{ "tool_id": "art-626-deterministic-amortization-schedule", "vectors": [ { "name": "unit_period_12mo_12pct", "policy_parameters": { "principal": 1200, "annual_rate": 0.12, "convention": "UNIT_PERIOD", "periods_per_year": 12, "periods": [ { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": true } ] }, "output_payload": { "convention": "UNIT_PERIOD", "periods_per_year": 12, "schedule": [ { "index": 0, "opening_balance": 1200, "period_fraction": 1, "periodic_rate": 0.01, "interest": 12, "payment": 106.6, "principal_component": 94.6, "closing_balance": 1105.4 }, { "index": 1, "opening_balance": 1105.4, "period_fraction": 1, "periodic_rate": 0.01, "interest": 11.05, "payment": 106.6, "principal_component": 95.55, "closing_balance": 1009.85 }, { "index": 2, "opening_balance": 1009.85, "period_fraction": 1, "periodic_rate": 0.01, "interest": 10.1, "payment": 106.6, "principal_component": 96.5, "closing_balance": 913.35 }, { "index": 3, "opening_balance": 913.35, "period_fraction": 1, "periodic_rate": 0.01, "interest": 9.13, "payment": 106.6, "principal_component": 97.47, "closing_balance": 815.88 }, { "index": 4, "opening_balance": 815.88, "period_fraction": 1, "periodic_rate": 0.01, "interest": 8.16, "payment": 106.6, "principal_component": 98.44, "closing_balance": 717.44 }, { "index": 5, "opening_balance": 717.44, "period_fraction": 1, "periodic_rate": 0.01, "interest": 7.17, "payment": 106.6, "principal_component": 99.43, "closing_balance": 618.01 }, { "index": 6, "opening_balance": 618.01, "period_fraction": 1, "periodic_rate": 0.01, "interest": 6.18, "payment": 106.6, "principal_component": 100.42, "closing_balance": 517.59 }, { "index": 7, "opening_balance": 517.59, "period_fraction": 1, "periodic_rate": 0.01, "interest": 5.18, "payment": 106.6, "principal_component": 101.42, "closing_balance": 416.17 }, { "index": 8, "opening_balance": 416.17, "period_fraction": 1, "periodic_rate": 0.01, "interest": 4.16, "payment": 106.6, "principal_component": 102.44, "closing_balance": 313.73 }, { "index": 9, "opening_balance": 313.73, "period_fraction": 1, "periodic_rate": 0.01, "interest": 3.14, "payment": 106.6, "principal_component": 103.46, "closing_balance": 210.27 }, { "index": 10, "opening_balance": 210.27, "period_fraction": 1, "periodic_rate": 0.01, "interest": 2.1, "payment": 106.6, "principal_component": 104.5, "closing_balance": 105.77 }, { "index": 11, "opening_balance": 105.77, "period_fraction": 1, "periodic_rate": 0.01, "interest": 1.06, "payment": 106.6, "principal_component": 105.77, "closing_balance": 0 } ], "rate_solve": null, "final_plug": { "applied": true, "amount": 0.23, "max_plug": 1, "error": false }, "remeasurement": null, "rounding_steps": [ { "step": "period_fraction (day-count fraction, or declared UNIT_PERIOD fraction)", "mode": "half_up", "precision": 10, "oracle": "declared — clause silent" }, { "step": "periodic_rate = annual_rate * period_fraction (calendar) or (annual_rate/periods_per_year) * period_fraction (UNIT_PERIOD)", "mode": "half_up", "precision": 10, "oracle": "declared — clause silent" }, { "step": "interest = opening_balance * periodic_rate", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "principal_component = payment - interest", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "closing_balance = opening_balance - principal_component", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "final-period plug: residual closing_balance absorbed into the last principal_component so the schedule amortizes to exactly zero", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" } ], "bounds": { "max_periods": 600, "max_segments": 8, "periods_used": 12, "segments_used": 1 }, "day_count_source": "12 CFR 1026 Appendix J (b)(6) — declared unit-period stub fraction, precedent only, not a Reg Z APR claim", "note": "Deterministic amortization schedule via the effective-interest method: period_fraction from a declared day-count convention (UNIT_PERIOD, or one of six ISDA 2006 Definitions Sec 4.16 calendar conventions), periodic_rate derived from annual_rate, interest/principal/closing per period, and a mandatory final-period plug when the schedule amortizes to zero. Remeasurement is schedule SEGMENTATION, never mutation: a new segment always opens at the prior segment's exact closing balance. Bracketed-bisection rate solve is scoped to UNIT_PERIOD only. Demonstrator for the shared _amort.bundle.mjs kernel (ACCT-AMORT-K-1); not itself a wave-specific ASC 842 / ASC 606 / CECL tool." }, "compliance_flags": [], "golden_hash": "ff47527103867628c6a5945e3081f9fb3018ae27c59a2e3786aa1d4eaf314e52" }, { "name": "unit_period_solve_rate", "policy_parameters": { "principal": 1200, "convention": "UNIT_PERIOD", "periods_per_year": 12, "periods": [ { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": true } ], "solve_rate": true }, "output_payload": { "convention": "UNIT_PERIOD", "periods_per_year": 12, "schedule": [ { "index": 0, "opening_balance": 1200, "period_fraction": 1, "periodic_rate": 0.0099724675, "interest": 11.97, "payment": 106.6, "principal_component": 94.63, "closing_balance": 1105.37 }, { "index": 1, "opening_balance": 1105.37, "period_fraction": 1, "periodic_rate": 0.0099724675, "interest": 11.02, "payment": 106.6, "principal_component": 95.58, "closing_balance": 1009.79 }, { "index": 2, "opening_balance": 1009.79, "period_fraction": 1, "periodic_rate": 0.0099724675, "interest": 10.07, "payment": 106.6, "principal_component": 96.53, "closing_balance": 913.26 }, { "index": 3, "opening_balance": 913.26, "period_fraction": 1, "periodic_rate": 0.0099724675, "interest": 9.11, "payment": 106.6, "principal_component": 97.49, "closing_balance": 815.77 }, { "index": 4, "opening_balance": 815.77, "period_fraction": 1, "periodic_rate": 0.0099724675, "interest": 8.14, "payment": 106.6, "principal_component": 98.46, "closing_balance": 717.31 }, { "index": 5, "opening_balance": 717.31, "period_fraction": 1, "periodic_rate": 0.0099724675, "interest": 7.15, "payment": 106.6, "principal_component": 99.45, "closing_balance": 617.86 }, { "index": 6, "opening_balance": 617.86, "period_fraction": 1, "periodic_rate": 0.0099724675, "interest": 6.16, "payment": 106.6, "principal_component": 100.44, "closing_balance": 517.42 }, { "index": 7, "opening_balance": 517.42, "period_fraction": 1, "periodic_rate": 0.0099724675, "interest": 5.16, "payment": 106.6, "principal_component": 101.44, "closing_balance": 415.98 }, { "index": 8, "opening_balance": 415.98, "period_fraction": 1, "periodic_rate": 0.0099724675, "interest": 4.15, "payment": 106.6, "principal_component": 102.45, "closing_balance": 313.53 }, { "index": 9, "opening_balance": 313.53, "period_fraction": 1, "periodic_rate": 0.0099724675, "interest": 3.13, "payment": 106.6, "principal_component": 103.47, "closing_balance": 210.06 }, { "index": 10, "opening_balance": 210.06, "period_fraction": 1, "periodic_rate": 0.0099724675, "interest": 2.09, "payment": 106.6, "principal_component": 104.51, "closing_balance": 105.55 }, { "index": 11, "opening_balance": 105.55, "period_fraction": 1, "periodic_rate": 0.0099724675, "interest": 1.05, "payment": 106.6, "principal_component": 105.55, "closing_balance": 0 } ], "rate_solve": { "solved": true, "periodic_rate": 0.009972467499999998, "annual_rate_equivalent": 0.11966960999999998, "converged": true, "bracketed": true, "iterations": 23, "error": null }, "final_plug": { "applied": false, "amount": 0, "max_plug": 1, "error": false }, "remeasurement": null, "rounding_steps": [ { "step": "period_fraction (day-count fraction, or declared UNIT_PERIOD fraction)", "mode": "half_up", "precision": 10, "oracle": "declared — clause silent" }, { "step": "periodic_rate = annual_rate * period_fraction (calendar) or (annual_rate/periods_per_year) * period_fraction (UNIT_PERIOD)", "mode": "half_up", "precision": 