{ "category": "Financial functions", "display_name": "CUMIPMT", "entry_kind": "built_in_function", "eval_api": { "method": "POST", "url": "https://handbook.dnacalc.com/api/eval" }, "function_id": "FUNC.CUMIPMT", "implementation_state": { "answer_bank": { "excel_builds": [ "20527" ], "larger_numeric": 15, "last_bit": 10, "matched": 13, "other_mismatch": 0, "refused": 0, "rows": 38, "unread": 0, "worst_ulp": 268435456 }, "detail": "Of 276 recorded answers (38 in the answer bank and 238 workbook cells), 77 do not match: 16 differ by more than 16 ULP, 61 differ by at most 16 ULP.", "dnacalc_commit": "9e1884369a678158dd82d3d74188daf986995e87", "in_catalogue": true, "state": "differs", "state_label": "Known larger differences", "summary": "Known larger differences on 77 of 276 recorded answers", "workbook_corpus": { "cells": 238, "larger_numeric": 1, "last_bit": 51, "matched": 186, "worst_ulp": 16 } }, "implementations": [ { "commit": "9e1884369a678158dd82d3d74188daf986995e87", "flavour": "excel-compatibility-candidate", "language": "Rust", "name": "CalcFunc", "own_code": [ "https://github.com/DnaCalc/DnaCalc/blob/9e1884369a678158dd82d3d74188daf986995e87/crates/calc-func/src/catalogue/financial.rs#L222-L224", "https://github.com/DnaCalc/DnaCalc/blob/9e1884369a678158dd82d3d74188daf986995e87/crates/calc-func/src/ported/cumulative_finance_family.rs#L98-L124" ], "repository": "https://github.com/DnaCalc/DnaCalc", "shared_code": [ "catalogue/financial::required_number", "catalogue/financial::required_num", "catalogue/financial::cumulative_out", "ported/cumulative_finance_family::validate_finite", "ported/cumulative_finance_family::trunc_positive_period", "ported/cumulative_finance_family::payment_timing_arg", "ported/cumulative_finance_family::kernel_error", "ported/cumulative_finance_family::principal_sum", "ported/cumulative_finance_family::validate_cumulative_inputs", "ported/cumulative_finance_family::map_cumulative_finance_error_to_ws", "ported/excel_numeric::backend::sqrt", "ported/excel_numeric::binary_with", "ported/excel_numeric::asuint64", "ported/excel_numeric::asdouble", "ported/excel_numeric::top12", "ported/excel_numeric::top16", "ported/excel_numeric::c2", "ported/excel_numeric::c3", "ported/excel_numeric::c4", "ported/excel_numeric::c5", "ported/excel_numeric::specialcase", "ported/excel_numeric::excel_expm1_spilled", "ported/excel_numeric::expm1_internal_graph", "ported/excel_numeric::exp_portable", "ported/excel_numeric::excel_pow_positive", "ported/excel_numeric::excel_pow_chain", "ported/excel_numeric::excel_x87_add", "ported/excel_numeric::excel_x87_sub", "ported/excel_numeric::excel_x87_mul", "ported/excel_numeric::excel_x87_div", "ported/excel_numeric::excel_x87_recip", "ported/excel_numeric::log_general_hi_lo", "ported/excel_numeric::excel_expm1", "ported/excel_numeric::excel_log1p", "ported/excel_numeric::excel_log1p_atanh", "ported/excel_numeric/x87::mul", "ported/excel_numeric/x87::add", "ported/excel_numeric/x87::sub", "ported/excel_numeric/x87::div", "ported/excel_numeric/x87::recip", "ported/excel_numeric/x87_chains::pow2_positive", "ported/excel_numeric/x87_chains::pow2", "ported/excel_numeric/x87_chains::exp_ext", "ported/excel_numeric/x87_chains::exp_with", "ported/excel_numeric/x87_chains::excel_exp", "ported/excel_numeric/x87_chains::log_with", "ported/excel_numeric/x87_chains::excel_log", "ported/financial_time_value_family::PaymentTiming::factor", "ported/financial_time_value_family::validate_finite", "ported/financial_time_value_family::growth", "ported/financial_time_value_family::annuity_term", "ported/financial_time_value_family::balance_equation", "ported/financial_time_value_family::pmt", "ported/financial_time_value_family::values_bracket_root", "ported/financial_time_value_family::bisect_rate_bracket", "ported/financial_time_value_family::search_rate_bracket_from_zero", "ported/financial_time_value_family