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Bayesian Forecasting for Financial Risk Management, Pre and Post the Global Financial Crisis
Author(s) -
Chen Cathy W.S.,
Gerlach Richard,
Lin Edward M. H.,
Lee W. C. W.
Publication year - 2012
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.1237
Subject(s) - autoregressive conditional heteroskedasticity , econometrics , value at risk , stochastic volatility , economics , volatility (finance) , financial crisis , bayesian probability , autoregressive model , markov chain monte carlo , markov chain , finance , mathematics , risk management , statistics , macroeconomics
Value‐at‐risk (VaR) forecasting via a computational Bayesian framework is considered. A range of parametric models is compared, including standard, threshold nonlinear and Markov switching generalized autoregressive conditional heteroskedasticity (GARCH) specifications, plus standard and nonlinear stochastic volatility models, most considering four error probability distributions: Gaussian, Student‐ t , skewed‐ t and generalized error distribution. Adaptive Markov chain Monte Carlo methods are employed in estimation and forecasting. A portfolio of four Asia–Pacific stock markets is considered. Two forecasting periods are evaluated in light of the recent global financial crisis. Results reveal that: (i) GARCH models outperformed stochastic volatility models in almost all cases; (ii) asymmetric volatility models were clearly favoured pre crisis, while at the 1% level during and post crisis, for a 1‐day horizon, models with skewed‐ t errors ranked best, while integrated GARCH models were favoured at the 5% level; (iii) all models forecast VaR less accurately and anti‐conservatively post crisis. Copyright © 2011 John Wiley & Sons, Ltd.