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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

The Black-Scholes Option pricing model (BSOPM) has long been in use for valuation of equity options to find the prices of stocks. In this work, using BSOPM, we have come up with a comparative analytical approach and numerical technique to…

Statistical Finance · Quantitative Finance 2018-12-31 Reaz Chowdhury , M. R. C. Mahdy , Tanisha Nourin Alam , Golam Dastegir Al Quaderi

Much research has been done to analyze the stock market. After all, if one can determine a pattern in the chaotic frenzy of transactions, then they could make a hefty profit from capitalizing on these insights. As such, the goal of our…

Machine Learning · Computer Science 2025-05-27 Ziyi Zhou , Nicholas Stern , Julien Laasri

We study neural networks as nonparametric estimation tools for the hedging of options. To this end, we design a network, named HedgeNet, that directly outputs a hedging strategy. This network is trained to minimise the hedging error instead…

Risk Management · Quantitative Finance 2021-06-15 Johannes Ruf , Weiguan Wang

In the framework of Black-Scholes-Merton model of financial derivatives, a path integral approach to option pricing is presented. A general formula to price European path dependent options on multidimensional assets is obtained and…

Other Condensed Matter · Physics 2008-12-02 G. Bormetti , G. Montagna , N. Moreni , O. Nicrosini

Neural networks with sufficiently smooth activation functions can approximate values and derivatives of any smooth function, and they are differentiable themselves. We improve the approximation capability of neural networks by utilizing the…

Computational Engineering, Finance, and Science · Computer Science 2020-07-03 Sang-Mun Chi

Stock trading is one of the popular ways for financial management. However, the market and the environment of economy is unstable and usually not predictable. Furthermore, engaging in stock trading requires time and effort to analyze,…

Machine Learning · Computer Science 2025-05-20 Yunfei Luo , Zhangqi Duan

This paper is to explore the possibility to use alternative data and artificial intelligence techniques to trade stocks. The efficacy of the daily Twitter sentiment on predicting the stock return is examined using machine learning methods.…

Artificial Intelligence · Computer Science 2018-01-09 Catherine Xiao , Wanfeng Chen

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

Options are contingent claims regarding the value of underlying assets. The Black-Scholes formula provides a road map for pricing these options in a risk-neutral setting, justified by a delta hedging argument in which countervailing…

Mathematical Finance · Quantitative Finance 2026-05-26 Erina Nanyonga , Matt Davison

This article leverages deep reinforcement learning (DRL) to hedge American put options, utilizing the deep deterministic policy gradient (DDPG) method. The agents are first trained and tested with Geometric Brownian Motion (GBM) asset paths…

Risk Management · Quantitative Finance 2024-05-14 Reilly Pickard , Finn Wredenhagen , Julio DeJesus , Mario Schlener , Yuri Lawryshyn

Algorithmic trading or Financial robots have been conquering the stock markets with their ability to fathom complex statistical trading strategies. But with the recent development of deep learning technologies, these strategies are becoming…

Portfolio Management · Quantitative Finance 2024-05-06 Ashish Anil Pawar , Vishnureddy Prashant Muskawar , Ritesh Tiku

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

Constraint handling plays a key role in solving realistic complex optimization problems. Though intensively discussed in the last few decades, existing constraint handling techniques predominantly rely on human experts' designs, which more…

Neural and Evolutionary Computing · Computer Science 2026-02-03 Qianhao Zhu , Sijie Ma , Zeyuan Ma , Hongshu Guo , Yue-Jiao Gong

An investor faced with a contingent claim may eliminate risk by perfect hedging, but as it is often quite expensive, he seeks partial hedging (quantile hedging or efficient hedging) that requires less capital and reduces the risk. Efficient…

Pricing of Securities · Quantitative Finance 2014-03-31 Kyong-Hui Kim , Myong-Guk Sin

Recently, reinforcement learning has achieved remarkable results in various domains, including robotics, games, natural language processing, and finance. In the financial domain, this approach has been applied to tasks such as portfolio…

Computational Finance · Quantitative Finance 2025-08-07 Caio de Souza Barbosa Costa , Anna Helena Reali Costa

Proof that under simple assumptions, such as constraints of Put-Call Parity, the probability measure for the valuation of a European option has the mean derived from the forward price which can, but does not have to be the risk-neutral one,…

Mathematical Finance · Quantitative Finance 2016-09-05 Nassim N. Taleb

This paper presents a novel way to apply mathematical finance and machine learning (ML) to forecast stock options prices. Following results from the paper Quasi-Reversibility Method and Neural Network Machine Learning to Solution of…

Statistical Finance · Quantitative Finance 2022-12-13 Zheng Cao , Wenyu Du , Kirill V. Golubnichiy

Artificial intelligence algorithms are increasingly used by firms to set prices. Previous research shows that they can exhibit collusive behaviour, but how quickly they can do so has so far remained an open question. I show that a modern…

General Economics · Economics 2026-04-20 Kevin Michael Frick

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