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Related papers: Multivariate Garch with dynamic beta

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Models for financial risk often assume that underlying asset returns are stationary. However, there is strong evidence that multivariate financial time series entail changes not only in their within-series dependence structure, but also in…

Methodology · Statistics 2021-03-03 Haeran Cho , Karolos Korkas

We consider the well-studied problem of predicting the time-varying covariance matrix of a vector of financial returns. Popular methods range from simple predictors like rolling window or exponentially weighted moving average (EWMA) to more…

Econometrics · Economics 2023-11-27 Kasper Johansson , Mehmet Giray Ogut , Markus Pelger , Thomas Schmelzer , Stephen Boyd

The use of factor stochastic volatility models requires choosing the number of latent factors used to describe the dynamics of the financial returns process; however, empirical evidence suggests that the number and makeup of pertinent…

Applications · Statistics 2019-03-06 Taylor R. Brown

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

Price range contains important information about the asset volatility, and has long been considered an important indicator for it. In this paper, we propose to jointly model the [low, high] price range as a random interval and introduce an…

Methodology · Statistics 2015-02-18 Yan Sun , Jennifer Loveland , Isaac Blackhurst

By capturing outliers, volatility clustering, and tail dependence in the asset return distribution, we build a sophisticated model to predict the downside risk of the global financial market. We further develop a dynamic regime switching…

Econometrics · Economics 2025-06-17 Yin Luo , Sheng Wang , Javed Jussa

We propose Neural GARCH, a class of methods to model conditional heteroskedasticity in financial time series. Neural GARCH is a neural network adaptation of the GARCH 1,1 model in the univariate case, and the diagonal BEKK 1,1 model in the…

Machine Learning · Computer Science 2022-02-24 Zexuan Yin , Paolo Barucca

It is common for long financial time series to exhibit gradual change in the unconditional volatility. We propose a new model that captures this type of nonstationarity in a parsimonious way. The model augments the volatility equation of a…

Econometrics · Economics 2024-10-15 Niklas Ahlgren , Alexander Back , Timo Teräsvirta

The purpose of this paper is to test the time-invariance of the beta coefficients estimated by the Adaptive Multi-Factor (AMF) model. The AMF model is implied by the generalized arbitrage pricing theory (GAPT), which implies constant beta…

Statistical Finance · Quantitative Finance 2021-04-27 Liao Zhu , Robert A. Jarrow , Martin T. Wells

The main goal of this paper is an application of Bayesian model comparison, based on the posterior probabilities and posterior odds ratios, in testing the explanatory power of the set of competing GARCH (ang. Generalised Autoregressive…

Data Analysis, Statistics and Probability · Physics 2008-10-06 Mateusz Pipien

This paper develops and estimates a multivariate affine GARCH(1,1) model with Normal Inverse Gaussian innovations that captures time-varying volatility, heavy tails, and dynamic correlation across asset returns. We generalize the…

Econometrics · Economics 2025-05-20 Ayush Jha , Abootaleb Shirvani , Ali Jaffri , Svetlozar T. Rachev , Frank J. Fabozzi

Two formulations are proposed to filter out correlations in the residuals of the multivariate GARCH model. The first approach is to estimate the correlation matrix as a parameter and transform any joint distribution to have an arbitrary…

Statistical Finance · Quantitative Finance 2024-11-14 Kenichiro Shiraya , Kanji Suzuki , Tomohisa Yamakami

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 propose an artificial market model based on deterministic agents. The agents modify their ask/bid price depending on past price changes. The temporal development of market price fluctuations is calculated numerically. A probability…

Statistical Mechanics · Physics 2008-12-10 Aki-Hiro Sato , Hideki Takayasu

In the paper we compare the modelling ability of discrete-time multivariate Stochastic Volatility models to describe the conditional correlations between stock index returns. We consider four trivariate SV models, which differ in the…

Data Analysis, Statistics and Probability · Physics 2008-12-02 Anna Pajor

In this paper we estimate the conditional value-at-risk by fitting different multivariate parametric models capturing some stylized facts about multivariate financial time series of equity returns: heavy tails, negative skew, asymmetric…

Risk Management · Quantitative Finance 2020-09-24 Michele Leonardo Bianchi , Giovanni De Luca , Giorgia Rivieccio

We construct fractionally integrated continuous-time GARCH models, which capture the observed long range dependence of squared volatility in high-frequency data. Since the usual Molchan-Golosov and Mandelbrot-van-Ness fractional kernels…

Statistics Theory · Mathematics 2018-01-01 Stephan Haug , Claudia Klüppelberg , German Straub

Several phenomena are available representing market activity: volumes, number of trades, durations between trades or quotes, volatility - however measured - all share the feature to be represented as positive valued time series. When…

Statistical Finance · Quantitative Finance 2021-07-14 Fabrizio Cipollini , Giampiero M. Gallo

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