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In the stochastic volatility models for multivariate daily stock returns, it has been found that the estimates of parameters become unstable as the dimension of returns increases. To solve this problem, we focus on the factor structure of…

Econometrics · Economics 2021-09-16 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

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 paper introduces a unified approach for modeling high-frequency financial data that can accommodate both the continuous-time jump-diffusion and discrete-time realized GARCH model by embedding the discrete realized GARCH structure in…

Methodology · Statistics 2020-06-16 Xinyu Song , Donggyu Kim , Huiling Yuan , Xiangyu Cui , Zhiping Lu , Yong Zhou , Yazhen Wang

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

We provide a simple method to estimate the parameters of multivariate stochastic volatility models with latent factor structures. These models are very useful as they alleviate the standard curse of dimensionality, allowing the number of…

Econometrics · Economics 2023-02-15 Giorgio Calzolari , Roxana Halbleib , Christian Mücher

We introduce a multivariate stochastic volatility model for asset returns that imposes no restrictions to the structure of the volatility matrix and treats all its elements as functions of latent stochastic processes. When the number of…

Machine Learning · Statistics 2017-01-09 P. Dellaportas , A. Plataniotis , M. K. Titsias

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

Multivariate Distributions are needed to capture the correlation structure of complex systems. In previous works, we developed a Random Matrix Model for such correlated multivariate joint probability density functions that accounts for the…

Statistical Finance · Quantitative Finance 2025-12-02 Anton J. Heckens , Efstratios Manolakis , Cedric Schuhmann , Thomas Guhr

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…

We investigate a solution for the problems related to the application of multivariate GARCH models to markets with a large number of stocks by restricting the form of the conditional covariance matrix. The model is a factor model and uses…

General Finance · Quantitative Finance 2021-12-03 Matthias Raddant , Friedrich Wagner

A plethora of static and dynamic models exist to forecast Value-at-Risk and other quantile-related metrics used in financial risk management. Industry practice tends to favour simpler, static models such as historical simulation or its…

Methodology · Statistics 2022-03-11 Carol Alexander , Yang Han

We suggest two classes of multivariate GARCH--models which are both easy to estimate and perform well in forecasting the covariance matrix of more than one hundred stocks. We apply methods from random matrix theory (RMT) to determine the…

Condensed Matter · Physics 2007-05-23 C. Reese , B. Rosenow

We introduce a heterogeneous spatiotemporal GARCH model for geostatistical data or processes on networks, e.g., for modelling and predicting financial return volatility across firms in a latent spatial framework. The model combines…

Statistical Finance · Quantitative Finance 2025-08-29 Atika Aouri , Philipp Otto

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

The stochastic volatility model is one of volatility models which infer latent volatility of asset returns. The Bayesian inference of the stochastic volatility (SV) model is performed by the hybrid Monte Carlo (HMC) algorithm which is…

Computational Finance · Quantitative Finance 2014-08-06 Tetsuya Takaishi

Accurate forecasting of volatility and return quantiles is essential for evaluating financial tail risks such as value-at-risk and expected shortfall. This study proposes an extension of the traditional stochastic volatility model, termed…

Econometrics · Economics 2026-02-02 Makoto Takahashi , Yuta Yamauchi , Toshiaki Watanabe , Yasuhiro Omori

This paper proposes an enhanced approach to modeling and forecasting volatility using high frequency data. Using a forecasting model based on Realized GARCH with multiple time-frequency decomposed realized volatility measures, we study the…

Statistical Finance · Quantitative Finance 2015-02-04 Jozef Barunik , Tomas Krehlik , Lukas Vacha

In an asset return series there is a conditional asymmetric dependence between current return and past volatility depending on the current return's sign. To take into account the conditional asymmetry, we introduce new models for asset…

Statistical Finance · Quantitative Finance 2013-11-21 Geon Ho Choe , Kyungsub Lee

Realised volatility has become increasingly prominent in volatility forecasting due to its ability to capture intraday price fluctuations. With a growing variety of realised volatility estimators, each with unique advantages and…

Risk Management · Quantitative Finance 2024-11-27 Qianli Zhao , Chao Wang , Richard Gerlach , Giuseppe Storti , Lingxiang Zhang
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