Specification tests in parametric value-at-risk models
Specification tests in parametric value-at-risk models
One of the implications of the creation of Basel Committee on Banking Supervision was the implementation of Value-at-Risk (VaR) as the standard tool for measuring market risk and of out-of-sample backtesting for banking risk monitoring. We stress in this article that the results derived from this exercise can be spurious if one does not carry out a previous in-sample specification test to determine the adequacy of the VaR model. We study in this paper specification tests that, unlike the existing ones, are able to control the type-I error probability. More concretely, we show that not taking into account the effect of estimating the parameters of the VaR model in the in-sample specification tests can lead to invalid inferences, which in turn may imply wrong conclusions about the out-of-sample backtesting procedures. The first aim of this article is to quantify the effect of estimating the parameters of the model and to stress its impact in specification tests, and the second is then to propose a corrected method taking into account such risk, and thereby to provide a valid econometric framework for measuring and evaluating market risk. The results are given for general dynamic parametric models and illustrated with a Monte-Carlo simulation for location-scale models and with an empirical application for S&P500 Index.
978-2-7178-5719-1
49-62
Escanciano, J.C.
2ae21f23-2e32-4427-8b1e-1dc3a542a64d
Olmo, J.
706f68c8-f991-4959-8245-6657a591056e
Jeanblanc-Picqué, Monique
December 2009
Escanciano, J.C.
2ae21f23-2e32-4427-8b1e-1dc3a542a64d
Olmo, J.
706f68c8-f991-4959-8245-6657a591056e
Jeanblanc-Picqué, Monique
Escanciano, J.C. and Olmo, J.
(2009)
Specification tests in parametric value-at-risk models.
Gourieroux, Christian and Jeanblanc-Picqué, Monique
(eds.)
In Financial Risks: New Developments in Structured Product & Credit Derivatives.
Économica.
.
Record type:
Conference or Workshop Item
(Paper)
Abstract
One of the implications of the creation of Basel Committee on Banking Supervision was the implementation of Value-at-Risk (VaR) as the standard tool for measuring market risk and of out-of-sample backtesting for banking risk monitoring. We stress in this article that the results derived from this exercise can be spurious if one does not carry out a previous in-sample specification test to determine the adequacy of the VaR model. We study in this paper specification tests that, unlike the existing ones, are able to control the type-I error probability. More concretely, we show that not taking into account the effect of estimating the parameters of the VaR model in the in-sample specification tests can lead to invalid inferences, which in turn may imply wrong conclusions about the out-of-sample backtesting procedures. The first aim of this article is to quantify the effect of estimating the parameters of the model and to stress its impact in specification tests, and the second is then to propose a corrected method taking into account such risk, and thereby to provide a valid econometric framework for measuring and evaluating market risk. The results are given for general dynamic parametric models and illustrated with a Monte-Carlo simulation for location-scale models and with an empirical application for S&P500 Index.
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escancianolmorevised.pdf
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Published date: December 2009
Venue - Dates:
Proceedings of the 1st International Financial Research Forum, Paris, France, 2008-03-27 - 2008-03-28
Organisations:
Economics
Identifiers
Local EPrints ID: 348646
URI: http://eprints.soton.ac.uk/id/eprint/348646
ISBN: 978-2-7178-5719-1
PURE UUID: b0604c6e-2e4f-4b05-bbee-66a445d25841
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Date deposited: 18 Feb 2013 14:29
Last modified: 15 Mar 2024 03:46
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Contributors
Author:
J.C. Escanciano
Editor:
Christian Gourieroux
Editor:
Monique Jeanblanc-Picqué
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