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This paper proposes the Exact Terminal Condition Neural Network (ETCNN), a deep learning framework for accurately pricing American options by solving the Black-Scholes-Merton (BSM) equations. The ETCNN incorporates carefully designed…

Computational Finance · Quantitative Finance 2025-11-03 Wenxuan Zhang , Yixiao Guo , Benzhuo Lu

The objective of this paper is to introduce the theory of option pricing for markets with informed traders within the framework of dynamic asset pricing theory. We introduce new models for option pricing for informed traders in complete…

Mathematical Finance · Quantitative Finance 2020-08-13 Yuan Hu , Abootaleb Shirvani , Stoyan Stoyanov , Young Shin Kim , Frank J. Fabozzi , Svetlozar T. Rachev

The research paper empirically investigates several machine learning algorithms to forecast stock prices depending on insider trading information. Insider trading offers special insights into market sentiment, pointing to upcoming changes…

Machine Learning · Computer Science 2025-07-08 Amitabh Chakravorty , Nelly Elsayed

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

Black-Scholes (BS) is the standard mathematical model for option pricing in financial markets. Option prices are calculated using an analytical formula whose main inputs are strike (at which price to exercise) and volatility. The BS…

Mathematical Finance · Quantitative Finance 2020-07-14 Tushar Vaidya , Carlos Murguia , Georgios Piliouras

Deep hedging is a framework for hedging derivatives in the presence of market frictions. In this study, we focus on the problem of hedging a given target option by using multiple options. To extend the deep hedging framework to this…

Computational Finance · Quantitative Finance 2023-05-23 Masanori Hirano , Kentaro Imajo , Kentaro Minami , Takuya Shimada

The limitations of the classical Black-Scholes model are examined by comparing calculated and actual historical prices of European call options on stocks from several sectors of the S&P 500. Persistent differences between the two prices…

Pricing of Securities · Quantitative Finance 2022-08-30 Anantya Bhatnagar , Dimitri D. Vvedensky

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

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

In this paper an improved Cuckoo Search Algorithm is developed to allow for an efficient and robust calibration of the Heston option pricing model for American options. Calibration of stochastic volatility models like the Heston is…

Neural and Evolutionary Computing · Computer Science 2015-08-03 Stefan Haring , Ronald Hochreiter

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

As these attacks become more and more difficult to see, the need for the great hi-tech models that detect them is undeniable. This paper examines and compares various machine learning as well as deep learning models to choose the most…

Cryptography and Security · Computer Science 2024-07-09 Momen Hesham , Mohamed Essam , Mohamed Bahaa , Ahmed Mohamed , Mohamed Gomaa , Mena Hany , Wael Elsersy

This study investigates the efficacy of machine learning models for predicting house rental prices in Ghana, addressing the need for accurate and accessible housing market information. Utilising a comprehensive dataset of rental listings,…

Machine Learning · Computer Science 2025-01-14 Philip Adzanoukpe

Machine learning (ML) estimates of conditional average treatment effects (CATE) can guide policy decisions, either by allowing targeting of individuals with beneficial CATE estimates, or as inputs to decision trees that optimise overall…

Econometrics · Economics 2023-10-04 Julia Hatamyar , Noemi Kreif

Performance complementarity of solvers available to tackle black-box optimization problems gives rise to the important task of algorithm selection (AS). Automated AS approaches can help replace tedious and labor-intensive manual selection,…

Neural and Evolutionary Computing · Computer Science 2023-07-03 Ana Kostovska , Anja Jankovic , Diederick Vermetten , Sašo Džeroski , Tome Eftimov , Carola Doerr

We propose a gradient-based deep learning framework to calibrate the Heston option pricing model (Heston, 1993). Our neural network, henceforth deep differential network (DDN), learns both the Heston pricing formula for plain-vanilla…

Computational Finance · Quantitative Finance 2026-05-15 Giovanni Amici , Marco Morandotti , Chen Zhang

We introduce a novel and highly tractable supervised learning approach based on neural networks that can be applied for the computation of model-free price bounds of, potentially high-dimensional, financial derivatives and for the…

Computational Finance · Quantitative Finance 2022-12-15 Ariel Neufeld , Julian Sester

In this essay, we have comprehensively evaluated the feasibility and suitability of adopting the Machine Learning Models on the forecast of corporation fundamentals (i.e. the earnings), where the prediction results of our method have been…

Statistical Finance · Quantitative Finance 2020-05-29 Xinyue Cui , Zhaoyu Xu , Yue Zhou

Financial markets have a vital role in the development of modern society. They allow the deployment of economic resources. Changes in stock prices reflect changes in the market. In this study, we focus on predicting stock prices by deep…

Machine Learning · Computer Science 2019-09-27 Jialin Liu , Fei Chao , Yu-Chen Lin , Chih-Min Lin

European options can be priced by solving parabolic partial(-integro) differential equations under stochastic volatility and jump-diffusion models like Heston, Merton, and Bates models. American option prices can be obtained by solving…

Computational Engineering, Finance, and Science · Computer Science 2016-12-04 Maciej Balajewicz , Jari Toivanen