Loan Calculator

Model a fixed-rate installment-loan payment, schedule, total modeled interest, optional origination-fee effect, and voluntary extra-payment scenario from the amount, rate, and term you enter. Keep the result alongside the lender's actual disclosure.

Example Loans

Personal Loan

$20,000 • 10% • 5 yr

Auto Loan

$35,000 • 7.5% • 6 yr

Student Loan

$30,000 • 6% • 10 yr

Large Loan

$50,000 • 9% • 7 yr

Loan Details View Results

A standard fixed-rate installment loan, personal, student, or any amount, rate, and term.

Extra Payments & Dates

Your Loan Summary

Monthly Payment
$0
The fixed amount due each month.
Total Interest
$0
Paid over the loan's life.
Total Cost of Loan
$0
Principal + interest + fees.
Payoff Date
When the balance reaches zero.
Amount financed$0

Balance & Interest Over Time

What If I Pay Extra Each Month?

Extra / moPayoff timeTotal interestInterest saved

Amortization Schedule

#DatePrincipalInterestBalanceCum. Interest
How This Is Calculated

Payments use the standard amortization formula M = P · r(1+r)ⁿ / ((1+r)ⁿ − 1), with your own numbers plugged in:

Enter your loan details to see the math…
Transparent calculator

Check the method before you use the estimate

This page documents the formula, assumptions, and any specific external sources used for this tool.

See the method
Planning estimate What this result can and cannot tell you

Educational fixed-loan estimate only. This is not financial advice, a loan offer, approval, or legal disclosure. Confirm the lender's rate, APR, amount financed, fees, payment schedule, prepayment terms, and total obligations before accepting credit.

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Method & sources

How the Loan Calculator works

These notes describe the calculation used on this page and the assumptions that can change a real-world result.

Fixed-rate installment payment and balance schedule M = P * [r(1 + r)^n] / [(1 + r)^n - 1]; each month, interest = opening balance * r and principal = payment - interest + selected extra principal. For a deducted fee, the effective-APR estimate solves the payment stream against proceeds = principal - fee.

Assumptions on this page

  • The schedule assumes a fixed annual rate, equal monthly payments, and the term entered. It does not model variable rates, payment holidays, late charges, collateral, or lender-specific rules.
  • A fee is an input used for a planning effective-APR estimate; this tool is not a legal Truth-in-Lending disclosure calculation.
  • Extra payments are modeled as principal reductions after the month's scheduled interest. Real lenders can have separate posting rules, fees, or prepayment terms.
  • The result is not an offer, approval, affordability decision, or personal borrowing recommendation.

Sources used on this page

Guide & Reference

Everything behind the Loan Calculator

Formulas, reference charts, and detailed answers — expand any section you need.

Use one clear loan definition before comparing payments

An installment-loan payment only has meaning when the amount, annual rate, term, and fees describe the same offer. Enter the amount you expect to owe, the rate used to calculate the scheduled payment, and the number of months. If an origination fee is deducted from the proceeds, enter it separately so the page can show why the amount received can differ from the amount repaid.

This page is designed for a fixed-rate, equal-payment scenario. It is not a lender portal and cannot know whether a fee is financed, deducted, optional, refundable, or legally included in a disclosed APR. Use the result to organize a comparison, then review the actual disclosure. For a focused fee-and-rate view, use the APR Calculator.

The fixed-payment equation and monthly schedule

The core payment equation uses P for the balance, r for the annual rate divided by 12, and n for the number of monthly payments:

Fixed-rate payment
M = P × [r(1 + r)n] ÷ [(1 + r)n - 1]

After the payment is calculated, each row in the schedule first calculates interest from that month's opening balance. The rest of the scheduled payment is principal. A lower balance means later interest is calculated on a smaller number, so the principal share grows in a typical fixed-rate schedule.

Diagram showing an installment payment split into interest and principal, with principal reducing the remaining balance over time.
The payment amount can stay level in a fixed-rate schedule while its interest and principal portions change.

Worked scenario: recreate a payment before reading the total

Suppose a borrower models $12,000 at a fixed 10% annual rate for 36 months. With r = 0.10 / 12 and n = 36, the payment equation gives $387.21 per month. Multiplying that payment by 36 produces about $13,939.42 of scheduled payments, so the modeled interest is about $1,939.42 before any separately entered fee.

The point of the example is not that 10% is a suitable rate. It is that the result can be checked from the inputs. If the lender deducts a fee from the $12,000 proceeds, the borrower may receive less cash while making payments calculated on the full $12,000 balance. Enter that fee visibly and compare the cash received, payment, and stated APR rather than looking at one figure alone.

Term length changes both payment pressure and interest exposure

For the same principal and rate, a longer term spreads repayment over more months. That generally reduces the monthly payment but can increase total modeled interest because the balance stays outstanding longer. A shorter term raises the payment and can shorten the interest path. Neither output answers whether the payment fits your budget or whether the credit is available.

Run at least two terms using the same amount and rate. Then compare the payment with a real household budget, not only with a lender's maximum. The Budget Calculator is a separate place to record recurring obligations, and the Amortization Calculator can show the schedule behind one selected term.

Fees and extra payments should not be hidden in the comparison

When a fee is deducted from proceeds, this page models an effective annualized rate by solving for the monthly rate that makes the payment stream equal the smaller amount received. That is useful for understanding the direction of the fee effect, but it is not a substitute for the lender's disclosed APR or a legal calculation under every credit rule.

Extra payment fields are also scenario tools. The page adds an extra monthly or one-time amount to modeled principal after calculating that month's interest. Confirm whether the lender accepts extra payments, how it posts them, whether it advances the due date, and whether any agreement terms apply. Do not rely on a general schedule to override a contract.

Compare the actual disclosure before accepting credit

The CFPB explains that a Truth-in-Lending disclosure can identify APR, finance charge, amount financed, payment, and other important terms. The exact document and rules differ by transaction, but the comparison habit is useful: line up like-for-like amount received, fees, rate, term, payment, and total required payments.

Use this calculator to detect a question, not to supply an answer the offer itself must provide. If a formula, label, or calculation path appears inconsistent, report it through the issue form with non-sensitive sample inputs only.

FAQ

Frequently Asked Questions

How does this loan calculator calculate a monthly payment?
It uses the standard fixed-rate amortizing payment equation with the amount, annual rate, and number of monthly payments you enter. The schedule then calculates each month's interest from the opening balance and assigns the rest to principal.
Does the calculator show APR?
It can estimate an effective annualized rate when you enter a fee deducted from the proceeds. That estimate is for planning and is not a legal lender disclosure or a replacement for the APR shown in the actual offer.
Why can the amount received be lower than the amount repaid?
If an origination fee is deducted from the loan proceeds, you can receive less cash while the payment schedule is still based on the full principal. Enter the fee so that difference is visible.
Does a longer loan term save money?
A longer term can lower the modeled monthly payment but can increase total modeled interest because the balance remains outstanding longer. Compare both payment and total interest for the same amount and rate.
How are extra payments handled?
The page adds your selected extra amount to modeled principal after calculating the month's scheduled interest. Verify with the actual lender how additional payments will be posted.
Can this calculator approve a loan or tell me how much to borrow?
No. It does not assess income, credit, lender rules, collateral, fees, or personal affordability. It is an educational calculation only.

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