In this paper, we propose a model for forecasting Value-at-Risk (VaR) using a Bayesian Markov-switching GJR-GARCH(1,1) model with skewed Student’s-t innovation, copula functions and extreme value theory. A Bayesian Markov-switching GJR-GARCH(1,1) model that identifies non-constant volatility over time and allows the GARCH parameters to vary over time following a Markov process, is combined with copula functions and EVT to formulate the Bayesian Markov-switching GJR-GARCH(1,1) copula-EVT VaR model, which is then used to forecast the level of risk on financial asset returns. We further propose a new method for threshold selection in EVT analysis, which we term the hybrid method. Empirical and back-testing results show that the proposed VaR models capture VaR reasonably well in periods of calm and in periods of crisis.
Refining value-at-risk estimates using a Bayesian Markov-switching GJR-GARCH copula-EVT model
Marius Galabe Sampid,Haslifah M. Hasim,Hongsheng Dai
Published 2018 in PLoS ONE
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- Publication year
2018
- Venue
PLoS ONE
- Publication date
2018-06-22
- Fields of study
Mathematics, Medicine, Economics
- Identifiers
- External record
- Source metadata
Semantic Scholar, PubMed
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