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A general asset-liability management model for the efficient simulation of portfolios of life insurance policies

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  • Gerstner, Thomas
  • Griebel, Michael
  • Holtz, Markus
  • Goschnick, Ralf
  • Haep, Marcus

Abstract

New regulations and a stronger competition have increased the importance of stochastic asset-liability management (ALM) models for insurance companies in recent years. In this paper, we propose a discrete time ALM model for the simulation of simplified balance sheets of life insurance products. The model incorporates the most important life insurance product characteristics, the surrender of contracts, a reserve-dependent bonus declaration, a dynamic asset allocation and a two-factor stochastic capital market. All terms arising in the model can be calculated recursively which allows an easy implementation and efficient simulation. Furthermore, the model is designed to have a modular organization which permits straightforward modifications and extensions to handle specific requirements. In a sensitivity analysis for sample portfolios and parameters, we investigate the impact of the most important product and management parameters on the risk exposure of the insurance company and show that the model captures the main behaviour patterns of the balance sheet development of life insurance products.

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  • Gerstner, Thomas & Griebel, Michael & Holtz, Markus & Goschnick, Ralf & Haep, Marcus, 2008. "A general asset-liability management model for the efficient simulation of portfolios of life insurance policies," Insurance: Mathematics and Economics, Elsevier, vol. 42(2), pages 704-716, April.
    • Handle: RePEc:eee:insuma:v:42:y:2008:i:2:p:704-716
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    Cited by:

    1. Eckert, Johanna & Gatzert, Nadine & Martin, Michael, 2016. "Valuation and risk assessment of participating life insurance in the presence of credit risk," Insurance: Mathematics and Economics, Elsevier, vol. 71(C), pages 382-393.
    2. Berdin, Elia, 2016. "Interest rate risk, longevity risk and the solvency of life insurers," ICIR Working Paper Series 23/16, Goethe University Frankfurt, International Center for Insurance Regulation (ICIR).
    3. Ana M. Ferreiro & Enrico Ferri & José A. García & Carlos Vázquez, 2021. "Global Optimization for Automatic Model Points Selection in Life Insurance Portfolios," Mathematics, MDPI, vol. 9(5), pages 1-19, February.
    4. Elia Berdin & Helmut Gründl, 2015. "The Effects of a Low Interest Rate Environment on Life Insurers," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 40(3), pages 385-415, July.
    5. Fabrice Borel-Mathurin & Pierre-Emmanuel Darpeix & Quentin Guibert & Stéphane Loisel, 2018. "Main Determinants of Profit-Sharing Policy in the French Life Insurance Industry," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 43(3), pages 420-455, July.
    6. Nalan Gülpınar & Dessislava Pachamanova & Ethem Çanakoğlu, 2016. "A robust asset–liability management framework for investment products with guarantees," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 38(4), pages 1007-1041, October.
    7. Lord Mensah, 2016. "Asset Allocation Brewed Accross African Stock Markets," Proceedings of Economics and Finance Conferences 3205757, International Institute of Social and Economic Sciences.
    8. Zemp, Alexandra, 2011. "Risk comparison of different bonus distribution approaches in participating life insurance," Insurance: Mathematics and Economics, Elsevier, vol. 49(2), pages 249-264, September.
    9. Bohnert, Alexander & Gatzert, Nadine, 2012. "Analyzing surplus appropriation schemes in participating life insurance from the insurer’s and the policyholder’s perspective," Insurance: Mathematics and Economics, Elsevier, vol. 50(1), pages 64-78.
    10. Aur'elien Alfonsi & Adel Cherchali & Jose Arturo Infante Acevedo, 2019. "A full and synthetic model for Asset-Liability Management in life insurance, and analysis of the SCR with the standard formula," Papers 1908.00811, arXiv.org.
    11. Ana Maria Ferreiro-Ferreiro & José Antonio García-Rodríguez & Luis A. Souto & Carlos Vázquez, 2020. "Efficient Model Points Selection in Insurance by Parallel Global Optimization Using Multi CPU and Multi GPU," Business & Information Systems Engineering: The International Journal of WIRTSCHAFTSINFORMATIK, Springer;Gesellschaft für Informatik e.V. (GI), vol. 62(1), pages 5-20, February.
    12. Bohnert, Alexander & Gatzert, Nadine & Jørgensen, Peter Løchte, 2015. "On the management of life insurance company risk by strategic choice of product mix, investment strategy and surplus appropriation schemes," Insurance: Mathematics and Economics, Elsevier, vol. 60(C), pages 83-97.
    13. Marco Di Francesco & Roberta Simonella, 2023. "A stochastic Asset Liability Management model for life insurance companies," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 37(1), pages 61-94, March.
    14. Gerstner, Thomas & Griebel, Michael & Holtz, Markus, 2009. "Efficient deterministic numerical simulation of stochastic asset-liability management models in life insurance," Insurance: Mathematics and Economics, Elsevier, vol. 44(3), pages 434-446, June.

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