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A numerical method is proposed to evaluate the survival function of acompound distribution and the stop-loss premiums associated with anon-proportional global reinsurance treaty. The method relies on arepresentation of the probability density function in terms of Laguerrepolynomials and the gamma density. We compare the method against a wellestablished Laplace transform inversion technique at the end of the paper.

Orthogonal polynomial expansions to evaluate stop-loss premiums