Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-23T12:57:33.423Z Has data issue: false hasContentIssue false

The Extra Premium for a Premium Rebate Benefit in Recurrent Single Premium Group Life Assurance

Published online by Cambridge University Press:  11 August 2014

Get access

Extract

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.

Type
Research Article
Copyright
Copyright © Institute of Actuaries Students' Society 1961

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

[1] Walsh, J. E. On the large sample distribution of mortality rates based on statistically independent lives. T.S.A. 3, 228.Google Scholar
[2] Green, P. J. H. The calculation of premiums for profit sharing group death benefit policies. J.S.S. 13, 118.Google Scholar
[3] Daw, R. H. Duplicate policies in mortality data. J.I.A. 77, 261.Google Scholar
[4] Solomon, L. The analysis of heterogeneous mortality data. J.I.A. 74, 94.Google Scholar
[5] Kendall, M. G. The Advanced Theory of Statistics, Vol. 2, chap. 21, § 20.Google Scholar
[6] The Registrar General's Decennial Supplement, 1951, Occupational Mortality, Part 1.Google Scholar
[7] Larson, A. W. A method of calculating group term dividends. T.S.A. 4, 308.Google Scholar
[8] Jackson, P. H. Experience rating. T.S.A. 5, 239.Google Scholar