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fix(returns): xirr returns None for identically-zero NPV (not the seed) - #1840
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Closes #1817. A cash-flow series whose flows net to zero on EVERY date has NPV(r) = Σ Sₜ/(1+r)ᵗ with every date-net Sₜ = 0 — i.e. NPV is identically zero at every rate, so the IRR is undefined. With ≥2 distinct dates (two same-day washes on different days) this slips past both the sign-change guard (the canceling flows are +/-) and the all-same-date guard, and Newton's iteration-0 `|NPV| < tol` check then succeeds at the 0.10 seed — so xirr fabricated a +10% return for an undefined series. Detect it exactly: group flows by date and, if every date's net is zero (checked in Decimal — the (1+r)⁻ᵗ for distinct t are linearly independent, so identically-zero NPV ⟺ every Sₜ = 0), return None. This complements the existing all-same-date guard (which catches the nonzero-constant NPV case). Tests: the two-date wash now returns None (was 0.10); and a guard against over-firing — a series whose UNDISCOUNTED total is zero but whose dates differ (-1000 then +1000 a year later) is a genuine 0% return and is still solved. Found in the #1816 round-3 review; the extraction side already avoids emitting the trigger, this closes the underlying engine edge.
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Pull request overview
Fixes a correctness edge case in rustledger-returns’s xirr solver where a cash-flow series with NPV identically zero for all rates could previously return the Newton seed (0.10) instead of indicating “undefined” via None.
Changes:
- Adds an exact degeneracy guard in
xirr: group cash flows by date and returnNonewhen every date’s net flow is zero (so NPV is identically zero). - Adds regression coverage for the two-date “wash” series that previously fabricated
0.10. - Adds a non-regression test ensuring the guard does not fire when the undiscounted sum is zero but the series is time-structured (a legitimate ~0% IRR).
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What
Closes #1817.
xirrcould return a fabricated0.10(its Newton seed) for a degenerate series whose NPV is identically zero at every rate.The bug
A series whose flows net to zero on every date — e.g. two same-day deposit/withdrawal washes on two different days:
has
NPV(r) = Σ Sₜ/(1+r)ᵗwith every date-netSₜ = 0, so NPV is identically zero at every rate. This slips past both existing guards (the canceling flows are+/-, and there are ≥2 distinct dates), and Newton's iteration-0|NPV| < tolcheck then succeeds at the seed — soxirrreturned+10%for a genuinely-undefined series.The fix
Detect it exactly: group the flows by date and return
Noneif every date's net is zero, checked inDecimal. This is rigorous, not a heuristic — the functions(1+r)⁻ᵗfor distincttare linearly independent, so identically-zero NPV ⟺ everySₜ = 0. No rate-sampling, so no false positives. It complements the existing all-same-date guard (which catches the nonzero-constant NPV case).Tests
None(was0.10).-1000then+1000a year later) is a genuine 0% return and must still be solved — asserted to return~0%, notNone.50 engine tests pass; clippy/doc/fmt clean.
Found in the #1816 round-3 review; the extraction side already avoids emitting the trigger — this closes the underlying engine edge.
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