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On the Numerical Evaluation of Stop-Loss Premiums

Published online by Cambridge University Press:  29 August 2014

F. Covens
Affiliation:
Institute of Actuarial Science., Catholic University Louvain, Louvain, Belgium
M. Van Wouwe
Affiliation:
Institute of Actuarial Science., Catholic University Louvain, Louvain, Belgium
M. Goovaerts
Affiliation:
Institute of Actuarial Science., Catholic University Louvain, Louvain, Belgium
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Abstract

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A numerical procedure is described to evaluate the stop-loss premium in case the risk process is a compound Poisson process. The method is mainly based on an algorithm of R. Piessens and M. Branders for the numerical evaluation of Fourier transforms.

Type
Research Article
Copyright
Copyright © International Actuarial Association 1979

References

REFERENCE

Bohman, H. and Esscher, F. (1963). Studies in Risk Theory, Skandinavisk Aktuarietidskrift, 46, 173225.Google Scholar
Gradshteyn, I. S. and Ryzhik, I. M. (1965). Table of Integrals, Series and Products. New York: Academic Press.Google Scholar
Halmstad, D. (1976). Exact Numerical Procedures in Discrete Risk Theory, Transactions of the 20th International Congress of Actuaries, Tokyo, 557562.Google Scholar
Piessens, R. and Branders, M. (1975). Algorithm 002, Computation of Oscillating Integrals, Journal of Computational and Applied Mathematics 1, 153164.CrossRefGoogle Scholar
Seal, H. (1977). Numerical Inversion of Characteristic Functions, Scandinavian Actuarial Journal 5, 4853.CrossRefGoogle Scholar
Thorin, O. and Wikstad, N. (1976). Calculation and Use of Ruin Probabilities, Transactions of the 20th International Congress of Actuaries, Tokyo, 773781.Google Scholar