How It Works
The minimum payment is recalculated each month as a percent of the shrinking balance, with a dollar floor.
Each month: interest = balance x APR/12; payment = max(balance x min%, floor); balance += interest - payment.
- Because the minimum falls as the balance falls, payoff stretches out for many years.
- Total interest is the sum of all monthly interest charges.
Worked Example
$5,000 balance at 22% APR, a 2% minimum with a $25 floor, and no new purchases.
With a low 2% minimum that shrinks as the balance falls, paying only the minimum on a $5,000 balance at 22% can take decades and cost many times the original balance in interest. The very long timeline comes from the minimum dropping each month, so less and less goes to principal. Paying a fixed higher amount instead dramatically shortens this.
Why the Minimum Payment Is Designed to Keep You in Debt
The percentage minimum is built to defeat itself
A percentage-based minimum carries a self-defeating mechanism: it is a slice of the current balance, so the moment the balance drops, the required payment drops with it. On the defaults, the first minimum on $5,000 is $100 (2% of the balance) — but as the balance falls to $4,000, the minimum falls to $80; at $2,000 it is just $40. The payment shrinks in lockstep with your progress, so the principal reduction decelerates exactly when you most need it to keep moving.
That single design choice is why this $5,000 balance at 22% takes about 968 months — roughly 80 years — to clear on minimums alone. It is not a rounding quirk or an edge case; it is the predictable result of tying the payment to a balance that is meant to be falling. A fixed-payment loan retires debt because the payment stays put while the balance drops; a percentage minimum stalls because the payment chases the balance down.
Early on, the minimum is almost entirely interest
At 22% APR the monthly interest rate is about 1.83%, so in the first month the $5,000 balance accrues roughly $92 in interest. Against a $100 minimum, that leaves about $8 to actually reduce what you owe — over 90 cents of every dollar paid is rent on the money, not repayment. This is the mechanism behind the headline result: with so little reaching principal, the balance barely moves, and because the payment then shrinks as the (barely-reduced) balance shrinks, the trickle to principal gets thinner still.
The cumulative cost is the part that genuinely shocks. Total interest on this balance comes to about $43,419 — more than eight times the $5,000 borrowed — for a total outlay near $48,419. The balance-versus-interest chart puts the borrowed amount next to that interest bar precisely because the gap is the entire argument: paying the minimum does not slowly retire a $5,000 debt, it slowly purchases a $43,000 stream of interest.
A fixed payment is the lever that breaks the cycle
The fix follows directly from the cause. Because the trap is a payment that falls as the balance falls, the escape is a payment that does not move. Commit to a fixed dollar amount — say $150 or $200 a month, held flat regardless of what the statement’s minimum drops to — and the math inverts: as the balance falls, the interest portion shrinks while your fixed payment stays the same, so an ever-larger share lands on principal and the payoff accelerates instead of stalling. The same $5,000 that takes 80 years on the shrinking minimum clears in a few years on a steady payment a little above where the minimum started.
With several cards, the same fixed-payment principle scales two ways. The avalanche method directs every spare dollar at the highest-APR balance first to minimize total interest; the snowball method clears the smallest balance first for psychological momentum. Both work for the same underlying reason — they replace a self-shrinking minimum with a deliberate, steady attack — and either beats minimum-only repayment by a wide margin.
What the model assumes, and where real cards differ
The result holds only under one critical assumption: no new purchases. Adding charges while paying the minimum can keep the balance flat or rising forever, because the payment is already barely outrunning the interest — a few new purchases a month and the balance never falls at all. This is why minimum-only repayment and continued spending together are how balances become permanent.
Two mechanical notes on the floor and the formula. The $25 floor is the smallest dollar minimum the card accepts; it does not bind here because 2% of $5,000 is $100, well above $25, but on a small balance the floor takes over and actually speeds the final stretch by holding the payment up as the percentage would otherwise collapse. And issuers compute minimums differently — some use a flat percentage, others a percentage plus that month’s interest, with varying floors — so treat this as a realistic estimate built on a common formula and check your cardholder agreement for the exact terms. The point of the number is not precision to the month; it is the wake-up call.
Sources & References
Figures on this page are checked against primary, authoritative sources. Links open in a new tab.