Why it wins, stated as the thing that actually determines the margin. Hold the total monthly payment fixed. Every dollar you move from a lower-rate balance to a higher-rate one saves the difference between those two rates for every month it stays there, and it saves nothing else. That makes the size of the avalanche's advantage the product of two figures and only two. The first is the spread between the rates involved. The second is how long the expensive balance would otherwise have sat, which is roughly how long the cheaper targets ahead of it take to clear. Where the spread is wide and the cheap balances are large, the gap is substantial. Where the rates are clustered inside a few points, the two orderings converge and the choice is mostly about which plan gets finished. Neither the number of debts nor their size enters into it except through those two terms.
The honest cost of the method, and it is not the usual point about motivation. The snowball orders by a figure that moves in one direction only. A balance you are attacking falls, and it does not spontaneously rise. The avalanche orders by a figure that can move either way, and Regulation Z contemplates three distinct ways it can. A temporary promotional rate ends on a date fixed in advance, and the rate that follows was disclosed when the promotion started (12 CFR 1026.55(b)(1)). A variable rate moves whenever its index moves, which is expressly permitted (1026.55(b)(2)). And an issuer may raise the rate on future transactions after 45 days' advance written notice (1026.55(b)(3)), subject to a protection worth knowing on its own: that route is unavailable during the first year after the account is opened. The consequence is operational. A rate-ordered plan is a plan that has to be redrawn whenever a rate moves or a promotion lapses, and a borrower who set the order once and stopped looking may be attacking what used to be the expensive balance.
Order by the annual percentage rate, and be careful comparing across kinds of credit. What the APR captures depends on the type of credit. On a closed-end loan it folds in certain financing costs beyond interest, while on a credit card it is essentially the annualized interest rate and does not reflect an annual fee. So a card APR and an installment-loan APR are not constructed the same way, and ranking them against each other on the printed figure alone can put them in the wrong order. Where interest on a debt is deductible the ranking figure is the after-tax rate rather than the nominal one, which currently reaches acquisition-debt mortgage interest under IRC 163(h)(3), student loan interest under IRC 221, and, for tax years 2025 through 2028, qualifying car loan interest under IRC 163(h)(4). A deduction someone cannot use because they do not itemize changes nothing, so this matters only where the deduction is actually claimed.
Three debts where the rate is the wrong ranking variable. A deferred-interest balance, the kind advertised as no interest if paid in full within a set number of months, is not priced by a rate you can rank at all. Interest is accruing throughout and is waived only if the whole balance clears in time, so what governs is a deadline, and missing it charges the accumulated interest retroactively to the purchase date. That balance belongs at the front of the queue regardless of the rate printed on the offer. A federal student loan being carried toward cancellation under an income-driven plan can be made worse by prepayment, because extra payments reduce the amount eventually canceled rather than saving interest. And a secured debt carries a consequence of default that its rate does not express: the lender can take the collateral. A car loan at a single-digit rate sits at the bottom of a rate-ordered list and at the top of the list of things whose non-payment removes your way of getting to work.
What the research says, which is narrower than the comparison it is usually cited in. The paper cited on both sides of the snowball-versus-avalanche argument is Kettle, Trudel, Blanchard and Häubl's "Repayment Concentration and Consumer Motivation to Get Out of Debt," in the Journal of Consumer Research 43(3) in 2016, and its subject is repayment concentration. The finding is that concentrating repayment on one account rather than dispersing extra money across several increases motivation to keep repaying, most strongly when the target is the smallest balance. Both named methods are concentrated, so the finding chiefly argues against the intuitive third option of paying a little extra on everything. It does not establish that either named ordering beats the other. A pair of six-month adherence percentages circulates in side-by-side comparisons and is attributed to that paper, which reports no adherence rates of that kind, so it is not repeated here.
One place the law already runs the avalanche for you. Where the debts are separate balances on a single credit card, at different rates, the ordering is not yours to choose. 12 CFR 1026.53(a) provides that when a consumer pays more than the required minimum on a credit card account, the issuer must allocate the excess "first to the balance with the highest annual percentage rate and any remaining portion to the other balances in descending order based on the applicable annual percentage rate." There is one significant exception, and it is the deferred-interest case above: under 1026.53(b)(1)(i), during the two billing cycles immediately before a deferred-interest period expires, the excess must go to that balance instead.