Modelling Realized Covariance Matrices: a Class of Hadamard Exponential Models

Luc Bauwens and Edoardo Otranto

No 2020034, LIDAM Discussion Papers CORE from Université catholique de Louvain, Center for Operations Research and Econometrics (CORE)

Abstract: Time series of realized covariance matrices can be modelled in the conditional autoregressive Wishart model family via dynamic correlations or via dynamic covariances. Extended parameterizations of these models are proposed, which imply a specific and time-varying impact parameter of the lagged realized covariance (or correlation) on the next conditional covariance (or correlation) of each asset pair. The proposed extensions guarantee the positive definiteness of the conditional covariance or correlation matrix with simple parametric restrictions, while keeping the number of parameters fixed or linear with respect to the number of assets. An empirical study on twenty-nine assets reveals that the extended models have superior forecasting performances than their simpler versions.

Keywords: realized covariances; dynamic covariances and correlations; Hadamard exponential matrix (search for similar items in EconPapers)
JEL-codes: C32 C58 (search for similar items in EconPapers)
Date: 2020-11-24
New Economics Papers: this item is included in nep-for, nep-ore and nep-rmg
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Related works:
Journal Article: Modeling Realized Covariance Matrices: A Class of Hadamard Exponential Models (2023)
Working Paper: Modeling Realized Covariance Matrices: A Class of Hadamard Exponential Models (2022)
Working Paper: Modelling Realized Covariance Matrices: a Class of Hadamard Exponential Models (2020)
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