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Paying Off Debt Fastest: The Maths That Works

Paying Off Debt Fastest: The Maths That Works

The speed of repayment comes down to three variables: how much you pay each month, which debt you pay first, and whether new borrowing is happening while you repay. Getting the order right matters, but the total amount paid matters far more. Here is how the methods compare in actual money.

The Two Standard Orders

The avalanche method lists debts from highest interest rate to lowest and sends every spare pound or dollar to the top one while paying minimums on the rest. It costs the least interest, because each unit of money repaid against the highest rate removes the most future cost.

The snowball method lists debts from smallest balance to largest and clears the smallest first. It costs slightly more interest but produces a cleared account sooner, and many people finish repayment on it because it supplies visible progress.

A worked comparison. Three debts: 4,000 at 24 percent, 2,000 at 18 percent, 6,000 at 9 percent. With 800 a month available and minimums of 120, 60 and 120, avalanche repays the 24 percent card first. Snowball repays the 2,000 balance first. The difference in total interest is usually modest, in the low hundreds on debts of this size. The difference in motivation is not measurable, which is why either works if you finish it.

Why The Monthly Amount Beats The Method

Run the 4,000 balance at 24 percent with minimums only. Interest in month one is 80, and a 2 percent minimum is 80 plus 80, so 160 and only 80 goes to principal. Doubling the payment to 320 clears the balance in about 15 months and keeps interest near 800 rather than over 3,000.

Time is the variable you control most easily. Raising a payment by 10 percent shortens the term disproportionately, because the extra money lands entirely on principal rather than on interest already accrued.

Cutting the rate matters too. Moving a 24 percent balance to a 0 percent promotional card or a lower-rate consolidation loan reduces the interest accruing each month, which speeds up principal repayment if you keep the payment size the same rather than letting it fall.

Remove The Leaks First

New spending on a card you are repaying cancels progress. If you add 200 a month to a balance while repaying 300 in principal, your net reduction is 100, and the payoff date moves years later. Stopping new charges is usually worth more than any change of method.

Keep one card for genuine emergencies and set a limit you can clear in a single month. Cancel or freeze the rest of the available credit, or remove the saved card details from your browser and phone.

Watch the fees attached to consolidation. A balance transfer fee of 2 to 4 percent on 6,000 is 120 to 240 added immediately. It is worth it if the interest saved over the promotional period exceeds the fee, and not worth it if you do not clear the balance before the promotional rate expires.

A Sequence That Works

Start with a buffer, not a payment. Save one month of essential costs before pouring everything into debt. Without it, one car repair returns you to the starting line.

Then set the fixed monthly total. Take the sum of all current minimums, add everything spare, and pay that total every month. As each minimum falls, direct the difference to the next debt so the total never shrinks.

Choose the order and commit to it. If two debts carry similar rates, clear the smaller one first for momentum. If one rate is dramatically higher, such as 29 percent against 8 percent, take the higher one first regardless of size.

Automate and check. Set payments for the day after payday, so the money moves before it can be spent, and confirm on the statement each month that the principal is falling. Then rebuild the fund to three months before shifting spare money to longer-term saving.

This article is educational only and is not financial advice. Figures vary by country and lender, so check the rules that apply where you live.

Educational guidance only — not financial, legal or credit advice. Nothing here diagnoses, guarantees outcomes or repairs credit. Refunds honoured.
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