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Related papers: Pricing options and computing implied volatilities…

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Option contracts can be valued by using the Black-Scholes equation, a partial differential equation with initial conditions. An exact solution for European style options is known. The computation time and the error need to be minimized…

Computational Engineering, Finance, and Science · Computer Science 2014-04-30 Snehanshu Saha , Swati Routh , Bidisha Goswami

In this paper we develop numerical pricing methodologies for European style Exchange Options written on a pair of correlated assets, in a market with finite liquidity. In contrast to the standard multi-asset Black-Scholes framework, trading…

Pricing of Securities · Quantitative Finance 2020-06-16 Kevin S. Zhang , Traian A. Pirvu

In American options, the early exercise feature allows the option to be exercised at any time prior to expiration. However, this flexibility introduces a challenge: the pricing model must value the option while simultaneously determining an…

Computational Finance · Quantitative Finance 2026-05-11 Rohan , Siddanth Shetty , Amit N. Kumar

With the rapid advancement of neural networks, methods for option pricing have evolved significantly. This study employs the Black-Scholes-Merton (B-S-M) model, incorporating an additional variable to improve the accuracy of predictions…

Computational Engineering, Finance, and Science · Computer Science 2024-12-03 Zeyuan Li , Qingdao Huang

We present a novel deep learning-based algorithm to accelerate - through the use of Artificial Neural Networks (ANNs) - the convergence of Algebraic Multigrid (AMG) methods for the iterative solution of the linear systems of equations…

Numerical Analysis · Mathematics 2025-06-18 Paola F. Antonietti , Matteo Caldana , Luca Dede'

Calculating true volatility is an essential task for option pricing and risk management. However, it is made difficult by market microstructure noise. Particle filtering has been proposed to solve this problem as it favorable statistical…

Statistical Finance · Quantitative Finance 2023-11-14 Robert Stok , Paul Bilokon

Recent studies have demonstrated the efficiency of Variational Autoencoders (VAE) to compress high-dimensional implied volatility surfaces into a low dimensional representation. Although this method can be effectively used for pricing…

Computational Finance · Quantitative Finance 2022-12-09 Sándor Kunsági-Máté , Gábor Fáth , István Csabai , Gábor Molnár-Sáska

Recent progress in the development of efficient computational algorithms to price financial derivatives is summarized. A first algorithm is based on a path integral approach to option pricing, while a second algorithm makes use of a neural…

Statistical Mechanics · Physics 2009-11-07 G. Montagna , M. Morelli , O. Nicrosini , P. Amato , M. Farina

Predicting firm's failure is one of the most interesting subjects for investors and decision makers. In this paper, a bankruptcy prediction model is proposed based on Artificial Neural networks (ANN). Taking into consideration that the…

Risk Management · Quantitative Finance 2019-07-30 Fatima Zahra Azayite , Said Achchab

We develop a data-driven model, introducing recent advances in machine learning to reservoir simulation. We use a conventional reservoir modeling tool to generate training set and a special ensemble of artificial neural networks (ANNs) to…

Geophysics · Physics 2019-05-21 Oleg Sudakov , Dmitri Koroteev , Boris Belozerov , Evgeny Burnaev

An artificial neural network (ANN) is investigated as a tool for estimating rate coefficients for the collisional excitation of molecules. The performance of such a tool can be evaluated by testing it on a dataset of collisionally-induced…

Instrumentation and Methods for Astrophysics · Physics 2014-11-20 David A. Neufeld

In the present paper a newer application of Artificial Neural Network (ANN) has been developed i.e., predicting response-function results of electrical-mechanical system through ANN. This method is specially useful to complex systems for…

Neural and Evolutionary Computing · Computer Science 2011-11-09 R. C. Gupta , Ankur Agarwal , Ruchi Gupta , Sanjay Gupta

Recently artificial neural networks (ANNs) have seen success in volatility prediction, but the literature is divided on where an ANN should be used rather than the common GARCH model. The purpose of this study is to compare the volatility…

Computational Finance · Quantitative Finance 2021-10-19 Curtis Nybo

Probabilistic artificial neural networks offer intriguing prospects for enabling the uncertainty of artificial intelligence methods to be described explicitly in their function; however, the development of techniques that quantify…

Artificial Intelligence · Computer Science 2023-11-23 James B. Aimone , William Severa , J. Darby Smith

This research investigates the performance and efficacy of machine learning models in stock prediction, comparing Artificial Neural Networks (ANNs), Quantum Qubit-based Neural Networks (QQBNs), and Quantum Qutrit-based Neural Networks…

Artificial Intelligence · Computer Science 2026-04-22 Kanishk Bakshi , Kathiravan Srinivasan

We propose a method utilizing physics-informed neural networks (PINNs) to solve Poisson equations that serve as control variates in the computation of transport coefficients via fluctuation formulas, such as the Green--Kubo and generalized…

Numerical Analysis · Mathematics 2024-12-20 Grigorios Pavliotis , Renato Spacek , Gabriel Stoltz , Urbain Vaes

In this paper, we propose a generative adversarial network (GAN) approach for efficiently computing volatility surfaces. The idea is to make use of the special GAN neural architecture so that on one hand, we can learn volatility surfaces…

Computational Finance · Quantitative Finance 2023-12-27 Andrew Na , Meixin Zhang , Justin Wan

This work considers the trade-off between accuracy and test-time computational cost of deep neural networks (DNNs) via \emph{anytime} predictions from auxiliary predictions. Specifically, we optimize auxiliary losses jointly in an…

Machine Learning · Computer Science 2018-05-28 Hanzhang Hu , Debadeepta Dey , Martial Hebert , J. Andrew Bagnell

Using the option delta systematically, we derive tighter lower and upper bounds of the Black-Scholes implied volatility than those in Tehranchi [SIAM J. Financ. Math. 7 (2016), 893-916]. As an application, we propose a Newton-Raphson…

Mathematical Finance · Quantitative Finance 2024-10-04 Jaehyuk Choi , Jeonggyu Huh , Nan Su

This paper investigates the use of artificial neural networks (ANNs) to replace traditional algorithms and manual review for identifying anomalies in vehicle run data. The specific data used for this study is from undersea vehicle…

Neural and Evolutionary Computing · Computer Science 2016-03-17 Adam J. Last