Test for changes in the modeled solvency capital requirement of an internal risk model

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

  • Daniel Gaigall

Externe Organisationen

  • HDI Versicherung AG
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Details

OriginalspracheEnglisch
Seiten (von - bis)813-837
Seitenumfang25
FachzeitschriftAstin bulletin
Jahrgang51
Ausgabenummer3
PublikationsstatusVeröffentlicht - 6 Aug. 2021

Abstract

In the context of the Solvency II directive, the operation of an internal risk model is a possible way for risk assessment and for the determination of the solvency capital requirement of an insurance company in the European Union. A Monte Carlo procedure is customary to generate a model output. To be compliant with the directive, validation of the internal risk model is conducted on the basis of the model output. For this purpose, we suggest a new test for checking whether there is a significant change in the modeled solvency capital requirement. Asymptotic properties of the test statistic are investigated and a bootstrap approximation is justified. A simulation study investigates the performance of the test in the finite sample case and confirms the theoretical results. The internal risk model and the application of the test is illustrated in a simplified example. The method has more general usage for inference of a broad class of law-invariant and coherent risk measures on the basis of a paired sample.

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Test for changes in the modeled solvency capital requirement of an internal risk model. / Gaigall, Daniel.
in: Astin bulletin, Jahrgang 51, Nr. 3, 06.08.2021, S. 813-837.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Gaigall D. Test for changes in the modeled solvency capital requirement of an internal risk model. Astin bulletin. 2021 Aug 6;51(3):813-837. doi: 10.1017/asb.2021.20, 10.15488/11593
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