TY  - JOUR
A1  - Gaigall, Daniel
T1  - Test for Changes in the Modeled Solvency Capital Requirement of an Internal Risk Model
JF  - ASTIN Bulletin
N2  - 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.
KW  - Bootstrap
KW  - Empirical process
KW  - Functional Delta Method
KW  - Hadamard differentiability
KW  - Paired sample
Y1  - 2021
U6  - http://dx.doi.org/10.1017/asb.2021.20
SN  - 1783-1350
VL  - 51
IS  - 3
SP  - 813
EP  - 837
PB  - Cambridge Univ. Press
CY  - Cambridge
ER  -