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Notes on the variance of a widow's pension

Published online by Cambridge University Press:  20 April 2012

P. P. Boyle
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Extract

Pollard and Pollard have considered a stochastic approach to certain actuarial problems. In their notation ãx denotes the random variable whose expected value is ax. The random variable ãx depends on the random variable, time until death and the (assumed constant) rate of interest. The authors show how to calculate the second and higher-order moments of some common actuarial random variables such as ãx and Ãx. The second moments, in particular, are useful in estimating confidence limits for the total liability in respect of a group of contracts.

Type
Other
Information
Journal of the Institute of Actuaries , Volume 101 , Issue 1 , June 1974 , pp. 103 - 107
Copyright
Copyright © Institute and Faculty of Actuaries 1974

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References

(1) Pollard, A. H. and Pollard, J. H. A Stochastic Approach to Actuarial Functions. J.I.A., 1969, 95, 79.Google Scholar