Risk aggregation in Solvency II: How to converge the approaches of the internal models and those of the standard formula?
Two approaches may be considered in order to determine the Solvency II economic capital: the use of a standard formula or the use of an internal model (global or partial). However, the results produced by these two methods are rarely similar, since the underlying hypothesis of marginal capital aggregation is not verified by the projection models used by companies. We demonstrate that the standard formula can be considered as a first order approximation of the result of the internal model. We therefore propose an alternative method of aggregation that enables to satisfactorily capture the diversity among the various risks that are considered, and to converge the internal models and the standard formula.
|Date of creation:||Dec 2009|
|Date of revision:|
|Publication status:||Published, Bulletin Français d'Actuariat, 2009, 9, 18, 107-145|
|Note:||View the original document on HAL open archive server: http://hal.archives-ouvertes.fr/hal-00403662/en/|
|Contact details of provider:|| Web page: http://hal.archives-ouvertes.fr/|
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Biard, Romain & Lefèvre, Claude & Loisel, Stéphane, 2008. "Impact of correlation crises in risk theory: Asymptotics of finite-time ruin probabilities for heavy-tailed claim amounts when some independence and stationarity assumptions are relaxed," Insurance: Mathematics and Economics, Elsevier, vol. 43(3), pages 412-421, December.
- Joshua V. Rosenberg & Til Schuermann, 2004.
"A general approach to integrated risk management with skewed, fat-tailed risks,"
185, Federal Reserve Bank of New York.
- Rosenberg, Joshua V. & Schuermann, Til, 2006. "A general approach to integrated risk management with skewed, fat-tailed risks," Journal of Financial Economics, Elsevier, vol. 79(3), pages 569-614, March.
- Wayne Fisher & Stéphane Loisel & Shaun Wang, 2008. "On some key research issues in Enterprise Risk Management related to economic capital and diversification effect at group level," Post-Print hal-00268841, HAL.
When requesting a correction, please mention this item's handle: RePEc:hal:journl:hal-00403662. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (CCSD)
If references are entirely missing, you can add them using this form.