Uncertainty of Multiple Period Risk Measures
AbstractIn general, the properties of the conditional distribution of multiple period returns do not follow easily from the one-period data generating process. This renders computation of Value-at-Risk and Expected Shortfall for multiple period returns a non-trivial task. In this paper we consider some approximation approaches to computing these measures. Based on the results of a simulation experiment we conclude that among the studied analytical approaches the one based on approximating the distribution of the multiple period shocks by a skew-t was the best. It was almost as good as the simulation based alternative. We also found that the uncertainty due to the estimation risk can be quite accurately estimated employing the delta method. In an empirical illustration we computed ve day V aR0s for the S&P 500 index. The approaches performed about equally well.
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Bibliographic InfoPaper provided by Umeå University, Department of Economics in its series Umeå Economic Studies with number 768.
Length: 37 pages
Date of creation: 01 Apr 2009
Date of revision:
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Postal: Department of Economics, Umeå University, S-901 87 Umeå, Sweden
Phone: 090 - 786 61 42
Fax: 090 - 77 23 02
Web page: http://www.econ.umu.se/
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Asymmetry; Estimation Error; Finance; GJR-GARCH; Prediction; Risk Management;
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This paper has been announced in the following NEP Reports:
- NEP-ALL-2009-04-05 (All new papers)
- NEP-CMP-2009-04-05 (Computational Economics)
- NEP-RMG-2009-04-05 (Risk Management)
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