John H. Pollard
Abstract
We develop a simple exact formula for determining cohort
life expectancies under constant continuous uniform improvement in mortality
using only a cross-sectional (period) Gompertz life table
for the lives concerned and a simple approximation applicable to all life
tables. The present values of annuities for such lives can be determined simply
and accurately across the whole age span.
Key words and phrases: Gompertz, life annuities, cohort mortality, cross-sectional mortality, period life table.
Corresponding Author:
John H. Pollard
Division of Economic and Financial Studies
NSW 2109
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