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Risk-Minimizing Hedging Strategies for Unit-Linked Life Insurance Contracts

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  • Møller, Thomas

Abstract

A unit-linked life insurance contract is a contract where the insurance benefits depend on the price of some specific traded stocks. We consider a model describing the uncertainty of the financial market and a portfolio of insured individuals simultaneously. Due to incompleteness the insurance claims cannot be hedged completely by trading stocks and bonds only, leaving some risk to the insurer. The theory of risk-minimization is briefly reviewed and applied after a change of measure. Risk-minimizing trading strategies and the associated intrinsic risk processes are determined for different types of unit-linked contracts. By extending the model to the situation where certain reinsurance contracts on the insured lives are traded, the direct insurer can eliminate the risk completely. The corresponding self-financing strategies are determined.

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  • Møller, Thomas, 1998. "Risk-Minimizing Hedging Strategies for Unit-Linked Life Insurance Contracts," ASTIN Bulletin, Cambridge University Press, vol. 28(1), pages 17-47, May.
    • Handle: RePEc:cup:astinb:v:28:y:1998:i:01:p:17-47_01
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    Cited by:

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    2. Nielsen, J. Aase & Sandmann, Klaus & Schlögl, Erik, 2011. "Equity-linked pension schemes with guarantees," Insurance: Mathematics and Economics, Elsevier, vol. 49(3), pages 547-564.
    3. Coleman, Thomas F. & Li, Yuying & Patron, Maria-Cristina, 2006. "Hedging guarantees in variable annuities under both equity and interest rate risks," Insurance: Mathematics and Economics, Elsevier, vol. 38(2), pages 215-228, April.
    4. 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.
    5. Lee, Hangsuck, 2003. "Pricing equity-indexed annuities with path-dependent options," Insurance: Mathematics and Economics, Elsevier, vol. 33(3), pages 677-690, December.
    6. Gan, Guojun & Valdez, Emiliano A., 2017. "Modeling partial Greeks of variable annuities with dependence," Insurance: Mathematics and Economics, Elsevier, vol. 76(C), pages 118-134.
    7. Chen, An, 2005. "Loss Analysis of a Life Insurance Company Applying Discrete-time Risk-minimizing Hedging Strategies," Bonn Econ Discussion Papers 19/2005, University of Bonn, Bonn Graduate School of Economics (BGSE).
    8. Devolder, Pierre & Domínguez-Fabián, Inmaculada, 2005. "Fair Valuation of Various Participation Schemes in Life Insurance," ASTIN Bulletin, Cambridge University Press, vol. 35(1), pages 275-297, May.
    9. Мельников А.В. & Молибога М.М., 2003. "Расчеты Схем Гибкого Страхования," Higher School of Economics Economic Journal Экономический журнал Высшей школы экономики, CyberLeninka;Федеральное государственное автономное образовательное учреждение высшего образования «Национальный исследовательский университет «Высшая школа экономики», vol. 7(2), pages 139-172.
    10. Iryna Honcharenko & Olena Berezina, 2017. "Challenges And Strategic Priorities For The Development Of Investment Insurance In Ukraine," Baltic Journal of Economic Studies, Publishing house "Baltija Publishing", vol. 3(5).

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