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Traditional machine learning methods have been widely studied in financial innovation. My study focuses on the application of deep learning methods on asset pricing. I investigate various deep learning methods for asset pricing, especially…

Statistical Finance · Quantitative Finance 2022-09-27 Chen Zhang

Following the foundational work of the Black--Scholes model, extensive research has been developed to price the option by addressing its underlying assumptions and associated pricing biases. This study introduces a novel framework for…

Mathematical Finance · Quantitative Finance 2025-08-21 Tapan Kar , Suprio Bhar , Barun Sarkar , Sesha Meka

We consider two data-driven approaches to hedging, Reinforcement Learning and Deep Trajectory-based Stochastic Optimal Control, under a stepwise mean-variance objective. We compare their performance for a European call option in the…

Computational Finance · Quantitative Finance 2023-11-22 Ali Fathi , Bernhard Hientzsch

As the number of publicly traded companies as well as the amount of their financial data grows rapidly, it is highly desired to have tracking, analysis, and eventually stock selections automated. There have been few works focusing on…

Statistical Finance · Quantitative Finance 2014-06-04 Sercan Arik , Sukru Burc Eryilmaz , Adam Goldberg

Stochastic differential equation (SDE) models are the foundation for pricing and hedging financial derivatives. The drift and volatility functions in SDE models are typically chosen to be algebraic functions with a small number (less than…

Computational Finance · Quantitative Finance 2024-06-04 Lei Fan , Justin Sirignano

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 this paper we introduce a new approach to model-free path-dependent option pricing. We first introduce a general duality result for linear optimisation problems over signed measures introduced in [3] and show how the the problem of…

Pricing of Securities · Quantitative Finance 2015-01-16 Raphael Hauser , Sergey Shahverdyan

In this paper, we present a data-driven ensemble approach for option price prediction whose derivation is based on the no-arbitrage theory of option pricing. Using the theoretical treatment, we derive a common representation space for…

Mathematical Finance · Quantitative Finance 2026-03-10 Anindya Goswami , Nimit Rana

Prediction of future movement of stock prices has always been a challenging task for the researchers. While the advocates of the efficient market hypothesis (EMH) believe that it is impossible to design any predictive framework that can…

Statistical Finance · Quantitative Finance 2021-09-03 Sidra Mehtab , Jaydip Sen

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

Stock price prediction is a complicated and interesting task. Noisy trends make stock pricing sensitive and complicated while the economical motivation behind, keeps it interesting for researchers and investors. In this paper we are to…

Optimization and Control · Mathematics 2023-12-19 Negin Bagherpour

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

This paper develops three polynomial-time pricing techniques for European Asian options with provably small errors, where the stock prices follow binomial trees or trees of higher-degree. The first technique is the first known Monte Carlo…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Karhan Akcoglu , Ming-Yang Kao , Shuba Raghavan

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

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 proposed classification models that utilize the result from the Quasi-Reversibility Method, which solves the Black-Scholes equation to forecast the option prices one day in advance. Combining the minimizer from QRM with our machine…

Optimization and Control · Mathematics 2025-01-28 Benjamin Jiang , Matthieu Durieux , Kirill V. Golubnichiy

This study investigates enhancing option pricing by extending the Black-Scholes model to include stochastic volatility and interest rate variability within the Partial Differential Equation (PDE). The PDE is solved using the finite…

Numerical Analysis · Mathematics 2025-04-15 Nikhil Shivakumar Nayak

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

The paper focuses on predicting the Nifty 50 Index by using 8 Supervised Machine Learning Models. The techniques used for empirical study are Adaptive Boost (AdaBoost), k-Nearest Neighbors (kNN), Linear Regression (LR), Artificial Neural…

Statistical Finance · Quantitative Finance 2022-02-21 Gurjeet Singh

We propose a machine learning-based extension of the classical binomial option pricing model that incorporates key market microstructure effects. Traditional models assume frictionless markets, overlooking empirical features such as bid-ask…

Computational Finance · Quantitative Finance 2025-07-23 Akash Deep , Chris Monico , W. Brent Lindquist , Svetlozar T. Rachev , Frank J. Fabozzi