calculate-loan

01 Loan payments

Amortization Schedule With Payment Entry Calculator

Calculator No. 01-9550 · Updated · Formula and assumptions shown below

Monthly payment $405.53
Total interest
$4,331.67
= 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.

This amortization schedule calculator shows how each scheduled payment is divided between interest and principal and how the loan balance changes over time. Enter the loan amount, annual APR, and term to see the estimated monthly payment and total interest; a payment entry lets you compare a different monthly amount with the scheduled payment.

Formula

The calculator uses the standard fixed-rate, fully amortizing loan payment formula. It calculates the monthly payment from the principal, monthly interest rate, and number of monthly payments:

Payment = P × r ÷ [1 − (1 + r)−n]

  • P is the loan principal, in dollars.
  • r is the monthly interest rate as a decimal: annual APR ÷ 1,200. For an 8% APR, r = 0.08 ÷ 12.
  • n is the number of monthly payments: loan term in years × 12.

Total interest is calculated as monthly payment × n − P. The payment is rounded to cents before the total is calculated, so the displayed total uses that rounded payment. A real lender’s final payment may differ slightly because of its rounding and payment-posting practices.

Worked Example

Using the defaults in the calculator: P = $20,000, APR = 8%, and term = 5 years.

  1. Convert the APR to a monthly decimal rate: r = 8 ÷ 1,200 = 0.0066667.
  2. Find the number of payments: n = 5 × 12 = 60.
  3. Substitute into the payment formula: $20,000 × 0.0066667 ÷ [1 − (1.0066667)−60] ≈ $405.53 per month.
  4. Calculate estimated total interest using the rounded payment: $405.53 × 60 − $20,000 = $4,331.80.

These figures are estimates under the assumptions below. The calculator returns the monthly payment and aggregate interest, not a month-by-month table or an editable payment-entry field.

Assumptions

  • The interest rate is fixed for the entire term.
  • Payments are equal monthly payments made at the end of each monthly period.
  • Interest accrues monthly using APR divided by 12.
  • Fees, taxes, insurance, PMI, escrow, and other charges are not included.

How an Amortization Schedule Works

An amortization schedule is a dated or numbered list showing how a loan is expected to be repaid. Each row typically includes the starting balance, payment, interest charged, principal repaid, and ending balance. For a standard fixed-rate loan, the payment generally stays level, but its components change: interest is calculated on the outstanding balance, so the principal portion tends to increase as the balance declines.

For a monthly schedule, a basic row is calculated this way: interest = beginning balance × monthly rate; principal repaid = payment − interest; ending balance = beginning balance − principal repaid. For example, at the first month of the calculator’s example, interest is about $133.33. A $405.53 payment therefore reduces principal by about $272.20, leaving an estimated balance of $19,727.80. Small differences can arise from rounding each row to cents.

“Payment entry” can mean entering a payment amount into a calculator or recording a payment in a loan ledger. This page calculates the contractual level payment from the inputs; it does not accept an extra or irregular payment amount. To model actual payment entries, a schedule needs the payment date and amount, the lender’s interest calculation method, and any applicable fees or payment allocation rules.

Using the Results and Payment Entries

Use the payment result as the estimated recurring principal-and-interest amount under the stated assumptions. Total interest is the sum implied by making that rounded payment for every month in the term. It is not the total amount paid: the estimated total paid is payment × number of payments, which includes repayment of principal as well as interest.

If you are building or checking a payment-entry schedule, record each transaction separately and reconcile the balance after it posts. A practical entry often contains:

  • Payment date and amount actually received.
  • Interest applied for the period, based on the lender’s calculation method.
  • Principal applied after interest and any charges.
  • Remaining principal balance and any unapplied amount.

An extra payment does not automatically reduce future scheduled payments in every loan arrangement. Depending on the contract and how the servicer processes it, it may reduce principal, cover a future installment, or be applied another way. The calculator does not model extra payments, missed payments, late charges, variable rates, or changes in payment dates.

Common Errors and Limits

  • Entering APR as a decimal: enter 8 for 8%, not 0.08. The calculator converts the annual percentage to a monthly rate.
  • Confusing term units: enter years, not months. The formula multiplies the term by 12 to get payment count.
  • Assuming every payment goes to principal: interest is paid first in the simplified monthly calculation; only the remainder reduces principal.
  • Treating the estimate as a statement balance: actual balances can differ due to timing, daily accrual, fees, rounding, or payment allocation.

The formula applies to a fixed rate and regular monthly installments. It is not an exact payoff quote and does not calculate a daily-interest schedule. The allowed minimum APR is 0.01% because the payment expression divides by the monthly rate; a zero-interest loan would use a different calculation. For a zero-rate illustration, divide principal by the number of payments, but do not enter zero into this calculator.

Frequently Asked Questions

What does payment entry mean on an amortization schedule?
It usually means recording an actual payment’s date and amount, then allocating it between interest, principal, and any charges. This calculator estimates a regular payment but does not record individual transactions.

How do I calculate the interest part of a monthly payment?
Multiply the balance at the start of the period by the monthly interest rate. Subtract that interest from the payment to estimate the principal portion, assuming there are no other charges or allocation adjustments.

Why does the principal portion grow over time?
With a fixed payment and rate, the outstanding balance generally falls. Since monthly interest is calculated on that balance, the interest portion falls and more of the same payment goes toward principal.

Does this calculator show a full amortization table?
No. It returns the estimated monthly payment and total interest. A full table requires calculating the interest, principal reduction, and new balance for each payment period.

Can I enter an extra payment?
Not in this calculator. Extra payments can change the payoff path, and their treatment depends on how the loan agreement and servicer apply them. Check the lender’s payment instructions before interpreting an extra amount as principal reduction.

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

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 | $ | p * (apr / 1200) / (1 - (1 + apr / 1200) ^ -(yrs * 12)) | 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.

More in this section

The whole Loan payments section →