TEST FOR CHANGES IN THE MODELED SOLVENCY CAPITAL REQUIREMENT OF AN INTERNAL RISK MODEL
- 6 August 2021
- journal article
- research article
- Published by Cambridge University Press (CUP) in ASTIN Bulletin
- Vol. 51 (3), 813-837
- https://doi.org/10.1017/asb.2021.20
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.Keywords
This publication has 32 references indexed in Scilit:
- Noninformative Priors for the Difference of Two Quantiles in Exponential ModelsCommunications for Statistical Applications and Methods, 2007
- Exact two-sample nonparametric test for quantile difference between two populations based on ranked set samplesAnnals of the Institute of Statistical Mathematics, 2007
- Confidence regions for the ratio of percentilesStatistics & Probability Letters, 2006
- Comparison Between Two Quantiles: The Normal and Exponential CasesCommunications in Statistics - Simulation and Computation, 2005
- Two-sample quantile tests under general conditionsBiometrika, 1999
- Weak Convergence and Empirical ProcessesJournal of the American Statistical Association, 1997
- Distribution–free confidence intervals for the difference between quantilesStatistica Neerlandica, 1990
- A DISTRIBUTION–FREE CONFIDENCE INTERVAL FOR THE DIFFERENCE BETWEEN QUANTILES WITH CENSORED DATAStatistica Neerlandica, 1986
- Testing the equality of two normal percentilesCommunications in Statistics - Simulation and Computation, 1985
- AN APPROXIMATE CONFIDENCE INTERVAL FOR THE DIFFERENCE BETWEEN QUANTILES IN A BIO‐MEDICAL PROBLEMStatistica Neerlandica, 1984