How we calculate

The exact method behind the Payoff Calculator, in plain words, with a worked example you can check by hand.

1. Monthly interest

Each month we add interest to what you owe, then take off your payment:

monthly interest = balance × APR ÷ 12

Example: $3,000 × 22.36% ÷ 12 = $55.90 in the first month.

This is an approximation, and we say so on every result. Card issuers usually charge interest with a daily rate on your average daily balance, so your statement's numbers can differ slightly from ours. We assume no new purchases, no fees, no rate changes, and every payment made on time, starting next month.

2. The minimum payment: an example rule

Every card sets its minimum payment in its own card agreement, so there is no single "right" rule. The calculator uses an example rule, and you can change both numbers:

minimum = the larger of: interest + 1% of the balance, or $25

Why this rule: the Consumer Financial Protection Bureau's 2023 Consumer Credit Card Market Report (page 40) says most issuers set the minimum payment at 1% of the balance, with interest, fees and past-due amounts added on top, and that every issuer sets a flat dollar floor: from $20 to $41 in 2023, most often $35. We use $25, which sits inside that range. A higher floor makes small balances pay off a little faster, so for a small balance our estimate can show a slightly longer payoff and more interest than a $35 floor would. At a $3,000 balance the floor makes no difference, because 1% plus interest is already above it. We leave out fees and past-due amounts, as the assumptions above say.

Example: in the first month, $55.90 interest + 1% of $3,000 ($30.00) = $85.90. That is more than $25, so the minimum is $85.90: $55.90 goes to interest and $30.00 to the balance.

Your statement shows your own card's numbers: card issuers have to print a "Minimum Payment Warning" that says how long your balance would take to pay off at the minimum (Regulation Z, §1026.7(b)(12)).

3. The last payment

The last payment is usually smaller than the others, and we always count it. It is whatever is left plus that month's interest. Example: $215 at 0% APR, paying $50 a month, takes 5 months, not 4: four payments of $50 and a last payment of $15.00.

If less than half a cent would be left after a payment, we add it to that payment, so the plan never ends with a payment of $0.00.

4. Warnings

We keep full precision while we calculate and round to the cent only when we show a number.

5. Worked example: a $3,000 TV at 22.36% APR

This is the example from Normdale's videos. Example only: the rate is the Federal Reserve's average (see sources), not a rate for your card.

Paying only the minimum (example rule)

MonthInterestPaymentBalance after
1$55.90$85.90$2,970.00
2$55.34$85.04$2,940.30
12$50.05$76.91$2,659.15
24$44.36$68.17$2,357.03
180 (last)$0.36$19.84$0.00

Result: 180 months (15 years). Total paid $7,514.54, of which $4,514.54 is interest. The last payment is $19.84.

Paying a fixed $150 a month

MonthInterestPaymentBalance after
1$55.90$150.00$2,905.90
2$54.15$150.00$2,810.05
12$34.71$150.00$1,747.58
24$6.12$150.00$184.55
26 (last)$0.71$38.70$0.00

Result: 26 months (2 years 2 months). Total paid $3,788.70, of which $788.70 is interest. The last payment is $38.70.

The difference: the same $3,000 costs $3,725.84 more at the minimum ($7,514.54 − $3,788.70), and takes 154 months longer.

Open this example in the Payoff Calculator

6. How we test it

Before the calculator goes live, and after any change, it must pass a set of worked examples with known answers, including every number on this page. A second, separate program (written in another language) recomputes the same cases, and both must agree. The same math is used in Normdale's products.

Sources

Example only, not financial advice. Found a mistake? Email hello@normdale.com. See our editorial policy and disclaimer.