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Snowball vs avalanche: we simulated 2,000 debt payoffs and 17% were identical

Everyone tells you avalanche saves money and snowball keeps you motivated. Almost nobody tells you that for roughly one debt profile in six the two are mathematically the same — a difference of exactly $0.00. Here's how to tell whether you're one of them.

Original simulation by BudgetBee · Published · Method and code published below · 2,000 portfolios simulated

The finding

We ran 2,000 randomly generated but realistic debt portfolios through the same month-by-month simulation that powers our debt payoff calculator, solving each one twice — once with snowball, once with avalanche.

ResultPortfoliosShare
Exactly identical — $0.00 difference34117.1%
Within $25 of each other37518.8%
Avalanche wins by $25 or more1,62581.2%

The headline number is not "approximately zero" or "a rounding difference". In those 341 cases the two strategies issue the same payment to the same debt in every single month. The output is byte-for-byte identical. There is no trade-off to agonise over, because there is no trade-off.

Why this matters

The entire snowball-versus-avalanche debate is framed as maths versus psychology — pay less interest, or stay motivated. For one profile in six that framing is simply wrong: you get both. And the check takes about thirty seconds, which is less time than most people spend reading the debate.

What the two methods actually do

Both methods do the same two things every month: pay every minimum, then throw all remaining money at one target debt. When that target clears, its payment rolls into the next one — this is why both are "rollover" methods and why both accelerate over time.

every month, both methods: 1. accrue interest on each balance (balance × APR ÷ 12) 2. pay every minimum 3. send everything left over to ONE target debt 4. when a debt clears, its payment rolls to the next target the ONLY difference is how the target is chosen: snowball → smallest BALANCE first avalanche → highest APR first

Note what this means: your monthly outlay is identical under both methods. You are not paying more under one than the other. You are only changing the order — and therefore how much interest accrues before the balances disappear.

The tie, in full

Here is a completely ordinary set of debts. Nothing has been engineered except that it looks like a lot of real people's situations.

DebtBalanceAPRMinimum
Store card$80026.99%$25
Credit card$3,20022.99%$80
Personal loan$6,50011.50%$150
Car loan$12,0006.90%$280

Budget: $900 a month total. The results:

MethodMonthsTotal interestTotal paid
Snowball28$2,572.81$25,072.81
Avalanche28$2,572.81$25,072.81
Difference0$0.00$0.00

Both methods pay off the debts in the same order — store card, credit card, personal loan, car loan — because for this household, smallest balance first and highest rate first happen to describe the same queue.

Why the tie happens

The mechanism is simple once you see it, and it is the reason the tie is far more common than chance would suggest.

The structural rule

Snowball sorts by balance ascending. Avalanche sorts by APR descending. When those two sorts produce the same sequence, the algorithms are identical and the difference is exactly zero.

That requires your smallest debt to carry your highest rate, your second smallest to carry your second highest, and so on — a perfectly inverse relationship between size and rate.

That sounds like a coincidence. It isn't, because balance and interest rate share a common cause in real life:

So the typical household's debts are already roughly inversely sorted before anyone chooses a method. Snowball and avalanche are not two opposite philosophies fighting over your money — most of the time they are pointing in nearly the same direction, and sometimes in precisely the same direction.

When the choice does cost money

The tie breaks when one debt is both large and expensive. That debt belongs at the front of the avalanche queue and the back of the snowball queue, and the gap between those two positions is where the money goes.

Case 1 — a big balance at the highest rate

Same household as above, but the $11,000 card now carries 24.99% while the store card drops to 9.99%:

MethodMonthsTotal interestPayoff order
Snowball46$10,785.84Store card → Personal loan → Car loan → Credit card
Avalanche43$8,222.85Credit card → Store card → Personal loan → Car loan
Cost of snowball+3 months+$2,562.99The expensive card waits to the very end

Case 2 — the worst realistic case

A $500 medical bill at 0% interest, a $14,000 credit card at 27.99%, and a $9,000 car loan at 5.90%. Budget $800/month. Snowball sends the free debt to the front of the queue:

MethodMonthsTotal interestTotal paid
Snowball44$11,430.15$34,930.15
Avalanche40$7,955.34$31,455.34
Cost of snowball+4 months+$3,474.80+$3,474.80

The pattern to watch for

A 0% or very low-rate debt with a small balance is the single most expensive thing snowball can put first. It costs you nothing to carry, so paying it early buys you no interest saving at all — while your most expensive debt compounds untouched behind it.

If you have a 0% promotional balance or an interest-free medical bill, it is the clearest signal that strict snowball is the wrong default for you.

What it costs across 2,000 portfolios

Aggregating every simulation where the two methods differed:

Extra interest paid under snowballAmount
Median across all portfolios$832.41
90th percentile$3,350.42
Worst case observed$9,458.22

The distribution is heavily skewed, and that skew is the practical point: for most people the choice is cheap or free, and for a minority it is genuinely expensive. A blanket "always use avalanche" is overkill for the majority; a blanket "snowball is fine, motivation matters more" is bad advice for the person about to pay an extra $9,000. Neither general rule substitutes for checking your own four or five numbers.

