Finance

Debt Payoff Calculator

Your escape date from any balance, at any payment.

Minimum payments are designed to keep you in debt as long as possible. Enter your balance, APR and monthly payment to see exactly when you'll be debt-free and how much interest you'll pay. Then try a slightly bigger payment — the time and money you save is usually shocking.

Introduction

Paying off high-interest debt is usually the best 'investment' available: every dollar of a 20% APR balance you eliminate earns a guaranteed, tax-free, risk-free 20% return — better than any market promise. The payoff time depends on the monthly rate and payment size through the amortization formula, and there is one iron rule: your payment must exceed the monthly interest charge, or the balance grows forever no matter how faithfully you pay. On $8,000 at 19.99%, monthly interest alone is about $133; a $100 payment would let the debt grow while you 'pay' it. Minimum payments are designed to keep you in debt for decades; anything above the minimum attacks the principal directly.

Two strategies dominate, and both beat spreading extra payments evenly. The avalanche — pay minimums everywhere, throw every extra dollar at the highest rate first — minimizes total interest mathematically and is the cheapest path out. The snowball — attack the smallest balance first regardless of rate — wins psychologically by delivering quick victories that keep you motivated. Avalanche is cheaper; snowball has better adherence; studies suggest most people do better with the method they will actually stick to. Either way, once a balance is clear, redirect its old payment to the next debt rather than absorbing it into spending — that is how the payoff accelerates like a snowball rolling downhill. And stop the bleeding first: no payoff plan survives new charges on the same cards.

How it's calculated

The balance is amortized month by month: each month's interest is added, then your payment is subtracted, until the balance hits zero. If the payment doesn't cover monthly interest, the debt never shrinks.

Worked examples

$8,000 at 19.99% APR, paying $250 a month

Monthly rate r = 0.1999/12 = 0.016658. Months to payoff: n = -ln(1 - 8,000 x 0.016658 / 250) / ln(1.016658) = -ln(0.46694) / 0.016521 = 46.1, so 47 payments. Total paid is roughly $11,600 — about $3,600 of it interest, or 45% on top of the original debt. Raise the payment to $350 and the math transforms: n = -ln(1 - 8,000 x 0.016658 / 350) / ln(1.016658) ≈ 29 months, with roughly $2,100 of interest. An extra $100 a month saves 18 months and about $1,500 — the payoff curve is steepest at the start, so early extra payments matter most.

Avalanche vs snowball on two cards

Card A: $3,000 at 24%. Card B: $5,000 at 15%. Avalanche attacks Card A first (highest rate: 24% > 15%); snowball also attacks Card A first (smallest balance of the two) — here they agree, which happens often. But flip the rates — Card A at 15%, Card B at 24% — and they diverge: avalanche targets the $5,000 card (saving the most interest), while snowball clears the $3,000 card first (the faster psychological win). The interest difference between the strategies is usually a few hundred dollars; the motivation difference can be the whole plan. Pick the one you will actually follow for two years.

Frequently asked questions

What if my payment only covers the interest?

Then the balance never drops — you're treading water forever. The calculator will flag this: you must pay more than the monthly interest charge (balance × APR ÷ 12) to make any progress.

Should I pay the highest-APR debt first?

Mathematically yes — that's the avalanche method, and it minimizes total interest. The snowball method (smallest balance first) costs a bit more but gives quicker wins that keep people motivated.

How much do extra payments really save?

A lot, because early payments kill principal that would have generated interest for years. On a $5,000 balance at 18%, raising the payment from $150 to $200 cuts the payoff from 47 months to 32 and saves roughly $670 in interest.

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References