FA-63347 / Actuarial life tables / Member archive

Life table survivors from mortality rates: The terminal rate of one is rejected · case 02

Every properly closed table is reported as invalid.

Member previewVariant 2 · 3 implementations · 12 checks per implementation

Case contract

Input q (per 100000, last must be 100000 else 'open table'; any outside [0,100000] -> 'invalid q') and radix (<=0 -> 'invalid radix'). l_0 = radix; l_{k+1} = l_k*(1-q_k) rounded half-up at every age; d_k = l_k - l_{k+1}. Return [l, d].

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 fixture

This sample comes from the broken implementation of a controlled reproducer.

Boundary fixture	Actual	Expected	Outcome
closed table 0	`"invalid q"`	`[[73425, 72526, 71503, 70373, 69117, 67704, 66144, 64408, 62491, 60401, 0], [899, 1023, 1130, 1256, 1413, 1560, 1736, 1917, 2090, 60401]]`	Failed

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