The 30-second rule

You do not need a simulation to know which case you are in. Write your debts down twice:

list 1: order your debts by BALANCE, smallest first list 2: order your debts by APR, highest first same order? → the methods are identical. Use snowball, free of charge. nearly same? → the difference is small. Use whichever you'll finish. very different? → run the numbers. This is where real money is at stake. the tell: look for one debt that is BOTH large AND high-rate. that single debt is what makes the two lists disagree.

Then confirm it with the debt payoff calculator — it runs both methods on your real numbers and shows the difference in dollars, including telling you when that difference is zero.

The evidence for snowball

When the methods do differ, avalanche wins on arithmetic — that part is not in dispute, and no simulation is needed to prove it. The real question is whether a cheaper plan you abandon beats a costlier plan you finish.

The most cited evidence here is Gal and McShane (2012) in the Journal of Marketing Research. Using real data from a debt settlement firm, they found that the fraction of accounts a person had closed predicted whether they would eliminate their debt — while the dollar balance of those closed accounts did not, once the fraction was controlled for.

What that does and doesn't show

It is evidence that closing whole accounts is associated with going on to succeed — consistent with the small-wins logic behind snowball. It is observational data from one debt settlement population, not a randomised trial telling every household which method to pick.

Read honestly, it supports a modest claim: the motivational effect of clearing accounts is real enough to take seriously, so paying a small premium for it can be rational. It does not support paying any premium for it.

Which brings the two halves together. Find out what the premium is first. If it is $0 — one chance in six — take the motivation for free. If it is $800, it is a defensible price for a plan you will actually finish. If it is $9,000, find your motivation somewhere else.

Method, code and limitations

Every figure on this page comes from the same simulation engine that runs the public calculator, so you can reproduce any of it yourself.

How the simulation works

Month by month: accrue interest on each balance at APR ÷ 12, pay every minimum, apply all remaining budget to the target debt chosen by the strategy, cascade any overflow to the next debt in the queue, and record payoff months. Runs until every balance is cleared. This is the open JavaScript source, unmodified.

How the 2,000 portfolios were generated

Each portfolio has 2–5 debts. Balances are drawn uniformly from $300 to $20,000 and rounded to the nearest $100. APRs are drawn uniformly from 0% to 29.99%. Minimum payments are 2.5% of balance with a $25 floor. The monthly budget is the sum of minimums multiplied by a random factor between 1.2 and 2.5. Seed 20260803, so the run is reproducible.

The limitation that matters most

This is a synthetic population, not US household data. Balances and APRs were drawn independently — but in reality they are negatively correlated, because small debts tend to be the expensive unsecured ones. That correlation is exactly what produces ties.

So 17.1% is most likely an underestimate of how often real households hit an exact tie. We are publishing the number our stated method produced rather than adjusting it upward on an assumption. Treat it as a floor, and check your own numbers — that is what the calculator is for.

Other simplifications

Frequently asked questions

Is the debt snowball or debt avalanche better?

Avalanche is never worse on arithmetic. But in 17.1% of our 2,000 simulated portfolios the two were exactly identical, so the choice was free — in which case take snowball for the motivation. Check which case you're in.

When are snowball and avalanche exactly the same?

When ordering by smallest balance gives the same sequence as ordering by highest APR. Not close — identical, every month. Why that happens.

How much does the snowball actually cost?

Median $832.41 extra interest across our simulations, $3,350.42 at the 90th percentile, $9,458.22 worst observed. Cheap or free for most, expensive for a minority.

Why does the snowball method work if it costs more?

Gal & McShane (2012) found the fraction of accounts closed predicted debt elimination, while the dollar balance of those accounts did not. A method you finish beats a cheaper one you abandon.

What makes the snowball expensive?

One debt that is both large and high-rate — snowball sends it to the back of the queue. The worst pattern is a small 0% debt jumping ahead of a big card: that cost $3,474.80 in our worked case.

Does the payment amount change between methods?

No. Both pay every minimum and send everything left to one target. Your monthly outlay is identical — only the order changes.

Should I switch methods partway through?

You can, and the two orderings tend to converge as balances fall. Clearing one or two small balances for momentum, then switching to strict avalanche, is a reasonable hybrid.

Does this apply to student loans and mortgages?

The arithmetic does, but large low-rate debts sit at the end of both queues anyway. Federal student loans also carry forgiveness and income-driven options that a pure interest calculation ignores.

Sources and further reading

Put it to work

BudgetBee provides free educational tools, not financial advice. Simulation results describe a synthetic population under the stated assumptions and are not a prediction about your finances. Verify important decisions with a qualified professional.