Realized Wishart-GARCH : a score-driven multi-Asset volatility model

Peter Reinhard Hansen, Pawel Janus, Siem Jan Koopman

We propose a novel multivariate GARCH model that incorporates realized measures for the variance matrix of returns. The key novelty is the joint formulation of a multivariate dynamic model for outer-products of returns, realized variances and realized covariances. The updating of the variance matrix relies on the score function of the joint likelihood function based on Gaussian and Wishart densities. The dynamic model is parsimonious while each innovation still impacts all elements of the variance matrix. Monte Carlo evidence for parameter estimation based on different small sample sizes is provided. We illustrate the model with an empirical application to a portfolio of 15 U.S. financial assets.

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Year of publication:	August 6, 2016
Authors:	Hansen, Peter Reinhard ; Janus, Paweł ; Koopman, Siem Jan
Publisher:	Amsterdam : Tinbergen Institute
Subject:	high-frequency data \| multivariate GARCH \| multivariate volatility \| realized covariance \| score \| Wishart density \| Volatilität \| Volatility \| ARCH-Modell \| ARCH model \| Zeitreihenanalyse \| Time series analysis \| Multivariate Analyse \| Multivariate analysis \| Korrelation \| Correlation \| Varianzanalyse \| Analysis of variance \| Marktmikrostruktur \| Market microstructure \| Schätzung \| Estimation