Existence of a classical solution to the integro-differential equation arising in the Cram\'er--Lundberg non-life insurance model with proportional investment
Abstract
This paper establishes that the survival probability in the non-life Cram\'er--Lundberg insurance model with proportional investment is a classical C2-solution of the associated integro-differential equation under minimal moment conditions: it suffices that the claim size distribution is continuous and possesses a finite moment of some positive order.
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