::rate", "ported/financial_time_value_family::polish_root", "ported/financial_time_value_family::rate_root", "ported/financial_time_value_family::end_payment_quotient", "ported/financial_time_value_family::end_payment_parts", "ported/financial_time_value_family::ipmt", "ported/financial_time_value_family::ppmt", "ported/power_fn::exact_integer_magnitude", "ported/power_fn::accept_negative_base_odd_root", "ported/power_fn::binexp_positive", "ported/power_fn::power_kernel" ], "source": "https://github.com/DnaCalc/DnaCalc/blob/9e1884369a678158dd82d3d74188daf986995e87/crates/calc-func/src/catalogue/financial.rs#L222-L224", "state": "differs", "suite": null, "summary": "Known larger differences on 77 of 276 recorded answers" } ], "json_url": "https://handbook.dnacalc.com/api/functions/FUNC.CUMIPMT.json", "name": "CUMIPMT", "notes": [ { "basis": "One loan block of the catalogue capture, recomputed from the recorded answers by binary64 arithmetic, and 135 recorded single-period CUMPRINC rows compared with PPMT's route.", "documentation": null, "evidence": [ { "commit": "b5d84a80a5a4640eca9ce04f232c0bc115503f34", "locator": "section UPDATE, open item 3", "note": "research write-up", "path": "content/notes/evidence/2026-11-04/annuity-EVIDENCE.txt", "repository": "ExcelFunctionsHandbook" }, { "commit": "6c6cbd31c960fe1ac07d5cce9cb33ca9d7d86cf5", "locator": null, "note": "the commit message states the 79 of 135 and the loss class", "path": "crates/calc-func/src/ported/cumulative_finance_family.rs", "repository": "DnaCalc" } ], "functions": [ "FUNC.CUMIPMT", "FUNC.CUMPRINC" ], "inferred": "That the 79 single-period differences are CUMPRINC's own and not PPMT's rests on the PPMT route, which matches every fv 0, type 0 row tested. That CUMIPMT remains count*PMT less CUMPRINC beyond this block is inferred.", "kind": "bit-matching-detail", "note_id": "FN-CUMPRINC-001", "open": [ "CUMPRINC's per-period route. Recurrences, closed balances, count*PMT less interest and binary64 variants all stay below PPMT's 56 of 135. Recorded rows now match CUMPRINC 185 of 586 and CUMIPMT 12 of 38." ], "recorded_on": "2026-11-04", "repros": [ { "call": "=CUMPRINC(0.05/12,360,200000,1,12,0)", "correct": null, "excel": { "bits": "0xc0a70d761d260042", "display": "-2950.7306911349597", "kind": "number" }, "input_route": "formula-literal", "inputs": [], "recorded_in": "Excel 16.0.20527.20088 Current Channel, Windows 64-bit (NT 10.0.26200), x86-64, AMD Ryzen 7 4800H, en-ZA", "source": { "commit": "c9f9d354165d2c20b9455c32582ea50baac7ba73", "locator": "sheet dcj9k_annuity, row 751, column 4", "note": null, "path": "crates/calc-func/tests/captures/catalogue/sections/dcj9k_annuity.capture.json", "repository": "DnaCalc" } }, { "call": "=CUMIPMT(0.05/12,360,200000,1,12,0)", "correct": null, "excel": { "bits": "0xc0c3667e7f577146", "display": "-9932.988261156377", "kind": "number" }, "input_route": "formula-literal", "inputs": [], "recorded_in": "Excel 16.0.20527.20088 Current Channel, Windows 64-bit (NT 10.0.26200), x86-64, AMD Ryzen 7 4800H, en-ZA", "source": { "commit": "c9f9d354165d2c20b9455c32582ea50baac7ba73", "locator": "sheet dcj9k_annuity, row 752, column 4", "note": null, "path": "crates/calc-func/tests/captures/catalogue/sections/dcj9k_annuity.capture.json", "repository": "DnaCalc" } }, { "call": "=PMT(0.05/12,360,200000)", "correct": null, "excel": { "bits": "0xc090c692af15f63a", "display": "-1073.6432460242781", "kind": "number" }, "input_route": "formula-literal", "inputs": [], "recorded_in": "Excel 16.0.20527.20088 Current Channel, Windows 64-bit (NT 10.0.26200), x86-64, AMD Ryzen 7 4800H, en-ZA", "source": { "commit": "c9f9d354165d2c20b9455c32582ea50baac7ba73", "locator": "sheet dcj9k_annuity, row 726, column 4", "note": null, "path": "crates/calc-func/tests/captures/catalogue/sections/dcj9k_annuity.capture.json", "repository": "DnaCalc" } } ], "schema": "efh.function-note/v1", "statement": "On