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  4. openIRM: publicly accessible internal risk model of an artificial life insurer for analyzing and benchmarking actuarial methods in the solvency II setting
 
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2025
Journal Article
Title

openIRM: publicly accessible internal risk model of an artificial life insurer for analyzing and benchmarking actuarial methods in the solvency II setting

Abstract
We introduce, the Internal Risk Model of an artificial life insurer, designed to allow an easy benchmarking of nested simulation techniques for Solvency Capital Requirement () estimation under Solvency II and other actuarial methods. integrates an economic scenario generator and a cash flow projection model, enabling the computation of the available capital (basic own funds) through both the direct and indirect method. Leveraging a two-factor Gaussian model for stochastic short rates and a generalized Black-Scholes model for stock dynamics, the framework supports policyholder investments via guaranteed minimum-income benefit contracts. We extend the asset-liability management model by Diehl et al. (EAJ 13(1), 2022), and prove the theoretical convergence of the direct and indirect method under appropriate assumptions. Calibrated using interest rate caps from 2016 to the end of 2023, allows estimation of available capital distributions and dynamics for each trading day in that range. The source code of written in MATLAB is publicly available on gitlab at https://gitlab.cc-asp.fraunhofer.de/itwm-fm-lv-public/openirm. We also provide standalone executables that, after installation, can be accessed via the command line interface or with the provided wrappers in R, Python and MATLAB.
Author(s)
Wolf, Mark-Oliver
Fraunhofer-Institut für Techno- und Wirtschaftsmathematik ITWM  
Meyer, Benedict Nikolaus
Fraunhofer-Institut für Techno- und Wirtschaftsmathematik ITWM  
Mahler, Philipp  
Fraunhofer-Institut für Techno- und Wirtschaftsmathematik ITWM  
Diehl, Maximilian
Rheinland-Pfälzische Technische Universität Kaiserslautern-Landau
Journal
European actuarial journal  
Open Access
File(s)
Download (9.38 MB)
Rights
CC BY 4.0: Creative Commons Attribution
DOI
10.1007/s13385-025-00435-6
10.24406/publica-6709
Additional link
Full text
Language
English
Fraunhofer-Institut für Techno- und Wirtschaftsmathematik ITWM  
Keyword(s)
  • Actuarial mathematics

  • asset-liability management

  • direct method

  • fair valuation

  • indirect method

  • internal risk model

  • life insurance company

  • nested simulation problem

  • solvency capital requirement

  • Solvency II

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