Asymmetric models for realized covariances

Luc Bauwens, Emilija Dzuverovic and Christian Hafner

International Journal of Forecasting, 2026, vol. 42, issue 2, 640-656

Abstract: We introduce asymmetric effects in the BEKK-type conditional autoregressive Wishart model for realized covariance matrices, either by interacting the realized covariances with the signs of the daily returns or by using the decomposition of the realized covariance matrix into positive, negative, and mixed semi-covariances, thus relying on the signs of the intra-daily returns. In an empirical study, we find that the asymmetric models using the signs of the daily returns have a better in-sample fit and out-of-sample predictive ability than the models using the signed intra-daily returns, and that the asymmetric models outperform the symmetric one.

Keywords: High-frequency data; Asymmetric volatility; Conditional autoregressive Wishart model (search for similar items in EconPapers)
Date: 2026
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Related works:
Working Paper: Asymmetric models for realized covariances (2026)
Working Paper: Asymmetric Models for Realized Covariances (2024)
Working Paper: Asymmetric Models for Realized Covariances (2024)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:intfor:v:42:y:2026:i:2:p:640-656

DOI: 10.1016/j.ijforecast.2025.09.005

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