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A sensitivity analysis of typical life insurance contracts with respect to the technical basis

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  • Christiansen, Marcus C.

Abstract

In [Christiansen, M.C., 2007. A sensitivity analysis concept for life insurance with respect to a valuation basis of infinite dimension. Insurance: Math. Econom. doi:10.1016/j.insmatheco.2007.07.005] a sensitivity analysis concept was introduced for the prospective reserve of individual life insurance contracts as functional of the technical basis parameters such as interest rate, mortality probability, disability probability, et cetera. On the basis of that concept, the present paper gives in addition the sensitivities of the premium level. Applying these approaches, an extensive sensitivity analysis is carried out: A study of the basic life insurance contract types [`]pure endowment insurance', [`]temporary life insurance', [`]annuity insurance' and [`]disability insurance' identifies their diverse characteristics, in particular their weakest points concerning fluctuations of the technical basis. An investigation of combinations of these insurance contract types shows what synergy effects can be expected by creating insurance packages.

Suggested Citation

  • Christiansen, Marcus C., 2008. "A sensitivity analysis of typical life insurance contracts with respect to the technical basis," Insurance: Mathematics and Economics, Elsevier, vol. 42(2), pages 787-796, April.
    • Handle: RePEc:eee:insuma:v:42:y:2008:i:2:p:787-796
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    References listed on IDEAS

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    1. Ramlau-Hansen, Henrik, 1988. "The emergence of profit in life insurance," Insurance: Mathematics and Economics, Elsevier, vol. 7(4), pages 225-236, December.
    2. Milbrodt, Hartmut & Stracke, Andrea, 1997. "Markov models and Thiele's integral equations for the prospective reserve," Insurance: Mathematics and Economics, Elsevier, vol. 19(3), pages 187-235, May.
    3. Olivieri, Annamaria, 2001. "Uncertainty in mortality projections: an actuarial perspective," Insurance: Mathematics and Economics, Elsevier, vol. 29(2), pages 231-245, October.
    4. Khalaf-Allah, M. & Haberman, S. & Verrall, R., 2006. "Measuring the effect of mortality improvements on the cost of annuities," Insurance: Mathematics and Economics, Elsevier, vol. 39(2), pages 231-249, October.
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    Cited by:

    1. Rabitti, Giovanni & Borgonovo, Emanuele, 2020. "Is mortality or interest rate the most important risk in annuity models? A comparison of sensitivity analysis methods," Insurance: Mathematics and Economics, Elsevier, vol. 95(C), pages 48-58.
    2. Christiansen, Marcus C. & Furrer, Christian, 2021. "Dynamics of state-wise prospective reserves in the presence of non-monotone information," Insurance: Mathematics and Economics, Elsevier, vol. 97(C), pages 81-98.
    3. Christiansen, Marcus C., 2010. "Biometric worst-case scenarios for multi-state life insurance policies," Insurance: Mathematics and Economics, Elsevier, vol. 47(2), pages 190-197, October.

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