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FA-61426 / Options payoff and settlement / Open access

Arithmetic Asian payoff with disrupted fixings: a disruption before any valid fixing falls back to the strike · case 01

Schedules that start with a disrupted fixing average in the strike.

Verified by executionVariant 1 · 8 checks per implementationDownload source bundle ↓JSON ↗

ROOT CAUSE

The no-predecessor case substitutes the strike instead of the next valid fixing.

VERIFIED REPAIR

Use the next valid fixing when no earlier value exists.

Unsuccessful approach: Taking the last valid fixing of the schedule looks too far ahead.

Case contract

Inputs kind (price-call, price-put, strike-call), fixings (None = disrupted), strike and final price. A disrupted fixing takes the last preceding filled value; if none precedes, the next valid fixing. avg = mean of the filled fixings. price-call pays max(avg-K,0), price-put max(K-avg,0), strike-call max(final-avg,0). Round to 6.

Why this case matters

Option expiry, exercise and settlement engines move cash and shares; a wrong branch misstates obligations.

1 / The failure

Exit 1
"""Failure Map reference implementation. Python standard library only."""
import json

N = 1
observations = []
def solve(kind, fixings, strike, final):
    vals = list(fixings)
    filled = []
    for i, v in enumerate(vals):
        if v is None:
            prev = [x for x in filled if x is not None]
            later = [x for x in vals[i + 1:] if x is not None]
            v = prev[-1] if prev else strike
        filled.append(v)
    avg = sum(filled) / len(filled)
    if kind == 'price-call':
        pay = max(avg - strike, 0.0)
    elif kind == 'price-put':
        pay = max(strike - avg, 0.0)
    else:
        pay = max(final - avg, 0.0)
    return round(pay, 6)
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['regression leading disruption 1', ['price-call', [None, 114.94, 81.32], 90, 117.66], 13.733333], ['regression leading disruption 2', ['strike-call', [None, 100.0], 110, 106.13], 6.13], ['partial repair probe 1', ['price-call', [None, 100.0, 110.0], 100, 100.0], 3.333333], ['partial repair probe 2', ['price-put', [None, None, None, 116.32, None, 103.45], 110, 84.85], 0.0], ['boundary control 1', ['strike-call', [100.0, None, 90.0], 100, 120.0], 23.333333], ['normal control 1', ['strike-call', [108.09, 82.6, 92.83, None, 118.91, 91.14, None], 100, 85.45], 0.0], ['normal control 2', ['price-call', [85.01, 94.18, 82.1], 105, 116.61], 0.0], ['normal control 3', ['price-call', [100.84, 82.19, 118.59, 115.87, 90.57], 110, 107.03], 0.0]], [['regression leading disruption 1', ['price-call', [None, 91.48, 111.91, 116.49, 84.19, None, 82.85, 115.29], 90, 118.37], 7.235], ['regression leading disruption 2', ['price-put', [None, 108.91, 94.86], 105, 114.49], 0.773333], ['partial repair probe 1', ['price-call', [None, 100.0, 110.0], 100, 100.0], 3.333333], ['partial repair probe 2', ['price-put', [None, None, 108.41, None, None, 89.67], 100, 105.65], 0.0], ['boundary control 1', ['strike-call', [100.0, None, 90.0], 100, 120.0], 23.333333], ['normal control 1', ['strike-call', [119.84, 86.93, 84.4, 83.0, 99.72], 100, 106.94], 12.162], ['normal