$1,000 Debt at 6% Paying $1,000/Month: How Long to Pay Off?
$1,000 at 6% APR paying $1,000 per month takes 2 months to pay off, costing $5 in total interest. Total repaid: $1,005.
In month 1, $5 of your $1,000 payment goes to interest and $995 goes to principal. As the balance shrinks, the principal share grows each month.
The numbers
What if you paid more each month?
Even small increases in monthly payments produce outsized savings because the extra dollars go entirely toward principal — they bypass the interest charge completely. Two acceleration scenarios on top of the $1,000 baseline:
The savings from extra payments are modest in this specific scenario because the interest cost is already low. The payoff math becomes much more dramatic at higher APRs (credit cards at 22%+).
Year-by-year amortization
Here is exactly how the $1,000 balance shrinks year by year, with interest and principal portions broken out:
| Year | Year-end balance | Interest this year | Principal this year |
|---|---|---|---|
| 1 | $0 | $5 | $1,000 |
The math
Each month, interest accrues at the daily-equivalent rate (we use APR ÷ 12 for simplicity, which is how most credit cards and personal loans work). For the first month: $1,000 × (6% ÷ 12) = $5 in interest, leaving $995 of your $1,000 payment to reduce principal. The new balance is $5. The next month earns slightly less interest because the balance is smaller, so slightly more goes to principal — and the cycle accelerates as the debt shrinks.
The closed-form formula for months-to-payoff: n = -ln(1 - (r × P) / PMT) / ln(1 + r), where r is the monthly rate (0.00500 here), P is the starting balance, and PMT is the monthly payment. For this scenario: 2 months.
Snowball vs avalanche relevance
If this is one of several debts, the order in which you attack them matters. The snowball method attacks smallest balance first for psychological wins; the avalanche method attacks highest APR first to minimize total interest. At 6% APR, this debt is a lower-priority debt where snowball motivation may matter more than the math. Plug all your debts into our debt snowball calculator to see the optimal sequence.
Frequently asked questions
How long to pay off $1,000 at 6% paying $1,000 per month?
Short answer: 2 months (2 months). You will pay $5 in total interest, for a total repayment of $1,005 on the original $1,000. The math: n = -ln(1 - (r × P) / PMT) / ln(1 + r) where r = 0.00500, P = 1000, PMT = 1000.
What if I pay an extra $50 per month?
Short answer: Payoff drops to 1 months, saving $0 in interest. Every extra dollar goes entirely to principal, which is why even small increases produce large total savings — you avoid all the interest that principal would have generated for the rest of the loan.
What if I pay an extra $100 per month?
Short answer: Payoff drops to 1 months, saving $0 in interest. At 6% APR, every $100 of accelerated payment earns the equivalent of the APR in interest saved — a guaranteed return that beats almost any plausible investment.
Should I pay this off before investing?
Short answer: Not necessarily. At 6% APR, this debt is below the typical equity expected return (~7% real). Paying the minimum and investing the difference is mathematically defensible, especially for tax-advantaged accounts. Always capture employer 401(k) match first regardless. Read our pillar guide: Pay Off Debt or Invest?
Our debt snowball calculator handles any number of debts and shows when each one disappears.
Open the debt snowball calculator →Educational content only. Not investment, tax, or legal advice. See our disclaimer, sources, and editorial standards. Calculations use standard amortization math (APR ÷ 12 monthly compounding); some lenders use daily accrual which produces slightly different totals.