Spillovers and Co-movements in Multivariate Volatility: A Vector Multiplicative Error Model

Fuente: arXiv
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Autori principali: Otranto, Edoardo, Domianello, Luca Scaffidi
Natura: Preprint
Pubblicazione: 2026
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author Otranto, Edoardo
Domianello, Luca Scaffidi
author_facet Otranto, Edoardo
Domianello, Luca Scaffidi
contents Recent developments in financial time series focus on modeling volatility across multiple assets or indices in a multivariate framework, accounting for potential interactions such as spillover effects. Furthermore, the increasing integration of global financial markets provides a similar dynamics (referred to as comovement). In this context, we introduce a novel model for volatility vectors within the Multiplicative Error Model (MEM) class. This framework accommodates both spillover and co-movement effects through a distinct latent component. By adopting a specific parameterization, the model remains computationally feasible even for high-dimensional volatility vectors. To reduce the number of unknown coefficients, we propose a simple model-based clustering procedure. We illustrate the effectiveness of the proposed approach through an empirical application to 29 assets of the Dow Jones Industrial Average index, providing insight into volatility spillovers and shared market dynamics. Comparative analysis against alternative vector MEMs, including a fully parameterized version of the proposed model, demonstrates its superior or at least comparable performance across multiple evaluation criteria.
format Preprint
id arxiv_https___arxiv_org_abs_2601_16837
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Spillovers and Co-movements in Multivariate Volatility: A Vector Multiplicative Error Model
Otranto, Edoardo
Domianello, Luca Scaffidi
Applications
Recent developments in financial time series focus on modeling volatility across multiple assets or indices in a multivariate framework, accounting for potential interactions such as spillover effects. Furthermore, the increasing integration of global financial markets provides a similar dynamics (referred to as comovement). In this context, we introduce a novel model for volatility vectors within the Multiplicative Error Model (MEM) class. This framework accommodates both spillover and co-movement effects through a distinct latent component. By adopting a specific parameterization, the model remains computationally feasible even for high-dimensional volatility vectors. To reduce the number of unknown coefficients, we propose a simple model-based clustering procedure. We illustrate the effectiveness of the proposed approach through an empirical application to 29 assets of the Dow Jones Industrial Average index, providing insight into volatility spillovers and shared market dynamics. Comparative analysis against alternative vector MEMs, including a fully parameterized version of the proposed model, demonstrates its superior or at least comparable performance across multiple evaluation criteria.
title Spillovers and Co-movements in Multivariate Volatility: A Vector Multiplicative Error Model
topic Applications
url https://arxiv.org/abs/2601.16837