Confidence Bounds for Discounted Loss Reserves

Hoedemakers, Tom; Beirlant, Jan; Goovaerts, Marc; Dhaene, Jan

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Confidence Bounds for Discounted Loss Reserves

Insurance: Mathematics and Economics, Vol. 33, No. 2, pp. 297-316, 2003

25 Pages Posted: 1 Mar 2006

See all articles by Tom Hoedemakers

Tom Hoedemakers

KU Leuven - Faculty of Business and Economics (FEB)

Marc Goovaerts

Catholic University of Leuven (KUL) - Department of Economics

In this paper we give some methods to set up confidence bounds for the discounted IBNR reserve. We start with a loglinear regression model and estimate the parameters by maximum likelihood such as given for example in Doray, 1996. The knowledge of the distribution function of the discounted IBNR reserve (S) will help us to determine the initial reserve, for example through the 95th percentile. The results are based on convex order techniques, such that our approximations for the distribution function of S are larger or smaller, in convex order sense, than the true distribution function of S.

Keywords: IBNR, confidence bound, comonotonicity, simulation

Suggested Citation: Suggested Citation

Hoedemakers, Tom and Beirlant, Jan and Goovaerts, Marc and Dhaene, Jan, Confidence Bounds for Discounted Loss Reserves. Insurance: Mathematics and Economics, Vol. 33, No. 2, pp. 297-316, 2003, Available at SSRN: https://ssrn.com/abstract=887024