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We present a parallel algorithm that computes the ask and bid prices of an American option when proportional transaction costs apply to the trading of the underlying asset. The algorithm computes the prices on recombining binomial trees,…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-10-12 Nan Zhang , Alet Roux , Tomasz Zastawniak

American put options are among the most frequently traded single stock options, and their calibration is computationally challenging since no closed-form expression is available. Due to the higher flexibility in comparison to European…

Numerical Analysis · Mathematics 2016-11-22 Olena Burkovska , Kathrin Glau , Mirco Mahlstedt , Barbara Wohlmuth

Many important resource allocation problems involve the combinatorial assignment of items, e.g., auctions or course allocation. Because the bundle space grows exponentially in the number of items, preference elicitation is a key challenge…

Computer Science and Game Theory · Computer Science 2023-03-14 Jakob Weissteiner , Jakob Heiss , Julien Siems , Sven Seuken

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

Accurate option pricing is essential for effective trading and risk management in financial markets, yet it remains challenging due to market volatility and the limitations of traditional models like Black-Scholes. In this paper, we…

Computational Engineering, Finance, and Science · Computer Science 2025-06-09 Feliks Bańka , Jarosław A. Chudziak

This paper proposes a data-driven approach, by means of an Artificial Neural Network (ANN), to value financial options and to calculate implied volatilities with the aim of accelerating the corresponding numerical methods. With ANNs being…

Computational Finance · Quantitative Finance 2024-12-20 Shuaiqiang Liu , Cornelis W. Oosterlee , Sander M. Bohte

In this paper we introduce a deep learning method for pricing and hedging American-style options. It first computes a candidate optimal stopping policy. From there it derives a lower bound for the price. Then it calculates an upper bound, a…

Computational Finance · Quantitative Finance 2021-03-23 Sebastian Becker , Patrick Cheridito , Arnulf Jentzen

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

An American option grants the holder the right to select the time at which to exercise the option, so pricing an American option entails solving an optimal stopping problem. Difficulties in applying standard numerical methods to complex…

Probability · Mathematics 2007-05-23 Paul Glasserman , Bin Yu

In this paper we propose two efficient techniques which allow one to compute the price of American basket options. In particular, we consider a basket of assets that follow a multi-dimensional Black-Scholes dynamics. The proposed…

Computational Finance · Quantitative Finance 2019-06-20 Ludovic Goudenège , Andrea Molent , Antonino Zanette

Stock exchanges are considered major players in financial sectors of many countries. Most Stockbrokers, who execute stock trade, use technical, fundamental or time series analysis in trying to predict stock prices, so as to advise clients.…

Statistical Finance · Quantitative Finance 2015-02-24 B. W. Wanjawa , L. Muchemi

An accurate prediction of crude oil prices over long future horizons is challenging and of great interest to governments, enterprises, and investors. This paper proposes a revised hybrid model built upon empirical mode decomposition (EMD)…

Machine Learning · Computer Science 2014-01-10 Tao Xiong , Yukun Bao , Zhongyi Hu

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 apply supervised deep neural networks (DNNs) for pricing and calibration of both vanilla and exotic options under both diffusion and pure jump processes with and without stochastic volatility. We train our neural network models under…

Pricing of Securities · Quantitative Finance 2019-02-18 Ali Hirsa , Tugce Karatas , Amir Oskoui

We apply a physics-informed deep-learning approach the PINN approach to the Black-Scholes equation for pricing American and European options. We test our approach on both simulated as well as real market data, compare it to…

Pricing of Securities · Quantitative Finance 2023-12-13 Ashish Dhiman , Yibei Hu

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

American options are the reference instruments for the model calibration of a large and important class of single stocks. For this task, a fast and accurate pricing algorithm is indispensable. The literature mainly discusses pricing methods…

Computational Finance · Quantitative Finance 2016-11-21 Olena Burkovska , Maximilian Gaß , Kathrin Glau , Mirco Mahlstedt , Wim Schoutens , Barbara Wohlmuth

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

In the modern power market, electricity trading is an extremely competitive industry. More accurate price forecast is crucial to help electricity producers and traders make better decisions. In this paper, a novel method of convolutional…

Signal Processing · Electrical Eng. & Systems 2020-03-17 Hsu-Yung Cheng , Ping-Huan Kuo , Yamin Shen , Chiou-Jye Huang

Pricing of exotic financial derivatives, such as Asian and multi-asset American basket options, poses significant challenges for standard numerical methods such as binomial trees or Monte Carlo methods. While the former often scales…

Computational Finance · Quantitative Finance 2025-05-26 Maarten van Damme , Rishi Sreedhar , Martin Ganahl