Contents
How the loan calculator works
Enter the amount borrowed, the number of months and the nominal annual rate. The calculator shows the payment, total interest and total repaid for fixed or declining installments.
Fixed and declining payment plans
A fixed-payment plan keeps the principal-and-interest installment nearly constant. Early payments contain more interest; later ones repay more principal, which is the usual pattern of an amortizing loan described by the Consumer Financial Protection Bureau.
Here P is the amount borrowed, r is the annual rate divided by 12 and 100, and n is the number of months. A declining plan repays an equal share of principal each month, so its first payment is the largest.
Three comparisons worth making
- 10,000 at 10% for 36 months: the fixed payment is 322.67, with 1,616.20 of interest.
- The same loan with declining payments: the first payment is 361.11, the last 280.01, and interest totals 1,541.65.
- 12,000 at 0% for 12 months: each payment is 1,000 and the total remains 12,000.
- 25,000 at 8%: 36 months costs 3,202.75 in interest, while 60 months lowers the payment but raises interest to 5,414.62.
What the estimate leaves out
The calculation assumes a fixed rate, equal monthly periods and payments at the end of each period. It rounds each month to two decimal places and adjusts the final payment to clear the balance.
Fees, insurance, taxes, changing rates, day-count conventions and early repayments are not included. A quoted APR may include fees that the nominal interest rate alone does not.
Questions about loan payments
Which rate should I enter?
Enter the nominal annual interest rate used to calculate periodic interest, not a broader APR that includes fees.
Why can the last fixed payment differ slightly?
Monthly interest is rounded to two decimal places, so the final payment is adjusted to reduce the remaining principal to zero.
Does the calculator include loan fees?
No. Add origination fees, insurance and other required charges separately.
Why do declining payments usually produce less interest?
Principal falls faster from the beginning, leaving a smaller balance on which later interest is charged.
Can I calculate a zero-interest installment plan?
Yes. Enter 0% and the amount is divided across the selected number of months.
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