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Payment Calculator

Find the monthly payment for a fixed loan term, or find how long it takes to pay off a loan with a fixed payment.

$
years
months
%

Annual rate. 0% is allowed.

Monthly pay

$1,581.59

Total of 180 payments
$284,685.71
Total interest
$84,685.71
Loan amount
$200,000.00
Principal vs. interest
  • Principal 70.3%
  • Interest 29.7%
Remaining balance over time
015y200K

Results are estimates and not financial advice.

Amortization schedule

Loan yearInterestPrincipalEnding balance
Year 1$9,791.31$9,187.77$190,812.23
Year 2$9,321.28$9,657.80$181,154.43
Year 3$8,827.17$10,151.91$171,002.52
Year 4$8,307.78$10,671.30$160,331.22
Year 5$7,761.83$11,217.25$149,113.97
Year 6$7,187.92$11,791.16$137,322.81
Year 7$6,584.67$12,394.41$124,928.40
Year 8$5,950.55$13,028.53$111,899.87
Year 9$5,283.97$13,695.11$98,204.76
Year 10$4,583.31$14,395.77$83,808.99
Year 11$3,846.79$15,132.29$68,676.70
Year 12$3,072.61$15,906.47$52,770.23
Year 13$2,258.79$16,720.29$36,049.94
Year 14$1,403.35$17,575.73$18,474.21
Year 15$504.15$18,474.21$0.00

About the payment calculator

Use the Fixed Term tab when you know how long you want to borrow: it returns the monthly payment needed to finish on time. Use the Fixed Payment tab when you know what you can afford each month: it returns how long the loan will last and how much interest you will pay.

In fixed payment mode the payment must be larger than the first month’s interest, otherwise the balance would never go down. The calculator tells you when that happens.

Formula

  • Fixed term: M = L × r ÷ (1 − (1 + r)^−n)
  • Fixed payment: n = −ln(1 − L × r ÷ M) ÷ ln(1 + r)
  • r = annual rate ÷ 12; L = loan amount

Example

A $200,000 loan at 5% over 15 years needs $1,581.59 a month. Paying a fixed $2,000 a month instead clears the same loan in 130 months (10 years and 10 months).