How debt payoff math works
The snowball and the avalanche are not two philosophies of life — they are two orderings of the same money. Every month you spend the same total: all the minimums plus your extra. The only choice is which debt the extra attacks first.
The formulas
monthly interest = balance × APR ÷ 12 · avalanche target = highest APR · snowball target = smallest balance · when a target is cleared, its minimum joins the extra payment and rolls to the next target
The avalanche is provably the cheapest: every extra dollar kills the most expensive interest first. The snowball is the fastest to a first victory: killing a small balance early frees its minimum sooner and gives you a win to build on. The calculator runs both so you can see the real trade-off for your debts, not an average person's.
Worked example: $10,300 across three cards
The setup: Store card $1,800 at 26.99% ($50 min), Card A $2,500 at 14.99% ($60 min), Card B $6,000 at 21.99% ($150 min), plus a $200/month extra — a $460/month total budget.
Avalanche (highest APR first): Store card cleared in month 8, then Card B in month 25, then Card A in month 29. Total interest $2,692.03, debt-free in 2 years 5 months.
Snowball (smallest balance first): Store card in month 8, then Card A in month 16, then Card B in month 29. Total interest $2,879.67, debt-free in 2 years 5 months. The avalanche saves $187.64; the snowball kills two debts by month 16 instead of one. Neither is wrong — now you know the price of each.
When the math breaks
If your minimums plus the extra payment don't beat one month's total interest, the balances grow instead of shrinking — the calculator tells you plainly instead of spinning forever. Fix it by raising a payment, not by switching strategies: no ordering trick outruns interest that outpaces your payments.
Where this comes in handy
- The full method, step by step: the snowball vs avalanche guide walks through the order math, the hybrid strategy, the minimums trap, and consolidation — with worked numbers.
- One card's true cost: the credit card payoff calculator shows what minimum-only payments really cost on a single balance.
- The extra-payment effect on any loan: the extra loan payment calculator shows how the same extra shrinks a fixed installment loan.
- Sequencing by date: once you pick a strategy, the loan payoff date calculator pins your debt-free month for each remaining loan.
- Your first safety net: keep a small cushion while you attack debt — the emergency fund calculator sizes it so a surprise bill doesn't land back on the cards.