Forecasting linear time series models with heteroskedastic errors in a Bayesian approach

A study was conducted to compare the forecasting performance of four models, namely Stochastic Volatility (SV), Generalized Autoregressive Conditional Heteroskedasticity (GARCH), Autoregressive with GARCH errors (AR-GARCH) and Autoregressive with SV errors (AR-SV).Bayesian approach and Markov Chain...

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Bibliographic Details
Main Author: Amiri, Esmail
Format: Conference or Workshop Item
Language:English
Published: 2015
Subjects:
Online Access:https://repo.uum.edu.my/id/eprint/15663/1/PID211.pdf
Description
Summary:A study was conducted to compare the forecasting performance of four models, namely Stochastic Volatility (SV), Generalized Autoregressive Conditional Heteroskedasticity (GARCH), Autoregressive with GARCH errors (AR-GARCH) and Autoregressive with SV errors (AR-SV).Bayesian approach and Markov Chain Monte Carlo (MCMC) simulation methods are applied to estimate the parameters of the models and their predictive densities; using three time series data (daily Euro/US Dollar, British Pound/US Dollar and Iranian Rial/US Dollar exchange rates).Out-ofsample analysis through cumulative predictive Bayes factors clearly showed that modeling regression residuals heteroskedastic, substantially improves predictive performance, especially in turbulent times.A direct comparison of SV and vanilla GARCH(1,1) indicated that the former performs better in terms of predictive accuracy