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Although stochastic volatility and GARCH (generalized autoregressive conditional heteroscedasticity) models have successfully described the volatility dynamics of univariate asset returns, extending them to the multivariate models with…

Econometrics · Economics 2020-10-09 Yuta Yamauchi , Yasuhiro Omori

We propose a novel class of multivariate GARCH models that incorporate realized measures of volatility and correlations. The key innovation is an unconstrained vector parametrization of the conditional correlation matrix, which enables the…

Econometrics · Economics 2025-02-07 Ilya Archakov , Peter Reinhard Hansen , Asger Lunde

In this paper, we propose the realized Hyperbolic GARCH model for the joint-dynamics of lowfrequency returns and realized measures that generalizes the realized GARCH model of Hansen et al.(2012) as well as the FLoGARCH model introduced by…

Methodology · Statistics 2021-04-27 El Hadji Mamadou Sall , El Hadji Deme , Abdou Ka Diongue

This paper examines volatility in REITs using a multivariate GARCH based model. The Multivariate VAR-GARCH technique documents the return and volatility linkages between REIT sub-sectors and also examines the influence of other US equity…

Statistical Finance · Quantitative Finance 2011-03-30 John Cotter , Simon Stevenson

Various parametric volatility models for financial data have been developed to incorporate high-frequency realized volatilities and better capture market dynamics. However, because high-frequency trading data are not available during the…

Statistical Finance · Quantitative Finance 2022-06-20 Donggyu Kim , Minseok Shin , Yazhen Wang

We develop a procedure for forecasting the volatility of a time series immediately following a news shock. Adapting the similarity-based framework of Lin and Eck (2020), we exploit series that have experienced similar shocks. We aggregate…

Methodology · Statistics 2024-08-08 David P. Lundquist , Daniel J. Eck

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

We examine how the most prevalent stochastic properties of key financial time series have been affected during the recent financial crises. In particular we focus on changes associated with the remarkable economic events of the last two…

General Finance · Quantitative Finance 2014-03-28 Menelaos Karanasos , Alexandros Paraskevopoulos , Faek Menla Ali , Michail Karoglou , Stavroula Yfanti

In extracting time series data from various sources, it is inevitable to compile variables measured at varying frequencies as this is often dependent on the source. Modeling from these data can be facilitated by aggregating high frequency…

Methodology · Statistics 2025-03-05 Jetrei Benedick R. Benito , Joseph Ryan G. Lansangan , Erniel B. Barrios

This paper seeks to forecast intraday volatility curves for major foreign exchange (FX) currencies using functional GARCH models. Intraday return curves are observed at a daily frequency, yet preserve the full high-frequency trading…

Methodology · Statistics 2025-10-01 Fearghal Kearney , Han Lin Shang , Yuqian Zhao

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

This paper introduces a novel quantile approach to harness the high-frequency information and improve the daily conditional quantile estimation. Specifically, we model the conditional standard deviation as a realized GARCH model and employ…

Methodology · Statistics 2021-08-05 Donggyu Kim , Minseog Oh , Yazhen Wang

We study, both analytically and numerically, an ARCH-like, multiscale model of volatility, which assumes that the volatility is governed by the observed past price changes on different time scales. With a power-law distribution of time…

Physics and Society · Physics 2008-12-02 L. Borland , J. -Ph. Bouchaud

One of the most important features of financial time series data is volatility. There are often structural changes in volatility over time, and an accurate estimation of the volatility of financial time series requires careful…

Methodology · Statistics 2022-10-24 Huaiyu Hu , Ashis Gangopadhyay

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 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

Range-measured return contains more information than the traditional scalar-valued return. In this paper, we propose to model the [low, high] price range as a random interval and suggest an interval-valued GARCH (Int-GARCH) model for the…

Methodology · Statistics 2019-01-11 Yan Sun , Guanghua Lian , Zudi Lu , Jennifer Loveland , Isaac Blackhurst

In this paper we use Gaussian Process (GP) regression to propose a novel approach for predicting volatility of financial returns by forecasting the envelopes of the time series. We provide a direct comparison of their performance to…

Machine Learning · Statistics 2017-05-03 Syed Ali Asad Rizvi , Stephen J. Roberts , Michael A. Osborne , Favour Nyikosa

This study aims to compare multiple deep learning-based forecasters for the task of predicting volatility using multivariate data. The paper evaluates a range of models, starting from simpler and shallower ones and progressing to deeper and…

Statistical Finance · Quantitative Finance 2023-06-26 Wenbo Ge , Pooia Lalbakhsh , Leigh Isai , Artem Lensky , Hanna Suominen

In this chapter, we consider volatility swap, variance swap and VIX future pricing under different stochastic volatility models and jump diffusion models which are commonly used in financial market. We use convexity correction approximation…

Mathematical Finance · Quantitative Finance 2017-12-08 Anatoliy Swishchuk , Zijia Wang