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Distribution of Surplus in Life Insurance

Published online by Cambridge University Press:  29 August 2014

Henrik Ramlau-Hansen*
Affiliation:
Baltica Insurance Company Ltd., Ballerup, Denmark
*
Baltica Insurance Company Ltd., Klausdalsbrovej 601, DK-2750 Ballerup, Denmark.
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Abstract

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This paper discusses distribution of surplus in life insurance within a general Markov chain framework. A conservative interest rate and a conservative set of transition intensities are used for reserving purposes whereas more realistic assumptions are used for the purpose of distributing surplus. The paper examines various actuarial aspects of distributing surplus through either cash bonuses, terminal bonuses or increased benefits. The results are illustrated by some examples.

Type
Articles
Copyright
Copyright © International Actuarial Association 1991

References

REFERENCES

Berger, A. (1939) Mathematik der Lebensversicherung, Springer, Wien.CrossRefGoogle Scholar
Hoem, J. M. (1969) Markov chain models in life insurance. Blatter der Deutschen Gesellschaft für Versicherungsmathematik IX, 97107.Google Scholar
Hoem, J.M. (1988) The versatility of the Markov chain as a tool in the mathematics of life insurance. Transactions of the 23rd international congress of actuaries, vol. R, 171202.Google Scholar
Ramlau-Hansen, H. (1988) The emergence of profit in life insurance. Insurance: Mathematics and Economics 7, 225236.Google Scholar
Simonsen, W. (1970) Forsikringsmatematik, hefte III. Københavns Universitets Fond til tilvejebringelse af læremidler.Google Scholar
Sverdrup, E. (1969) Noen forsikringsmatematiske emner. Statistical memoirs No. 1, Institute of Mathematics, University of Oslo.Google Scholar