Template-Type: ReDIF-Paper 1.0 Series: Tinbergen Institute Discussion Papers Creation-Date: 2026-08-28 Number: 26-061/III Author-Name: Justus Holman Author-Workplace-Name: Vrije Universiteit Amsterdam Author-Name: Andre Lucas Author-Workplace-Name: Vrije Universiteit Amsterdam Author-Name: Anne Opschoor Author-Workplace-Name: Vrije Universiteit Amsterdam Title: Composite Univariate Modeling of Realized Covariance Matrix Dynamics and Volatility-at-Risk Abstract: We propose a new model for realized covariance matrix dynamics using a composite of univariate time series models for its realized eigenvalues, linked by a copula function. The dynamics of each eigenvalue are based on a conditional F distribution, thus allowing for fat-tailedness and outliers in the realized covariance matrices. Given its composition from univariate elements, the static parameters of the new model can be estimated efficiently by maximum likelihood. In an empirical application, we show that the new model outperforms relevant recent benchmarks in an extensive portfolio (Conditional) Volatility-at-Risk (VolaR) application. Classification-JEL: C22, C32, C58 Keywords: File-URL: https://papers.tinbergen.nl/26061.pdf File-Format: application/pdf File-Size: 2.237.214 bytes Handle: RePEc:tin:wpaper:20260061