Pay it down or put it away? The arithmetic is clearer than the argument
What a balance carried alongside savings actually costs, why paying down is the only return that is fixed in…
$736 per year
Enter your balance, interest rate and monthly payment to calculate your debt payoff time, total interest and the effect of paying more.
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At this payment you never get out of this debt. The interest alone is more than you pay. The balance grows every month rather than shrinking, and the statement still looks like progress.
| Outstanding | $3,000 |
|---|---|
| Interest in the first month alone | $55 |
| Your payment per month | $0 |
Assumptions behind this calculation
The annual rate is turned into a monthly rate: read as an APR and divided by twelve. Then the balance is worked month by month in whole cents: interest on the open balance first, the payment off second, until nothing is left.
Counted are the months until payoff, the total paid and the interest in it. If the payment is no higher than the first month’s interest, the debt is never paid off, and the calculator says so. An extra amount runs as a second calculation with the higher payment.
The reasoning behind these numbers, with sources, is in the article: Pay Off Debt or Save? Compare Interest Rates.
With this calculator’s defaults – $2,000 owed, 12 percent APR, $100 a month – you are out after 23 months and pay $2,243 in total, $243 of it interest.
The rate you enter is read as a nominal APR and divided by twelve, the way a card statement builds its periodic rate. Taking the twelfth root instead would understate the very number this is about. Calculated month by month in whole cents: interest on first, payment off second. That is the order a bank posts in, and it is the order you can check.
If the payment is no higher than the first month’s interest – $20.00 in the example –, the debt is never paid off: the balance grows every month. The calculator then says so instead of inventing a payoff date.
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