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A Multivariate Realized GARCH Model

Ilya Archakov, Peter Reinhard Hansen, Asger Lunde

arXiv 4 Dec 2020 · Econometrics · publishedJournal of Econometrics (2025) · 12 citations (OpenAlex)

arXiv:2012.02708 · PDF · DOI · OpenAlex · Extracted main text

Abstract

We propose a novel class of multivariate GARCH models that incorporate realized measures of volatility and correlations. The key innovation is an unconstrained vector parametrization of the conditional correlation matrix, which enables the use of factor models for correlations. This approach elegantly addresses the main challenge faced by multivariate GARCH models in high-dimensional settings. As an illustration, we explore block correlation matrices that naturally simplify to linear factor models for the conditional correlations. The model is applied to the returns of nine assets, and its in-sample and out-of-sample performance compares favorably against several popular benchmarks.

Citation extraction

62
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in-text mentions
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distinct cited
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Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Engle, R. and Kelly, B (2012) Dynamic equicorrelation1.00094100%
2Hansen, P. R., Lunde, A., and Voev, V (2014) Realized beta GARCH: A multivariate GARCH model with realized measures of volatility self0.9568588%
3Archakov, I. and Hansen, P. R (2024) A canonical representation of block matrices with applications to covariance and correlation matrices self0.88810470%
4Hansen, P. R., Huang, Z., and Shek, H (2012) Realized GARCH: A joint model of returns and realized measures of volatility self0.84333100%
5Andersen, T. G., Bollerslev, T., Diebold, F. X., and Ebens, H (2001) The distribution of realized stock return volatility0.81142100%
6Archakov, I. and Hansen, P. R (2021) A new parametrization of correlation matrices self0.7374350%
7Hansen, P. R. and Huang, Z (2016) Exponential GARCH modeling with realized measures of volatility self0.7373367%
8Andersen, T. G., Bollerslev, T., Diebold, F. X., and Labys, P (2001) The distribution of realized exchange rate volatility0.73732100%
9Aielli, G. P (2013) Dynamic conditional correlation: on properties and estimation0.64422100%
10Barndorff-Nielsen, O. E. and Shephard, N (2004) Econometric analysis of realized covariation: High frequency based covariance, regression, and correlation in financial economics0.64422100%

Showing the top 10 of 62 scored citations.

Cited by, within the corpus

arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.

Citing paperIntensityMentionsSections
1Cluster GARCH0.92843
2A Robust Similarity Estimator0.81142
3Characterizing Correlation Matrices that Admit a Clustered Factor Representation0.40511
4Dynamic Factor Correlation Model0.40511
5Split-Session Cluster GARCH for Overnight and Intraday Returns: The Role of Tail Heterogeneity0.40511