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In this paper, we develop a hybrid approach to forecasting the volatility and risk of financial instruments by combining common econometric GARCH time series models with deep learning neural networks. For the latter, we employ Gated…

Risk Management · Quantitative Finance 2023-10-03 Jakub Michańków , Łukasz Kwiatkowski , Janusz Morajda

Volatility is a quantity of measurement for the price movements of stocks or options which indicates the uncertainty within financial markets. As an indicator of the level of risk or the degree of variation, volatility is important to…

Machine Learning · Computer Science 2018-11-12 Qiang Zhang , Rui Luo , Yaodong Yang , Yuanyuan Liu

Volatility, which indicates the dispersion of returns, is a crucial measure of risk and is hence used extensively for pricing and discriminating between different financial investments. As a result, accurate volatility prediction receives…

Computational Finance · Quantitative Finance 2024-10-02 Zeda Xu , John Liechty , Sebastian Benthall , Nicholas Skar-Gislinge , Christopher McComb

This work is devoted to the study of modeling geophysical and financial time series. A class of volatility models with time-varying parameters is presented to forecast the volatility of time series in a stationary environment. The modeling…

Volatility forecasting is essential for risk management and decision-making in financial markets. Traditional models like Generalized Autoregressive Conditional Heteroskedasticity (GARCH) effectively capture volatility clustering but often…

Mathematical Finance · Quantitative Finance 2024-10-23 Pulikandala Nithish Kumar , Nneka Umeorah , Alex Alochukwu

This paper presents a comparative analysis of univariate and multivariate GARCH-family models and machine learning algorithms in modeling and forecasting the volatility of major energy commodities: crude oil, gasoline, heating oil, and…

Econometrics · Economics 2024-05-31 Seulki Chung

Various spatiotemporal and network GARCH models have recently been proposed to capture volatility interactions, such as the transmission of market risk across financial networks. These approaches rely heavily on the specification of the…

Applications · Statistics 2026-03-03 Ariane N. Meli Chrisko , Jessie Li , Philipp Otto , Wolfgang Schmid

Predicting the S&P 500 index volatility is crucial for investors and financial analysts as it helps assess market risk and make informed investment decisions. Volatility represents the level of uncertainty or risk related to the size of…

Trading and Market Microstructure · Quantitative Finance 2024-07-25 Natalia Roszyk , Robert Ślepaczuk

Recently artificial neural networks (ANNs) have seen success in volatility prediction, but the literature is divided on where an ANN should be used rather than the common GARCH model. The purpose of this study is to compare the volatility…

Computational Finance · Quantitative Finance 2021-10-19 Curtis Nybo

Stock market volatility forecasting is a task relevant to assessing market risk. We investigate the interaction between news and prices for the one-day-ahead volatility prediction using state-of-the-art deep learning approaches. The…

Statistical Finance · Quantitative Finance 2018-12-31 Marcelo Sardelich , Suresh Manandhar

Several academics have studied the ability of hybrid models mixing univariate Generalized Autoregressive Conditional Heteroskedasticity (GARCH) models and neural networks to deliver better volatility predictions than purely econometric…

Statistical Finance · Quantitative Finance 2021-09-03 Lucien Boulet

This study addresses the computational challenges of forecasting volatility in high-dimensional commodity markets. Building on the Network log-ARCH framework, we introduce a novel class of network topologies from GARCH-informed correlation…

Econometrics · Economics 2026-02-23 Fayçal Djebari , Kahina Mehidi , Khelifa Mazouz , Philipp Otto

Events such as the Financial Crisis of 2007-2008 or the COVID-19 pandemic caused significant losses to banks and insurance entities. They also demonstrated the importance of using accurate equity risk models and having a risk management…

Computational Finance · Quantitative Finance 2021-09-28 Eduardo Ramos-Pérez , Pablo J. Alonso-González , José Javier Núñez-Velázquez

In this paper, we show that the recent integration of statistical models with deep recurrent neural networks provides a new way of formulating volatility (the degree of variation of time series) models that have been widely used in time…

Machine Learning · Computer Science 2018-12-06 Rui Luo , Weinan Zhang , Xiaojun Xu , Jun Wang

Volatility clustering and spillovers are key features of real-world financial time series when there are a lot of cross-sectional financial assets. While network analysis helps connect stocks that are 'similar' or 'correlated', which is…

Methodology · Statistics 2025-10-22 Peiyi Zhou

Volatility, as a measure of uncertainty, plays a crucial role in numerous financial activities such as risk management. The Econometrics and Machine Learning communities have developed two distinct approaches for financial volatility…

Statistical Finance · Quantitative Finance 2024-02-13 Pengfei Zhao , Haoren Zhu , Wilfred Siu Hung NG , Dik Lun Lee

This paper introduces a unique and valuable research design aimed at analyzing Bitcoin price volatility. To achieve this, a range of models from the Markov Switching-GARCH and Stochastic Autoregressive Volatility (SARV) model classes are…

Statistical Finance · Quantitative Finance 2024-01-12 Dennis Koch , Vahidin Jeleskovic , Zahid I. Younas

Standard methods and theories in finance can be ill-equipped to capture highly non-linear interactions in financial prediction problems based on large-scale datasets, with deep learning offering a way to gain insights into correlations in…

Computational Finance · Quantitative Finance 2020-04-22 Ben Moews , Gbenga Ibikunle

With the increasing volume of high-frequency data in the information age, both challenges and opportunities arise in the prediction of stock volatility. On one hand, the outcome of prediction using tradition method combining stock technical…

Statistical Finance · Quantitative Finance 2023-09-29 Wenting Liu , Zhaozhong Gui , Guilin Jiang , Lihua Tang , Lichun Zhou , Wan Leng , Xulong Zhang , Yujiang Liu

Volatility for financial assets returns can be used to gauge the risk for financial market. We propose a deep stochastic volatility model (DSVM) based on the framework of deep latent variable models. It uses flexible deep learning models to…

Machine Learning · Computer Science 2021-02-26 Xiuqin Xu , Ying Chen
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