A modified Panjer algorithm for operational risk capital calculations - HAL-SHS - Sciences de l'Homme et de la Société Accéder directement au contenu
Article Dans Une Revue Journal of Operational Risk Année : 2009

A modified Panjer algorithm for operational risk capital calculations

Résumé

Operational risk management inside banks and insurance companies is an important task. The computation of a risk measure associated to these kinds of risks lies in the knowledge of the so-called loss distribution function (LDF). Traditionally, this LDF is computed via Monte Carlo simulations or using the Panjer recursion, which is an iterative algorithm. In this paper, we propose an adaptation of this last algorithm in order to improve the computation of convolutions between Panjer class distributions and continuous distributions, by mixing the Monte Carlo method, a progressive kernel lattice and the Panjer recursion. This new hybrid algorithm does not face the traditional drawbacks. This simple approach enables us to drastically reduce the variance of the estimated value-at-risk associated with the operational risks and to lower the aliasing error we would have using Panjer recursion itself. Furthermore, this method is much less timeconsuming than a Monte Carlo simulation. We compare our new method with more sophisticated approaches already developed in operational risk literature.
Fichier principal
Vignette du fichier
Guegan-Hassani_2.pdf (349.64 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

halshs-00443846 , version 1 (05-01-2010)

Identifiants

  • HAL Id : halshs-00443846 , version 1

Citer

Dominique Guegan, Bertrand Hassani. A modified Panjer algorithm for operational risk capital calculations. Journal of Operational Risk, 2009, 4 (4), pp.53-72. ⟨halshs-00443846⟩
479 Consultations
1315 Téléchargements

Partager

Gmail Facebook X LinkedIn More