CalculationTime

Amortization Calculator

Build a fixed-rate loan amortization check with monthly payment, balance after a chosen payment, interest paid and extra-payment impact.

Live math canvas

Your numbers, formula and explanation together

Amortization Calculator: 250,096.5 currency balance. Amortization Calculator uses the declared inputs to produce a transparent default result. Loan amount: 250,000 currency; Annual interest rate: 6.5 percent; Loan term: 30 years; Balance after payment number: 60 month; primary comparison: 250,000 and 6.5.

Formula applied

The exact method behind this answer

CalculationTime keeps the method visible so the number can be checked instead of blindly trusted.

Monthly payment = P × r(1+r)^n ÷ ((1+r)^n − 1). Each month: interest = opening balance × r; principal paid = payment + extra payment − interest; new balance = opening balance − principal paid.
  1. Apply the formulaMonthly payment = P × r(1+r)^n ÷ ((1+r)^n − 1). Each month: interest = opening balance × r; principal paid = payment + extra payment − interest; new balance = opening balance − principal paid.250,096.5 currency balanceAmortization Calculator uses the declared inputs to produce a transparent default result. Loan amount: 250,000 currency; Annual interest rate: 6.5 percent; Loan term: 30 years; Balance after payment number: 60 month; primary comparison: 250,000 and 6.5.

Your live breakdown

Current inputs in the calculation

These values come from the controls above and update when the calculator changes.

Loan amount
250,000 currency
Original amount borrowed before interest. Use one currency consistently.
Annual interest rate
6.5 percent
Nominal fixed annual rate converted to a monthly rate.
Loan term
30 years
Original repayment term.
Balance after payment number
60 month
Use 0 for the starting balance, 12 after one year, 60 after five years.
Extra monthly principal
0 optional currency
Optional extra amount assumed to reduce principal each month without penalty.

Resulting answer

250,096.5 currency balance

Amortization Calculator uses the declared inputs to produce a transparent default result. Loan amount: 250,000 currency; Annual interest rate: 6.5 percent; Loan term: 30 years; Balance after payment number: 60 month; primary comparison: 250,000 and 6.5.

Answer
250,096.5 currency balance
Live support
Amortization Calculator uses the declared inputs to produce a transparent default result. Loan amount: 250,000 currency; Annual interest rate: 6.5 percent; Loan term: 30 years; Balance after payment number: 60 month; primary comparison: 250,000 and 6.5.

Assumptions used

What this answer assumes

Fixed-rate principal-and-interest schedule only. Compare against lender statements before making financial decisions.

  • The loan has a fixed annual rate converted to a monthly rate.
  • Payments are monthly and the first payment is one month after the starting balance.
  • Extra monthly payment is treated as principal reduction with no fee or prepayment penalty.
  • Taxes, insurance, redraw fees, offset accounts, variable-rate changes and lender servicing fees are excluded.

Master’s Tip

How to use the result well

Master’s Tip: print the selected payment row beside the lender statement. Small rate changes, fee timing, skipped payments or a different compounding convention can explain why a lender balance is not exactly the same as a simple public calculator.

Printable record

What belongs in the saved calculation

Save the inputs, result, formula, assumptions, page URL and date together so the calculation can be reviewed later.

Loan amount
250,000 currency
Original amount borrowed before interest. Use one currency consistently.
Annual interest rate
6.5 percent
Nominal fixed annual rate converted to a monthly rate.
Loan term
30 years
Original repayment term.
Balance after payment number
60 month
Use 0 for the starting balance, 12 after one year, 60 after five years.

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Formula

Monthly payment = P × r(1+r)^n ÷ ((1+r)^n − 1). Each month: interest = opening balance × r; principal paid = payment + extra payment − interest; new balance = opening balance − principal paid.

Worked example

For 250,000 at 6.5% over 30 years, r = 0.065 ÷ 12 and n = 360. The scheduled monthly payment is about 1,580.17. Month 1 interest is about 1,354.17, so only about 226.00 reduces principal before any extra payment.

Professional note

Master’s Tip: print the selected payment row beside the lender statement. Small rate changes, fee timing, skipped payments or a different compounding convention can explain why a lender balance is not exactly the same as a simple public calculator.

Regional and unit assumptions

Standard or basis: fixed-rate monthly amortization using ordinary annuity-payment arithmetic. It is currency-neutral and does not claim compliance with any named lender, mortgage disclosure or consumer-credit rule.

Assumptions and limitations

Methodology & Accuracy

How this calculator is checked

CalculationTime pages are built around visible arithmetic: the formula, assumptions, worked example and practical limitations are shown so the result can be checked rather than simply trusted.

Formula used

Monthly payment = P × r(1+r)^n ÷ ((1+r)^n − 1). Each month: interest = opening balance × r; principal paid = payment + extra payment − interest; new balance = opening balance − principal paid.

Standard or basis

Standard or basis: fixed-rate monthly amortization using ordinary annuity-payment arithmetic. It is currency-neutral and does not claim compliance with any named lender, mortgage disclosure or consumer-credit rule.

Where a calculator follows a named legal, trade or industry standard, that standard is cited visibly. Otherwise the page uses transparent general arithmetic and states its limits.

Master's Tip

Master’s Tip: print the selected payment row beside the lender statement. Small rate changes, fee timing, skipped payments or a different compounding convention can explain why a lender balance is not exactly the same as a simple public calculator.

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MoneyLoan Payment CalculatorEstimate the monthly payment, total repayment and interest cost for a fixed-rate amortising loan.Open calculatorFinanceSimple Interest CalculatorCalculate simple interest, total repayment and effective yearly interest from principal, rate and time.Open calculatorMoneyCompound Interest CalculatorProject compound growth from a starting balance, regular contributions, interest rate, compounding frequency and time horizon.Open calculator

Questions

What does an amortization calculator show?

It shows how a fixed loan payment is split between interest and principal over time, and estimates the remaining balance after a chosen payment number.

Why is early principal reduction so small?

Early in an amortizing loan, the balance is high, so more of each payment goes to interest. Principal reduction usually grows later as the balance falls.

Do extra payments always save interest?

They can save interest when the lender applies the extra amount directly to principal and there is no prepayment penalty. Check the actual loan terms before relying on the estimate.

Does this match my lender statement exactly?

Not always. Real statements may include fees, rate changes, payment timing, escrow, offset accounts, rounding and local disclosure rules that are outside this simple formula.

What payment number should I use?

Use 12 for roughly one year of monthly payments, 60 for five years, or the exact instalment number shown on your lender statement.

Calculation note

Amortization turns borrowing into a time schedule. The same monthly payment can hide a changing split: interest dominates at first, then principal reduction accelerates as the outstanding balance falls.

A payment is not all principal

In a fixed-rate amortizing loan, each instalment first covers that month’s interest on the outstanding balance. Whatever remains reduces principal. That is why the printable report keeps payment number, interest to date and remaining balance visible together.

Extra principal payments change the path

When a lender applies extra payments directly to principal, the balance falls sooner and future interest is charged on a smaller amount. The calculator models that simple path, but it does not know lender-specific penalties, redraw rules or payment posting dates.

APR and disclosures are broader than a schedule

An amortization schedule is arithmetic. Borrowing decisions may also depend on APR, comparison rates, fees, taxes, insurance, escrow, local disclosure rules and whether the rate can change. Those items should be checked with the official lender documents.

Sources and further readingConsumer Financial Protection Bureau: Interest rate and APRFederal Reserve: Consumer credit