Loan Payoff Date Calculator
Calculate exactly when you will be debt-free. Find your payoff month, total interest paid, and how extra payments dramatically shorten the timeline and cut interest.
📅 Debt💰 Time = −log(1−r·B/P) / log(1+r)
Current loan balance ($)
Annual interest rate (%)
Monthly payment ($)
Extra monthly payment ($, optional)
Please enter valid values.
Formula & Reference
| Variable | Formula | Units |
|---|---|---|
| Loan Payoff Date Calculator | Time = −log(1−r·B/P) / log(1+r) | months to payoff |
Step-by-Step Examples
Example 1
Car Loan
$15k at 6%, $300/mo.
- 62 months to payoff (~5 years)
- Add $100 extra: 48 months — 14 months sooner!
✓ 62 months, or 48 with $100 extra
Example 2
Student Loan
$30k at 5%, $300/mo.
- 162 months (13.5 years!)
- Add $200 extra: 87 months — 6+ years saved!
✓ 162 months normally; 87 with $200 extra
Example 3
Credit Card
$5k at 22%, $150/mo minimum.
- 46 months + $1,891 interest
- Pay $250/mo: 26 months, save $836 in interest
✓ $250/mo saves 20 months and $836 interest
Real-World Applications
Debt Paydown
See exactly when debt-free day arrives.
Motivation
A specific payoff date creates powerful motivation.
Refinancing
Compare payoff timelines before and after refinancing.
Lender Talks
Know your exact payoff terms for creditor negotiations.
Common Mistakes to Avoid
⚠️
Paying only minimums on high-interest debt
Minimums on 22% cards barely touch principal. A $5k balance can take 15+ years on minimums.
⚠️
Not calculating extra payment impact first
Even $50 extra on a 5-year loan often saves 6–12 months. Run numbers before committing to a strategy.
⚠️
Ignoring the interest rate hierarchy
Pay highest-rate debt first (avalanche) for maximum interest savings.
Frequently Asked Questions
How is payoff date calculated? ▾
months = −log(1−r×B/P) / log(1+r) where r=monthly rate, B=balance, P=payment. Add result to today.
What if payment barely covers interest? ▾
If monthly payment ≤ balance × monthly rate, you’ll never pay off the loan. Must exceed this floor.
How much do extra payments help? ▾
On a 30-year mortgage, $200 extra often saves 7–8 years and $50k+ in interest.
Debt avalanche vs snowball? ▾
Avalanche (highest rate first): mathematically optimal. Snowball (lowest balance first): motivational. Both work; pick what keeps you going.
Pay off debt vs invest? ▾
If debt rate exceeds expected return (usually credit cards), pay debt first. If below (often mortgages), investing may be better mathematically.