Loan Payoff Time
Calculator
Results
- Months to payoff
- 38.501271
- Years to payoff
- 3.208439
Results
| Months to payoff | 38.501271 |
| Years to payoff | 3.208439 |
formula-map diagram
- Months to payoff
- 38.501271
- Years to payoff
- 3.208439
Formula breakdown
Formula
n = −ln(1 − P × r ÷ PMT) ÷ ln(1 + r)= 38.501271566237
Note
This is a simplified financial model for educational purposes and does not constitute financial advice.
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See all →Frequently asked questions
How does the calculator determine how long it will take to pay off the loan?+
It repeatedly applies your specified payment against the current balance, subtracts the interest accrued on the remaining balance each period, and counts the number of periods needed until the balance reaches zero.
Why does a small increase in monthly payment sometimes cut the payoff time significantly?+
Extra payment amounts go entirely toward principal, which reduces the balance that interest accrues on, compounding the benefit over time, so even modest increases can meaningfully shorten the timeline, particularly on higher-interest loans.
What happens if I enter a payment amount lower than the monthly interest charge?+
The loan can never be paid off, since the balance will grow rather than shrink each period; the calculator should flag this scenario as mathematically impossible under the terms entered.
Does this account for extra one-time lump-sum payments?+
Only if the calculator specifically supports entering an additional lump sum; a standard payoff-time calculation typically assumes a consistent regular payment, so a one-time extra payment would need to be modeled separately or added as an adjustment.
How does the interest rate affect the payoff timeline compared to the payment amount?+
Both matter, but a higher interest rate extends the payoff time by increasing how much of each payment goes to interest rather than principal, meaning two loans with the same payment amount can have very different timelines if their rates differ.