control 2', ['price-put', [85.42, 115.2, None, 88.06], 110, 85.92], 9.03], ['normal control 3', ['price-call', [None, None, 98.45, 106.81], 105, 119.97], 0.0]], [['regression leading disruption 1', ['price-put', [None, None, 85.09], 100, 101.35], 14.91], ['regression leading disruption 2', ['price-call', [None, 95.74, 111.04, None, 108.46, 115.32, 119.28, 106.15], 105, 114.03], 2.84625], ['partial repair probe 1', ['strike-call', [None, 119.28, 84.0], 110, 100.97], 0.0], ['partial repair probe 2', ['strike-call', [None, 114.32, 85.85, 84.03, 87.82, 93.76, 99.3, 80.58], 110, 93.61], 0.0], ['boundary control 1', ['strike-call', [100.0, None, 90.0], 100, 120.0], 23.333333], ['normal control 1', ['price-call', [83.94, None, 90.41, None], 110, 81.54], 0.0], ['normal control 2', ['price-put', [99.0, None, 90.73, None, None, 112.43], 90, 80.77], 0.0], ['normal control 3', ['price-put', [115.63, None, None], 110, 88.42], 0.0]], [['regression leading disruption 1', ['strike-call', [None, None, 103.2, 95.9, 102.92], 90, 119.13], 17.446], ['regression leading disruption 2', ['strike-call', [None, 91.0, 85.59, None, 86.07, None, None], 110, 104.25], 16.908571], ['partial repair probe 1', ['price-call', [None, 100.0, 110.0], 100, 100.0], 3.333333], ['partial repair probe 2', ['strike-call', [None, 110.67, 87.17, None, None, 85.45], 90, 91.16], 0.0], ['boundary control 1', ['strike-call', [100.0, None, 90.0], 100, 120.0], 23.333333], ['normal control 1', ['price-call', [108.9, None, 106.45], 100, 117.18], 8.083333], ['normal control 2', ['strike-call', [93.3, 112.85], 90, 109.53], 6.455], ['normal control 3', ['price-put', [80.04, 94.93, None, 116.64, 87.99, None], 100, 114.94], 6.246667]], [['regression leading disruption 1', ['price-call', [None, 81.2, None, 82.68, 83.48, 83.72, 115.81, 110.77], 90, 93.39], 0.0075], ['regression leading disruption 2', ['strike-call', [None, 81.52, None, None, 94.05], 110, 84.49], 0.464], ['partial repair probe 1', ['price-put', [None, None, 94.96, 105.69, 84.52, None], 90, 83.58], 0.0], ['partial repair probe 2', ['price-call', [None, None, 96.59, None, 80.55, 118.41], 100, 119.18], 0.0], ['boundary control 1', ['strike-call', [100.0, None, 90.0], 100, 120.0], 23.333333], ['normal control 1', ['strike-call', [None, None, 109.7, 99.56, 90.86, 92.96, 99.08, None], 110, 90.22], 0.0], ['normal control 2', ['strike-call', [92.29, 83.29, None, 108.83, None, None, 117.63, 114.49], 110, 88.43], 0.0], ['normal control 3', ['strike-call', [108.57, 82.78, 81.2, 97.9], 100, 107.11], 14.4975]]]
for label, args, expected in fixtures[N-1]:
    check(label, solve(*args), expected)
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
Boundary fixtureActualExpectedOutcome
regression leading disruption 15.4213.733333Failed
regression leading disruption 21.136.13Failed
partial repair probe 13.3333333.333333Passed
partial repair probe 20.00.0Passed
boundary control 123.33333323.333333Passed
normal control 10.00.0Passed
normal control 20.00.0Passed
normal control 30.00.0Passed

SHA-256 / 26866b5b6b2666130940c2fa8e7620434539ebc937c530282158f495c221aef0

2 / The unsuccessful fix

Exit 1
"""Failure Map reference implementation. Python standard library only."""
import json

