Optimal window size detection in Value-at-Risk forecasting: A case study on conditional generalised hyperbolic models

The conventional parametric approach for financial risk measure estimation involves determining an appropriate quantitative model, as well as a suitable historical sample period in which the model can be trained. While a lion’s share of the existing literature entertains the identification of the m...

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Main Authors: Huang, Chun-Kai, Huang, Karl, Hammujuddy, Jahvaid, Chinhamu, Knowledge
Format: Conference Paper
Language:English
Published: South African Statistical Association 2022
Subjects:
Online Access:https://www.journals.ac.za/sasj/Proceedings
http://hdl.handle.net/20.500.11937/92269
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author Huang, Chun-Kai
Huang, Karl
Hammujuddy, Jahvaid
Chinhamu, Knowledge
author_facet Huang, Chun-Kai
Huang, Karl
Hammujuddy, Jahvaid
Chinhamu, Knowledge
author_sort Huang, Chun-Kai
building Curtin Institutional Repository
collection Online Access
description The conventional parametric approach for financial risk measure estimation involves determining an appropriate quantitative model, as well as a suitable historical sample period in which the model can be trained. While a lion’s share of the existing literature entertains the identification of the most appropriate model for different types of financial assets, or across conflicting market conditions, little is known about the optimal choice of a historical sample period size (or window size) to train the model and estimate model parameters. In this paper, we propose a method to identify an optimal window size for model training when estimating risk measures, such as the widely-utilised Value-at-Risk (VaR) or Expected Shortfall (ES), under the generalised hyperbolic subclasses. We show that the accuracy of VaR estimates may increase significantly through our proposed method of optimal window size detection. In particular, our results demonstrate that, by relaxing the usual restriction of a fixed window size over time, superior VaR forecasts may be produced as a result of improved model parameter estimates.
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spelling curtin-20.500.11937-922692023-11-01T05:44:34Z Optimal window size detection in Value-at-Risk forecasting: A case study on conditional generalised hyperbolic models Huang, Chun-Kai Huang, Karl Hammujuddy, Jahvaid Chinhamu, Knowledge Hyperbolic MSCI Normal-inverse Gaussian Value-at-Risk Variance-gamma Window size The conventional parametric approach for financial risk measure estimation involves determining an appropriate quantitative model, as well as a suitable historical sample period in which the model can be trained. While a lion’s share of the existing literature entertains the identification of the most appropriate model for different types of financial assets, or across conflicting market conditions, little is known about the optimal choice of a historical sample period size (or window size) to train the model and estimate model parameters. In this paper, we propose a method to identify an optimal window size for model training when estimating risk measures, such as the widely-utilised Value-at-Risk (VaR) or Expected Shortfall (ES), under the generalised hyperbolic subclasses. We show that the accuracy of VaR estimates may increase significantly through our proposed method of optimal window size detection. In particular, our results demonstrate that, by relaxing the usual restriction of a fixed window size over time, superior VaR forecasts may be produced as a result of improved model parameter estimates. 2022 Conference Paper http://hdl.handle.net/20.500.11937/92269 English https://www.journals.ac.za/sasj/Proceedings https://creativecommons.org/licenses/by-nc-nd/4.0/ South African Statistical Association fulltext
spellingShingle Hyperbolic
MSCI
Normal-inverse Gaussian
Value-at-Risk
Variance-gamma
Window size
Huang, Chun-Kai
Huang, Karl
Hammujuddy, Jahvaid
Chinhamu, Knowledge
Optimal window size detection in Value-at-Risk forecasting: A case study on conditional generalised hyperbolic models
title Optimal window size detection in Value-at-Risk forecasting: A case study on conditional generalised hyperbolic models
title_full Optimal window size detection in Value-at-Risk forecasting: A case study on conditional generalised hyperbolic models
title_fullStr Optimal window size detection in Value-at-Risk forecasting: A case study on conditional generalised hyperbolic models
title_full_unstemmed Optimal window size detection in Value-at-Risk forecasting: A case study on conditional generalised hyperbolic models
title_short Optimal window size detection in Value-at-Risk forecasting: A case study on conditional generalised hyperbolic models
title_sort optimal window size detection in value-at-risk forecasting: a case study on conditional generalised hyperbolic models
topic Hyperbolic
MSCI
Normal-inverse Gaussian
Value-at-Risk
Variance-gamma
Window size
url https://www.journals.ac.za/sasj/Proceedings
http://hdl.handle.net/20.500.11937/92269