FA-63718 / Actuarial life tables / Member archive

Double-decrement death and lapse table: Deaths are reduced by the full lapse rate · case 03

Dependent death rates are too low.

Member previewVariant 3 · 3 implementations · 9 checks per implementation

Case contract

Input qd, qw (associated single-decrement rates per 100000, equal lengths else 'length mismatch'), timing udd|eoy, radix. UDD in each decrement: q(d)=q'd(1-q'w/2), q(w)=q'w(1-q'd/2). eoy (lapses at year end): q(d)=q'd, q(w)=(1-q'd)q'w. Each year counts are rounded half-up and subtracted from l. Return [[deaths, lapses] per year, final l].

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
udd decrement table 0	`[[[924, 12037], [1068, 10504], [1263, 6646], [1396, 9108]], 54793]`	`[[[989, 12037], [1144, 10496], [1325, 6634], [1507, 9082]], 54525]`	Failed

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