N = 1
observations = []
def solve(kind, fixings, strike, final):
    vals = list(fixings)
    filled = []
    for i, v in enumerate(vals):
        if v is None:
            prev = [x for x in filled if x is not None]
            later = [x for x in vals[i + 1:] if x is not None]
            v = prev[-1] if prev else later[-1]
        filled.append(v)
    avg = sum(filled) / len(filled)
    if kind == 'price-call':
        pay = max(avg - strike, 0.0)
    elif kind == 'price-put':
        pay = max(strike - avg, 0.0)
    else:
        pay = max(final - avg, 0.0)
    return round(pay, 6)
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['regression leading disruption 1', ['price-call', [None, 114.94, 81.32], 90, 117.66], 13.733333], ['regression leading disruption 2', ['strike-call', [None, 100.0], 110, 106.13], 6.13], ['partial repair probe 1', ['price-call', [None, 100.0, 110.0], 100, 100.0], 3.333333], ['partial repair probe 2', ['price-put', [None, None, None, 116.32, None, 103.45], 110, 84.85], 0.0], ['boundary control 1', ['strike-call', [100.0, None, 90.0], 100, 120.0], 23.333333], ['normal control 1', ['strike-call', [108.09, 82.6, 92.83, None, 118.91, 91.14, None], 100, 85.45], 0.0], ['normal control 2', ['price-call', [85.01, 94.18, 82.1], 105, 116.61], 0.0], ['normal control 3', ['price-call', [100.84, 82.19, 118.59, 115.87, 90.57], 110, 107.03], 0.0]], [['regression leading disruption 1', ['price-call', [None, 91.48, 111.91, 116.49, 84.19, None, 82.85, 115.29], 90, 118.37], 7.235], ['regression leading disruption 2', ['price-put', [None, 108.91, 94.86], 105, 114.49], 0.773333], ['partial repair probe 1', ['price-call', [None, 100.0, 110.0], 100, 100.0], 3.333333], ['partial repair probe 2', ['price-put', [None, None, 108.41, None, None, 89.67], 100, 105.65], 0.0], ['boundary control 1', ['strike-call', [100.0, None, 90.0], 100, 120.0], 23.333333], ['normal control 1', ['strike-call', [119.84, 86.93, 84.4, 83.0, 99.72], 100, 106.94], 12.162], ['normal control 2', ['price-put', [85.42, 115.2, None, 88.06], 110, 85.92], 9.03], ['normal control 3', ['price-call', [None, None, 98.45, 106.81], 105, 119.97], 0.0]], [['regression leading disruption 1', ['price-put', [None, None, 85.09], 100, 101.35], 14.91], ['regression leading disruption 2', ['price-call', [None, 95.74, 111.04, None, 108.46, 115.32, 119.28, 106.15], 105, 114.03], 2.84625], ['partial repair probe 1', ['strike-call', [None, 119.28, 84.0], 110, 100.97], 0.0], ['partial repair probe 2', ['strike-call', [None, 114.32, 85.85, 84.03, 87.82, 93.76, 99.3, 80.58], 110, 93.61], 0.0], ['boundary control 1', ['strike-call', [100.0, None, 90.0], 100, 120.0], 23.333333], ['normal control 1', ['price-call', [83.94, None, 90.41, None], 110, 81.54], 0.0], ['normal control 2', ['price-put', [99.0, None, 90.73, None, None, 112.43], 90, 80.77], 0.0], ['normal control 3', ['price-put', [115.63, None, None], 110, 88.42], 0.0]], [['regression leading disruption 1', ['strike-call', [None, None, 103.2, 95.9, 102.92], 90, 119.13], 17.446], ['regression leading disruption 2', ['strike-call', [None, 91.0, 85.59, None, 86.07, None, None], 110, 104.25], 16.908571], ['partial repair probe 1', ['price-call', [None, 100.0, 110.0], 100, 100.0], 3.333333], ['partial repair probe 2', ['strike-call', [None, 110.67, 87.17, None, None, 85.45], 90, 91.16], 0.0], ['boundary control 1', ['strike-call', [100.0, None, 90.0], 100, 120.0], 23.333333], ['normal control 1', ['price-call', [108.9, None, 106.45], 100, 117.18], 8.083333], ['normal control 2', ['strike-call', [93.3, 112.85], 90, 109.53], 6.455], ['normal control 3', ['price-put', [80.04, 94.93, None, 116.64, 87.99, None], 100, 114.94], 6.246667]], [['regression leading disruption 1', ['price-call', [None, 81.2, None, 82.68, 83.48, 83.72, 115.81, 110.77], 90, 93.39], 0.0075], ['regression leading disruption 2', ['strike-call', [None, 81.52, None, None, 94.05], 110, 84.49], 0.464], ['partial repair probe 1', ['price-put', [None, None, 94.96, 105.69, 84.52, None], 90, 83.58], 0.0], ['partial repair probe 2', ['price-call', [None, None, 96.59, None, 80.55, 118.41], 100, 119.18], 0.0], ['boundary control 1', ['strike-call', [100.0, None, 90.0], 100, 120.0], 23.333333], ['normal control 1', ['strike-call', [None, None, 109.7, 99.56, 90.86, 92.96, 99.08, None], 110, 90.22], 0.0], ['normal control 2', ['strike-call', [92.29, 83.29, None, 108.83, None, None, 117.63, 114.49], 110, 88.43], 0.0], ['normal control 3', ['strike-call', [108.57, 82.78, 81.2, 97.9], 100, 107.11], 14.4975]]]
for label, args, expected in fixtures[N-1]:
    check(label, solve(*args), expected)
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
Boundary fixtureActualExpectedOutcome
regression leading disruption 12.52666713.733333Failed
regression leading disruption 26.136.13Passed
partial repair probe 16.6666673.333333Failed
partial repair probe 22.260.0Failed
boundary control 123.33333323.333333Passed
normal control 10.00.0Passed
normal control 20.00.0Passed
normal control 30.00.0Passed

