Debt payoff calculator: snowball vs avalanche

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Snowball or avalanche: the cost

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Buzz Money Coach provides money coaching, not regulated financial advice. This calculator is a guidance tool. It does not make a recommendation about any financial product and cannot take account of your full circumstances. Buzz Accounting Ltd is not authorised by the FCA. Where a decision needs regulated advice we say so, and can introduce you to Equity & General (FCA No. 474163) — optional, with no obligation.

The maths, shown in full

What this calculator works out

Both methods pay the minimum on every debt, then put every spare pound towards one debt at a time. They differ in which debt comes first.

The method, in full

The calculator simulates each month. For both methods, it does four things:

  1. Add interest to every outstanding balance.
  2. Pay the minimum on every debt that still has a balance, in the order you entered them, capped at the balance owed.
  3. Send everything left over to the target debt — the highest APR under the avalanche, the smallest balance under the snowball. If that debt clears mid-month, the remainder goes to the next target.
  4. Repeat until every balance is zero, recording the month each debt cleared and the interest each one cost.

Both methods speed up as they go: when a debt clears, its minimum payment joins the spare money going to the next one. A simple ‘total debt divided by monthly payment’ sum misses this.

How the interest is calculated

An APR is an effective annual rate — the rate you would pay over a year with compounding included. So the equivalent monthly rate is not the APR divided by twelve. It is:

The monthly ratemonthly rate = (1 + APR)1/12 − 1
On a 24.9% APR card that is 1.868% a month, not the 2.075% you would get by dividing by twelve. Dividing by twelve overstates the interest and exaggerates the saving.

Interest is applied to the balance at the start of each month, before payments are made. That is slightly conservative — a real card charges daily on the running balance — and it means the answer errs towards showing more interest rather than less.

Assumptions

Choosing a method

If the difference the calculator shows is small, the snowball costs little extra. If the difference is large, the avalanche saves that amount.

Priority debts come before both methods. Missing rent, mortgage, council tax, energy or tax payments can lead to eviction, bailiffs or court. Our guide to clearing debt sets out the priority order in full.

If the numbers do not work

If the calculator tells you your monthly amount is below your minimum payments, or that the debts never clear, the situation needs specialist help. StepChange and National Debtline are free, independent and confidential, they negotiate with creditors on your behalf, and they can arrange formal solutions. Never pay a company to do what those two do for nothing. Coaching can help afterwards, once the immediate pressure is off and the question becomes how to stop it happening again. Our money worries page lists who to call first and what to have ready.

Questions about this calculator

What is the difference between the debt snowball and the debt avalanche?

Both methods pay the minimum on every debt and then put every spare pound at one debt at a time. The avalanche targets the highest interest rate first, which always costs the least overall. The snowball targets the smallest balance first, which clears whole debts sooner and gives you visible wins. Often they agree: with a £400 store card at 29.9% and a £6,000 loan at 7.9%, both start on the store card, because it is at once the smallest and the dearest. They only diverge when your largest debt is also your most expensive one, which is when the choice costs you something. The calculator works out that cost from your own figures.

Is the avalanche always cheaper than the snowball?

Yes, or equal. Directing money at the highest rate first always minimises the total interest, and it also finishes at least as quickly. The two produce identical results when your highest-rate debt also happens to be your smallest balance at every step, or when you only have one debt. On three debts of £500 at 29.9%, £3,000 at 19.9% and £8,000 at 6.9%, both methods start on the £500 card, because it is at once the smallest and the dearest — the gap only opens up once that card is gone and the methods have to choose between the other two. That gap only matters if you stick with the plan: the main reason people pick the snowball anyway is that clearing a whole debt early keeps them going, which the maths behind the avalanche does not measure.

Why do you convert the APR to a monthly rate instead of dividing by twelve?

Because an APR is an effective annual rate that already includes compounding. The correct monthly equivalent is (1 + APR) to the power of one twelfth, minus one. On a 24.9% APR that gives 1.870% a month, whereas dividing by twelve gives 2.075% — a tenth more interest charged every month of the plan. On a 29.9% card the gap is wider still: 2.204% against 2.492%. Dividing by twelve would overstate the interest on every debt in your table, and because it overstates the expensive ones by the most, it would also inflate the apparent saving from choosing the avalanche.

Do minimum payments stay the same as the balance falls?

No, and that is this calculator's main simplification. Credit card minimums are typically set as a percentage of the balance subject to a small cash floor, so they shrink as you pay down: on a 2.5% minimum, £100 a month against a £4,000 balance has fallen to £50 by the time the balance reaches £2,000. Holding the minimum flat is the standard approach for a snowball-versus-avalanche comparison, and because it treats both methods identically the difference between them stays sound. What it does mean is that the payoff dates are a little optimistic against a card where you only ever pay the stated minimum. Enter a lower minimum and run it again if you want the conservative version.

What if I cannot even cover the minimum payments?

Then no payoff method applies, and the calculator says so. Contact StepChange on 0800 138 1111 or National Debtline on 0808 808 4000 today — both are free, independent and confidential, both will deal with creditors on your behalf, and both can arrange formal solutions such as a debt management plan or a Debt Relief Order. If you live in England or Wales, ask them about Breathing Space: a statutory scheme that stops enforcement action and freezes interest and charges on the debts included for up to 60 days while you get advice. Priority debts — rent, mortgage, council tax, energy, tax — come first, because missing those risks eviction, disconnection or bailiffs, not merely interest. Our guide to clearing debt covers the order to work in.

Is this financial advice?

No. Buzz Money Coach provides money coaching, not regulated financial advice. This calculator does arithmetic on the figures you enter and shows its working. It does not recommend a lender, a consolidation loan, a balance transfer card or any other financial product, and it cannot take account of your full circumstances. Buzz Accounting Ltd is not authorised by the FCA. Debt counselling and debt adjusting are regulated activities we do not carry out — for those, use the free specialist services named above.

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