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Implicit options in life insurance contracts

Part 2 — The case of flexible expiration options in endowment contracts

Implizite Optionen in Lebensversicherungsverträgen

Teil 2 — Die Abrufoption bei der Kapital-Lebensversicherung

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Blätter der DGVFM

Zusammenfassung

In dieser Arbeit untersuchen wir den Wert der Abrufoption einer Kapital-Lebensversicherung. Diese Option gibt dem Versicherungsnehmer das Recht, den Versicherungsvertrag vor dem vereinbarten Ablauftermin zu beenden. Die Option ist im Wesentlichen äquivalent zu einer Bermuda Put-Option auf einen Kupon-Bond. Wir bewerten die Option in einem Hull-White Modell. Weiterhin führen wir umfangreiche Sensitivitätsanalysen bezüglich der Parameter des Versicherungsvertrages und des Kapitalmarktes durch

Summary

In the present paper we analyze the value of a flexible expiration option in endowment contracts. This option gives the policy-holder the rigth to terminate his policy before the regular expiration. The option is essentially equivalent to a Bermuda put option on a coupon bond. We evaluate the option within a Hull-White model framework and give empirical results. Furthermore, we perform extensive sensitivity analysis with respect to parameters of the insurance contract, as well as capital market parameters.

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References

  1. Aase, Knut K. andPersson, Svein-Arne (1994): Pricing of Unit-Linked Insurance Policies. Scandinavian Actuarial Journal, 1, 1994: 26–52.

    MathSciNet  Google Scholar 

  2. Barraquand, J. andMartineau, D. (1995): Numerical Valuation of High Dimensional Multivariate American Securities. Journal of Financial and Quantitative Analysis, 30: 383–405.

    Article  Google Scholar 

  3. Broadie, M. andGlassermann, P. (1997): Pricing American-Style Securities Using Simulation. Journal of Economic Dynamics and Control, 21: 1323–1352.

    Article  MATH  MathSciNet  Google Scholar 

  4. Broadie, M., Glassermann, P. andJain, G. (1997): Enhanced Monte Carlo Estimates for American Option Prices. Journals of Derivatives, Fall 1997: 25–44.

  5. Duffie, Darrell (1996): Dynamic Asset Pricing Theory. Princeton University Press, Princeton, New Jersey.

    Google Scholar 

  6. Gerdes, Wolfgang (1997): Bewertung von Finanzoptionen in Lebensversicherungsprodukten. Der Aktuar, 3, 3: 117–124.

    MathSciNet  Google Scholar 

  7. Ho, T. S. andLee, S.-B. (1985): Term Structure Movements and Pricing Interest Rate Contingent Claims. Journal of Finance, 41: 1011–1029.

    Article  Google Scholar 

  8. Hull, John C. (1997): Options, Futures, and other Derivatives. Third Edition, Prentice Hall International.

  9. Hull, John C. andWhite, Alan (1990): Pricing Interest Derivative Securities. Review of Financial Studies, 3, 4: 573–592.

    Article  Google Scholar 

  10. Hull, John C. andWhite, Alan (1994): Numerical Procedures for Implementing Term Structure Models I: Single Factor Models. The Journal of Derivatives, 2, 1: 7–16.

    Article  Google Scholar 

  11. Jamshidian, Farshid (1989): An Exact Bond Option Formula. Journal of Finance, 44: 205–209.

    Article  Google Scholar 

  12. Ruß, Jochen (1999): Die Aktienindexgebundene Lebensversicherung mit garantierter Mindestverzinsung in Deutschland. IFA-Verlag, Ulm.

  13. Ruß, Jochen andSchittenhelm, Frank A. (1999): Abrufoption bei Aktienindexgebundenen Lebens- und Rentenversicherungen. Zeitschrift für die gesamte Versicherungswissenschaft, 4: 683–694.

    Article  Google Scholar 

  14. Tilley, J. A. (1993): Valuing American Options in a Path Simulation Model. Transactions of the Society of Actuaries, 45: 499–520.

    Google Scholar 

  15. Vasicek, O. A. (1977): An Equilibrium Characterisation of the Term Structure. Journal of Financial Economics, 5: 177–188.

    Article  Google Scholar 

Download references

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Dillmann, T., Ruß, J. Implicit options in life insurance contracts. Blätter DGVFM 25, 225–235 (2001). https://doi.org/10.1007/BF02809050

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  • DOI: https://doi.org/10.1007/BF02809050

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