What this result means
This calculator estimates the equal monthly principal-and-interest payment required to repay a fixed-rate loan over a chosen term. The results panel explains the main number and the quantities that produced it, so you can check whether the estimate answers your real question.
Formula used
M = P × r(1 + r)ⁿ ÷ ((1 + r)ⁿ − 1), where P is principal, r is the monthly interest rate, and n is the number of monthly payments.
Step-by-step calculation
- Validate every required value and reject values outside the stated field limits.
- Convert rates and time periods to the units required by the formula.
- Calculate with full JavaScript number precision; do not round intermediate values.
- Round only the displayed result and explain the practical meaning.
Worked example
For a $20,000 loan at 6% annual interest over 5 years, the monthly rate is 0.5% and there are 60 payments. The estimated payment is $386.66, total payments are $23,199.36, and total interest is $3,199.36.
Assumptions and limitations
- The interest rate stays fixed for the full term.
- Payments are made monthly and on time.
- Fees, insurance, taxes, penalties, and optional products are excluded.
How to use this calculator
- Choose a currency symbol when the tool uses money.
- Enter values in the units shown beside each field.
- Select Calculate, then read both the main result and interpretation.
- Change one uncertain input at a time to understand sensitivity.
- Use Copy result or Share only when you choose to move the result outside this page.
Common mistakes
- Entering a monthly rate where the form asks for an annual rate.
- Comparing payment amounts without comparing fees and total cost.
- Assuming this estimate is a lender quote or approval.
Frequently asked questions
Does this include loan fees?
No. Add lender fees and other charges separately when comparing real offers.
What happens at 0% interest?
The principal is divided evenly by the number of monthly payments.
Why can a lender quote differ?
A lender may use different timing, fees, insurance, taxes, rounding rules, or loan features.
Related calculators and guides
Methodology and sources
See the site-wide calculation methodology and editorial standards. Formula errors can be reported through the error-reporting instructions.