A Bayesian approach for more reliable tail risk forecasts

, , & (2023) A Bayesian approach for more reliable tail risk forecasts. Journal of Financial Stability, 64, Article number: 101098.

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Description

This paper demonstrates that existing quantile regression models used for jointly forecasting Value-at-Risk (VaR) and expected shortfall (ES) are sensitive to initial conditions. Given the importance of these measures in financial systems, this sensitivity is a critical issue. A new Bayesian quantile regression approach is proposed for estimating joint VaR and ES models. By treating the initial values as unknown parameters, sensitivity issues can be dealt with. Furthermore, new additive-type models are developed for the ES component that are more robust to initial conditions. A novel approach using the open-faced sandwich (OFS) method is proposed which improves uncertainty quantification in risk forecasts. Simulation and empirical results highlight the improvements in risk forecasts ensuing from the proposed methods.

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ID Code: 239119
Item Type: Contribution to Journal (Journal Article)
Refereed: Yes
ORCID iD:
Li, Danorcid.org/0000-0002-8647-5917
Clements, Adamorcid.org/0000-0002-4232-0323
Drovandi, Christopherorcid.org/0000-0001-9222-8763
Additional Information: Acknowledgement: We gratefully acknowledge the helpful feedback and valuable suggestions of the three anonymous reviewers and the journal editor. DL is supported by a scholarship from the QUT Centre for Data Science and a supervisor’s top-up scholarship from the school of Mathematical Sciences of QUT . Computational resources used in this work were provided by QUT’s High Performance Computing and Research Support Group (HPC).
Measurements or Duration: 22 pages
Keywords: CAViaR, Expected shortfall, Sequential Monte Carlo, Systemic risk, Uncertainty quantification, Value-at-risk
DOI: 10.1016/j.jfs.2022.101098
ISSN: 1572-3089
Pure ID: 129565751
Divisions: Current > Research Centres > Centre for Data Science
Current > QUT Faculties and Divisions > Faculty of Business & Law
Current > Schools > School of Economics & Finance
Current > QUT Faculties and Divisions > Faculty of Science
Current > Schools > School of Mathematical Sciences
Funding Information: We gratefully acknowledge the helpful feedback and valuable suggestions of the three anonymous reviewers and the journal editor. DL is supported by a scholarship from the QUT Centre for Data Science and a supervisor’s top-up scholarship from the school of Mathematical Sciences of QUT . Computational resources used in this work were provided by QUT’s High Performance Computing and Research Support Group (HPC). We gratefully acknowledge the helpful feedback and valuable suggestions of the three anonymous reviewers and the journal editor. DL is supported by a scholarship from the QUT Centre for Data Science and a supervisor's top-up scholarship from the school of Mathematical Sciences of QUT . Computational resources used in this work were provided by QUT's High Performance Computing and Research Support Group (HPC).
Copyright Owner: 2022 Elsevier B.V.
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Deposited On: 13 Apr 2023 00:21
Last Modified: 03 Mar 2024 06:50