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In this paper we propose a novel dual regression-based approach for pricing American options. This approach reduces the complexity of the nested Monte Carlo method and has especially simple form for time discretised diffusion processes. We…

Computational Finance · Quantitative Finance 2018-06-07 Denis Belomestny , Stefan Häfner , Mikhail Urusov

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

One of the most discussed problems in the financial world is stock option pricing. The Black-Scholes Equation is a Parabolic Partial Differential Equation which provides an option pricing model. The present work proposes an approach based…

Machine Learning · Computer Science 2024-05-12 Daniel de Souza Santos , Tiago Alessandro Espinola Ferreira

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

A statistical decision problem is hidden in the core of option pricing. A simple form for the price C of a European call option is obtained via the minimum Bayes risk, R_B, of a 2-parameter estimation problem, thus justifying calling C…

Pricing of Securities · Quantitative Finance 2013-04-19 Yannis G. Yatracos

Accurate price predictions are essential for market participants in order to optimize their operational schedules and bidding strategies, especially in the current context where electricity prices become more volatile and less predictable…

Computational Engineering, Finance, and Science · Computer Science 2025-09-26 Naga Venkata Sai Jitin Jami , Juraj Kardoš , Olaf Schenk , Harald Köstler

The prediction of financial markets is a challenging yet important task. In modern electronically-driven markets, traditional time-series econometric methods often appear incapable of capturing the true complexity of the multi-level…

Econometrics · Economics 2023-02-01 Martin Magris , Mostafa Shabani , Alexandros Iosifidis

Analytical pricing formulas and Greeks are obtained for European and American basket put options using Mellin transforms. We assume assets are driven by geometric Brownian motion which exhibit correlation and pay a continuous dividend rate.…

Pricing of Securities · Quantitative Finance 2014-03-19 D. J. Manuge , P. T. Kim

This paper presents a multinomial method for option pricing when the underlying asset follows an exponential Variance Gamma process. The continuous time Variance Gamma process is approximated by a discrete time Markov chain with the same…

Pricing of Securities · Quantitative Finance 2021-06-18 Nicola Cantarutti , João Guerra

We price European-style options written on forward contracts in a commodity market, which we model with an infinite-dimensional Heath-Jarrow-Morton (HJM) approach. For this purpose we introduce a new class of state-dependent volatility…

Mathematical Finance · Quantitative Finance 2021-05-07 Fred Espen Benth , Nils Detering , Silvia Lavagnini

An efficient computational algorithm to price financial derivatives is presented. It is based on a path integral formulation of the pricing problem. It is shown how the path integral approach can be worked out in order to obtain fast and…

Statistical Mechanics · Physics 2009-11-07 G. Montagna , O. Nicrosini , N. Moreni

We introduce a new class of neural networks designed to be convex functions of their inputs, leveraging the principle that any convex function can be represented as the supremum of the affine functions it dominates. These neural networks,…

Machine Learning · Statistics 2024-11-21 Vincent Lemaire , Gilles Pagès , Christian Yeo

This research investigates pricing financial options based on the traditional martingale theory of arbitrage pricing applied to neural SDEs. We treat neural SDEs as universal It\^o process approximators. In this way we can lift all…

Mathematical Finance · Quantitative Finance 2021-05-28 Timothy DeLise

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

Options, serving as a crucial financial instrument, are used by investors to manage and mitigate their investment risks within the securities market. Precisely predicting the present price of an option enables investors to make informed and…

Pricing of Securities · Quantitative Finance 2023-10-20 Yanhui Shen

Option pricing in real markets faces fundamental challenges. The Black--Scholes--Merton (BSM) model assumes constant volatility and uses a linear generator $g(t,x,y,z)=-ry$, while lacking explicit behavioral factors, resulting in systematic…

Computational Finance · Quantitative Finance 2026-01-28 Yilun Zhang , Zheng Tang , Hexiang Sun , Yufeng Shi

We price American options using kernel-based approximations of the Volterra Heston model. We choose these approximations because they allow simulation-based techniques for pricing. We prove the convergence of American option prices in the…

Pricing of Securities · Quantitative Finance 2022-05-05 Etienne Chevalier , Sergio Pulido , Elizabeth Zúñiga

We present a novel method for the numerical pricing of American options based on Monte Carlo simulation and the optimization of exercise strategies. Previous solutions to this problem either explicitly or implicitly determine so-called…

Computational Finance · Quantitative Finance 2019-08-13 Christian Bayer , Raúl Tempone , Sören Wolfers

Binarized Neural Networks (BNN) offer efficient implementations for machine learning tasks and facilitate Privacy-Preserving Machine Learning (PPML) by simplifying operations with binary values. Nevertheless, challenges persist in terms of…

Machine Learning · Computer Science 2024-12-24 Benchang Dong , Zhili Chen , Xin Chen , Shiwen Wei , Jie Fu , Huifa Li

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
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