FA-63670 / Actuarial life tables / Member archive

Abridged to single-year mortality: Group probability is divided linearly · case 05

Single-year rates do not compound back to the group rate.

Member previewVariant 5 · 3 implementations · 7 checks per implementation

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 fixture

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

Boundary fixture	Actual	Expected	Outcome
infant groups	`[0.00877, 0.00039, 0.00039, 0.00039, 0.00039, 0.002892, 0.002892, 0.002892, 0.002892, 0.002892, 0.004, 0.004, 0.004, 0.004, 0.004, 0.00496, 0.00496, 0.00496, 0.00496, 0.00496, 0.002564, 0.002564, 0.002564, 0.002564, 0.002564, 0.00432, 0.00432, 0.00432, 0.00432, 0.00432]`	`[0.00877, 0.00039023, 0.00039023, 0.00039023, 0.00039023, 0.00290887, 0.00290887, 0.00290887, 0.00290887, 0.00290887, 0.00403239, 0.00403239, 0.00403239, 0.00403239, 0.00403239, 0.00500995, 0.00500995, 0.00500995, 0.00500995, 0.00500995, 0.00257725, 0.00257725, 0.00257725, 0.00257725, 0.00257725, 0.00435782, 0.00435782, 0.00435782, 0.00435782, 0.00435782]`	Failed

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