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Recent empirical studies suggest that the volatility of an underlying price process may have correlations that decay slowly under certain market conditions. In this paper, the volatility is modeled as a stationary process with long-range…

Pricing of Securities · Quantitative Finance 2018-04-17 Josselin Garnier , Knut Solna

Deep hedging trains neural networks to manage derivative risk under market frictions, but produces hedge ratios with no measure of model confidence -- a significant barrier to deployment. We introduce uncertainty quantification to the deep…

Computational Finance · Quantitative Finance 2026-03-12 Manan Poddar

Deep learning methods have become a widespread toolbox for pricing and calibration of financial models. While they often provide new directions and research results, their `black box' nature also results in a lack of interpretability. We…

Computational Finance · Quantitative Finance 2024-12-02 Bo Yuan , Damiano Brigo , Antoine Jacquier , Nicola Pede

Deep neural networks has been increasingly applied in fault diagnostics, where it uses historical data to capture systems behavior, bypassing the need for high-fidelity physical models. However, despite their competence in prediction tasks,…

Machine Learning · Computer Science 2025-09-24 Arman Mohammadi , Mattias Krysander , Daniel Jung , Erik Frisk

Volatility measures the amplitude of price fluctuations. Despite it is one of the most important quantities in finance, volatility is not directly observable. Here we apply a maximum likelihood method which assumes that price and volatility…

Computational Finance · Quantitative Finance 2012-09-03 Jordi Camprodon , Josep Perelló

The paper examines the performance of regression models (OLS linear regression, Ridge regression, Random Forest, and Fully-connected Neural Network) on the prediction of CMA (Conservative Minus Aggressive) factor premium and the performance…

Portfolio Management · Quantitative Finance 2024-07-23 Prabhu Prasad Panda , Maysam Khodayari Gharanchaei , Xilin Chen , Haoshu Lyu

Mathematical modelling is ubiquitous in the financial industry and drives key decision processes. Any given model provides only a crude approximation to reality and the risk of using an inadequate model is hard to detect and quantify. By…

Mathematical Finance · Quantitative Finance 2020-07-09 Patryk Gierjatowicz , Marc Sabate-Vidales , David Šiška , Lukasz Szpruch , Žan Žurič

In financial markets, accurately measuring the risk of future fluctuations in asset prices is of paramount importance. Studies such as Carr and Madan have shown that the expected value of the quadratic variation of log prices can be…

Mathematical Finance · Quantitative Finance 2026-05-19 Masaaki Fukasawa , Shunta Murayama

We propose three different data-driven approaches for pricing European-style call options using supervised machine-learning algorithms. These approaches yield models that give a range of fair prices instead of a single price point. The…

Statistical Finance · Quantitative Finance 2020-12-08 Anindya Goswami , Sharan Rajani , Atharva Tanksale

We consider the problem of dynamic pricing of a product in the presence of feature-dependent price sensitivity. Developing practical algorithms that can estimate price elasticities robustly, especially when information about no purchases…

Machine Learning · Statistics 2022-12-21 Ravi Kumar , Shahin Boluki , Karl Isler , Jonas Rauch , Darius Walczak

A key factor for ensuring safety in Autonomous Vehicles (AVs) is to avoid any abnormal behaviors under undesirable and unpredicted circumstances. As AVs increasingly rely on Deep Neural Networks (DNNs) to perform safety-critical tasks,…

Machine Learning · Computer Science 2020-07-03 Fabio Arnez , Huascar Espinoza , Ansgar Radermacher , François Terrier

We consider robust pricing and hedging for options written on multiple assets given market option prices for the individual assets. The resulting problem is called the multi-marginal martingale optimal transport problem. We propose two…

Probability · Mathematics 2020-10-08 Stephan Eckstein , Gaoyue Guo , Tongseok Lim , Jan Obloj

In the face of increasing financial uncertainty and market complexity, this study presents a novel risk-aware financial forecasting framework that integrates advanced machine learning techniques with intuitionistic fuzzy multi-criteria…

Statistical Finance · Quantitative Finance 2025-12-23 Safiye Turgay , Serkan Erdoğan , Željko Stević , Orhan Emre Elma , Tevfik Eren , Zhiyuan Wang , Mahmut Baydaş

Virtual Diagnostic (VD) is a deep learning tool that can be used to predict a diagnostic output. VDs are especially useful in systems where measuring the output is invasive, limited, costly or runs the risk of damaging the output. Given a…

Accelerator Physics · Physics 2021-08-02 Owen Convery , Lewis Smith , Yarin Gal , Adi Hanuka

Evaluating financial products with early-termination clauses, in particular those with path-dependent structures, is challenging. This paper focuses on Asian options, look-back options, and callable certificates. We will compare regression…

Pricing of Securities · Quantitative Finance 2025-07-21 Matteo Gambara , Giulia Livieri , Andrea Pallavicini

Neural networks have been used as a nonparametric method for option pricing and hedging since the early 1990s. Far over a hundred papers have been published on this topic. This note intends to provide a comprehensive review. Papers are…

Computational Finance · Quantitative Finance 2020-05-12 Johannes Ruf , Weiguan Wang

We investigate the use of path signatures in a machine learning context for hedging exotic derivatives under non-Markovian stochastic volatility models. In a deep learning setting, we use signatures as features in feedforward neural…

Machine Learning · Statistics 2025-08-12 Eduardo Abi Jaber , Louis-Amand Gérard

Unlabeled data are increasingly prevalent in contemporary economic studies, yet their effective use for improving prediction remains challenging because the outcomes are often costly or even infeasible to observe. Machine learning methods…

Methodology · Statistics 2026-05-12 Fuzhi Xu , Xingyu Yan , Xinyu Zhang

A new method for stochastic control based on neural networks and using randomisation of discrete random variables is proposed and applied to optimal stopping time problems. The method models directly the policy and does not need the…

Computational Finance · Quantitative Finance 2021-01-11 Thomas Deschatre , Joseph Mikael

In this paper we survey the most recent advances in supervised machine learning and high-dimensional models for time series forecasting. We consider both linear and nonlinear alternatives. Among the linear methods we pay special attention…

Econometrics · Economics 2021-04-12 Ricardo P. Masini , Marcelo C. Medeiros , Eduardo F. Mendes
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