the 30-year loan, CUMPRINC(0.05/12,360,200000,1,12,0) equals the left-to-right binary64 sum of Excel's own twelve PPMT answers, to the last bit, and CUMIPMT over the same periods equals 12*PMT - CUMPRINC, computed from Excel's own answers, to the last bit. That does not generalise: over recorded type 0 calls for a single period, CUMPRINC equals PPMT on 56 of 135 rows and differs on 79, with PPMT computed by the route in FN-IPMT-001.", "status": "measured", "title": "CUMPRINC follows PPMT on one loan and not in general; its own route is open" } ], "schema": "efh.function-reference/v1", "section_order": [ "what-it-does", "try-it", "quirks", "how-to-implement", "version-differences", "alternatives" ], "sections": { "alternatives": "\n### Relationships\n\n\n- **[CUMPRINC](FUNC.CUMPRINC.md)** — the principal half. Same six arguments, same validation,\n same period range. The identity `CUMIPMT + CUMPRINC = pmt × (end_period − start_period + 1)`\n holds exactly in the mathematics. In floating point FN-CUMPRINC-001 measures it to the last bit\n on one loan and infers the rest, which makes it a useful consistency probe rather than a\n substitute for either function.\n- **`IPMT`** — the single-period interest component. `CUMIPMT` is its sum in the mathematics. On a\n one-period range FN-CUMPRINC-001 measures `CUMPRINC` and `PPMT` differing, so do not assume this\n pair agrees in the last bits.\n- **`PPMT`** — the single-period principal component. `CUMPRINC` is its sum in the mathematics, and\n not in general in Excel (FN-CUMPRINC-001).\n- **`PMT`** — the payment the whole family is built on. Every `CUMIPMT` evaluation computes it\n first, so any `PMT` error is inherited.\n- **`FV`, `PV`, `NPER`, `RATE`** — the other faces of the same annuity equation. The Handbook's\n research record documents that Excel does **not** share one annuity helper across them: `PMT`\n uses a cancellation-safe discount form where `FV` and `PV` use the naive power form. A page\n that assumes one shared kernel will mispredict all of them.\n- **`ISPMT`** — a different interest function entirely, for loans where principal is repaid in\n equal instalments rather than the payment being level. Not a substitute.\n- **Confused with**: `IPMT` (single period versus range) and `ISPMT` (level principal versus\n level payment).\n\n\n", "how-to-implement": "\n### Numerical notes\n\n3. **The algebraic shortcut is a different function numerically.** `pmt × count − CUMPRINC` and\n `Σ IPMT` are equal in exact arithmetic and not in binary64. Choosing between them is a\n compatibility decision, not an optimization.\n4. **The balance recurrence amplifies.** Each term is `rate × balance`, and the balance is itself\n an annuity value; an error in `pmt` enters every term with the same sign, so residuals\n accumulate rather than cancel across a long range. This is why cumulative functions are\n harder than their single-period siblings.\n5. **`type` = 1 shifts the whole schedule by one payment** and makes the first period's interest\n exactly zero. A single mis-handled first period changes every subsequent balance.\n\n\n", "quirks": "\n### Sign conventions\n\n\nThis is where wrong answers in this family come from, and it is worth stating flatly.\n\n**Money you receive is positive; money you pay is negative.** For a loan:\n\n- `pv` is the amount borrowed — money *received* — and so is **positive**.\n- The payment is money *paid* — and so is **negative**.\n- `CUMIPMT` sums interest components of those negative payments, so **the result is negative**.\n\nA `CUMIPMT` that returns a positive number has been given inputs with the opposite convention\nsomewhere, and a model that adds `CUMIPMT` to a cost total rather than subtracting it will be\nwrong by twice the interest. Wrapping the call in `ABS` is the conventional fix for presentation\nand a common source of sign errors in the arithmetic underneath.