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Published online by Cambridge University Press: 11 August 2014
1. Consider the question: Given the group life assurance premium for death benefits, what extra should be charged for a premium rebate on the basis that the cost of the rebate must be covered by the extra? Assume no additional administrative costs are involved.
2. Let the rebate be a proportion s of the excess of a fraction a of the total office premium P′ over the total claim C in a year. The rebate is then s(αP′– C). Usually the benefit is more complicated, but as explained in §8, the extra premium for the more complex benefit is related in a simple manner to the extras for the benefit described. In order to avoid scale constants the average sum assured per life is taken as unity.