Use this free loan payment calculator to estimate the monthly payment,
total amount paid, and total interest for a fixed-rate loan.
How the Loan Payment Calculator Works
The calculator estimates payments for a standard fixed-rate installment
loan. Your monthly payment is calculated using the loan amount, interest
rate, and repayment period.
Loan Payment Formula
The standard monthly payment formula is:
M = P × [r(1 + r)n] ÷ [(1 + r)n − 1]
Where M is the monthly payment,
P is the loan principal,
r is the monthly interest rate, and
n is the total number of monthly payments.
Example
For example, a $25,000 loan at a 6.5% annual interest rate for 5 years
requires 60 monthly payments. The calculator estimates the monthly
payment as well as the total amount and interest paid over the life of
the loan.
What Is Included?
This calculator estimates principal and interest for a fixed-rate loan.
Actual lender payments may differ because of fees, insurance, taxes,
origination charges, late fees, or other costs.
Why Loan Term Matters
A longer loan term generally lowers the monthly payment but may increase
the total interest paid. A shorter term generally results in a higher
monthly payment but can reduce total interest.
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Understanding Loan Payments
A loan allows you to borrow money and repay it
over an agreed period. Your monthly payment
depends on the loan amount, interest rate,
repayment term, and loan structure.
How Are Monthly Loan Payments Calculated?
For a standard fixed-rate, fully amortizing loan
with equal monthly payments, the formula is:
M = P × [r(1+r)^n] / [(1+r)^n - 1]
M = monthly payment; P = original loan principal;
r = monthly interest rate (annual rate divided
by 12); n = total number of monthly payments.
When the interest rate is zero, M = P / n.
Worked Example
Suppose you borrow $20,000 at a fixed annual
interest rate of 8% for five years.
Your estimated monthly principal and interest
payment is $405.53.
Over 60 payments, you would repay approximately
$24,331.67, including $4,331.67 in interest.
These estimates exclude fees and other charges.
How Loan Terms Affect Payments
A longer repayment term generally reduces
monthly payments but increases total interest
when other loan terms remain unchanged.
A shorter term generally increases monthly
payments but reduces total interest.
Interest Rate vs. APR
The interest rate describes the cost of borrowing
the principal. Annual Percentage Rate (APR)
may also reflect certain lender fees and other
finance charges. Comparing APRs can help
evaluate loan offers.
Frequently Asked Questions
Can I pay off a loan early?
Many loans permit early repayment. Check your
agreement for prepayment penalties or restrictions.
Does a lower interest rate reduce payments?
Generally, yes. With the same principal and
repayment term, a lower fixed interest rate
produces a lower monthly payment.
Does this calculation include loan fees?
The standard formula calculates principal and
interest only. Origination fees, insurance,
and other charges may increase borrowing costs.
Educational estimates only. Actual loan terms
and repayment amounts may differ.