FA-63582 / Actuarial life tables / Member archive
Mortality improvement projection: Projected rates can exceed one · case 02
De-improved old-age rates exceed one.
Case contract
Input q {age: per 100000 at base_year}, aa {age: annual improvement per 10000}, age, year, n, mode static|generational. For k<n: attained age age+k, projection year = year+k (generational) or year (static); q = min(1, q_base*(1-AA)^(year-base)) with negative exponents de-improving. Missing age -> 'missing age <a>'. Return rates rounded to 8.
Why this case matters
Life-table arithmetic compounds across ages, so one misplaced index or assumption shifts every downstream value.
One recorded failure
Sample boundary fixtureThis sample comes from the broken implementation of a controlled reproducer.
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| de-improvement near one | [0.0198327, 1.16252353] | [0.0198327, 1.0] | Failed |
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