calculate-loan

01 Loan payments

Free Loan Payment Calculator: Estimate Monthly Payments

Calculator No. 01-5086 · Updated · Formula and assumptions shown below

Monthly payment $405.53
Total interest
$4,331.80
= Monthly payment × loan term × 12 − loan amount
Loan amount
$20,000
Input
Interest rate (APR)
8 %
Input
You enter
Loan amount ($), Interest rate (APR) (%), Loan term (years)
You get
Monthly payment ($), Total interest ($)
Rounding
2 dp

Estimate for education, not financial advice. The result follows from the numbers you enter and the formula shown. It is not a quote or an offer, and it does not include fees, taxes or insurance unless the calculator asks for them. Ask your lender for the exact figures.

Yes. A free loan payment calculator can estimate a fixed-rate loan’s monthly payment and total interest from the amount borrowed, annual percentage rate (APR), and term. Enter those three figures below to see an estimate based on equal monthly payments; the calculation does not include fees or other loan costs.

Formula

The calculator uses the standard fixed-payment loan formula. It first finds the monthly payment, rounds that payment to the nearest cent, and then estimates total interest using the rounded payment:

Monthly payment = round[P × r ÷ (1 − (1 + r)−n), 2]

Total interest = monthly payment × n − P

  • P is the amount borrowed, in dollars.
  • APR is the annual percentage rate entered as a percentage, such as 8 for 8%.
  • r is the monthly rate, calculated as APR ÷ 1,200. For 8% APR, that is 0.0066667 per month.
  • n is the term in months: years × 12.
  • The monthly payment and total interest are shown in dollars and rounded to cents.

For a zero-interest loan, the payment is simply the principal divided by the number of payments. This calculator requires APR to be at least 0.01%, so its displayed formula can divide by a positive monthly rate.

Worked Example

Using the calculator’s default inputs—$20,000 borrowed, 8% APR, and 5 years—the term is 5 × 12 = 60 monthly payments and the monthly rate is 8 ÷ 1,200 = 0.0066667.

Monthly payment = round[20,000 × 0.0066667 ÷ (1 − (1 + 0.0066667)−60), 2] = $405.53.

Total paid using the rounded payment = $405.53 × 60 = $24,331.80. Total interest = $24,331.80 − $20,000 = $4,331.80.

Assumptions

  • The APR stays fixed for the full loan term.
  • Payments are equal, made monthly, and assumed to be on schedule.
  • Interest is modelled monthly at APR ÷ 12, with no additional compounding conventions.
  • The estimate excludes fees, taxes, insurance, PMI, escrow, and other costs because they are not inputs.

How to Use the Estimate

Enter the amount you expect to borrow, not necessarily the purchase price. If you are financing a purchase with a deposit or down payment, the principal is generally the amount financed after that contribution and any financed charges are accounted for. Enter the APR and term shown in the lender’s information or loan disclosure; do not substitute a rate you have seen elsewhere. Actual rates, fees, and loan terms depend on the individual offer, so obtain the figures directly from the lender.

The first result, monthly payment, is the modelled principal-and-interest payment. The second, total interest, is the interest implied by making that rounded payment for every month of the entered term. It does not include the principal itself. Adding the principal to total interest gives the estimated total of the scheduled payments under these assumptions.

For example, changing the term while keeping the same principal and APR changes both the payment schedule and total interest. A longer term spreads repayment over more months; a shorter term concentrates repayment into fewer months. Treat these as arithmetic effects, not a recommendation about which term or loan to choose.

What a Free Calculator Can and Cannot Show

A basic calculator is useful for checking payment arithmetic, comparing hypothetical inputs on a consistent basis, and understanding how term and APR enter the formula. It is not a lender quote, approval decision, or complete cost-of-borrowing disclosure. A real loan may use a different payment schedule, variable rate, rounding convention, or calculation method, and its disclosure may include charges absent here.

“Free” describes access to the calculation, not the loan. The calculator does not charge a fee for producing the estimate, but it cannot determine what a particular lender will offer or what additional costs apply. Confirm that a calculator identifies its inputs, formula, and exclusions; a result without those details may be difficult to interpret.

Common Errors and Limits

  • Entering a percent incorrectly: Type 8 for 8% APR, not 0.08. The calculator converts the percentage to a monthly decimal rate.
  • Confusing APR with the monthly rate: Enter the annual APR. The formula divides by 1,200 to obtain a monthly rate.
  • Using years as months: The term field is in years, and the calculation multiplies it by 12. Entering 60 for a five-year term would mean 60 years.
  • Assuming every payment is identical: The formula represents a fixed rate and equal monthly payments. It does not model variable rates, skipped payments, late charges, or extra principal payments.
  • Expecting the result to match a statement exactly: The lender’s payment dates, rounding, fees, and contract terms can produce different figures. Small differences may also arise from rounding the payment to cents.

The calculation is not suitable as a complete estimate for loans with changing rates, irregular payments, interest-only periods, balloon payments, or a payment frequency other than monthly. For those cases, use the actual schedule or a calculator designed for the specific terms. The result is an estimate; the lender’s disclosure gives the exact figures.

Frequently Asked Questions

Is a loan payment calculator free?
Many online payment calculators are available without a charge to use. A free estimate is not a loan offer and does not establish the fees or terms a lender will apply.

What information do I need to calculate a monthly loan payment?
For this fixed-payment estimate, enter the principal, annual APR, and loan term in years. Use the figures in the lender’s offer or disclosure when you want to approximate a specific loan.

Does the monthly payment include interest?
Yes. The result combines repayment of principal and interest under the fixed-rate, equal-payment formula. It excludes other possible charges, such as fees, insurance, or taxes.

Why is my lender’s payment different from the calculator?
The calculator excludes costs that are not inputs and assumes fixed monthly payments. The lender’s amount may reflect fees, a different schedule, rate changes, timing, or contract-specific rounding.

Does total interest include the amount borrowed?
No. Total interest is separate from principal. In this estimate, adding the entered loan amount to total interest gives the total of the calculated scheduled payments.

Related

Formula used
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

Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work

Method: the standard loan formula for this calculation, fixed rate and monthly compounding unless stated, rounded as each result states. Not financial advice; no lender, rate or product is recommended. See formulas and assumptions, the disclaimer or report an error.

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