FA-63690 / Actuarial life tables / Member archive
Abridged to single-year mortality: Overlapping groups are accepted · case 05
Overlapping groups duplicate ages in the output.
Case contract
Input groups [[start age, width n, nqx per 100000]]; groups must be contiguous from the first start (else 'gap at <start>'). An nqx of 100000 is the open group and ends the table. Each closed group yields n equal single-year rates 1-(1-nqx)^(1/n) 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 |
|---|---|---|---|
| overlapping groups | [0.00080128, 0.00080128, 0.00080128, 0.00080128, 0.00080128, 0.00100201, 0.00100201, 0.00100201, 0.00100201, 0.00100201, 0.00120289, 0.00120289, 0.00120289, 0.00120289, 0.00120289] | "gap at 14" | Failed |
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