Multivariate Leverage Effects and Realized Semicovariance GARCH Models
49 Pages Posted: 17 Apr 2018
Date Written: April 16, 2018
We propose new asymmetric multivariate volatility models. The models exploit estimates of variances and covariances based on the signs of high-frequency returns, measures known as realized semivariances, semicovariances, and semicorrelations, to allow for more nuanced responses to positive and negative return shocks than threshold “leverage effect” terms traditionally used in the literature. Our empirical implementations of the new models, including extensions of widely-used bivariate GARCH pecifications for a number of individual stocks and the aggregate market portfolio as well as larger dimensional dynamic conditional correlation type formulations for a cross-section of individual stocks, provide clear evidence of improved model fit and reveal new and interesting asymmetric joint dynamic dependencies.
Keywords: High-Frequency Data, Realized Volatility, Realized Correlation, Semivariance, Asymmetric Dependence
JEL Classification: C22, C51, C53, C58
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