Premium
A Bayesian threshold nonlinearity test for financial time series
Author(s) -
So Mike K. P.,
Chen Cathy W. S.,
Chen MingTien
Publication year - 2005
Publication title -
journal of forecasting
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.543
H-Index - 59
eISSN - 1099-131X
pISSN - 0277-6693
DOI - 10.1002/for.939
Subject(s) - autoregressive conditional heteroskedasticity , threshold model , econometrics , volatility (finance) , bayesian probability , markov chain monte carlo , nonlinear system , asymmetry , markov chain , series (stratigraphy) , posterior probability , economics , mathematics , computer science , statistics , physics , paleontology , quantum mechanics , biology
We propose in this paper a threshold nonlinearity test for financial time series. Our approach adopts reversible‐jump Markov chain Monte Carlo methods to calculate the posterior probabilities of two competitive models, namely GARCH and threshold GARCH models. Posterior evidence favouring the threshold GARCH model indicates threshold nonlinearity or volatility asymmetry. Simulation experiments demonstrate that our method works very well in distinguishing GARCH and threshold GARCH models. Sensitivity analysis shows that our method is robust to misspecification in error distribution. In the application to 10 market indexes, clear evidence of threshold nonlinearity is discovered and thus supporting volatility asymmetry. Copyright © 2005 John Wiley & Sons, Ltd.