Multivariate rotated ARCH models

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 tim...

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Detalhes bibliográficos
Principais autores: Noureldin, D, Shephard, N, Sheppard, K
Formato: Working paper
Publicado em: University of Oxford 2012
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author Noureldin, D
Shephard, N
Sheppard, K
author_facet Noureldin, D
Shephard, N
Sheppard, K
author_sort Noureldin, D
collection OXFORD
description 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. The extension to DCC-type parameterizations is given, introducing the rotated conditional correlation (RCC) model. Inference for these mdoels is computationally attractive, and the asymptotics are standard. The techniques are illustrated using data on some SJIA stocks.
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spelling oxford-uuid:3ce5270c-f1b7-4302-bdc1-3df0d0cf53a52022-03-26T14:16:17ZMultivariate rotated ARCH modelsWorking paperhttp://purl.org/coar/resource_type/c_8042uuid:3ce5270c-f1b7-4302-bdc1-3df0d0cf53a5Bulk import via SwordSymplectic ElementsUniversity of Oxford2012Noureldin, DShephard, NSheppard, KThis 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. The extension to DCC-type parameterizations is given, introducing the rotated conditional correlation (RCC) model. Inference for these mdoels is computationally attractive, and the asymptotics are standard. The techniques are illustrated using data on some SJIA stocks.
spellingShingle Noureldin, D
Shephard, N
Sheppard, K
Multivariate rotated ARCH models
title Multivariate rotated ARCH models
title_full Multivariate rotated ARCH models
title_fullStr Multivariate rotated ARCH models
title_full_unstemmed Multivariate rotated ARCH models
title_short Multivariate rotated ARCH models
title_sort multivariate rotated arch models
work_keys_str_mv AT noureldind multivariaterotatedarchmodels
AT shephardn multivariaterotatedarchmodels
AT sheppardk multivariaterotatedarchmodels