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In this paper we propose an efficient method to compute the price of multi-asset American options, based on Machine Learning, Monte Carlo simulations and variance reduction technique. Specifically, the options we consider are written on a…

Computational Finance · Quantitative Finance 2019-12-04 Ludovic Goudenège , Andrea Molent , Antonino Zanette

Portfolio Selection is an important real-world financial task and has attracted extensive attention in artificial intelligence communities. This task, however, has two main difficulties: (i) the non-stationary price series and complex asset…

Machine Learning · Computer Science 2020-03-09 Yifan Zhang , Peilin Zhao , Qingyao Wu , Bin Li , Junzhou Huang , Mingkui Tan

Machine learning is central to empirical asset pricing, but portfolio construction still relies on point predictions and largely ignores asset-specific estimation uncertainty. We propose a simple change: sort assets using…

Portfolio Management · Quantitative Finance 2026-01-05 Yan Liu , Ye Luo , Zigan Wang , Xiaowei Zhang

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

Option pricing is a significant problem for option risk management and trading. In this article, we utilize a framework to present financial data from different sources. The data is processed and represented in a form of 2D tensors in three…

Computational Finance · Quantitative Finance 2021-09-24 Muyang Ge , Shen Zhou , Shijun Luo , Boping Tian

Pricing of exotic financial derivatives, such as Asian and multi-asset American basket options, poses significant challenges for standard numerical methods such as binomial trees or Monte Carlo methods. While the former often scales…

Computational Finance · Quantitative Finance 2025-05-26 Maarten van Damme , Rishi Sreedhar , Martin Ganahl

We propose the deep parametric PDE method to solve high-dimensional parametric partial differential equations. A single neural network approximates the solution of a whole family of PDEs after being trained without the need of sample…

Computational Finance · Quantitative Finance 2020-12-14 Kathrin Glau , Linus Wunderlich

This study investigates the application of machine learning techniques, specifically Neural Networks, Random Forests, and CatBoost for option pricing, in comparison to traditional models such as Black-Scholes and Heston Model. Using both…

Computational Finance · Quantitative Finance 2025-10-03 Georgy Milyushkov

Options have provided a field of much study because of the complexity involved in pricing them. The Black-Scholes equations were developed to price options but they are only valid for European styled options. There is added complexity when…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Michael Maio Pires , Tshilidzi Marwala

This paper presents a novel way to predict options price for one day in advance, utilizing the method of Quasi-Reversibility for solving the Black-Scholes equation. The Black-Scholes equation solved forwards in time with Tikhonov…

Analysis of PDEs · Mathematics 2022-03-21 Mikhail V. Klibanov , Kirill V. Golubnichiy , Andrey V. Nikitin

Pricing of high-dimensional options is one of the most important problems in Mathematical Finance. The objective of this manuscript is to present an original self-contained treatment of the multidimensional pricing. During the past decades…

Mathematical Finance · Quantitative Finance 2015-10-27 Alexander Kushpel

In this paper, we propose a machine learning algorithm for time-inconsistent portfolio optimization. The proposed algorithm builds upon neural network based trading schemes, in which the asset allocation at each time point is determined by…

Portfolio Management · Quantitative Finance 2023-09-06 Kristoffer Andersson , Cornelis W. Oosterlee

In this paper we propose two efficient techniques which allow one to compute the price of American basket options. In particular, we consider a basket of assets that follow a multi-dimensional Black-Scholes dynamics. The proposed…

Computational Finance · Quantitative Finance 2019-06-20 Ludovic Goudenège , Andrea Molent , Antonino Zanette

Artificial neural networks (ANNs) have recently also been applied to solve partial differential equations (PDEs). In this work, the classical problem of pricing European and American financial options, based on the corresponding PDE…

Computational Finance · Quantitative Finance 2020-05-26 Beatriz Salvador , Cornelis W. Oosterlee , Remco van der Meer

We introduce a novel approach to options trading strategies using a highly scalable and data-driven machine learning algorithm. In contrast to traditional approaches that often require specifications of underlying market dynamics or…

Portfolio Management · Quantitative Finance 2024-11-22 Wee Ling Tan , Stephen Roberts , Stefan Zohren

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 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

This paper presents a discrete-time option pricing model that is rooted in Reinforcement Learning (RL), and more specifically in the famous Q-Learning method of RL. We construct a risk-adjusted Markov Decision Process for a discrete-time…

Computational Finance · Quantitative Finance 2019-09-04 Igor Halperin

The objective of this paper is to introduce the theory of option pricing for markets with informed traders within the framework of dynamic asset pricing theory. We introduce new models for option pricing for informed traders in complete…

Mathematical Finance · Quantitative Finance 2020-08-13 Yuan Hu , Abootaleb Shirvani , Stoyan Stoyanov , Young Shin Kim , Frank J. Fabozzi , Svetlozar T. Rachev

We consider the computation of model-free bounds for multi-asset options in a setting that combines dependence uncertainty with additional information on the dependence structure. More specifically, we consider the setting where the…

Pricing of Securities · Quantitative Finance 2024-04-04 Evangelia Dragazi , Shuaiqiang Liu , Antonis Papapantoleon
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