SHA-256 / e7c6a7fbadc7700fdf351692748cae89202c7467f8970bc41c98dbf49adc1bab

3 / The verified repair

Exit 0
"""Failure Map reference implementation. Python standard library only."""
import json

N = 1
observations = []
def solve(kind, fixings, strike, final):
    vals = list(fixings)
    filled = []
    for i, v in enumerate(vals):
        if v is None:
            prev = [x for x in filled if x is not None]
            later = [x for x in vals[i + 1:] if x is not None]
            v = prev[-1] if prev else later[0]
        filled.append(v)
    avg = sum(filled) / len(filled)
    if kind == 'price-call':
        pay = max(avg - strike, 0.0)
    elif kind == 'price-put':
        pay = max(strike - avg, 0.0)
    else:
        pay = max(final - avg, 0.0)
    return round(pay, 6)
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['regression leading disruption 1', ['price-call', [None, 114.94, 81.32], 90, 117.66], 13.733333], ['regression leading disruption 2', ['strike-call', [None, 100.0], 110, 106.13], 6.13], ['partial repair probe 1', ['price-call', [None, 100.0, 110.0], 100, 100.0], 3.333333], ['partial repair probe 2', ['price-put', [None, None, None, 116.32, None, 103.45], 110, 84.85], 0.0], ['boundary control 1', ['strike-call', [100.0, None, 90.0], 100, 120.0], 23.333333], ['normal control 1', ['strike-call', [108.09, 82.6, 92.83, None, 118.91, 91.14, None], 100, 85.45], 0.0], ['normal control 2', ['price-call', [85.01, 94.18, 82.1], 105, 116.61], 0.0], ['normal control 3', ['price-call', [100.84, 82.19, 118.59, 115.87, 90.57], 110, 107.03], 0.0]], [['regression leading disruption 1', ['price-call', [None, 91.48, 111.91, 116.49, 84.19, None, 82.85, 115.29], 90, 118.37], 7.235], ['regression leading disruption 2', ['price-put', [None, 108.91, 94.86], 105, 114.49], 0.773333], ['partial repair probe 1', ['price-call', [None, 100.0, 110.0], 100, 100.0], 3.333333], ['partial repair probe 2', ['price-put', [None, None, 108.41, None, None, 89.67], 100, 105.65], 0.0], ['boundary control 1', ['strike-call', [100.0, None, 90.0], 100, 120.0], 23.333333], ['normal control 1', ['strike-call', [119.84, 86.93, 84.4, 83.0, 99.72], 100, 106.94], 12.162], ['normal control 2', ['price-put', [85.42, 115.2, None, 88.06], 110, 85.92], 9.03], ['normal control 3', ['price-call', [None, None, 98.45, 106.81], 105, 119.97], 0.0]], [['regression leading disruption 1', ['price-put', [None, None, 85.09], 100, 101.35], 14.91], ['regression leading disruption 2', ['price-call', [None, 95.74, 111.04, None, 108.46, 115.32, 119.28, 106.15], 105, 114.03], 2.84625], ['partial repair probe 1', ['strike-call', [None, 119.28, 84.0], 110, 100.97], 0.0], ['partial repair probe 2', ['strike-call', [None, 114.32, 85.85, 84.03, 87.82, 93.76, 99.3, 80.58], 110, 93.61], 0.0], ['boundary control 1', ['strike-call', [100.0, None, 90.0], 100, 120.0], 23.333333], ['normal control 1', ['price-call', [83.94, None, 90.41, None], 110, 81.54], 0.0], ['normal control 