FA-63589 / Actuarial life tables / Member archive
Mortality improvement projection: Improvement is applied linearly · case 04
Long projections over-improve mortality.
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 |
|---|---|---|---|
| generational projection | [0.00721755, 0.00796608, 0.00870525, 0.00943776, 0.01016631] | [0.00723147, 0.00798761, 0.00873591, 0.00947886, 0.01021888] | Failed |
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