Loan Payment Amount: Calculate Your Monthly Payment

The loan payment amount is the scheduled amount you pay each period to repay borrowed principal and interest; this calculator estimates a fixed-rate monthly payment from the loan amount, APR, and term. Enter those three figures to see the monthly payment and the total interest implied by the rounded monthly payment.

Formula

For a fixed-rate loan with equal monthly payments, the payment is calculated as:

Payment = P × r ÷ [1 − (1 + r)−n]

• P is the amount borrowed, in dollars.
• r is the monthly interest rate as a decimal: annual APR divided by 12 and by 100.
• n is the number of monthly payments: the term in years multiplied by 12.

The calculator rounds the payment to the nearest cent. Its total-interest estimate is the rounded monthly payment multiplied by the number of payments, minus the original principal: Interest = monthly payment × n − P. Because actual loan schedules may adjust the final payment, this is a formula-based estimate rather than a lender payoff quote.

Worked Example

Using the calculator’s defaults, the principal is $20,000, APR is 8%, and term is 5 years.

1. Convert APR to a monthly decimal rate: r = 8 ÷ 1200 = 0.0066667.
2. Convert the term to payments: n = 5 × 12 = 60.
3. Substitute the values: Payment = 20,000 × 0.0066667 ÷ [1 − (1.0066667)−60].
4. Round the result to cents: the estimated monthly payment is $405.53.
5. Calculate interest using that rounded payment: $405.53 × 60 − $20,000 = $4,331.80.

The total of the 60 rounded payments is $24,331.80, including the $20,000 principal and an estimated $4,331.80 in interest.

Assumptions

• The interest rate remains fixed for the full term.
• Payments are equal, made monthly, and paid at the end of each period.
• Interest compounds monthly at APR divided by 12.
• The estimate excludes fees, taxes, insurance, PMI, and escrow; none of these are included as calculator inputs.

How to Read the Payment Amount

The monthly payment is the recurring amount needed under the formula to repay principal and interest over the stated term. Early in a typical amortizing schedule, a larger share of each payment goes toward interest because interest is calculated on the remaining balance. As the balance falls, the interest portion generally declines and more of each payment reduces principal.

Total interest is the estimated cost of borrowing under the stated rate and schedule, separate from repayment of the amount borrowed. It is not the same as the total amount paid: add principal to interest to get that total. The calculator presents monthly payment first because that is the quantity asked for, but comparing only monthly amounts can be misleading. A longer term can lower a scheduled payment while increasing the number of payments and potentially the interest total.

What Changes a Loan Payment?

• Principal: A larger amount borrowed generally produces a larger payment when rate and term stay unchanged.
• APR: A higher entered rate raises the payment and, in many cases, the total interest. APR conventions and included charges can differ, so use the rate and loan figures supplied for the specific offer.
• Term: Spreading repayment across more months generally reduces the amount due each month, but interest accrues for more periods.
• Payment frequency and timing: This calculator assumes monthly payments at period-end. A different schedule or payment timing changes the calculation.

For example, an advertised payment may not match this estimate if it assumes a different amount financed, term, rate, payment date, or included charges. The actual figures to enter should come from the lender’s disclosure or offer documents; the calculator does not look up rates or fees.

Common Limits and Mistakes

Enter the amount actually financed, not necessarily the purchase price or an initial quote. If an amount is added to the loan balance, it affects the payment as part of principal. Check that APR is entered as a percentage per year—for example, enter 8 for 8%, not 0.08. The calculator converts that number to a monthly rate internally.

This formula describes a conventional amortizing loan with a fixed rate and level monthly payments. It does not model variable rates, interest-only periods, balloon payments, skipped payments, extra principal payments, or a changing payment schedule. It also does not determine how a lender defines APR or which charges are included in a quoted figure. Rounding each scheduled payment to cents can make the final payment differ slightly from the others, so a lender’s payment schedule may not match the estimated interest exactly.

A payment estimate alone does not establish eligibility, approval, affordability, or the full cost of a loan. Use the actual loan terms and account for any costs omitted from the calculation when reviewing a payment obligation.

Frequently Asked Questions

How do I calculate a monthly loan payment?
Use the fixed-payment formula with the principal, monthly interest rate, and number of monthly payments. The calculator converts APR to a monthly rate and the term in years to months.

Does the monthly payment include interest?
Yes. Under this formula each scheduled payment covers interest due for that period and repayment of some principal. It does not include separate costs such as insurance or escrow.

Why is my lender’s payment different?
Possible causes include a different financed amount, APR, term, payment timing, fees, or rounding method. A variable rate or nonstandard repayment structure also falls outside this estimate.

Does a longer loan term lower the payment?
With the same principal and rate, extending the term generally spreads repayment over more installments and lowers each scheduled payment. It also means making payments for longer, and total interest may be higher.

Is APR the same as the interest rate?
Not necessarily. APR is an annual percentage measure that can reflect more than the interest rate depending on how it is calculated. This calculator treats the entered APR as the annual rate used in the monthly payment formula; it does not separately model fees.

This result is an estimate, and the lender’s disclosure gives the exact figures.

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in p | Loan amount | $ | 20000 | 1 | 100000000
in apr | Interest rate (APR) | % | 8 | 0.01 | 100
in yrs | Loan term | years | 5 | 0.0833 | 50
out pmt | Monthly payment | $ | round(p * (apr / 1200) / (1 - (1 + apr / 1200) ^ -(yrs * 12)), 2) | 2
out int | Total interest | $ | pmt * yrs * 12 - p | 2