Zur Verteilung der Abschlusskosten in deutschen Lebensversicherungen

It will be shown that an amortization spread of the acquisition costs to the first N years of a classical german life insurance policy or lifelong annuity always leads to a non negative technical provision at the end of the first year if ( N,{=},5 ) (and the technical provision starting with zero). For usual combinations of the age at entry and the policy duration even ( N,{=},3 ) is sufficient for this purpose. The legal specification given by the new version of VVG in Germany concerning surrender value (i.e. positive value even in case of early lapse) is therefore consistent with the requirement of a amortization spread to 5 years. Additionally a recursion formula for the technical provision with N years spreaded acquisition costs is proven.