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Reliable uncertainty quantification on RUL prediction is crucial for informative decision-making in predictive maintenance. In this context, we assess some of the latest developments in the field of uncertainty quantification for…

Machine Learning · Computer Science 2023-02-10 Luis Basora , Arthur Viens , Manuel Arias Chao , Xavier Olive

In this paper we propose an efficient method to compute the price of multi-asset American options, based on Machine Learning, Monte Carlo simulations and variance reduction technique. Specifically, the options we consider are written on a…

Computational Finance · Quantitative Finance 2019-12-04 Ludovic Goudenège , Andrea Molent , Antonino Zanette

Researchers have been using Neural Networks and other related machine-learning techniques to price options since the early 1990s. After three decades of improvements in machine learning techniques, computational processing power, cloud…

Pricing of Securities · Quantitative Finance 2023-07-04 Juan Esteban Berger

We consider the pricing of American put options in a model-independent setting: that is, we do not assume that asset prices behave according to a given model, but aim to draw conclusions that hold in any model. We incorporate market…

Pricing of Securities · Quantitative Finance 2013-01-24 Alexander M. G. Cox , Christoph Hoeggerl

Consider a discrete finite-dimensional, Markovian market model. In this setting, discretely sampled American options can be priced using the so-called ``non-recombining'' tree algorithm. By successively increasing the number of exercise…

Probability · Mathematics 2007-05-23 Frederik S Herzberg

The aim of this study was to develop methods for evaluating the American-style option prices when the volatility of the underlying asset is described by a stochastic process. As part of this problem were developed techniques for modeling…

Pricing of Securities · Quantitative Finance 2010-09-29 Yu. A. Kuperin , P. A. Poloskov

Characterization of the American put option price is still an open issue. From the beginning of the nineties there exists a non-closed formula for this price but nontrivial numerical computations are required to solve it. Strong efforts…

Other Condensed Matter · Physics 2008-12-02 Hans-Peter Bermin , Arturo Kohatsu-Higa , Josep Perello

A model is proposed for Bitcoin prices that takes into account market attention. Market attention, modeled by a mean-reverting Cox-Ingersoll-Ross processes, affects the volatility of Bitcoin returns, with some delay. The model is affine and…

Pricing of Securities · Quantitative Finance 2024-01-17 Alvaro Guinea Julia , Alet Roux

Inspired by the recently proposed Kolmogorov-Arnold Networks (KANs), we introduce the KAN-based Option Pricing (KANOP) model to value American-style options, building on the conventional Least Square Monte Carlo (LSMC) algorithm. KANs,…

Computational Finance · Quantitative Finance 2024-10-02 Rushikesh Handal , Kazuki Matoya , Yunzhuo Wang , Masanori Hirano

American options in a multi-asset market model with proportional transaction costs are studied in the case when the holder of an option is able to exercise it gradually at a so-called mixed (randomised) stopping time. The introduction of…

Pricing of Securities · Quantitative Finance 2013-08-14 Alet Roux , Tomasz Zastawniak

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

The application of deep learning techniques for predicting stock market prices is a prominent and widely researched topic in the field of data science. To effectively predict market trends, it is essential to utilize a diversified dataset.…

Computational Finance · Quantitative Finance 2024-07-18 Yuhui Jin

For the Barndorff-Nielsen and Shephard model, we present approximate expressions of call option prices based on the decomposition formula developed by Arai (2021). Besides, some numerical experiments are also implemented to make sure how…

Mathematical Finance · Quantitative Finance 2021-04-23 Takuji Arai

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

Binary Neural Networks (BNNs) have emerged as a promising solution for reducing the memory footprint and compute costs of deep neural networks, but they suffer from quality degradation due to the lack of freedom as activations and weights…

Computer Vision and Pattern Recognition · Computer Science 2023-10-20 Changhun Lee , Hyungjun Kim , Eunhyeok Park , Jae-Joon Kim

We introduce a novel approach to options trading strategies using a highly scalable and data-driven machine learning algorithm. In contrast to traditional approaches that often require specifications of underlying market dynamics or…

Portfolio Management · Quantitative Finance 2024-11-22 Wee Ling Tan , Stephen Roberts , Stefan Zohren

This article presents fast lower and upper estimates for a large class of options: the class of constrained multiple exercise American options. Typical options in this class are swing options with volume and timing constraints, and passport…

Computational Finance · Quantitative Finance 2020-02-27 Nicolas Essis-Breton , Patrice Gaillardetz

We study an alternative use of machine learning. We train neural nets to provide the parameter estimate of a given (structural) econometric model, for example, discrete choice or consumer search. Training examples consist of datasets…

Econometrics · Economics 2025-02-10 Yanhao , Wei , Zhenling Jiang

This research paper explores the performance of Machine Learning (ML) algorithms and techniques that can be used for financial asset price forecasting. The prediction and forecasting of asset prices and returns remains one of the most…

Statistical Finance · Quantitative Finance 2020-04-06 Philip Ndikum

In the paper, we propose a new calculation scheme for American options in the framework of a forward backward stochastic differential equation (FBSDE). The well-known decomposition of an American option price with that of a European option…

Computational Finance · Quantitative Finance 2012-11-27 Masaaki Fujii , Seisho Sato , Akihiko Takahashi