Card Minimum Payment Months Payoff Calculator

Route exact rounded card monthly balance/interest ledger with explicit minimum percentage of post-interest balance and floor; payoff sentinel−1 beyond 600-month horizon. Caller independently verifies edition, jurisdiction, applicability and one currency; screening does not establish legal compliance, coverage or bank approval.

Description

A card minimum-payment schedule combines interest, a balance-based minimum and a floor.

A card minimum-payment schedule combines interest, a balance-based minimum and a floor.1

A finite model horizon may end with unpaid debt even when each payment amortizes. Use Card Minimum Payment Months Payoff Calculator to evaluate the supplied inputs under the model explained below.

When to use Card Minimum Payment Months Payoff Calculator

Use Card Minimum Payment Months Payoff Calculator to evaluate the supplied inputs under the model explained below. Establish the currency and minor-unit convention, measurement period and applicable transaction or institution context.

How to use Card Minimum Payment Months Payoff Calculator and understand its results

  1. Establish the currency and minor-unit convention, measurement period and applicable transaction or institution context.
  2. Enter Opening card balance minor, Caller monthly rate bps, Caller minimum balance bps, Caller minimum floor minor, Caller maximum months using the field table and validation rules below, then run the tool.
  3. Read Observed payoff month count, Total modeled interest minor, Remaining after horizon minor, Monthly payment minor; interpret the units, signs, ordering and unknown-value placeholders described below.
  4. Correct reported input errors and rerun. Apply successful results according to their specific meanings and check the assumptions before using them in a decision.
Input fieldMeaningValue typeRequirement
openingCardBalanceMinorOpening card balance minornumberRequired; constraints below
callerMonthlyRateBpsCaller monthly rate bpsnumberRequired; constraints below
callerMinimumBalanceBpsCaller minimum balance bpsnumberRequired; constraints below
callerMinimumFloorMinorCaller minimum floor minornumberRequired; constraints below
callerMaximumMonthsCaller maximum monthsnumberRequired; constraints below

Enter nonnegative integer opening balance and payment floor up to 1000000000000, monthly interest and minimum-balance rates as integers 0–10000 basis points and horizon 1–600 months. Monthly interest is nearest-minor half-away rounded opening balance×monthlyBps/10000. Minimum percentage applies to balance plus that interest; pay the smaller of due and max(floor,rounded percentage). Payment must strictly exceed interest. Return payments, total interest, remaining balance and payoff month count, or −1 when the horizon leaves debt. Zero opening balance returns zero months and empty payments. No new spending, fees or annual-rate conversion occurs.

due=balance+round(balance×monthlyBps/10000); pay=min(due,max(floor,round(due×minimumBps/10000)))

Use the field order, units and branch conditions described above.

Output fieldMeaningValue type
observedPayoffMonthCountObserved payoff month countnumber
totalModeledInterestMinorTotal modeled interest minornumber
remainingAfterHorizonMinorRemaining after horizon minornumber
monthlyPaymentMinorMonthly payment minorarray of number
json
{
  "input": {
    "openingCardBalanceMinor": 1000,
    "callerMonthlyRateBps": 0,
    "callerMinimumBalanceBps": 5000,
    "callerMinimumFloorMinor": 100,
    "callerMaximumMonths": 12
  },
  "output": {
    "observedPayoffMonthCount": 5,
    "totalModeledInterestMinor": 0,
    "remainingAfterHorizonMinor": 0,
    "monthlyPaymentMinor": [
      500,
      250,
      125,
      100,
      25
    ]
  }
}

Limitations and assumptions

A finite model horizon may end with unpaid debt even when each payment amortizes. Apply the exact scope and assumptions explained above.

All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse arrays fail validation. Domain-specific bounds, alignments and supported tokens are explained above; extremely large inputs or outputs can also be rejected. Input errors differ from successful false results, empty match lists and unknown-evidence placeholders.

Alternative or Complementary methods

Use Discount Points Buydown Breakeven Months Calculator for a related task: Discount points exchange additional closing cost for a different payment schedule.

Use Balance Transfer Break Even Months Calculator for a related task: A balance transfer changes interest charges while introducing an upfront cost.

References

  1. Card Minimum Payment Months Payoff Calculator — tool.io

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