A debt-payoff approach decides where additional repayment goes after the required payments on the included debts have been provided for. Highest-rate-first, often called the debt avalanche, targets the debt with the highest interest rate. Lowest-balance-first, often called the debt snowball, targets the smallest remaining balance. Neither approach means ignoring another creditor’s payment.

The comparison needs a constant total repayment budget, not just a constant extra payment. When a required payment falls or a debt is cleared, keeping the total budget unchanged leaves more money for the remaining debts. That money is being reassigned, not added to the household budget.

An earlier first payoff and an earlier finish are different achievements. Under a controlled fixed-rate comparison, highest-rate-first may save interest while lowest-balance-first clears an account sooner. The first target also need not be the first debt cleared: another small balance may disappear through its required payments.

Real agreements can change the comparison. Arrears, fees, promotional-rate expiries, prepayment restrictions and rules for applying payments within a credit account require separate attention. Visible progress may matter to a household, but motivation is not a guaranteed financial benefit that a calculator can assume.

The useful question is therefore not which label always wins. It is what each allocation rule does with the same money, under the same conditions, and which outcome is being measured.