Avalanche saves the most money. Snowball gets you a win faster. Both are legitimate; the honest answer to which one is "better" depends on whether you're more likely to quit from boredom or from math fatigue.
Estimates only. Not financial advice.
| Avalanche | Snowball | |
|---|---|---|
| Order balances by | Highest APR first | Smallest balance first |
| Minimizes total interest | Yes | No |
| First win arrives | Slower, if the highest-rate card is also large | Fast, often within a month or two |
| Best suited for | People motivated by the math | People motivated by visible progress |
Avalanche is mathematically optimal every time: paying the highest-rate balance first always costs less in total interest than any other order. Snowball trades some of that savings for a psychological head start, an early payoff that keeps the plan alive. Neither is wrong; the wrong choice is the one you abandon in month four.
This calculator doesn't use one closed-form equation; it steps through the balance a month at a time, the way a statement actually works. On an $8,000 balance at 19.9 percent APR with a $250 payment, the monthly rate is 0.199 divided by 12, about 0.016583. Month one's interest is 8,000 times 0.016583, near $133; the $250 payment covers that and puts about $117 toward principal, leaving roughly $7,883 owed. Next month, interest is charged on the smaller balance, so a bit more of the same payment reaches principal. Repeat until zero. At $250 a month, this particular balance clears in about 43 months with roughly $2,700 in total interest.
| Monthly payment | Months to payoff | Total interest |
|---|---|---|
| $250 | 43 | $2,700 |
| $300 | 33 | $1,980 |
| $400 | 23 | $1,290 |
Every extra dollar goes straight to principal, which shrinks the balance that all future interest gets charged against. That's why a bigger payment pays off twice over: the debt clears faster, and it costs less to clear.
If you're carrying more than one balance, run each one through this calculator separately in the order your chosen strategy dictates, avalanche by rate or snowball by size, then roll the freed-up payment from a cleared balance into the next one on the list. The Consumer Financial Protection Bureau's general guidance is to pay more than the minimum whenever the budget allows, regardless of which ordering strategy you pick.
Sources: CFPB on minimum payments, CFPB on paying down debt.
Yes, one balance at a time, applying whatever strategy you've chosen (avalanche or snowball) to decide the order. Once the first card in your order is paid off, add its old payment amount to the next card's payment and rerun the numbers for that one.
The balance falls extremely slowly or, in the worst case where the payment doesn't exceed the monthly interest charge, it grows instead of shrinking. This calculator will flag that condition directly if you enter a payment too low to make progress.
It can, mainly by lowering your total available credit and shortening your average account age, both of which factor into scoring models. Many people keep a paid-off card open with no balance rather than closing it, though this is a credit-strategy question separate from the payoff math here.