FA-63668 / Actuarial life tables / Member archive

Abridged to single-year mortality: Group probability is divided linearly · case 03

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

Member previewVariant 3 · 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	`[0.00436, 0.000675, 0.000675, 0.000675, 0.000675, 0.000718, 0.000718, 0.000718, 0.000718, 0.000718, 0.005282, 0.005282, 0.005282, 0.005282, 0.005282, 0.000692, 0.000692, 0.000692, 0.000692, 0.000692, 0.005982, 0.005982, 0.005982, 0.005982, 0.005982, 0.001228, 0.001228, 0.001228, 0.001228, 0.001228]`	`[0.00436, 0.00067568, 0.00067568, 0.00067568, 0.00067568, 0.00071903, 0.00071903, 0.00071903, 0.00071903, 0.00071903, 0.0053387, 0.0053387, 0.0053387, 0.0053387, 0.0053387, 0.00069296, 0.00069296, 0.00069296, 0.00069296, 0.00069296, 0.00605488, 0.00605488, 0.00605488, 0.00605488, 0.00605488, 0.00123103, 0.00123103, 0.00123103, 0.00123103, 0.00123103]`	Failed

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