Forecasting Value-at-Risk Using Block Structure Multivariate Stochastic Volatility Models

Most multivariate variance or volatility models suffer from a common problem, the “curse of dimensionality”. For this reason, most are fitted under strong parametric restrictions that reduce the interpretation and flexibility of the models. Recently, the literature has focused on multivariate models...

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Bibliographic Details
Authors: Asai, Manabu, Caporin, Massimiliano, McAleer, Michael
Format: report
Publication Date:2012
Country:España
Institution:Universidad Complutense de Madrid (UCM)
Repository:Docta Complutense
Language:English
OAI Identifier:oai:docta.ucm.es:20.500.14352/49062
Online Access:https://hdl.handle.net/20.500.14352/49062
Access Level:Open access
Keyword:C32
C51
C10
Block structures
Multivariate stochastic volatility
Curse of dimensionality
Leverage effects
Multi-factors
Heavy-tailed distribution.
Econometría (Economía)
5302 Econometría
Description
Summary:Most multivariate variance or volatility models suffer from a common problem, the “curse of dimensionality”. For this reason, most are fitted under strong parametric restrictions that reduce the interpretation and flexibility of the models. Recently, the literature has focused on multivariate models with milder restrictions, whose purpose was to combine the need for interpretability and efficiency faced by model users with the computational problems that may emerge when the number of assets is quite large. We contribute to this strand of the literature proposing a block-type parameterization for multivariate stochastic volatility models. The empirical analysis on stock returns on US market shows that 1% and 5 % Value-at-Risk thresholds based on one-step-ahead forecasts of covariances by the new specification are satisfactory for the period includes the global financial crisis.