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Modelling time-varying volatility interactions

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Resumo(s)

We propose an additive time-varying (or partially time-varying) multivariate model of volatility, where a time-dependent component is added to the extended vector GARCH process for modelling the dynamics of volatility interactions. Volatility co-dependence is allowed to change smoothly between two extreme states, and second-moment interdependence is identified through these structural changes. The estimation of the new time-varying vector GARCH process is simplified using an equation-by-equation estimator for the volatility equations in the first step and estimating the correlation matrix in the second step. A new Lagrange multiplier test is derived for testing the null hypothesis of constant volatility co-dependence against a smoothly time-varying interdependence between financial markets. Monte Carlo experiments show that the test statistic has satisfactory finite-sample properties. An empirical application to sovereign bond yields illustrates the modelling strategy and the usefulness of the new specification.

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Palavras-chave

Financial market interdependence Lagrange multiplier test Multivariate time-varying GARCH Time-variation Volatility spillovers

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Citação

Campos-Martins, S., & Amado, C. (2026). Modelling time-varying volatility interactions. International Review of Financial Analysis, 111, Article 105098. https://doi.org/10.1016/j.irfa.2026.105098

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