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Excess of Loss Reinsurance and the Probability of Ruin in Finite Horizon

Published online by Cambridge University Press:  29 August 2014

Maria de Lourdes Centeno*
Affiliation:
ISEG, Technical University of Lisbon, July, 1995
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Abstract

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The upper bound provided by Lundberg's inequality can be improved for the probability of ruin in finite horizon, as Gerber (1979) has shown. This paper studies this upper bound as a function of the retention limit, for an excess of loss arrangement, and compares it with the probability of ruin.

Type
Articles
Copyright
Copyright © International Actuarial Association 1997

References

Bowers, N L, Gerber, H U, Hickman, J C, Jones, D A and Nesbitt, C J (1987) Actuarial Mathematics, Society of Actuaries, ChicagoGoogle Scholar
Centeno, L (1986) Measuring the effects of reinsurance by the adjustment coefficient, Insurance Mathematics and Economics 5 169182CrossRefGoogle Scholar
De Vylder, FAndgoovaerts, M J (1988) Recursive calculation of finite-time ruin probabilities, Insurance Mathematics and Economics 7 18CrossRefGoogle Scholar
Dickson, D and Waters, H (1991) Recursive calculation of survival probabilities, Astin Bulletin 21 199221CrossRefGoogle Scholar
Dickson, D and Waters, H (1994) Reinsurance and ruin, University of Melbourne, CAS, Research Paper SeriesGoogle Scholar
Gerber, H.U (1979) An Introduction to Mathematical Risk Theory, S S Huebner Foundation Monographs, University of PensylvaniaGoogle Scholar
Hesselager, O (1990) Some results on optimal reinsurance in terms of the adjustment coefficient, Scandinavian Actuarial Journal pp 8095CrossRefGoogle Scholar
Panjer, H H (1986) Direct calculation of ruin probabilities, The Journal of Risk and Insurance 53 521529CrossRefGoogle Scholar
Waters, H (1979) Excess of loss reinsurance limits, Scandinavian Actuarial Journal pp 3743CrossRefGoogle Scholar