2', ['price-put', [99.0, None, 90.73, None, None, 112.43], 90, 80.77], 0.0], ['normal control 3', ['price-put', [115.63, None, None], 110, 88.42], 0.0]], [['regression leading disruption 1', ['strike-call', [None, None, 103.2, 95.9, 102.92], 90, 119.13], 17.446], ['regression leading disruption 2', ['strike-call', [None, 91.0, 85.59, None, 86.07, None, None], 110, 104.25], 16.908571], ['partial repair probe 1', ['price-call', [None, 100.0, 110.0], 100, 100.0], 3.333333], ['partial repair probe 2', ['strike-call', [None, 110.67, 87.17, None, None, 85.45], 90, 91.16], 0.0], ['boundary control 1', ['strike-call', [100.0, None, 90.0], 100, 120.0], 23.333333], ['normal control 1', ['price-call', [108.9, None, 106.45], 100, 117.18], 8.083333], ['normal control 2', ['strike-call', [93.3, 112.85], 90, 109.53], 6.455], ['normal control 3', ['price-put', [80.04, 94.93, None, 116.64, 87.99, None], 100, 114.94], 6.246667]], [['regression leading disruption 1', ['price-call', [None, 81.2, None, 82.68, 83.48, 83.72, 115.81, 110.77], 90, 93.39], 0.0075], ['regression leading disruption 2', ['strike-call', [None, 81.52, None, None, 94.05], 110, 84.49], 0.464], ['partial repair probe 1', ['price-put', [None, None, 94.96, 105.69, 84.52, None], 90, 83.58], 0.0], ['partial repair probe 2', ['price-call', [None, None, 96.59, None, 80.55, 118.41], 100, 119.18], 0.0], ['boundary control 1', ['strike-call', [100.0, None, 90.0], 100, 120.0], 23.333333], ['normal control 1', ['strike-call', [None, None, 109.7, 99.56, 90.86, 92.96, 99.08, None], 110, 90.22], 0.0], ['normal control 2', ['strike-call', [92.29, 83.29, None, 108.83, None, None, 117.63, 114.49], 110, 88.43], 0.0], ['normal control 3', ['strike-call', [108.57, 82.78, 81.2, 97.9], 100, 107.11], 14.4975]]]
for label, args, expected in fixtures[N-1]:
    check(label, solve(*args), expected)
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
Boundary fixtureActualExpectedOutcome
regression leading disruption 113.73333313.733333Passed
regression leading disruption 26.136.13Passed
partial repair probe 13.3333333.333333Passed
partial repair probe 20.00.0Passed
boundary control 123.33333323.333333Passed
normal control 10.00.0Passed
normal control 20.00.0Passed
normal control 30.00.0Passed

SHA-256 / 463358c5e470ecd6683ccac93c428ec63ae60fc5bbc1c3954ad1141a4fff9db1

Verification & scope

A deterministic toy contract stated explicitly in the contract field; no claim of conformance to any exchange or clearing rulebook. This reproducer isolates one failure mechanism. Results cover the supplied fixtures. Variants within a family share a test contract and should remain grouped when constructing evaluation splits. Related mechanisms with a shared evaluation_group must also remain together; these controlled models are not independent production incidents.

Observations recorded using Python 3.12.14 at 2026-09-29T14:46:55.101289+00:00.

Case digest / c8ada5449f1da788f3b31a9f3c12f17c8830add536fd28a550a99eaac9cd99c2