Loss-Based Risk Measures

Abstract : Starting from the requirement that risk measures of financial portfolios should be based on their losses, not their gains, we define the notion of loss-based risk measure and study the properties of this class of risk measures. We characterize loss-based risk measures by a representation theorem and give examples of such risk measures. We then discuss the statistical robustness of estimators of loss-based risk measures: we provide a general criterion for qualitative robustness of risk estimators and compare this criterion with sensitivity analysis of estimators based on influence functions. Finally, we provide examples of statistically robust estimators for loss-based risk measures.
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https://hal.archives-ouvertes.fr/hal-00629929
Contributeur : Rama Cont <>
Soumis le : vendredi 7 octobre 2011 - 00:57:41
Dernière modification le : mardi 11 octobre 2016 - 14:05:09
Document(s) archivé(s) le : dimanche 8 janvier 2012 - 02:21:00

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  • HAL Id : hal-00629929, version 1
  • ARXIV : 1110.1436

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UPMC | PMA | INSMI | LARA | USPC

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Rama Cont, Romain Deguest, Xuedong He. Loss-Based Risk Measures. 2011. <hal-00629929>

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