Änderungen von abgekürzten Kapitalversicherungen anomaler Risiken mit multiplikativer Übersterblichkeit

On the assumption that the probability of death of an abnormal risk is subject to constant multiple extramortality the author gives the formulae for the risk premiums — with and without restitution at the end of the endowment period — and for the changes in the mathematical reserves arising from these risk premiums. He describes and formularises the problems resulting from changes in an endowment insurance concluded to cover an abnormal risk and thoroughly investigates the permanent shortening of the term of assurance by means of supplemental premium reserve payments. By way of example he shows that there is no need for changes in the risk premiums at least for certain graduated supplemental payments.