Credit Card Payoff Calculator

A credit card payoff calculation tells you how long it will take to clear a revolving balance at a given monthly payment, and how much interest you will pay along the way. Unlike an installment loan, credit cards have no fixed term — you choose the payment, and the math determines the timeline.

The result depends on three numbers: the current balance, the annual percentage rate (APR), and the fixed monthly payment you commit to. Small increases in monthly payment dramatically shorten the payoff window because more of every dollar goes to principal instead of interest.

Enter the current credit card balance, the card's APR, and the fixed monthly payment you plan to make. The calculator applies monthly compounding, accrues interest on the remaining principal each cycle, and returns the months to payoff plus total interest paid. Make sure your payment exceeds the first month's interest charge — otherwise the balance grows and payoff is impossible.

# months to payoff (fixed monthly payment M, monthly rate r = APR / 12)
n = -ln(1 − (r × P) / M) / ln(1 + r)

# total interest paid
total_interest = (M × n) − P

# requirement
M > r × P    # otherwise balance grows forever

Here P is the starting balance, M is the fixed monthly payment, and r is the periodic monthly rate (annual APR divided by 12). The result n is in months; round up to the nearest whole month for a final, smaller payment.

Suppose you carry an $8,000 balance at 21% APR and commit to $300 per month. The monthly rate is r = 0.21 / 12 ≈ 0.0175. Plug into the formula:

P = 8000
M = 300
r = 0.21 / 12 = 0.0175

r × P            = 0.0175 × 8000 = 140        # first month's interest
M − r×P          = 300 − 140    = 160         # first month's principal cut
1 − (r×P)/M      = 1 − 140/300  ≈ 0.5333
ln(0.5333)       ≈ −0.6286
ln(1 + 0.0175)   ≈ 0.01735

n                = −(−0.6286) / 0.01735 ≈ 36.2 months
                 → round up to 33–34 months in practice
                   (final payment is smaller than $300)

total_paid       ≈ 300 × 33  = $9,900
total_interest   ≈ $9,900 − $8,000 ≈ $1,900

So you would clear the card in roughly 33 months (just under 3 years) and pay about $1,900 in interest on top of the $8,000 principal. Bumping the payment to $400/month drops the timeline to about 24 months and the interest to roughly $1,350.

Card issuers set minimum payments low — typically 1% to 3% of the balance plus the month's interest. That structure means a minimum payment barely beats the interest charge, leaving almost nothing to chip away at principal. The table below compares payoff times for a $5,000 balance across common APRs and payment levels.

Notice the cliff: at 22% APR with a $100 payment, the balance actually grows because the first month's interest ($91.67) leaves only $8.33 for principal — and the next month the interest is nearly the same. Doubling the payment to $200 typically cuts payoff time by more than half because the principal-attack ratio improves on every cycle.

When juggling multiple cards on a fixed monthly budget, two strategies dominate. Avalanche pays the highest APR first and saves the most interest. Snowball pays the smallest balance first and delivers faster psychological wins. Below is a 3-card example with a $600/month total budget (each card receives its minimum, with the surplus directed by the chosen method).

On this example the methods finish within a month of each other and avalanche saves about $80 in interest. The bigger lesson is that either method beats minimums by an enormous margin — pick the one you will actually stick with.

A balance transfer moves debt from a high-APR card to a new card offering a 0% intro APR (commonly 12–21 months). The arithmetic is straightforward: the transfer fee (usually 3–5%) is worth it when it costs less than the interest you would otherwise accrue, and you can clear the balance before the promotional rate ends.

Rule of thumb: only transfer what you can realistically pay off inside the promo window, and freeze (don't close) the original card so the freed-up credit limit continues to support your utilization ratio.

Card APRs convert to a daily periodic rate of APR ÷ 365, applied to the average daily balance and compounded monthly. Carrying a balance through the statement period also forfeits the grace period, so new purchases start accruing interest from the transaction date instead of the due date.

daily_rate            = APR / 365
month_interest        ≈ daily_rate × average_daily_balance × days_in_cycle

# example: $2,000 average balance, 22.99% APR, 30-day cycle
daily_rate            = 0.2299 / 365 ≈ 0.00063
month_interest        ≈ 0.00063 × 2000 × 30 ≈ $37.80

Separately, credit utilization — your balance divided by your credit limit — is the second-largest factor in a FICO score. Issuers report the statement-closing balance, so paying down before the statement cuts can lower reported utilization even if you pay in full each month.

Why does paying only the minimum keep me in debt for years?

Minimums are typically set at 1–3% of the balance plus accrued interest, which barely exceeds the interest charge itself. On a $5,000 balance at 22% APR, a 2% minimum starts near $100 and the bulk goes to interest, so principal shrinks by only a few dollars each month. Payoff can stretch past 20 years and cost more in interest than the original balance.

What is a typical credit card APR right now?

US credit card APRs commonly land between 18% and 28%, with the Federal Reserve reporting an average around 21–23% in recent quarters. Store cards and subprime cards push higher, sometimes above 30%. Rewards cards and cards for excellent credit usually sit at the lower end. Cash-advance and penalty APRs are higher still and accrue interest from day one.

Is the avalanche or snowball method better?

Avalanche pays the highest-APR debt first and saves the most interest mathematically. Snowball pays the smallest balance first and delivers quicker psychological wins as accounts close out. If the highest-APR card is also the largest, the two methods can diverge by hundreds of dollars in interest. Pick avalanche when the math matters, snowball when motivation is the limiting factor.

Are balance transfers worth it?

A 0% intro APR balance transfer (commonly 12–21 months) can wipe out interest while you pay down principal, but most charge a 3–5% transfer fee up front. The math works when the fee is less than the interest you would otherwise accrue and you can clear the balance before the promo APR ends. Watch for deferred-interest clauses and resist running new charges on the freed-up card.

How is credit card interest actually calculated?

Issuers convert the APR into a daily periodic rate (APR ÷ 365) and apply it to the average daily balance, then compound monthly. So a 21.9% APR is about 0.06% per day. Carrying a $1,000 balance for a 30-day cycle accrues roughly $18 in interest. Paying the statement balance in full by the due date avoids all interest on regular purchases thanks to the grace period.

Should I close or cut up the card after paying it off?

Cutting up the physical card or freezing it removes temptation without hurting your credit. Closing the account, however, lowers your total available credit and can shorten your average account age, both of which can drop your score. Keep the account open with a small recurring charge auto-paid in full each month to preserve the credit line and history.

How does credit card debt affect my credit score?

Credit utilization — balance divided by limit — is the second-largest factor in FICO scoring after payment history. Keeping utilization under 30% is the common rule, and under 10% is ideal for top-tier scores. A maxed-out card can drop a score 50–100 points even if payments are on time. Paying down balances before the statement closes lowers the reported utilization.