10, "oracle": "declared — clause silent" }, { "step": "interest = opening_balance * periodic_rate", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "principal_component = payment - interest", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "closing_balance = opening_balance - principal_component", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "final-period plug: residual closing_balance absorbed into the last principal_component so the schedule amortizes to exactly zero", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" } ], "bounds": { "max_periods": 600, "max_segments": 8, "periods_used": 12, "segments_used": 1 }, "day_count_source": "12 CFR 1026 Appendix J (b)(6) — declared unit-period stub fraction, precedent only, not a Reg Z APR claim", "note": "Deterministic amortization schedule via the effective-interest method: period_fraction from a declared day-count convention (UNIT_PERIOD, or one of six ISDA 2006 Definitions Sec 4.16 calendar conventions), periodic_rate derived from annual_rate, interest/principal/closing per period, and a mandatory final-period plug when the schedule amortizes to zero. Remeasurement is schedule SEGMENTATION, never mutation: a new segment always opens at the prior segment's exact closing balance. Bracketed-bisection rate solve is scoped to UNIT_PERIOD only. Demonstrator for the shared _amort.bundle.mjs kernel (ACCT-AMORT-K-1); not itself a wave-specific ASC 842 / ASC 606 / CECL tool." }, "compliance_flags": [], "golden_hash": "083ba630d2e7fa449aa7a4648cf5566d9d2149f5c8f93ed063e455813583bdf9" }, { "name": "30_360_us_12mo", "policy_parameters": { "principal": 1200, "annual_rate": 0.12, "convention": "30_360_US", "periods": [ { "start": "2025-01-01", "end": "2025-02-01", "payment": 106.6, "is_termination": false }, { "start": "2025-02-01", "end": "2025-03-01", "payment": 106.6, "is_termination": false }, { "start": "2025-03-01", "end": "2025-04-01", "payment": 106.6, "is_termination": false }, { "start": "2025-04-01", "end": "2025-05-01", "payment": 106.6, "is_termination": false }, { "start": "2025-05-01", "end": "2025-06-01", "payment": 106.6, "is_termination": false }, { "start": "2025-06-01", "end": "2025-07-01", "payment": 106.6, "is_termination": false }, { "start": "2025-07-01", "end": "2025-08-01", "payment": 106.6, "is_termination": false }, { "start": "2025-08-01", "end": "2025-09-01", "payment": 106.6, "is_termination": false }, { "start": "2025-09-01", "end": "2025-10-01", "payment": 106.6, "is_termination": false }, { "start": "2025-10-01", "end": "2025-11-01", "payment": 106.6, "is_termination": false }, { "start": "2025-11-01", "end": "2025-12-01", "payment": 106.6, "is_termination": false }, { "start": "2025-12-01", "end": "2026-01-01", "payment": 106.6, "is_termination": true } ] }, "output_payload": { "convention": "30_360_US", "periods_per_year": 12, "schedule": [ { "index": 0, "opening_balance": 1200, "period_fraction": 0.0833333333, "periodic_rate": 0.01, "interest": 12, "payment": 106.6, "principal_component": 94.6, "closing_balance": 1105.4 }, { "index": 1, "opening_balance": 1105.4, "period_fraction": 0.0833333333, "periodic_rate": 0.01, "interest": 11.05, "payment": 106.6, "principal_component": 95.55, "closing_balance": 1009.85 }, { "index": 2, "opening_balance": 1009.85, "period_fraction": 0.0833333333, "periodic_rate": 0.01, "interest": 10.1, "payment": 106.6, "principal_component": 96.5, "closing_balance": 913.35 }, { "index": 3, "opening_balance": 913.35, "period_fraction": 0.0833333333, "periodic_rate": 0.01, "interest": 9.13, "payment": 106.6, "principal_component": 97.47, "closing_balance": 815.88 }, { "index": 4, "opening_balance": 815.88, "period_fraction": 0.0833333333, "periodic_rate": 0.01, "interest": 8.16, "payment": 106.6, "principal_component": 98.44, "closing_balance": 717.44 }, { "index": 5, "opening_balance": 717.44, "period_fraction": 0.0833333333, "periodic_rate": 0.01, "interest": 7.17, "payment": 106.6, "principal_component": 99.43, "closing_balance": 618.01 }, { "index": 6, "opening_balance": 618.01, "period_fraction": 0.0833333333, "periodic_rate": 0.01, "interest": 6.18, "payment": 106.6, "principal_component": 100.42, "closing_balance": 517.59 }, { "index": 7, "opening_balance": 517.59, "period_fraction": 0.0833333333, "periodic_rate": 0.01, "interest": 5.18, "payment": 106.6, "principal_component": 101.42, "closing_balance": 416.17 }, { "index": 8, "opening_balance": 416.17, "period_fraction": 0.0833333333, "periodic_rate": 0.01, "interest": 4.16, "payment": 106.6, "principal_component": 102.44, "closing_balance": 313.73 }, { "index": 9, "opening_balance": 313.73, "period_fraction": 0.0833333333, "periodic_rate": 0.01, "interest": 3.14, "payment": 106.6, "principal_component": 103.46, "closing_balance": 210.27 }, { "index": 10, "opening_balance": 210.27, "period_fraction": 0.0833333333, "periodic_rate": 0.01, "interest": 2.1, "payment": 106.6, "principal_component": 104.5, "closing_balance": 105.77 }, { "index": 11, "opening_balance": 105.77, "period_fraction": 0.0833333333, "periodic_rate": 0.01, "interest": 1.06, "payment": 106.6, "principal_component": 105.77, "closing_balance": 0 } ], "rate_solve": null, "final_plug": { "applied": true, "amount": 0.23, "max_plug": 1, "error": false }, "remeasurement": null, "rounding_steps": [ { "step": "period_fraction (day-count fraction, or declared UNIT_PERIOD fraction)", "mode": "half_up", "precision": 10, "oracle": "declared — clause silent" }, { "step": "periodic_rate = annual_rate * period_fraction (calendar) or (annual_rate/periods_per_year) * period_fraction (UNIT_PERIOD)", "mode": "half_up", "precision": 10, "oracle": "declared — clause silent" }, { "step": "interest = opening_balance * periodic_rate", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "principal_component = payment - interest", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "closing_balance = opening_balance - principal_component", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "final-period plug: residual closing_balance absorbed into the last principal_component so the schedule amortizes to exactly zero", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" } ], "bounds": { "max_periods": 600, "max_segments": 8, "periods_used": 12, "segments_used": 1 }, "day_count_source": "ISDA 2006 Definitions Section 4.16", "note": "Deterministic amortization schedule via the effective-interest method: period_fraction from a declared day-count convention (UNIT_PERIOD, or one of six ISDA 2006 Definitions Sec 4.16 calendar conventions), periodic_rate derived from annual_rate, interest/principal/closing per period, and a mandatory final-period plug when the schedule amortizes to zero. Remeasurement is schedule SEGMENTATION, never mutation: a new segment always opens at the prior segment's exact closing balance. Bracketed-bisection rate solve is scoped to UNIT_PERIOD only. Demonstrator for the shared _amort.bundle.mjs kernel (ACCT-AMORT-K-1); not itself a wave-specific ASC 842 / ASC 606 / CECL tool." }, "compliance_flags": [], "golden_hash": "410620ec7daef604e907367ff1991fe73107cb159e661c9dd49a2cc7c736562f" }, { "name": "30e_360_jan31_feb29_leap", "policy_parameters": { "principal": 1000, "annual_rate": 0.06, "convention": "30E_360", "periods": [ { "start": "2024-01-31", "end": "2024-02-29", "payment": 1000, "is_termination": true } ] }, "output_payload": { "convention": "30E_360", "periods_per_year": 12, "schedule": [ { "index": 0, "opening_balance": 1000, "period_fraction": 0.0805555556, "periodic_rate": 0.0048333333, "interest": 4.83, "payment": 1000, "principal_component": 995.17, "closing_balance": 4.83 } ], "rate_solve": null, "final_plug": { "applied": false, "amount": 4.83, "max_plug": 1, "error": true }, "remeasurement": null, "rounding_steps": [ { "step": "period_fraction (day-count fraction, or declared UNIT_PERIOD fraction)", "mode": "half_up", "precision": 10, "oracle": "declared — clause silent" }, { "step": "periodic_rate = annual_rate * period_fraction (calendar) or (annual_rate/periods_per_year) * period_fraction (UNIT_PERIOD)", "mode": "half_up", "precision": 10, "oracle": "declared — clause silent" }, { "step": "interest = opening_balance * periodic_rate", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "principal_component = payment - interest", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "closing_balance = opening_balance - principal_component", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "final-period plug: residual closing_balance absorbed into the last principal_component so the schedule amortizes to exactly zero", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" } ], "bounds": { "max_periods": 600, "max_segments": 8, "periods_used": 1, "segments_used": 1 }, "day_count_source": "ISDA 2006 Definitions Section 4.16", "note": "Deterministic amortization schedule via the effective-interest method: period_fraction from a declared day-count convention (UNIT_PERIOD, or one of six ISDA 2006 Definitions Sec 4.16 calendar conventions), periodic_rate derived from annual_rate, interest/principal/closing per period, and a mandatory final-period plug when the schedule amortizes to zero. Remeasurement is schedule SEGMENTATION, never mutation: a new segment always opens at the prior segment's exact closing balance. Bracketed-bisection rate solve is scoped to UNIT_PERIOD only. Demonstrator for the shared _amort.bundle.mjs kernel (ACCT-AMORT-K-1); not itself a wave-specific ASC 842 / ASC 606 / CECL tool." }, "compliance_flags": [ "FINAL_PLUG_EXCEEDS_BOUND" ], "golden_hash": "fbc16ac990ea8ed50bd75e157378f5bf0fe7414be42e79dd6dd11243d1d7ef29" }, { "name": "30e_360_isda_jan31_feb29_nonterm", "policy_parameters": { "principal": 1000, "annual_rate": 0.06, "convention": "30E_360_ISDA", "periods": [ { "start": "2024-01-31", "end": "2024-02-29", "payment": 1000, "is_termination": false } ] }, "output_payload": { "convention": "30E_360_ISDA", "periods_per_year": 12, "schedule": [ { "index": 0, "opening_balance": 1000, "period_fraction": 0.0833333333, "periodic_rate": 0.005, "interest": 5, "payment": 1000, "principal_component": 995, "closing_balance": 5 } ], "rate_solve": null, "final_plug": { "applied": false, "amount": 5, "max_plug": 1, "error": true }, "remeasurement": null, "rounding_steps": [ { "step": "period_fraction (day-count fraction, or declared UNIT_PERIOD fraction)", "mode": "half_up", "precision": 10, "oracle": "declared — clause silent" }, { "step": "periodic_rate = annual_rate * period_fraction (calendar) or (annual_rate/periods_per_year) * period_fraction (UNIT_PERIOD)", "mode": "half_up", "precision": 10, "oracle": "declared — clause silent" }, { "step": "interest = opening_balance * periodic_rate", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "principal_component = payment - interest", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "closing_balance = opening_balance - principal_component", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "final-period plug: residual closing_balance absorbed into the last principal_component so the schedule amortizes to exactly zero", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" } ], "bounds": { "max_periods": 600, "max_segments": 8, "periods_used": 1, "segments_used": 1 }, "day_count_source": "ISDA 2006 Definitions Section 4.16", "note": "Deterministic amortization schedule via the effective-interest method: period_fraction from a declared day-count convention (UNIT_PERIOD, or one of six ISDA 2006 Definitions Sec 4.16 calendar conventions), periodic_rate derived from annual_rate, interest/principal/closing per period, and a mandatory final-period plug when the schedule amortizes to zero. Remeasurement is schedule SEGMENTATION, never mutation: a new segment always opens at the prior segment's exact closing balance. Bracketed-bisection rate solve is scoped to UNIT_PERIOD only. Demonstrator for the shared _amort.bundle.mjs kernel (ACCT-AMORT-K-1); not itself a wave-specific ASC 842 / ASC 606 / CECL tool." }, "compliance_flags": [ "FINAL_PLUG_EXCEEDS_BOUND" ], "golden_hash": "f6cc61183f24fea769b7b7f344d936067b9f23295140e208b1f1f5509dcddf84" }, { "name": "30e_360_isda_jan31_feb29_term", "policy_parameters": { "principal": 1000, "annual_rate": 0.06, "convention": "30E_360_ISDA", "periods": [ { "start": "2024-01-31", "end": "2024-02-29", "payment": 1000, "is_termination": true } ] }, "output_payload": { "convention": "30E_360_ISDA", "periods_per_year": 12, "schedule": [ { "index": 0, "opening_balance": 1000, "period_fraction": 0.0805555556, "periodic_rate": 0.0048333333, "interest": 4.83, "payment": 1000, "principal_component": 995.17, "closing_balance": 4.83 } ], "rate_solve": null, "final_plug": { "applied": false, "amount": 4.83, "max_plug": 1, "error": true }, "remeasurement": null, "rounding_steps": [ { "step": "period_fraction (day-count fraction, or declared UNIT_PERIOD fraction)", "mode": "half_up", "precision": 10, "oracle": "declared — clause silent" }, { "step": "periodic_rate = annual_rate * period_fraction (calendar) or (annual_rate/periods_per_year) * period_fraction (UNIT_PERIOD)", "mode": "half_up", "precision": 10, "oracle": "declared — clause silent" }, { "step": "interest = opening_balance * periodic_rate", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "principal_component = payment - interest", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "closing_balance = opening_balance - principal_component", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "final-period plug: residual closing_balance absorbed into the last principal_component so the schedule amortizes to exactly zero", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" } ], "bounds": { "max_periods": 600, "max_segments": 8, "periods_used": 1, "segments_used": 1 }, "day_count_source": "ISDA 2006 Definitions Section 4.16", "note": "Deterministic amortization schedule via the effective-interest method: period_fraction from a declared day-count convention (UNIT_PERIOD, or one of six ISDA 2006 Definitions Sec 4.16 calendar conventions), periodic_rate derived from annual_rate, interest/principal/closing per period, and a mandatory final-period plug when the schedule amortizes to zero. Remeasurement is schedule SEGMENTATION, never mutation: a new segment always opens at the prior segment's exact closing balance. Bracketed-bisection rate solve is scoped to UNIT_PERIOD only. Demonstrator for the shared _amort.bundle.mjs kernel (ACCT-AMORT-K-1); not itself a wave-specific ASC 842 / ASC 606 / CECL tool." }, "compliance_flags": [ "FINAL_PLUG_EXCEEDS_BOUND" ], "golden_hash": "89193ea829dd08581e7d4ba7f8f44203bb6b5208d5ac0357489eb65b2c625e05" }, { "name": "act_360_jan_2024", "policy_parameters": { "principal": 1000, "annual_rate": 0.06, "convention": "ACT_360", "periods": [ { "start": "2024-01-01", "end": "2024-02-01", "payment": 1000, "is_termination": true } ] }, "output_payload": { "convention": "ACT_360", "periods_per_year": 12, "schedule": [ { "index": 0, "opening_balance": 1000, "period_fraction": 0.0861111111, "periodic_rate": 0.0051666667, "interest": 5.17, "payment": 1000, "principal_component": 994.83, "closing_balance": 5.17 } ], "rate_solve": null, "final_plug": { "applied": false, "amount": 5.17, "max_plug": 1, "error": true }, "remeasurement": null, "rounding_steps": [ { "step": "period_fraction (day-count fraction, or declared UNIT_PERIOD fraction)", "mode": "half_up", "precision": 10, "oracle": "declared — clause silent" }, { "step": "periodic_rate = annual_rate * period_fraction (calendar) or (annual_rate/periods_per_year) * period_fraction (UNIT_PERIOD)", "mode": "half_up", "precision": 10, "oracle": "declared — clause silent" }, { "step": "interest = opening_balance * periodic_rate", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "principal_component = payment - interest", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "closing_balance = opening_balance - principal_component", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "final-period plug: residual closing_balance absorbed into the last principal_component so the schedule amortizes to exactly zero", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" } ], "bounds": { "max_periods": 600, "max_segments": 8, "periods_used": 1, "segments_used": 1 }, "day_count_source": "ISDA 2006 Definitions Section 4.16", "note": "Deterministic amortization schedule via the effective-interest method: period_fraction from a declared day-count convention (UNIT_PERIOD, or one of six ISDA 2006 Definitions Sec 4.16 calendar conventions), periodic_rate derived from annual_rate, interest/principal/closing per period, and a mandatory final-period plug when the schedule amortizes to zero. Remeasurement is schedule SEGMENTATION, never mutation: a new segment always opens at the prior segment's exact closing balance. Bracketed-bisection rate solve is scoped to UNIT_PERIOD only. Demonstrator for the shared _amort.bundle.mjs kernel (ACCT-AMORT-K-1); not itself a wave-specific ASC 842 / ASC 606 / CECL tool." }, "compliance_flags": [ "FINAL_PLUG_EXCEEDS_BOUND" ], "golden_hash": "1b33d79c3cb159508ba702788ecae6b6dda999c53f3b752fa86406b5327b8978" }, { "name": "act_365f_2023", "policy_parameters": { "principal": 1000, "annual_rate": 0.06, "convention": "ACT_365F", "periods": [ { "start": "2023-01-01", "end": "2024-01-01", "payment": 1000, "is_termination": true } ] }, "output_payload": { "convention": "ACT_365F", "periods_per_year": 12, "schedule": [ { "index": 0, "opening_balance": 1000, "period_fraction": 1, "periodic_rate": 0.06, "interest": 60, "payment": 1000, "principal_component": 940, "closing_balance": 60 } ], "rate_solve": null, "final_plug": { "applied": false, "amount": 60, "max_plug": 1, "error": true }, "remeasurement": null, "rounding_steps": [ { "step": "period_fraction (day-count fraction, or declared UNIT_PERIOD fraction)", "mode": "half_up", "precision": 10, "oracle": "declared — clause silent" }, { "step": "periodic_rate = annual_rate * period_fraction (calendar) or (annual_rate/periods_per_year) * period_fraction (UNIT_PERIOD)", "mode": "half_up", "precision": 10, "oracle": "declared — clause silent" }, { "step": "interest = opening_balance * periodic_rate", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "principal_component = payment - interest", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "closing_balance = opening_balance - principal_component", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "final-period plug: residual closing_balance absorbed into the last principal_component so the schedule amortizes to exactly zero", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" } ], "bounds": { "max_periods": 600, "max_segments": 8, "periods_used": 1, "segments_used": 1 }, "day_count_source": "ISDA 2006 Definitions Section 4.16", "note": "Deterministic amortization schedule via the effective-interest method: period_fraction from a declared day-count convention (UNIT_PERIOD, or one of six ISDA 2006 Definitions Sec 4.16 calendar conventions), periodic_rate derived from annual_rate, interest/principal/closing per period, and a mandatory final-period plug when the schedule amortizes to zero. Remeasurement is schedule SEGMENTATION, never mutation: a new segment always opens at the prior segment's exact closing balance. Bracketed-bisection rate solve is scoped to UNIT_PERIOD only. Demonstrator for the shared _amort.bundle.mjs kernel (ACCT-AMORT-K-1); not itself a wave-specific ASC 842 / ASC 606 / CECL tool." }, "compliance_flags": [ "FINAL_PLUG_EXCEEDS_BOUND" ], "golden_hash": "31dc28b2c87c6c2125e7025f32fc6f68ae043c52d9154da7294919f735ad98ef" }, { "name": "act_act_isda_leap_span", "policy_parameters": { "principal": 1000, "annual_rate": 0.06, "convention": "ACT_ACT_ISDA", "periods": [ { "start": "2023-07-01", "end": "2024-07-01", "payment": 1000, "is_termination": true } ] }, "output_payload": { "convention": "ACT_ACT_ISDA", "periods_per_year": 12, "schedule": [ { "index": 0, "opening_balance": 1000, "period_fraction": 1.0013773486, "periodic_rate": 0.0600826409, "interest": 60.08, "payment": 1000, "principal_component": 939.92, "closing_balance": 60.08 } ], "rate_solve": null, "final_plug": { "applied": false, "amount": 60.08, "max_plug": 1, "error": true }, "remeasurement": null, "rounding_steps": [ { "step": "period_fraction (day-count fraction, or declared UNIT_PERIOD fraction)", "mode": "half_up", "precision": 10, "oracle": "declared — clause silent" }, { "step": "periodic_rate = annual_rate * period_fraction (calendar) or (annual_rate/periods_per_year) * period_fraction (UNIT_PERIOD)", "mode": "half_up", "precision": 10, "oracle": "declared — clause silent" }, { "step": "interest = opening_balance * periodic_rate", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "principal_component = payment - interest", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "closing_balance = opening_balance - principal_component", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "final-period plug: residual closing_balance absorbed into the last principal_component so the schedule amortizes to exactly zero", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" } ], "bounds": { "max_periods": 600, "max_segments": 8, "periods_used": 1, "segments_used": 1 }, "day_count_source": "ISDA 2006 Definitions Section 4.16", "note": "Deterministic amortization schedule via the effective-interest method: period_fraction from a declared day-count convention (UNIT_PERIOD, or one of six ISDA 2006 Definitions Sec 4.16 calendar conventions), periodic_rate derived from annual_rate, interest/principal/closing per period, and a mandatory final-period plug when the schedule amortizes to zero. Remeasurement is schedule SEGMENTATION, never mutation: a new segment always opens at the prior segment's exact closing balance. Bracketed-bisection rate solve is scoped to UNIT_PERIOD only. Demonstrator for the shared _amort.bundle.mjs kernel (ACCT-AMORT-K-1); not itself a wave-specific ASC 842 / ASC 606 / CECL tool." }, "compliance_flags": [ "FINAL_PLUG_EXCEEDS_BOUND" ], "golden_hash": "d8a5402c632316e2015a8d6f6e2e6eb91f923b09713e098f0ca93f30cec7a697" }, { "name": "act_act_isda_within_leap", "policy_parameters": { "principal": 1000, "annual_rate": 0.06, "convention": "ACT_ACT_ISDA", "periods": [ { "start": "2024-01-01", "end": "2025-01-01", "payment": 1000, "is_termination": true } ] }, "output_payload": { "convention": "ACT_ACT_ISDA", "periods_per_year": 12, "schedule": [ { "index": 0, "opening_balance": 1000, "period_fraction": 1, "periodic_rate": 0.06, "interest": 60, "payment": 1000, "principal_component": 940, "closing_balance": 60 } ], "rate_solve": null, "final_plug": { "applied": false, "amount": 60, "max_plug": 1, "error": true }, "remeasurement": null, "rounding_steps": [ { "step": "period_fraction (day-count fraction, or declared UNIT_PERIOD fraction)", "mode": "half_up", "precision": 10, "oracle": "declared — clause silent" }, { "step": "periodic_rate = annual_rate * period_fraction (calendar) or (annual_rate/periods_per_year) * period_fraction (UNIT_PERIOD)", "mode": "half_up", "precision": 10, "oracle": "declared — clause silent" }, { "step": "interest = opening_balance * periodic_rate", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "principal_component = payment - interest", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "closing_balance = opening_balance - principal_component", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "final-period plug: residual closing_balance absorbed into the last principal_component so the schedule amortizes to exactly zero", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" } ], "bounds": { "max_periods": 600, "max_segments": 8, "periods_used": 1, "segments_used": 1 }, "day_count_source": "ISDA 2006 Definitions Section 4.16", "note": "Deterministic amortization schedule via the effective-interest method: period_fraction from a declared day-count convention (UNIT_PERIOD, or one of six ISDA 2006 Definitions Sec 4.16 calendar conventions), periodic_rate derived from annual_rate, interest/principal/closing per period, and a mandatory final-period plug when the schedule amortizes to zero. Remeasurement is schedule SEGMENTATION, never mutation: a new segment always opens at the prior segment's exact closing balance. Bracketed-bisection rate solve is scoped to UNIT_PERIOD only. Demonstrator for the shared _amort.bundle.mjs kernel (ACCT-AMORT-K-1); not itself a wave-specific ASC 842 / ASC 606 / CECL tool." }, "compliance_flags": [ "FINAL_PLUG_EXCEEDS_BOUND" ], "golden_hash": "2a774707f332f64bacffa7cb3375170d542d46ce02c677a5b68fdf95c435dfb6" }, { "name": "30_360_us_endofmonth_coupling", "policy_parameters": { "principal": 1000, "annual_rate": 0.06, "convention": "30_360_US", "periods": [ { "start": "2024-01-31", "end": "2024-03-31", "payment": 1000, "is_termination": true } ] }, "output_payload": { "convention": "30_360_US", "periods_per_year": 12, "schedule": [ { "index": 0, "opening_balance": 1000, "period_fraction": 0.1666666667, "periodic_rate": 0.01, "interest": 10, "payment": 1000, "principal_component": 990, "closing_balance": 10 } ], "rate_solve": null, "final_plug": { "applied": false, "amount": 10, "max_plug": 1, "error": true }, "remeasurement": null, "rounding_steps": [ { "step": "period_fraction (day-count fraction, or declared UNIT_PERIOD fraction)", "mode": "half_up", "precision": 10, "oracle": "declared — clause silent" }, { "step": "periodic_rate = annual_rate * period_fraction (calendar) or (annual_rate/periods_per_year) * period_fraction (UNIT_PERIOD)", "mode": "half_up", "precision": 10, "oracle": "declared — clause silent" }, { "step": "interest = opening_balance * periodic_rate", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "principal_component = payment - interest", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "closing_balance = opening_balance - principal_component", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "final-period plug: residual closing_balance absorbed into the last principal_component so the schedule amortizes to exactly zero", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" } ], "bounds": { "max_periods": 600, "max_segments": 8, "periods_used": 1, "segments_used": 1 }, "day_count_source": "ISDA 2006 Definitions Section 4.16", "note": "Deterministic amortization schedule via the effective-interest method: period_fraction from a declared day-count convention (UNIT_PERIOD, or one of six ISDA 2006 Definitions Sec 4.16 calendar conventions), periodic_rate derived from annual_rate, interest/principal/closing per period, and a mandatory final-period plug when the schedule amortizes to zero. Remeasurement is schedule SEGMENTATION, never mutation: a new segment always opens at the prior segment's exact closing balance. Bracketed-bisection rate solve is scoped to UNIT_PERIOD only. Demonstrator for the shared _amort.bundle.mjs kernel (ACCT-AMORT-K-1); not itself a wave-specific ASC 842 / ASC 606 / CECL tool." }, "compliance_flags": [ "FINAL_PLUG_EXCEEDS_BOUND" ], "golden_hash": "d874d2eaf7df4de348fc0873c1ff75879e3205de3032fcd65c0e2e85eaec59b1" }, { "name": "unit_period_remeasured", "policy_parameters": { "principal": 1200, "annual_rate": 0.12, "convention": "UNIT_PERIOD", "periods_per_year": 12, "periods": [ { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": true } ], "remeasurement": { "at_period_index": 5, "annual_rate": 0.1, "periods": [ { "unit_fraction": 1, "payment": 90, "is_termination": false }, { "unit_fraction": 1, "payment": 90, "is_termination": false }, { "unit_fraction": 1, "payment": 90, "is_termination": false }, { "unit_fraction": 1, "payment": 90, "is_termination": false }, { "unit_fraction": 1, "payment": 90, "is_termination": false }, { "unit_fraction": 1, "payment": 90, "is_termination": true } ] } }, "output_payload": { "convention": "UNIT_PERIOD", "periods_per_year": 12, "schedule": [ { "index": 0, "opening_balance": 1200, "period_fraction": 1, "periodic_rate": 0.01, "interest": 12, "payment": 106.6, "principal_component": 94.6, "closing_balance": 1105.4 }, { "index": 1, "opening_balance": 1105.4, "period_fraction": 1, "periodic_rate": 0.01, "interest": 11.05, "payment": 106.6, "principal_component": 95.55, "closing_balance": 1009.85 }, { "index": 2, "opening_balance": 1009.85, "period_fraction": 1, "periodic_rate": 0.01, "interest": 10.1, "payment": 106.6, "principal_component": 96.5, "closing_balance": 913.35 }, { "index": 3, "opening_balance": 913.35, "period_fraction": 1, "periodic_rate": 0.01, "interest": 9.13, "payment": 106.6, "principal_component": 97.47, "closing_balance": 815.88 }, { "index": 4, "opening_balance": 815.88, "period_fraction": 1, "periodic_rate": 0.01, "interest": 8.16, "payment": 106.6, "principal_component": 98.44, "closing_balance": 717.44 }, { "index": 5, "opening_balance": 717.44, "period_fraction": 1, "periodic_rate": 0.01, "interest": 7.17, "payment": 106.6, "principal_component": 99.43, "closing_balance": 618.01 }, { "index": 6, "opening_balance": 618.01, "period_fraction": 1, "periodic_rate": 0.01, "interest": 6.18, "payment": 106.6, "principal_component": 100.42, "closing_balance": 517.59 }, { "index": 7, "opening_balance": 517.59, "period_fraction": 1, "periodic_rate": 0.01, "interest": 5.18, "payment": 106.6, "principal_component": 101.42, "closing_balance": 416.17 }, { "index": 8, "opening_balance": 416.17, "period_fraction": 1, "periodic_rate": 0.01, "interest": 4.16, "payment": 106.6, "principal_component": 102.44, "closing_balance": 313.73 }, { "index": 9, "opening_balance": 313.73, "period_fraction": 1, "periodic_rate": 0.01, "interest": 3.14, "payment": 106.6, "principal_component": 103.46, "closing_balance": 210.27 }, { "index": 10, "opening_balance": 210.27, "period_fraction": 1, "periodic_rate": 0.01, "interest": 2.1, "payment": 106.6, "principal_component": 104.5, "closing_balance": 105.77 }, { "index": 11, "opening_balance": 105.77, "period_fraction": 1, "periodic_rate": 0.01, "interest": 1.06, "payment": 106.6, "principal_component": 105.77, "closing_balance": 0 } ], "rate_solve": null, "final_plug": { "applied": true, "amount": 0.23, "max_plug": 1, "error": false }, "remeasurement": { "opening_balance": 618.01, "continuity_invariant": true, "new_segment": [ { "index": 0, "opening_balance": 618.01, "period_fraction": 1, "periodic_rate": 0.0083333333, "interest": 5.15, "payment": 90, "principal_component": 84.85, "closing_balance": 533.16 }, { "index": 1, "opening_balance": 533.16, "period_fraction": 1, "periodic_rate": 0.0083333333, "interest": 4.44, "payment": 90, "principal_component": 85.56, "closing_balance": 447.6 }, { "index": 2, "opening_balance": 447.6, "period_fraction": 1, "periodic_rate": 0.0083333333, "interest": 3.73, "payment": 90, "principal_component": 86.27, "closing_balance": 361.33 }, { "index": 3, "opening_balance": 361.33, "period_fraction": 1, "periodic_rate": 0.0083333333, "interest": 3.01, "payment": 90, "principal_component": 86.99, "closing_balance": 274.34 }, { "index": 4, "opening_balance": 274.34, "period_fraction": 1, "periodic_rate": 0.0083333333, "interest": 2.29, "payment": 90, "principal_component": 87.71, "closing_balance": 186.63 }, { "index": 5, "opening_balance": 186.63, "period_fraction": 