\n\n\n### Result and edge cases\n\n- **`start_period` = `end_period`** gives the single period's interest — the same quantity\n `IPMT` returns for that period.\n- **`start_period` = 1 with `type` = 1** is the case an attached defect stream names: under a\n beginning-of-period annuity the first payment happens before any interest has accrued, so the\n first period's interest component is zero, and every implementation has to special-case it.\n See \"What has not been checked\".\n- **Very small `rate`** is where the arithmetic gets interesting rather than the semantics; see\n the numerical notes.\n- **Long ranges** cost time proportional to `end_period − start_period`, because the sum is\n evaluated term by term.\n- Empty, missing and error arguments follow the shared call model; see\n [The value universe](../model/01-value-universe.md) and\n [Coercion and lifting](../model/02-coercion-and-lifting.md).\n\n\n\n### Errors\n\n\nMicrosoft's Learn page documents three conditions. The first of them is printed with the\ninequalities the wrong way round:\n\n> \"If rate > 0, nper > 0, or pv > 0, **CumIPmt** generates an error.\"\n\nRead literally, that sentence says a positive rate on a positive loan is an error, which would\nmake the function unusable. **The sibling page for [CUMPRINC](FUNC.CUMPRINC.md) states the same\ncondition as \"If rate ≤ 0, nper ≤ 0, or pv ≤ 0\"** — the reading everything else supports. The\nHandbook records the `CumIPmt` page's inequality as a documentation defect, evidenced by its own\nsibling page, and does not adopt it.\n\nThe three documented conditions, with that correction noted:\n\n| Condition (documented) | Documented outcome |\n|---|---|\n| `rate` ≤ 0, `nper` ≤ 0, or `pv` ≤ 0 (page prints `>` for all three) | error |\n| `start_period` < 1, `end_period` < 1, or `start_period` > `end_period` | error |\n| `type` is any number other than 0 or 1 | error |\n\n", "sources": "- Microsoft Learn, **WorksheetFunction.CumIPmt method (Excel)** —\n . Source of\n the parameter table, the `type` table, the consistent-units paragraph quoted above, the\n truncation rule, and the three error conditions — including the \"If rate > 0, nper > 0, or\n pv > 0\" sentence recorded above as a documentation defect.\n- Microsoft Learn, **WorksheetFunction.CumPrinc method (Excel)** —\n . Cited as\n the evidence for that defect: the same condition, stated with \"≤\".\n- Microsoft 365 support, **CUMIPMT function** —\n .\n The worksheet-surface page; **not retrieved** for this entry (the host returned HTTP 403).\n- Handbook evidence records `EV-FIN-0001`, `EV-FIN-0002`, `EV-FIN-0005`, `EV-FIN-0017`, each of\n which lists this surface in its subjects, and each of which carries its own reader warning.\n- Handbook, `content/lastbit/MATERIAL_W109_PRIMITIVES.md` §22 — the recorded finding that Excel's\n `PMT` uses a cancellation-safe form its siblings do not.\n- Handbook chapters [01 the value universe](../model/01-value-universe.md),\n [02 coercion and lifting](../model/02-coercion-and-lifting.md),\n [06 claim language](../model/06-claim-language.md),\n [07 implementation options](../model/07-implementation-options.md).\n- `data/functions/FUNC.CUMIPMT.json`, `data/presence/FUNC.CUMIPMT.json`,\n `data/battery/FUNC.CUMIPMT.json`.\n\n", "version-differences": "The recorded environments below distinguish a reading from a same-input comparison. Counts describe captured inputs in each environment; overlapping captures and comparisons are not totals of unique worksheet calls.\n\n| Excel 16.0 build | Platform and CPU | Captured inputs |\n|---|---|---:|\n\nThe record contains no same-input comparison between these environments. Reading different inputs on different builds does not establish either a version change or cross-build agreement.