regularized Q-Learning, Noisy Networks, Dueling, and Double DQN. Extensive tests on assets like BTC/USD and…

Computational Finance · Quantitative Finance 2023-11-21 Gang Hu

Recent progress in the field of artificial intelligence, machine learning and also in computer industry resulted in the ongoing boom of using these techniques as applied to solving complex tasks in both science and industry. Same is, of…

Computational Finance · Quantitative Finance 2019-06-11 A Itkin

This article presents a new method for forecasting Value at Risk. Convolutional neural networks can do time series forecasting, since they can learn local patterns in time. A simple modification enables them to forecast not the mean, but…

Machine Learning · Computer Science 2020-10-01 Gábor Petneházi

Techniques from deep learning play a more and more important role for the important task of calibration of financial models. The pioneering paper by Hernandez [Risk, 2017] was a catalyst for resurfacing interest in research in this area. In…

Mathematical Finance · Quantitative Finance 2019-08-26 Christian Bayer , Blanka Horvath , Aitor Muguruza , Benjamin Stemper , Mehdi Tomas

This paper presents a method for time series forecasting with deep learning and its assessment on two datasets. The method starts with data preparation, followed by model training and evaluation. The final step is a visual inspection.…

Machine Learning · Computer Science 2023-02-24 Gissel Velarde

We propose a neural network approach to price EU call options that significantly outperforms some existing pricing models and comes with guarantees that its predictions are economically reasonable. To achieve this, we introduce a class of…

Computational Finance · Quantitative Finance 2020-03-30 Yongxin Yang , Yu Zheng , Timothy M. Hospedales

Recent advances in deep learning have enabled us to address the curse of dimensionality (COD) by solving problems in higher dimensions. A subset of such approaches of addressing the COD has led us to solving high-dimensional PDEs. This has…

A new challenge to quantitative finance after the recent financial crisis is the study of credit valuation adjustment (CVA), which requires modeling of the future values of a portfolio. In this paper, following recent work in [Weinan…

Computational Finance · Quantitative Finance 2018-11-22 Jian-Huang She , Dan Grecu

Deep learning is rapidly becoming a go-to tool for many artificial intelligence problems due to its ability to outperform other approaches and even humans at many problems. Despite its popularity we are still unable to accurately predict…

Machine Learning · Computer Science 2018-11-30 Daniel Justus , John Brennan , Stephen Bonner , Andrew Stephen McGough

Deep learning adoption in the financial services industry has been limited due to a lack of model interpretability. However, several techniques have been proposed to explain predictions made by a neural network. We provide an initial…

Machine Learning · Computer Science 2018-12-04 Ceena Modarres , Mark Ibrahim , Melissa Louie , John Paisley

We train neural networks to learn optimal replication strategies for an option when two replicating instruments are available, namely the underlying and a hedging option. If the price of the hedging option matches that of the Black--Scholes…

Computational Finance · Quantitative Finance 2024-09-23 John Armstrong , George Tatlow

This paper explores the application of Machine Learning techniques for pricing high-dimensional options within the framework of the Uncertain Volatility Model (UVM). The UVM is a robust framework that accounts for the inherent…

Computational Finance · Quantitative Finance 2025-06-06 Ludovic Goudenege , Andrea Molent , Antonino Zanette

The Heston stochastic volatility model is a widely used tool in financial mathematics for pricing European options. However, its calibration remains computationally intensive and sensitive to local minima due to the model's nonlinear…

Analysis of PDEs · Mathematics 2026-04-21 Arman Zadgar , Somayeh Fallah , Farshid Mehrdoust , Juan E. Trinidad Segovia

The field of deep learning has seen significant advancement in recent years. However, much of the existing work has been focused on real-valued numbers. Recent work has shown that a deep learning system using the complex numbers can be…

Neural and Evolutionary Computing · Computer Science 2018-07-31 Chase Gaudet , Anthony Maida

Quantum machine learning has the potential for a transformative impact across industry sectors and in particular in finance. In our work we look at the problem of hedging where deep reinforcement learning offers a powerful framework for…