1, "periodic_rate": 0.0083333333, "interest": 1.56, "payment": 90, "principal_component": 88.44, "closing_balance": 98.19 } ], "final_plug": { "applied": false, "amount": 98.19, "max_plug": 1, "error": true } }, "rounding_steps": [ { "step": "period_fraction (day-count fraction, or declared UNIT_PERIOD fraction)", "mode": "half_up", "precision": 10, "oracle": "declared — clause silent" }, { "step": "periodic_rate = annual_rate * period_fraction (calendar) or (annual_rate/periods_per_year) * period_fraction (UNIT_PERIOD)", "mode": "half_up", "precision": 10, "oracle": "declared — clause silent" }, { "step": "interest = opening_balance * periodic_rate", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "principal_component = payment - interest", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "closing_balance = opening_balance - principal_component", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "final-period plug: residual closing_balance absorbed into the last principal_component so the schedule amortizes to exactly zero", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" } ], "bounds": { "max_periods": 600, "max_segments": 8, "periods_used": 12, "segments_used": 2 }, "day_count_source": "12 CFR 1026 Appendix J (b)(6) — declared unit-period stub fraction, precedent only, not a Reg Z APR claim", "note": "Deterministic amortization schedule via the effective-interest method: period_fraction from a declared day-count convention (UNIT_PERIOD, or one of six ISDA 2006 Definitions Sec 4.16 calendar conventions), periodic_rate derived from annual_rate, interest/principal/closing per period, and a mandatory final-period plug when the schedule amortizes to zero. Remeasurement is schedule SEGMENTATION, never mutation: a new segment always opens at the prior segment's exact closing balance. Bracketed-bisection rate solve is scoped to UNIT_PERIOD only. Demonstrator for the shared _amort.bundle.mjs kernel (ACCT-AMORT-K-1); not itself a wave-specific ASC 842 / ASC 606 / CECL tool." }, "compliance_flags": [ "FINAL_PLUG_EXCEEDS_BOUND" ], "golden_hash": "bbb2531ef0ed07b71c9c615dfe7311f8019fd66e339020354793ffeed355f97a" }, { "name": "final_plug_within_bound", "policy_parameters": { "principal": 1200, "annual_rate": 0.12, "convention": "UNIT_PERIOD", "periods_per_year": 12, "periods": [ { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": true } ], "max_plug": 1 }, "output_payload": { "convention": "UNIT_PERIOD", "periods_per_year": 12, "schedule": [ { "index": 0, "opening_balance": 1200, "period_fraction": 1, "periodic_rate": 0.01, "interest": 12, "payment": 106.6, "principal_component": 94.6, "closing_balance": 1105.4 }, { "index": 1, "opening_balance": 1105.4, "period_fraction": 1, "periodic_rate": 0.01, "interest": 11.05, "payment": 106.6, "principal_component": 95.55, "closing_balance": 1009.85 }, { "index": 2, "opening_balance": 1009.85, "period_fraction": 1, "periodic_rate": 0.01, "interest": 10.1, "payment": 106.6, "principal_component": 96.5, "closing_balance": 913.35 }, { "index": 3, "opening_balance": 913.35, "period_fraction": 1, "periodic_rate": 0.01, "interest": 9.13, "payment": 106.6, "principal_component": 97.47, "closing_balance": 815.88 }, { "index": 4, "opening_balance": 815.88, "period_fraction": 1, "periodic_rate": 0.01, "interest": 8.16, "payment": 106.6, "principal_component": 98.44, "closing_balance": 717.44 }, { "index": 5, "opening_balance": 717.44, "period_fraction": 1, "periodic_rate": 0.01, "interest": 7.17, "payment": 106.6, "principal_component": 99.43, "closing_balance": 618.01 }, { "index": 6, "opening_balance": 618.01, "period_fraction": 1, "periodic_rate": 0.01, "interest": 6.18, "payment": 106.6, "principal_component": 100.42, "closing_balance": 517.59 }, { "index": 7, "opening_balance": 517.59, "period_fraction": 1, "periodic_rate": 0.01, "interest": 5.18, "payment": 106.6, "principal_component": 101.42, "closing_balance": 416.17 }, { "index": 8, "opening_balance": 416.17, "period_fraction": 1, "periodic_rate": 0.01, "interest": 4.16, "payment": 106.6, "principal_component": 102.44, "closing_balance": 313.73 }, { "index": 9, "opening_balance": 313.73, "period_fraction": 1, "periodic_rate": 0.01, "interest": 3.14, "payment": 106.6, "principal_component": 103.46, "closing_balance": 210.27 }, { "index": 10, "opening_balance": 210.27, "period_fraction": 1, "periodic_rate": 0.01, "interest": 2.1, "payment": 106.6, "principal_component": 104.5, "closing_balance": 105.77 }, { "index": 11, "opening_balance": 105.77, "period_fraction": 1, "periodic_rate": 0.01, "interest": 1.06, "payment": 106.6, "principal_component": 105.77, "closing_balance": 0 } ], "rate_solve": null, "final_plug": { "applied": true, "amount": 0.23, "max_plug": 1, "error": false }, "remeasurement": null, "rounding_steps": [ { "step": "period_fraction (day-count fraction, or declared UNIT_PERIOD fraction)", "mode": "half_up", "precision": 10, "oracle": "declared — clause silent" }, { "step": "periodic_rate = annual_rate * period_fraction (calendar) or (annual_rate/periods_per_year) * period_fraction (UNIT_PERIOD)", "mode": "half_up", "precision": 10, "oracle": "declared — clause silent" }, { "step": "interest = opening_balance * periodic_rate", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "principal_component = payment - interest", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "closing_balance = opening_balance - principal_component", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "final-period plug: residual closing_balance absorbed into the last principal_component so the schedule amortizes to exactly zero", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" } ], "bounds": { "max_periods": 600, "max_segments": 8, "periods_used": 12, "segments_used": 1 }, "day_count_source": "12 CFR 1026 Appendix J (b)(6) — declared unit-period stub fraction, precedent only, not a Reg Z APR claim", "note": "Deterministic amortization schedule via the effective-interest method: period_fraction from a declared day-count convention (UNIT_PERIOD, or one of six ISDA 2006 Definitions Sec 4.16 calendar conventions), periodic_rate derived from annual_rate, interest/principal/closing per period, and a mandatory final-period plug when the schedule amortizes to zero. Remeasurement is schedule SEGMENTATION, never mutation: a new segment always opens at the prior segment's exact closing balance. Bracketed-bisection rate solve is scoped to UNIT_PERIOD only. Demonstrator for the shared _amort.bundle.mjs kernel (ACCT-AMORT-K-1); not itself a wave-specific ASC 842 / ASC 606 / CECL tool." }, "compliance_flags": [], "golden_hash": "d5e5682a42566cef7c2dc972cdfac0a770e3c776680ab208159c03ce702157c6" }, { "name": "final_plug_exceeds_bound", "policy_parameters": { "principal": 1200, "annual_rate": 0.12, "convention": "UNIT_PERIOD", "periods_per_year": 12, "periods": [ { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": false }, { "unit_fraction": 1, "payment": 106.6, "is_termination": true } ], "max_plug": 0.01 }, "output_payload": { "convention": "UNIT_PERIOD", "periods_per_year": 12, "schedule": [ { "index": 0, "opening_balance": 1200, "period_fraction": 1, "periodic_rate": 0.01, "interest": 12, "payment": 106.6, "principal_component": 94.6, "closing_balance": 1105.4 }, { "index": 1, "opening_balance": 1105.4, "period_fraction": 1, "periodic_rate": 0.01, "interest": 11.05, "payment": 106.6, "principal_component": 95.55, "closing_balance": 1009.85 }, { "index": 2, "opening_balance": 1009.85, "period_fraction": 1, "periodic_rate": 0.01, "interest": 10.1, "payment": 106.6, "principal_component": 96.5, "closing_balance": 913.35 }, { "index": 3, "opening_balance": 913.35, "period_fraction": 1, "periodic_rate": 0.01, "interest": 9.13, "payment": 106.6, "principal_component": 97.47, "closing_balance": 