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Unit-Linked Life Insurance Contracts with Lapse Rates Dependent on Economic Factors

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  • Kolkiewicz, A. W.
  • Tan, K. S.

Abstract

Many recently introduced unit-linked life insurance policies contain provisions allowing policyholders to lapse the product. The problem of pricing this surrender option is difficult as it involves modelling lapse decisions which may be contingent on different factors. This paper develops a methodology which enables us to model lapse behaviour within a framework provided by developments in financial economics. Using marked point processes with stochastic intensities, we present an approach which accounts for changes in the lapse behaviour of policyholders due to different economic factors. As a result, the model produces more accurate financial values for insurance contracts contingent on financial markets. In the context of unit-linked policies, we illustrate the method by allowing the lapse decision to depend on the stochastic volatility of the underlying asset. Our simulation study indicates that there is a strong relation between the single premiums of these policies and the lapse behaviour.

Suggested Citation

  • Kolkiewicz, A. W. & Tan, K. S., 2006. "Unit-Linked Life Insurance Contracts with Lapse Rates Dependent on Economic Factors," Annals of Actuarial Science, Cambridge University Press, vol. 1(1), pages 49-78, March.
    • Handle: RePEc:cup:anacsi:v:1:y:2006:i:01:p:49-78_00
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    References listed on IDEAS

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    Cited by:

    1. Mark Kiermayer, 2021. "Modeling surrender risk in life insurance: theoretical and experimental insight," Papers 2101.11590, arXiv.org, revised Aug 2021.
    2. Kira Henshaw & Cedric H. A. Koffi & Olivier Menoukeu Pamen & Raghid Zeineddine, 2024. "On the valuation of life insurance policies for dependent coupled lives," Papers 2410.11849, arXiv.org.
    3. Martin Eling & Michael Kochanski, 2013. "Research on lapse in life insurance: what has been done and what needs to be done?," Journal of Risk Finance, Emerald Group Publishing Limited, vol. 14(4), pages 392-413, August.
    4. Ballotta, Laura & Eberlein, Ernst & Schmidt, Thorsten & Zeineddine, Raghid, 2021. "Fourier based methods for the management of complex life insurance products," Insurance: Mathematics and Economics, Elsevier, vol. 101(PB), pages 320-341.
    5. Matthew C. Chang & Shi-jie Jiang, 2010. "Surrender Effects On Policy Reserves: A Simulation Analysis Of Investment Guarantee Contracts," Global Journal of Business Research, The Institute for Business and Finance Research, vol. 4(4), pages 11-21.
    6. Marcos Escobar & Mikhail Krayzler & Franz Ramsauer & David Saunders & Rudi Zagst, 2016. "Incorporation of Stochastic Policyholder Behavior in Analytical Pricing of GMABs and GMDBs," Risks, MDPI, vol. 4(4), pages 1-36, November.
    7. Martin Eling & Dieter Kiesenbauer, 2012. "Does Surplus Participation Reflect Market Discipline? An Analysis of the German Life Insurance Market," Journal of Financial Services Research, Springer;Western Finance Association, vol. 42(3), pages 159-185, December.
    8. Kochanski, Michael, 2010. "Solvency capital requirement for German unit-linked insurance products," German Risk and Insurance Review (GRIR), University of Cologne, Department of Risk Management and Insurance, vol. 6(2), pages 33-70.
    9. Yilmaz Yildiz & Mehmet Baha Karan & Seyma Bayrak Salantur, 2017. "An Investigation on Early Voluntary Withdrawals from Individual Retirement Accounts: An Empirical Study on an Emerging Market," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 42(4), pages 732-756, October.

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