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We present a numerically efficient approach for learning a risk-neutral measure for paths of simulated spot and option prices up to a finite horizon under convex transaction costs and convex trading constraints. This approach can then be…

Computational Finance · Quantitative Finance 2021-07-15 Hans Buehler , Phillip Murray , Mikko S. Pakkanen , Ben Wood

We propose three different data-driven approaches for pricing European-style call options using supervised machine-learning algorithms. These approaches yield models that give a range of fair prices instead of a single price point. The…

Statistical Finance · Quantitative Finance 2020-12-08 Anindya Goswami , Sharan Rajani , Atharva Tanksale

A common approach to valuing exotic options involves choosing a model and then determining its parameters to fit the volatility surface as closely as possible. We refer to this as the model calibration approach (MCA). A disadvantage of MCA…

Computational Finance · Quantitative Finance 2021-09-08 Jay Cao , Jacky Chen , John Hull , Zissis Poulos

We introduce a modular framework that extends the signature method to handle American option pricing under evolving volatility roughness. Building on the signature-pricing framework of Bayer et al. (2025), we add three practical…

Mathematical Finance · Quantitative Finance 2025-08-13 Roshan Shah

We develop an unsupervised deep learning method to solve the barrier options under the Bergomi model. The neural networks serve as the approximate option surfaces and are trained to satisfy the PDE as well as the boundary conditions. Two…

Computational Finance · Quantitative Finance 2022-07-04 Weilong Fu , Ali Hirsa

In this study, we constructed daily high-frequency sentiment data and used the VAR method to attempt to predict the next day's implied volatility surface. We utilized 630,000 text data entries from the East Money Stock Forum from 2014 to…

Machine Learning · Computer Science 2024-05-21 Jiahao Weng , Yan Xie

We propose a two-step framework for predicting the implied volatility surface over time without static arbitrage. In the first step, we select features to represent the surface and predict them over time. In the second step, we use the…

Statistical Finance · Quantitative Finance 2022-01-04 Wenyong Zhang , Lingfei Li , Gongqiu Zhang

We introduce a new deep-learning based algorithm to evaluate options in affine rough stochastic volatility models. Viewing the pricing function as the solution to a curve-dependent PDE (CPDE), depending on forward curves rather than the…

Pricing of Securities · Quantitative Finance 2023-01-04 Antoine Jacquier , Mugad Oumgari

We devise a novel method for nowcasting implied volatility based on neural operators. Better known as implied volatility smoothing in the financial industry, nowcasting of implied volatility means constructing a smooth surface that is…

Computational Finance · Quantitative Finance 2025-06-17 Ruben Wiedemann , Antoine Jacquier , Lukas Gonon

Predicting volatility is important for asset predicting, option pricing and hedging strategies because it cannot be directly observed in the financial market. The Black-Scholes option pricing model is one of the most widely used models by…

Computational Finance · Quantitative Finance 2023-12-01 Soohan Kim , Seok-Bae Yun , Hyeong-Ohk Bae , Muhyun Lee , Youngjoon Hong

We have proposed to develop a global hybrid deep learning framework to predict the daily prices in the stock market. With representation learning, we derived an embedding called Stock2Vec, which gives us insight for the relationship among…

Statistical Finance · Quantitative Finance 2020-10-06 Xing Wang , Yijun Wang , Bin Weng , Aleksandr Vinel

We consider the supervised learning problem of learning the price of an option or the implied volatility given appropriate input data (model parameters) and corresponding output data (option prices or implied volatilities). The majority of…

Computational Finance · Quantitative Finance 2026-01-30 Serena Della Corte , Laurens Van Mieghem , Antonis Papapantoleon , Jonas Papazoglou-Hennig

We adopt Deep Reinforcement Learning algorithms to design trading strategies for continuous futures contracts. Both discrete and continuous action spaces are considered and volatility scaling is incorporated to create reward functions which…

Computational Finance · Quantitative Finance 2019-11-25 Zihao Zhang , Stefan Zohren , Stephen Roberts

The aim of this study was to develop methods for evaluating the American-style option prices when the volatility of the underlying asset is described by a stochastic process. As part of this problem were developed techniques for modeling…

Pricing of Securities · Quantitative Finance 2010-09-29 Yu. A. Kuperin , P. A. Poloskov

We present a reinforcement-learning (RL) framework for dynamic hedging of equity index option exposures under realistic transaction costs and position limits. We hedge a normalized option-implied equity exposure (one unit of underlying…

Portfolio Management · Quantitative Finance 2025-12-16 Travon Lucius , Christian Koch , Jacob Starling , Julia Zhu , Miguel Urena , Carrie Hu

Existing deep learning-based calibration scheme for rough volatility models predominantly rely on supervised learning frameworks, which incur significant computational costs due to the necessity of generating massive synthetic training…

Computational Finance · Quantitative Finance 2026-01-22 Changqing Teng , Guanglian Li

We adopt deep learning models to directly optimise the portfolio Sharpe ratio. The framework we present circumvents the requirements for forecasting expected returns and allows us to directly optimise portfolio weights by updating model…

Portfolio Management · Quantitative Finance 2021-01-26 Zihao Zhang , Stefan Zohren , Stephen Roberts

In this paper we introduce a deep learning method for pricing and hedging American-style options. It first computes a candidate optimal stopping policy. From there it derives a lower bound for the price. Then it calculates an upper bound, a…

Computational Finance · Quantitative Finance 2021-03-23 Sebastian Becker , Patrick Cheridito , Arnulf Jentzen

It is a market practice to express market-implied volatilities in some parametric form. The most popular parametrizations are based on or inspired by an underlying stochastic model, like the Heston model (SVI method) or the SABR model (SABR…

Mathematical Finance · Quantitative Finance 2026-01-06 Nicola F. Zaugg , Leonardo Perotti , Lech A. Grzelak

Volatility smile and skewness are two key properties of option prices that are represented by the implied volatility (IV) surface. However, IV surface calibration through nonlinear interpolation is a complex problem due to several factors,…

Computational Finance · Quantitative Finance 2024-01-30 Kentaro Hoshisashi , Carolyn E. Phelan , Paolo Barucca