Premium Calculation for Deductible Policies with an Aggregate Limit

In Industrial Fire insurance an aggregate limit for the amount retained by the policyholder under a deductible policy has been agreed upon more frequently m recent times. This agreement is equivalent to a stop-loss cover on the retained loss amount. For the Poisson-lognormal model the corresponding stop-loss net premium is calculated using various methods (normal power, translated gamma, various discretisations) and the methods are compared. Finally, the influence of the model parameters is examined and it is demonstrated how a variety of parameter value combinations can be reduced to only a few rating curves. Keywords: Deductibles, aggregate limit, stop-loss Poisson-lognormal model. premium, Industrial Fire insurance, Poisson-lognormal model.