1. Multivariate rotated ARCH models
- Author
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Diaa Noureldin, Neil Shephard, and Kevin Sheppard
- Subjects
RARCH, RCC, Multivariate volatility, Covariance targeting, Common persistence, Empirical Bayes, Predictive likelihood ,Economics and Econometrics ,Multivariate statistics ,Covariance function ,jel:C52 ,Applied Mathematics ,Identity matrix ,Structure (category theory) ,Inference ,Arch models ,Extension (predicate logic) ,jel:C32 ,Covariance ,jel:C58 ,Multivariate volatility ,Estimation of covariance matrices ,Econometrics ,Applied mathematics ,Arch ,RARCH ,RCC ,multivariate volatility ,covariance targeting ,common persistence ,empirical Bayes ,predictive likelihood ,Mathematics - Abstract
This paper introduces a new class of multivariate volatility models which is easy to estimate using covariance targeting, even with rich dynamics. We call them rotated ARCH (RARCH) models. The basic structure is to rotate the returns and then to fit them using a BEKK-type parameterization of the time-varying covariance whose long-run covariance is the identity matrix. This yields the rotated BEKK (RBEKK) model. The extension to DCC-type parameterizations is given, introducing the rotated DCC (RDCC) model. Inference for these models is computationally attractive, and the asymptotics are standard. The techniques are illustrated using data on the DJIA stocks.
- Published
- 2020