Risk management under time varying volatility and Pareto-stable distributions
Risk management under time varying volatility and Pareto-stable distributions
Risk measures based on Gaussian return distributions are simple but inaccurate while such measures based on alternative methodologies are known to be more precise but complex. In this context, practitioners seem biased towards simplicity and tend to choose the inaccurate Gaussian measures, leading to unsuspected losses in the event of a negative episode. This article proposes generalized autoregressive conditional heteroskedasticity (GARCH) family models with stable Paretian innovations in measuring the value-at-risk, expected shortfall and spectral risk measures that promise a markedly improved performance while maintaining simplicity.
GARCH models, risk measures, stable Paretian distribution, stable processes
Mozumder, Sharif
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Kabir, M. Humayun
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Dempsey, Michael
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Choudhry, Taufiq
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Mozumder, Sharif
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Kabir, M. Humayun
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Dempsey, Michael
ac5479d6-1337-4895-94b5-033420a23af2
Choudhry, Taufiq
6fc3ceb8-8103-4017-b3b5-2d38efa57728
Mozumder, Sharif, Kabir, M. Humayun, Dempsey, Michael and Choudhry, Taufiq
(2019)
Risk management under time varying volatility and Pareto-stable distributions.
Applied Economics Letters.
(doi:10.1080/13504851.2019.1612025).
Abstract
Risk measures based on Gaussian return distributions are simple but inaccurate while such measures based on alternative methodologies are known to be more precise but complex. In this context, practitioners seem biased towards simplicity and tend to choose the inaccurate Gaussian measures, leading to unsuspected losses in the event of a negative episode. This article proposes generalized autoregressive conditional heteroskedasticity (GARCH) family models with stable Paretian innovations in measuring the value-at-risk, expected shortfall and spectral risk measures that promise a markedly improved performance while maintaining simplicity.
Text
Mozumder_PBS_risk_measures_Sep-2018
- Accepted Manuscript
More information
Accepted/In Press date: 23 January 2019
e-pub ahead of print date: 9 May 2019
Keywords:
GARCH models, risk measures, stable Paretian distribution, stable processes
Identifiers
Local EPrints ID: 431596
URI: http://eprints.soton.ac.uk/id/eprint/431596
ISSN: 1350-4851
PURE UUID: a11c5dd1-7ad0-48c1-9f91-d6e67fb56d04
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Date deposited: 10 Jun 2019 16:30
Last modified: 16 Mar 2024 07:54
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Contributors
Author:
Sharif Mozumder
Author:
M. Humayun Kabir
Author:
Michael Dempsey
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