Asymmetric Multivariate Stochastic Volatility
AbstractThis paper proposes and analyses two types of asymmetric multivariate stochastic volatility (SV) models, namely: (i) SV with leverage (SV-L) model, which is based on the negative correlation between the innovations in the returns and volatility; and (ii) SV with leverage and size effect (SV-LSE) model, which is based on the signs and magnitude of the returns. The paper derives the state space form for the logarithm of the squared returns which follow the multivariate SV-L model, and develops estimation methods for the multivariate SV-L and SV-LSE models based on the Monte Carlo likelihood (MCL) approach. The empirical results show that the multivariate SV-LSE model fits the bivariate and trivariate returns of the S&P 500, Nikkei 225, and Hang Seng indexes with respect to AIC and BIC more accurately than does the multivariate SV-L model. Moreover, the empirical results suggest that the univariate models should be rejected in favour of their bivariate and trivariate counterparts.
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Bibliographic InfoPaper provided by Universitat de les Illes Balears, Departament d'Economía Aplicada in its series DEA Working Papers with number 12.
Date of creation: Nov 2005
Date of revision:
Multivariate stochastic volatility; asymmetric leverage; dynamic leverage; size effect; numerical likelihood; Bayesian Markov chain Monte Carlo; importance sampling.;
Other versions of this item:
- NEP-ALL-2006-04-08 (All new papers)
- NEP-ECM-2006-04-08 (Econometrics)
- NEP-ETS-2006-04-08 (Econometric Time Series)
- NEP-ICT-2006-04-08 (Information & Communication Technologies)
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