Loans & Debt

Loan Payoff Time Calculator

Enter a balance, an interest rate and a monthly payment to see when you will be debt-free.

Your numbers

Symbol only: enter amounts in the currency you pick.
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%
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Your results

Months to pay off
Months to pay off
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Years
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Total interest (approx.)
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Total paid (approx.)
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Loan Payoff Time Calculator by TheCalcTools

How the Loan Payoff Time Calculator works

Enter the current balance, the annual interest rate and the amount you pay each month.

Each month interest is added to the balance, then your payment is subtracted.

The calculator solves for the number of payments with the annuity formula.

The formula

n = −ln(1 − B × r ÷ P) ÷ ln(1 + r)r = APR ÷ 12

Worked example

Using the default values shown in the calculator:

Balance$10000
Interest rate (APR %)12 %
Monthly payment$300
  1. Monthly rate = 12% ÷ 12 = 1%.
  2. n = −ln(1 − 10,000 × 0.01 ÷ 300) ÷ ln(1.01) = 40.7 months (3.40 years).
  3. Interest paid ≈ $2,225.

Result:

Months to pay off40.7
Years3.40
Total interest (approx.)$2,225
Total paid (approx.)$12,225

Frequently asked questions

Why does the calculator say the payment is not enough?

If the payment is no larger than the first month’s interest, the balance never falls. Increase the payment.

Are the totals exact?

They are close approximations. The last payment is usually smaller than the others, which the fractional month reflects.

Sources and further reading

More in Loans & Debt · All calculators

This calculator gives estimates for information only. It is not financial advice, and your lender's or provider's figures will govern. Rates, fees and rules vary. See our disclaimer.