815.88 }, { "index": 4, "opening_balance": 815.88, "period_fraction": 1, "periodic_rate": 0.01, "interest": 8.16, "payment": 106.6, "principal_component": 98.44, "closing_balance": 717.44 }, { "index": 5, "opening_balance": 717.44, "period_fraction": 1, "periodic_rate": 0.01, "interest": 7.17, "payment": 106.6, "principal_component": 99.43, "closing_balance": 618.01 }, { "index": 6, "opening_balance": 618.01, "period_fraction": 1, "periodic_rate": 0.01, "interest": 6.18, "payment": 106.6, "principal_component": 100.42, "closing_balance": 517.59 }, { "index": 7, "opening_balance": 517.59, "period_fraction": 1, "periodic_rate": 0.01, "interest": 5.18, "payment": 106.6, "principal_component": 101.42, "closing_balance": 416.17 }, { "index": 8, "opening_balance": 416.17, "period_fraction": 1, "periodic_rate": 0.01, "interest": 4.16, "payment": 106.6, "principal_component": 102.44, "closing_balance": 313.73 }, { "index": 9, "opening_balance": 313.73, "period_fraction": 1, "periodic_rate": 0.01, "interest": 3.14, "payment": 106.6, "principal_component": 103.46, "closing_balance": 210.27 }, { "index": 10, "opening_balance": 210.27, "period_fraction": 1, "periodic_rate": 0.01, "interest": 2.1, "payment": 106.6, "principal_component": 104.5, "closing_balance": 105.77 }, { "index": 11, "opening_balance": 105.77, "period_fraction": 1, "periodic_rate": 0.01, "interest": 1.06, "payment": 106.6, "principal_component": 105.54, "closing_balance": 0.23 } ], "rate_solve": null, "final_plug": { "applied": false, "amount": 0.23, "max_plug": 0.01, "error": true }, "remeasurement": null, "rounding_steps": [ { "step": "period_fraction (day-count fraction, or declared UNIT_PERIOD fraction)", "mode": "half_up", "precision": 10, "oracle": "declared — clause silent" }, { "step": "periodic_rate = annual_rate * period_fraction (calendar) or (annual_rate/periods_per_year) * period_fraction (UNIT_PERIOD)", "mode": "half_up", "precision": 10, "oracle": "declared — clause silent" }, { "step": "interest = opening_balance * periodic_rate", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "principal_component = payment - interest", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "closing_balance = opening_balance - principal_component", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "final-period plug: residual closing_balance absorbed into the last principal_component so the schedule amortizes to exactly zero", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" } ], "bounds": { "max_periods": 600, "max_segments": 8, "periods_used": 12, "segments_used": 1 }, "day_count_source": "12 CFR 1026 Appendix J (b)(6) — declared unit-period stub fraction, precedent only, not a Reg Z APR claim", "note": "Deterministic amortization schedule via the effective-interest method: period_fraction from a declared day-count convention (UNIT_PERIOD, or one of six ISDA 2006 Definitions Sec 4.16 calendar conventions), periodic_rate derived from annual_rate, interest/principal/closing per period, and a mandatory final-period plug when the schedule amortizes to zero. Remeasurement is schedule SEGMENTATION, never mutation: a new segment always opens at the prior segment's exact closing balance. Bracketed-bisection rate solve is scoped to UNIT_PERIOD only. Demonstrator for the shared _amort.bundle.mjs kernel (ACCT-AMORT-K-1); not itself a wave-specific ASC 842 / ASC 606 / CECL tool." }, "compliance_flags": [ "FINAL_PLUG_EXCEEDS_BOUND" ], "golden_hash": "c93ae2f7d52425aef6af75e819e061da8229b63b7e3db31202d1d52ba272e23b" }, { "name": "error_unknown_convention", "policy_parameters": { "principal": 1000, "annual_rate": 0.05, "convention": "FOO", "periods": [ { "unit_fraction": 1, "payment": 100 } ] }, "output_payload": { "convention": "FOO", "schedule": null, "rate_solve": null, "final_plug": null, "remeasurement": null, "rounding_steps": [ { "step": "period_fraction (day-count fraction, or declared UNIT_PERIOD fraction)", "mode": "half_up", "precision": 10, "oracle": "declared — clause silent" }, { "step": "periodic_rate = annual_rate * period_fraction (calendar) or (annual_rate/periods_per_year) * period_fraction (UNIT_PERIOD)", "mode": "half_up", "precision": 10, "oracle": "declared — clause silent" }, { "step": "interest = opening_balance * periodic_rate", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "principal_component = payment - interest", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "closing_balance = opening_balance - principal_component", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "final-period plug: residual closing_balance absorbed into the last principal_component so the schedule amortizes to exactly zero", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" } ], "bounds": { "max_periods": 600, "max_segments": 8, "periods_used": 0, "segments_used": 0 }, "day_count_source": null, "note": "convention must be one of the seven closed day-count modes (build spec Sec 1.1)." }, "compliance_flags": [ "UNKNOWN_CONVENTION" ], "golden_hash": "fa19175d6bfc5a84026018e13f300edea7a2343bdeae6a04972caffd79ed0ca1" }, { "name": "error_no_periods", "policy_parameters": { "principal": 1000, "annual_rate": 0.05, "convention": "UNIT_PERIOD", "periods": [] }, "output_payload": { "convention": "UNIT_PERIOD", "schedule": null, "rate_solve": null, "final_plug": null, "remeasurement": null, "rounding_steps": [ { "step": "period_fraction (day-count fraction, or declared UNIT_PERIOD fraction)", "mode": "half_up", "precision": 10, "oracle": "declared — clause silent" }, { "step": "periodic_rate = annual_rate * period_fraction (calendar) or (annual_rate/periods_per_year) * period_fraction (UNIT_PERIOD)", "mode": "half_up", "precision": 10, "oracle": "declared — clause silent" }, { "step": "interest = opening_balance * periodic_rate", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "principal_component = payment - interest", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "closing_balance = opening_balance - principal_component", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "final-period plug: residual closing_balance absorbed into the last principal_component so the schedule amortizes to exactly zero", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" } ], "bounds": { "max_periods": 600, "max_segments": 8, "periods_used": 0, "segments_used": 0 }, "day_count_source": "12 CFR 1026 Appendix J (b)(6) — declared unit-period stub fraction, precedent only", "note": "schedule() reported NO_PERIODS." }, "compliance_flags": [ "NO_PERIODS" ], "golden_hash": "f43784feb002e33c6af0213d64bbc961f6d88f8c4c95f41a4713a6b28d36f474" }, { "name": "error_invalid_unit_fraction_zero", "policy_parameters": { "principal": 1000, "annual_rate": 0.05, "convention": "UNIT_PERIOD", "periods": [ { "unit_fraction": 0, "payment": 100 } ] }, "output_payload": { "convention": "UNIT_PERIOD", "schedule": null, "rate_solve": null, "final_plug": null, "remeasurement": null, "rounding_steps": [ { "step": "period_fraction (day-count fraction, or declared UNIT_PERIOD fraction)", "mode": "half_up", "precision": 10, "oracle": "declared — clause silent" }, { "step": "periodic_rate = annual_rate * period_fraction (calendar) or (annual_rate/periods_per_year) * period_fraction (UNIT_PERIOD)", "mode": "half_up", "precision": 10, "oracle": "declared — clause silent" }, { "step": "interest = opening_balance * periodic_rate", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "principal_component = payment - interest", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "closing_balance = opening_balance - principal_component", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "final-period plug: residual closing_balance absorbed into the last principal_component so the schedule amortizes to exactly zero", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" } ], "bounds": { "max_periods": 