\n\n[Recorded environments and comparison details](https://github.com/DnaCalc/ExcelFunctionsHandbook/blob/5dc75391aa5125ccc5abdb095da85950980d6fd8/content/evidence/environments/FUNC.CUMIPMT.json).", "what-it-does": "\n`CUMIPMT(rate, nper, pv, start_period, end_period, type)` returns the **total interest paid on a\nloan between two period numbers, inclusive**.\n\nIt sits on top of the standard level-payment annuity. That model is one equation:\n\n> pv·(1+r)^n + pmt·(1 + r·type)·((1+r)^n − 1)/r + fv = 0\n\nwith `r` the per-period rate, `n` the number of periods, and `type` 0 for payments at the end of\neach period or 1 for payments at the beginning. Solving it for the payment gives the constant\n`pmt` that `PMT` returns; every period then splits that payment into interest and principal:\n\n> interest in period k = r × (balance outstanding at the start of period k)\n> principal in period k = pmt − interest in period k\n\nand, in exact arithmetic,\n\n> CUMIPMT(r, n, pv, s, e, type) = Σ_{k = s}^{e} IPMT(r, k, n, pv, 0, type)\n\nNote that `fv` is fixed at zero: `CUMIPMT` models a loan amortized to nothing. There is no\nargument for a balloon payment, which is the usual reason a real amortization schedule and a\n`CUMIPMT` total fail to agree.\n\n\n\n### Arguments\n\n\n`CUMIPMT(rate, nper, pv, start_period, end_period, type)` — six arguments, all required.\n\n| Argument | Meaning (Microsoft's wording) | Notes |\n|---|---|---|\n| `rate` | \"The interest rate.\" | **Per period**, not per year |\n| `nper` | \"The total number of payment periods.\" | Truncated to an integer |\n| `pv` | \"The present value.\" | The loan amount; positive for a loan |\n| `start_period` | \"The first period in the calculation. Payment periods are numbered beginning with 1.\" | Truncated |\n| `end_period` | \"The last period in the calculation.\" | Truncated |\n| `type` | \"The timing of the payment.\" | 0 or 1 |\n\n| `type` | Timing (Microsoft's table) |\n|---|---|\n| 0 (zero) | Payment at the end of the period |\n| 1 | Payment at the beginning of the period |\n\n**Periods are numbered from 1.** `start_period` = 1 is the first payment, not the second and not\nthe zeroth. This differs from [AMORLINC](FUNC.AMORLINC.md) and [AMORDEGRC](FUNC.AMORDEGRC.md),\nwhich count depreciation periods from 0.\n\n**`rate` and `nper` must use the same unit.** Microsoft states it directly: \"If you make monthly\npayments on a four-year loan at an annual interest rate of 12 percent, use 12%/12 for rate and\n4\\*12 for nper. If you make annual payments on the same loan, use 12% for rate and 4 for nper.\"\nFeeding an annual rate with a monthly period count is the second most common error in this\nfamily, after the sign convention.\n\n" }, "signature": { "display": "CUMIPMT(rate, nper, pv, start_period, end_period, type)", "parameters": [ { "description": null, "name": "rate", "optional": false, "repeats": false }, { "description": null, "name": "nper", "optional": false, "repeats": false }, { "description": null, "name": "pv", "optional": false, "repeats": false }, { "description": null, "name": "start_period", "optional": false, "repeats": false }, { "description": null, "name": "end_period", "optional": false, "repeats": false }, { "description": null, "name": "type", "optional": false, "repeats": false } ], "trailing_repeats": false }, "sources": { "metadata": { "admission": { "label": "implemented", "reason": null }, "arity": { "max": 6, "min": 6 }, "category": "Financial functions", "classification": { "arg_preparation_profile": "ValuesOnlyPreAdapter", "coercion_lift_profile": "Custom", "determinism_class": "Deterministic", "error_collapse_profile": "None", "fec_dependency_profile": "None", "host_interaction_class": "None", "kernel_signature_class": "Custom", "rich_value_usage": "RichBlind", "surface_fec_dependency_profile": "None", "thread_safety_class": "SafePure", "volatility_class": "NonVolatile" }, "descriptions": { "long": null, "short": "Total interest paid