Safe-Side Scenarios for Financial and Biometrical Risk

Marcus  Christiansen; Mogens Steffensen

doi:10.1017/asb.2013.16

Safe-Side Scenarios for Financial and Biometrical Risk

Marcus Christiansen, Mogens Steffensen

Institut for Matematiske Fag

4 Citationer (Scopus)

Abstract

Premium settlement and calculation of reserves and capital requirements are typically based on worst- or just bad-case assumptions on interest rates, mortality rates, and other transition rates between states defined according to the insurance benefits. If interest and transition rates are chosen independently from each other, the worst choice, i.e. the combination of interest rates and transition rates that maximizes the reserve, can be found by dynamic programming. Here, we generalize this idea by choosing the interest and transition rates from a set that allows for mutual dependence. In general, finding the worst case is much more complicated in this situation, but we characterize a set of relatively tractable problems and present a series of examples from this set. Our approach with mutual dependence is relevant e.g. for internal models in Solvency II.

Originalsprog	Engelsk
Tidsskrift	ASTIN Bulletin: The Journal of the IAA
Vol/bind	43
Udgave nummer	3
Sider (fra-til)	323-357
ISSN	0515-0361
DOI	https://doi.org/10.1017/asb.2013.16
Status	Udgivet - sep. 2013

Adgang til dokumentet

10.1017/asb.2013.16

Citationsformater

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