π³ Payment
Payment Calculator
Find out exactly what a loan or mortgage costs you each month, how much interest you will pay in total and when it will be cleared. Press Calculate.
How the instalment is calculated
This is a standard fixed-rate amortising loan. Interest accrues on the outstanding balance and the instalment stays the same, so early payments are mostly interest while later payments are mostly principal.
Payment = P Γ i Γ· (1 β (1 + i)βn) where i is the periodic rate and n the number of payments.
- More frequent payments reduce total interest
- A longer term lowers the instalment but raises total interest
- Fees are added to the loan amount and therefore also attract interest
Worked example
Borrowing 15,000 at 7% over 3 years gives a monthly payment of about 463. Over the term you repay roughly 16,670, so the interest is about 1,670. Stretching the same loan to 5 years lowers the payment but raises the total interest.
Everyday uses
- Budgeting a fixed monthly instalment
- Comparing offers from different lenders
- Checking what you can comfortably afford
- Seeing the cost of a longer term
- Planning a car, personal or mortgage loan
Frequently asked questions
More worked examples
- A 20,000 loan over five years at 6 percent costs 386.66 a month.
- Repaying that over 60 months totals 23,199, of which 3,199 is interest.
- At 4 percent instead, the same loan costs 368.33 a month, saving about 1,100 over the term.
- A zero percent loan is simply the amount divided by the number of months.
20,000 over five years
| Annual rate | Monthly payment |
|---|---|
| 4% | 368.33 |
| 5% | 377.42 |
| 6% | 386.66 |
| 8% | 405.53 |
| 10% | 424.94 |
Common mistakes to avoid
- Forgetting that a headline rate is annual while the payment is monthly, so the periodic rate is the annual one divided by twelve.
- Ignoring arrangement fees, insurance and early repayment charges, all of which change the true cost.
- Assuming overpayments are always allowed. Many fixed-rate loans cap them or charge a penalty.
- Choosing a longer term purely for the lower monthly payment, without checking the much larger total interest.
Further questions
Assumptions and sources
This is a fixed-rate amortising loan: interest is charged on the outstanding balance and the instalment stays level. The result excludes arrangement fees, insurance, taxes and early-repayment penalties, and it assumes the rate does not change.
- Consumer Financial Protection Bureau β Mortgage tools and resources
- Consumer Financial Protection Bureau β Auto loan tools