on a loan between two periods", "short_source": "dna-calc-own" }, "docs": { "english_description": "Returns the cumulative interest paid between two periods", "microsoft_url": "https://support.microsoft.com/en-us/office/cumipmt-function-61067bb0-9016-427d-b95b-1a752af0e606" }, "entry_kind": "built_in_function", "localized_family_names": null, "localized_names": [ { "locale": "ar-SA", "name": "CUMIPMT" }, { "locale": "bg-BG", "name": "CUMIPMT" }, { "locale": "cs-CZ", "name": "CUMIPMT" }, { "locale": "da-DK", "name": "AKKUM.RENTE" }, { "locale": "de-DE", "name": "KUMZINSZ" }, { "locale": "el-GR", "name": "CUMIPMT" }, { "locale": "en-AU", "name": "CUMIPMT" }, { "locale": "en-GB", "name": "CUMIPMT" }, { "locale": "en-US", "name": "CUMIPMT" }, { "locale": "es-ES", "name": "PAGO.INT.ENTRE" }, { "locale": "et-EE", "name": "CUMIPMT" }, { "locale": "fi-FI", "name": "MAKSETTU.KORKO" }, { "locale": "fr-FR", "name": "CUMUL.INTER" }, { "locale": "he-IL", "name": "CUMIPMT" }, { "locale": "hr-HR", "name": "CUMIPMT" }, { "locale": "hu-HU", "name": "KRITBINOM" }, { "locale": "id-ID", "name": "CUMIPMT" }, { "locale": "it-IT", "name": "INT.CUMUL" }, { "locale": "ja-JP", "name": "CUMIPMT" }, { "locale": "ko-KR", "name": "CUMIPMT" }, { "locale": "lt-LT", "name": "CUMIPMT" }, { "locale": "lv-LV", "name": "CUMIPMT" }, { "locale": "nb-NO", "name": "SAMLET.RENTE" }, { "locale": "nl-NL", "name": "CUM.RENTE" }, { "locale": "pl-PL", "name": "SPŁAC.ODS" }, { "locale": "pt-BR", "name": "PGTOJURACUM" }, { "locale": "pt-PT", "name": "PGTOJURACUM" }, { "locale": "ro-RO", "name": "CUMIPMT" }, { "locale": "ru-RU", "name": "ОБЩПЛАТ" }, { "locale": "sk-SK", "name": "CUMIPMT" }, { "locale": "sl-SI", "name": "CUMIPMT" }, { "locale": "sr-Latn-RS", "name": "CUMIPMT" }, { "locale": "sv-SE", "name": "KUMRÄNTA" }, { "locale": "th-TH", "name": "CUMIPMT" }, { "locale": "tr-TR", "name": "TOPÖDENENFAİZ" }, { "locale": "uk-UA", "name": "CUMIPMT" }, { "locale": "vi-VN", "name": "CUMIPMT" }, { "locale": "zh-CN", "name": "CUMIPMT" }, { "locale": "zh-HK", "name": "CUMIPMT" }, { "locale": "zh-TW", "name": "CUMIPMT" } ], "signature": { "display": "CUMIPMT(rate, nper, pv, start_period, end_period, type)", "parameters": [ { "description": null, "name": "rate", "optional": false, "repeats": false }, { "description": null, "name": "nper", "optional": false, "repeats": false }, { "description": null, "name": "pv", "optional": false, "repeats": false }, { "description": null, "name": "start_period", "optional": false, "repeats": false }, { "description": null, "name": "end_period", "optional": false, "repeats": false }, { "description": null, "name": "type", "optional": false, "repeats": false } ], "trailing_repeats": false }, "surface_name": "CUMIPMT", "version_marker": null, "xlcall": { "code": "448", "symbol": "xlfCumipmt" } }, "microsoft": "https://support.microsoft.com/en-us/office/cumipmt-function-61067bb0-9016-427d-b95b-1a752af0e606" }, "try_it": { "formula": "=CUMIPMT(0.05/12,360,200000,1,12,0)" }, "url": "https://handbook.dnacalc.com/functions/CUMIPMT.html", "variants": [], "versions": [ { "behaviour": "=CUMIPMT(0.05/12,360,200000,1,12,0) returned -9932.988261156377 (0xc0c3667e7f577146). Inputs were supplied through formula literals. These are controls from this environment, not a same-input comparison with another build.", "excel_build": "16.0.20527.20088", "observations": [ { "call": "=CUMIPMT(0.05/12,360,200000,1,12,0)", "excel": { "bits": "0xc0c3667e7f577146", "display": "-9932.988261156377", "kind": "number" }, "input_route": "formula-literal", "inputs": [], "recorded_in": "Excel 16.0.20527.20088 Current Channel, Windows 64-bit (NT 10.0.26200), x86-64, AMD Ryzen 7 4800H, en-ZA" } ], "platform": "Windows 64-bit (NT 10.0.26200), x86-64, AMD Ryzen 7 4800H, en-ZA", "sources": [ "https://github.com/DnaCalc/ExcelFunctionsHandbook/blob/3345a87/content/notes/FN-CUMPRINC-001.json" ] } ] }