600, "max_segments": 8, "periods_used": 1, "segments_used": 0 }, "day_count_source": "12 CFR 1026 Appendix J (b)(6) — declared unit-period stub fraction, precedent only", "note": "schedule() reported INVALID_PERIOD_FRACTION." }, "compliance_flags": [ "INVALID_PERIOD_FRACTION" ], "golden_hash": "757e4528c1487a12f7d9d86cb21ee35d62cb47a6aeb0d22ca5a131dfbf2b18be" }, { "name": "error_invalid_unit_fraction_over_one", "policy_parameters": { "principal": 1000, "annual_rate": 0.05, "convention": "UNIT_PERIOD", "periods": [ { "unit_fraction": 1.0000000001, "payment": 100 } ] }, "output_payload": { "convention": "UNIT_PERIOD", "schedule": null, "rate_solve": null, "final_plug": null, "remeasurement": null, "rounding_steps": [ { "step": "period_fraction (day-count fraction, or declared UNIT_PERIOD fraction)", "mode": "half_up", "precision": 10, "oracle": "declared — clause silent" }, { "step": "periodic_rate = annual_rate * period_fraction (calendar) or (annual_rate/periods_per_year) * period_fraction (UNIT_PERIOD)", "mode": "half_up", "precision": 10, "oracle": "declared — clause silent" }, { "step": "interest = opening_balance * periodic_rate", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "principal_component = payment - interest", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "closing_balance = opening_balance - principal_component", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "final-period plug: residual closing_balance absorbed into the last principal_component so the schedule amortizes to exactly zero", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" } ], "bounds": { "max_periods": 600, "max_segments": 8, "periods_used": 1, "segments_used": 0 }, "day_count_source": "12 CFR 1026 Appendix J (b)(6) — declared unit-period stub fraction, precedent only", "note": "schedule() reported INVALID_PERIOD_FRACTION." }, "compliance_flags": [ "INVALID_PERIOD_FRACTION" ], "golden_hash": "76f9e0a18cfbfdaee4ee513cb46c74eaa7822ac654ebf94909e4a56766549317" }, { "name": "error_max_periods_exceeded", "policy_parameters": { "principal": 1000, "annual_rate": 0.05, "convention": "UNIT_PERIOD", "periods": [ { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { "unit_fraction": 1, "payment": 1 }, { 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"convention": "ACT_360", "periods": [ { "start": "not-a-date", "end": "2024-02-01", "payment": 100 } ] }, "output_payload": { "convention": "ACT_360", "schedule": null, "rate_solve": null, "final_plug": null, "remeasurement": null, "rounding_steps": [ { "step": "period_fraction (day-count fraction, or declared UNIT_PERIOD fraction)", "mode": "half_up", "precision": 10, "oracle": "declared — clause silent" }, { "step": "periodic_rate = annual_rate * period_fraction (calendar) or (annual_rate/periods_per_year) * period_fraction (UNIT_PERIOD)", "mode": "half_up", "precision": 10, "oracle": "declared — clause silent" }, { "step": "interest = opening_balance * periodic_rate", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "principal_component = payment - interest", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "closing_balance = opening_balance - principal_component", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "final-period plug: residual closing_balance absorbed into the last principal_component so the schedule amortizes to exactly zero", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" } ], "bounds": { "max_periods": 600, "max_segments": 8, "periods_used": 1, "segments_used": 0 }, "day_count_source": "ISDA 2006 Definitions Section 4.16", "note": "schedule() reported INVALID_DATE." }, "compliance_flags": [ "INVALID_DATE" ], "golden_hash": "9ba677ed7d7aafcd42fbfcc2443d12ce94cce6da91b32a996e37bdc0f6370cd5" }, { "name": "error_rate_solve_scoped_off", "policy_parameters": { "principal": 1000, "convention": "ACT_360", "periods": [ { "start": "2024-01-01", "end": "2024-02-01", "payment": 100 } ], "solve_rate": true }, "output_payload": { "convention": "ACT_360", "schedule": null, "rate_solve": { "solved": false, "periodic_rate": null, "annual_rate_equivalent": null, "converged": false, "bracketed": false, "iterations": 0, "error": "RATE_SOLVE_SCOPED_TO_UNIT_PERIOD" }, "final_plug": null, "remeasurement": null, "rounding_steps": [ { "step": "period_fraction (day-count fraction, or declared UNIT_PERIOD fraction)", "mode": "half_up", "precision": 10, "oracle": "declared — clause silent" }, { "step": "periodic_rate = annual_rate * period_fraction (calendar) or (annual_rate/periods_per_year) * period_fraction (UNIT_PERIOD)", "mode": "half_up", "precision": 10, "oracle": "declared — clause silent" }, { "step": "interest = opening_balance * periodic_rate", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "principal_component = payment - interest", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "closing_balance = opening_balance - principal_component", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "final-period plug: residual closing_balance absorbed into the last principal_component so the schedule amortizes to exactly zero", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" } ], "bounds": { "max_periods": 600, "max_segments": 8, "periods_used": 1, "segments_used": 0 }, "day_count_source": "ISDA 2006 Definitions Section 4.16", "note": "No usable annual_rate: either annual_rate was not supplied, or solve_rate was requested but did not bracket/converge." }, "compliance_flags": [ "RATE_SOLVE_SCOPED_TO_UNIT_PERIOD" ], "golden_hash": "528ab25d61e01dc241e10c90b0bd06883a234165b390c2e1b8b66a6c3705d4c9" }, { "name": "error_rate_not_bracketed", "policy_parameters": { "principal": 1000, "convention": "UNIT_PERIOD", "periods_per_year": 12, "periods": [ { "unit_fraction": 1, "payment": 10, "is_termination": false }, { "unit_fraction": 1, "payment": 10, "is_termination": false }, { "unit_fraction": 1, "payment": 10, "is_termination": false }, { "unit_fraction": 1, "payment": 10, "is_termination": false }, { "unit_fraction": 1, "payment": 10, "is_termination": false }, { "unit_fraction": 1, "payment": 10, "is_termination": true } ], "solve_rate": true }, "output_payload": { "convention": "UNIT_PERIOD", "schedule": null, "rate_solve": { "solved": false, "periodic_rate": null, "annual_rate_equivalent": null, "converged": false, "bracketed": false, "iterations": 0, "error": "RATE_NOT_BRACKETED" }, "final_plug": null, "remeasurement": null, "rounding_steps": [ { "step": "period_fraction (day-count fraction, or declared UNIT_PERIOD fraction)", "mode": "half_up", "precision": 10, "oracle": "declared — clause silent" }, { "step": "periodic_rate = annual_rate * period_fraction (calendar) or (annual_rate/periods_per_year) * period_fraction (UNIT_PERIOD)", "mode": "half_up", "precision": 10, "oracle": "declared — clause silent" }, { "step": "interest = opening_balance * periodic_rate", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "principal_component = payment - interest", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "closing_balance = opening_balance - principal_component", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" }, { "step": "final-period plug: residual closing_balance absorbed into the last principal_component so the schedule amortizes to exactly zero", "mode": "half_up", "precision": 2, "oracle": "declared — clause silent" } ], "bounds": { "max_periods": 600, "max_segments": 8, "periods_used": 6, "segments_used": 0 }, "day_count_source": "12 CFR 1026 Appendix J (b)(6) — declared unit-period stub fraction, precedent only", "note": "No usable annual_rate: either annual_rate was not supplied, or solve_rate was requested but did not bracket/converge." }, "compliance_flags": [ "RATE_NOT_BRACKETED" ], "golden_hash": "6f6c73ba7865725d766cc891e0cad5434cb45ac67c6818ec1220b2787f59baaf" } ] }