Finance Department


Date of this Version


Document Type



Journal of Actuarial Practice 9 (2001), pp. 45-66


Copyright 2001 Absalom Press


MUlti-year policies with large aggregate deductibles or multiple triggers raise some interesting issues about the correct amount of unearned premium reserve that a company should carry. Examples in this paper illustrate some of the difficulties that arise when trying to establish such reserves. The basic approach taken here is that the pure premium portion of the unearned premium reserve should always be adequate to cover the remaining risk. This approach, however, can lead to some unusual and controversial earning patterns; there are even situations where a negative premium is earned. In addition, the earning pattern for a particular loss scenario can differ materially from the earning pattern that is expected when the contract is written.