Scenario 1
Personal loan payoff
$15,000 at 8% APR, $300/month → 63 months, $3,900 in interest total.
Know exactly when you'll be debt-free — and how much extra payments save you.
Results update instantly as you type or drag.
Quick insights
Total interest paid
$3,600
Total paid
$18,600
Quick answer
Months = −ln(1 − Balance×rate/Payment) ÷ ln(1+rate), where rate = APR/12/100. This works for any fixed-rate debt.
How it works
A quick walkthrough of what this calculator does behind the scenes.
Enter your total debt balance.
Enter the annual interest rate.
Enter your planned monthly payment.
See months to payoff and total interest.
Formula
No black box — here's exactly how the result is computed.
r = Annual rate ÷ 12 ÷ 100
Months = −ln(1 − Balance×r / Payment) ÷ ln(1+r)
Total interest = Payment × Months − BalanceExamples
See how the numbers play out for typical use cases.
Scenario 1
$15,000 at 8% APR, $300/month → 63 months, $3,900 in interest total.
Scenario 2
$15,000 at 8% APR, $400/month → 44 months, $2,600 in interest — saves 19 months and $1,300.
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