Payoff Timeline
Monthly interest = Balance × (Annual Rate / 12) Principal paid = Payment − Monthly interest New balance = Previous balance − Principal paid Repeat until balance = 0

Each month, interest accrues on the remaining balance first. Whatever is left of your payment reduces the principal. Higher payments accelerate payoff exponentially because less interest accrues each subsequent month.

Months to payoff (balance A1, rate% B1, payment C1)
=NPER(B1/100/12,-C1,A1)
Total interest (NPER result in D1)
=C1*D1-A1

How Minimum Payments Trap You

Credit card minimum payments are deliberately designed to extend debt repayment as long as possible, maximizing interest paid. A typical minimum payment is 2% of the balance or $25, whichever is greater. On an $8,500 balance at 22% APR, a $170 minimum payment pays off the debt in approximately 7 years and costs about $5,900 in interest — nearly 70% of the original balance added in interest alone.

As you pay down the balance, the minimum payment also drops — which further extends the payoff timeline if you always pay just the minimum. This is the minimum payment trap: by paying only the minimum, you maximize time in debt and total interest paid while minimizing short-term pain. It is one of the most expensive financial habits common in personal finance.

The fix is straightforward: fix your payment at the initial minimum amount and do not reduce it as the balance drops. Better still, add any extra amount you can manage. The calculator above shows exactly how much each additional dollar per month saves in interest and time.

Avalanche vs Snowball: Choosing a Payoff Strategy

If you have multiple debts, two strategies dominate the personal finance literature. The avalanche method pays minimum payments on all debts, then directs all extra money to the highest-interest-rate debt first. This minimizes total interest paid and is mathematically optimal.

The snowball method pays minimum payments on all debts, then directs extra money to the smallest balance first regardless of interest rate. This creates faster "wins" as smaller debts are eliminated, providing psychological momentum. Research shows the snowball method leads to higher debt payoff completion rates because of this motivational effect.

The mathematically correct choice is avalanche. The psychologically effective choice is snowball. The best choice is whichever one you will actually stick to. If you find debt payoff discouraging, snowball may serve you better despite being slightly more expensive in interest.

Frequently Asked Questions

If your debt carries a high interest rate (credit cards at 20%+), paying it off is almost always the better financial move — it delivers a guaranteed "return" equal to the interest rate. No investment reliably returns 20%+ after tax. For low-interest debt (under 5-6%), the math favors investing in a diversified portfolio while making minimum payments, since long-term investment returns historically exceed low interest rates.
Pay minimum payments on all debts, then put all extra money toward the highest-interest debt. Once it is paid off, roll that payment into the next-highest-interest debt (the "avalanche roll"). This minimizes total interest paid across all debts. Example: with a 22% credit card and a 7% auto loan, pay minimums on the auto loan and attack the credit card aggressively.
Compound interest works against you when you're in debt — interest accrues on the interest that has already accrued. On revolving debt like credit cards where interest can compound daily, the effective annual rate is higher than the stated APR. Making at least the minimum payment every month prevents compounding from adding to your balance, but only payments above the interest charge actually reduce the principal.
A personal loan used to pay off multiple high-interest debts, combining them into one lower-interest monthly payment. If you can consolidate $15,000 of credit card debt at 22% into a personal loan at 10%, you save substantially in interest and have a defined payoff date. The risk: if the problem was overspending, consolidation without behavior change often results in running the credit cards back up, doubling the debt.