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In this paper we investigate a nonlinear generalization of the Black-Scholes equation for pricing American style call options in which the volatility term may depend on the underlying asset price and the Gamma of the option. We propose a…

Computational Finance · Quantitative Finance 2018-06-14 Maria do Rosario Grossinho , Yaser Faghan Kord , Daniel Sevcovic

Developments in finance industry and academic research has led to innovative financial products. This paper presents an alternative approach to price American options. Our approach utilizes famous \cite{heath1992bond} ("HJM") technique to…

Mathematical Finance · Quantitative Finance 2021-09-13 Kushantha Fernando , Vajira Manathunga

This paper aims to develop a supervised deep-learning scheme to compute call option prices for the Barndorff-Nielsen and Shephard model with a non-martingale asset price process having infinite active jumps. In our deep learning scheme,…

Computational Finance · Quantitative Finance 2024-02-02 Takuji Arai , Yuto Imai

We study the binomial, trinomial, and Black-Scholes-Merton models of option pricing. We present fast parallel discrete-time finite-difference algorithms for American call option pricing under the binomial and trinomial models and American…

Computational Engineering, Finance, and Science · Computer Science 2023-10-18 Zafar Ahmad , Reilly Browne , Rezaul Chowdhury , Rathish Das , Yushen Huang , Yimin Zhu

In this work, we propose an algorithm to price American options by directly solving the dual minimization problem introduced by Rogers. Our approach relies on approximating the set of uniformly square integrable martingales by a finite…

Probability · Mathematics 2016-04-13 Jérôme Lelong

Semi-analytical pricing of American options in a time-dependent Ornstein-Uhlenbeck model was presented in [Carr, Itkin, 2020]. It was shown that to obtain these prices one needs to solve (numerically) a nonlinear Volterra integral equation…

Computational Finance · Quantitative Finance 2023-07-27 Andrey Itkin , Dmitry Muravey

Artificial neural networks (ANNs) have achieved significant success in tackling classical and modern machine learning problems. As learning problems grow in scale and complexity, and expand into multi-disciplinary territory, a more modular…

Machine Learning · Computer Science 2019-04-30 Mohammed Amer , Tomás Maul

We introduce a new method to price American options based on Chebyshev interpolation. In each step of a dynamic programming time-stepping we approximate the value function with Chebyshev polynomials. The key advantage of this approach is…

Computational Finance · Quantitative Finance 2018-06-15 Kathrin Glau , Mirco Mahlstedt , Christian Pötz

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

This paper presents a model based on multilayer feedforward neural network to forecast crude oil spot price direction in the short-term, up to three days ahead. A great deal of attention was paid on finding the optimal ANN model structure.…

Neural and Evolutionary Computing · Computer Science 2009-06-29 Siddhivinayak Kulkarni , Imad Haidar

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

We introduce a new approach for the numerical pricing of American options. The main idea is to choose a finite number of suitable excessive functions (randomly) and to find the smallest majorant of the gain function in the span of these…

Computational Finance · Quantitative Finance 2013-10-17 Sören Christensen

This paper investigates analytic properties of American option prices under the finite moment log-stable (FMLS) model. Under this model the price of American options is characterised by the free boundary problem of a fractional partial…

Computational Finance · Quantitative Finance 2017-10-25 Wenting Chen , Kai Du , Xinzi Qiu

Data analytics using machine learning (ML) has become ubiquitous in science, business intelligence, journalism and many other domains. While a lot of work focuses on reducing the training cost, inference runtime and storage cost of ML…

Databases · Computer Science 2018-05-30 Lingjiao Chen , Paraschos Koutris , Arun Kumar

Deep neural networks (DNNs) are powerful types of artificial neural networks (ANNs) that use several hidden layers. They have recently gained considerable attention in the speech transcription and image recognition community (Krizhevsky et…

Machine Learning · Computer Science 2017-06-15 Matthew Dixon , Diego Klabjan , Jin Hoon Bang

This paper presents a new model for options pricing. The Black-Scholes-Merton (BSM) model plays an important role in financial options pricing. However, the BSM model assumes that the risk-free interest rate, volatility, and equity premium…

Mathematical Finance · Quantitative Finance 2024-08-29 Nicole Hao , Echo Li , Diep Luong-Le

This study enhances option pricing by presenting unique pricing model fractional order Black-Scholes-Merton (FOBSM) which is based on the Black-Scholes-Merton (BSM) model. The main goal is to improve the precision and authenticity of option…

Computational Finance · Quantitative Finance 2024-01-02 Sarit Maitra , Vivek Mishra , Goutam Kr. Kundu , Kapil Arora

This study evaluates the effectiveness of a Mixture of Experts (MoE) model for stock price prediction by comparing it to a Recurrent Neural Network (RNN) and a linear regression model. The MoE framework combines an RNN for volatile stocks…

Computational Finance · Quantitative Finance 2024-10-11 Diego Vallarino

Price prediction is one of the examples related to forecasting tasks and is a project based on data science. Price prediction analyzes data and predicts the cost of new products. The goal of this research is to achieve an arrangement to…

Computer Vision and Pattern Recognition · Computer Science 2021-04-05 Aidin Zehtab-Salmasi , Ali-Reza Feizi-Derakhshi , Narjes Nikzad-Khasmakhi , Meysam Asgari-Chenaghlu , Saeideh Nabipour

We present an uncertainty-aware, physics-informed neural network (PINN) for option pricing that solves the Black--Scholes (BS) partial differential equation (PDE) as a mesh-free, global surrogate over $(S,t)$. The model embeds the BS…

Computational Finance · Quantitative Finance 2025-11-11 Sina Kazemian , Ghazal Farhani , Amirhessam Yazdi