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Bayesian Analysis for Hybrid MSF-SBEKK Models of Multivariate Volatility

By Jacek Osiewalski and Anna Pajor

Abstract

The aim of this paper is to examine the empirical usefulness of two new MSF - Scalar BEKK(1,1) models of n-variate volatility. These models formally belong to the MSV class, but in fact are some hybrids of the simplest MGARCH and MSV specifications. Such hybrid structures have been proposed as feasible (yet non-trivial) tools for analyzing highly dimensional financial data (large n). This research shows Bayesian model comparison for two data sets with n = 2, since in bivariate cases we can obtain Bayes factors against many (even unparsimonious) MGARCH and MSV specifications. Also, for bivariate data, approximate posterior results (based on preliminary estimates of nuisance matrix parameters) are compared to the exact ones in both MSF-SBEKK models. Finally, approximate results are obtained for a large set of returns on equities (n = 34).Bayesian econometrics, Gibbs sampling, time-varying volatility, multivariate GARCH processes, multivariate SV processes

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  1. (2003). A closer look at the relation between GARCH and stochastic autoregressive volatility,
  2. (2005). Analysis of Financial Time Series (2nd edition),
  3. (2006). Analysis of high dimensional multivariate stochastic volatility models,
  4. (2005). Bayesian analysis of stochastic volatility model and portfolio allocation, Acta Universitatis Lodziensis -
  5. (2004). Bayesian comparison of bivariate ARCH-type models for the main exchange rates in Poland,
  6. (2005). Bayesian comparison of bivariate SV models for two related time series, Acta Universitatis Lodziensis -
  7. (2002). Dynamic conditional correlation: A simple class of multivariate generalized autoregressive conditional heteroskedasticity models,
  8. (2007). Flexibility and parsimony in multivariate fi-nancial modelling: a hybrid bivariate DCC-SV model, [in:] Financial Markets.
  9. (2006). Foreign exchange intervention by the Bank of Japan: Bayesian analysis using a bivariate Stochastic Volatility model,
  10. (1997). Likelihood analysis of non-Gaussian measurement time series,
  11. (1995). Models and prior distributions for multivariate stochastic volatility, technical report,
  12. (2006). Multivariate GARCH models: A survey,
  13. (2006). Multivariate Stochastic Volatility models with correlated errors,
  14. (2009). New hybrid models of multivariate volatility (a Bayesian perspective),
  15. (2009). Wielowymiarowe procesy wariancji stochastycznej w ekonometrii finansowej. Ujęcie bayesowskie (Multivariate Stochastic Variance Processes in Financial Econometrics. Bayesian approach,

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