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This paper introduced key aspects of applying Machine Learning (ML) models, improved trading strategies, and the Quasi-Reversibility Method (QRM) to optimize stock option forecasting and trading results. It presented the findings of the…

Computational Finance · Quantitative Finance 2022-11-30 Zheng Cao , Raymond Guo , Wenyu Du , Jiayi Gao , Kirill V. Golubnichiy

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 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

In the previous paper (Inverse Problems, 32, 015010, 2016), a new heuristic mathematical model was proposed for accurate forecasting of prices of stock options for 1-2 trading days ahead of the present one. This new technique uses the…

Mathematical Finance · Quantitative Finance 2022-10-12 Michael V. Klibanov , Aleksander A. Shananin , Kirill V. Golubnichiy , Sergey M. Kravchenko

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

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

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 QLBS model is a discrete-time option hedging and pricing model that is based on Dynamic Programming (DP) and Reinforcement Learning (RL). It combines the famous Q-Learning method for RL with the Black-Scholes (-Merton) model's idea of…

Computational Finance · Quantitative Finance 2018-01-19 Igor Halperin

Extracting implied information, like volatility and/or dividend, from observed option prices is a challenging task when dealing with American options, because of the computational costs needed to solve the corresponding mathematical problem…

Computational Finance · Quantitative Finance 2020-02-05 Shuaiqiang Liu , Álvaro Leitao , Anastasia Borovykh , Cornelis W. Oosterlee

In a global derivatives market with notional values in the hundreds of trillions of dollars, the accuracy and efficiency of pricing models are of fundamental importance, with direct implications for risk management, capital allocation, and…

Quantum Physics · Physics 2026-04-23 Sebastian Zając , Rafał Pracht

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

Financial markets are difficult to predict due to its complex systems dynamics. Although there have been some recent studies that use machine learning techniques for financial markets prediction, they do not offer satisfactory performance…

Statistical Finance · Quantitative Finance 2022-01-31 Jia Wang , Tong Sun , Benyuan Liu , Yu Cao , Degang Wang

Predicting a fast and accurate model for stock price forecasting is been a challenging task and this is an active area of research where it is yet to be found which is the best way to forecast the stock price. Machine learning, deep…

Statistical Finance · Quantitative Finance 2024-02-13 Himanshu Gupta , Aditya Jaiswal

In this paper, we apply quantum machine learning (QML) to predict the stock prices of multiple assets using a contextual quantum neural network. Our approach captures recent trends to predict future stock price distributions, moving beyond…

Machine Learning · Computer Science 2026-02-17 Sharan Mourya , Hannes Leipold , Bibhas Adhikari

We propose a new cognitive framework for option price modelling, using quantum neural computation formalism. Briefly, when we apply a classical nonlinear neural-network learning to a linear quantum Schr\"odinger equation, as a result we get…

Computational Finance · Quantitative Finance 2009-03-19 Vladimir G. Ivancevic

Prediction of future movement of stock prices has been a subject matter of many research work. In this work, we propose a hybrid approach for stock price prediction using machine learning and deep learning-based methods. We select the NIFTY…

Statistical Finance · Quantitative Finance 2021-10-12 Sidra Mehtab , Jaydip Sen

Quantum Machine Learning (QML) offers a new paradigm for addressing complex financial problems intractable for classical methods. This work specifically tackles the challenge of few-shot credit risk assessment, a critical issue in inclusive…

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

Training a practical and effective model for stock selection has been a greatly concerned problem in the field of artificial intelligence. Even though some of the models from previous works have achieved good performance in the U.S. market…

Computational Finance · Quantitative Finance 2019-11-07 Junming Yang , Yaoqi Li , Xuanyu Chen , Jiahang Cao , Kangkang Jiang

A new mathematical model for the Black-Scholes equation is proposed to forecast option prices. This model includes new interval for the price of the underlying stock as well as new initial and boundary conditions. Conventional notions of…

Mathematical Finance · Quantitative Finance 2015-03-13 Michael V. Klibanov , Andrey V. Kuzhuget
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