The NumeraFin Amortization Calculator computes monthly loan payments using the standard amortization formula and generates a complete year-by-year repayment schedule showing principal paid, interest paid, and remaining balance for each year. It supports any loan amount (default $200,000), term length (1–30 years), interest rate, and optional extra monthly payment. When an extra payment is entered, the calculator shows total interest saved and months removed from the loan term. The calculation uses the formula: monthly payment = P × [r(1+r)^n] / [(1+r)^n - 1], where P is the principal, r is the monthly interest rate, and n is the total number of payments.
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Loan Tools

Amortization Calculator

Enter any loan amount, term, and rate to get your monthly payment and a complete year-by-year repayment schedule. See exactly how extra payments cut your interest.

Monthly payment
Year-by-year schedule
Extra payment impact
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Configure

Loan parameters

$200,000
$10,000$2,000,000
15 yr
1 yr30 yr
6.00%
0.10%20.00%
$
Monthly$1,688
Principal$200,000
Interest$103,788
Total cost$303,788
Monthly payment$1,688
Total interest$103,788
Total amount paid$303,788
Payoff in15 yr
Principal vs Interest breakdown34.2% interest
← Principal 65.8%Interest 34.2% →

Schedule

Yearly amortization breakdown

15 years
YearInterestPrincipalToward principalEnding balance
1$11,769$8,483
42%
$191,517
2$11,246$9,007
44%
$182,510
3$10,690$9,562
47%
$172,948
4$10,101$10,152
50%
$162,796
5$9,475$10,778
53%
$152,018

Guide

How to Use the Amortization Calculator

01

Set Loan Parameters

Drag the sliders or type values for loan amount, term in years, and annual interest rate. Results update instantly as you adjust — no button press needed.

02

Add Extra Payment

Enter an optional extra monthly payment amount. The calculator immediately shows how much total interest you save and how many months sooner you pay off the loan.

03

Read the Schedule

Review the donut chart for principal/interest split, the summary stats, and the full year-by-year amortization table showing interest, principal, and balance for every year.

Explainer

How Loan Amortization Works

The Amortization Formula

For a fixed-rate loan the monthly payment is constant throughout the term. It's calculated as:

M = P × [r(1+r)^n] / [(1+r)^n - 1]

Where P = principal, r = monthly rate (annual ÷ 12 ÷ 100), n = total payments (years × 12). The result M stays fixed every month.

Why Early Payments Are Mostly Interest

Each month, interest is computed on the remaining balance. In month 1 on a $200,000 loan at 6%, interest = $200,000 × 0.005 = $1,000. If the monthly payment is $1,199, only $199 reduces the balance. As the balance falls, interest charges shrink and more of each payment goes to principal—this acceleration is what "amortization" refers to.

The Power of Extra Payments

Extra payments reduce the principal immediately, which lowers every future interest charge. A consistent extra $200/month on a $200,000, 30-year loan at 6% can eliminate ~5 years from the term and save $40,000+ in interest — because today's principal reduction compounds forward across all remaining months.

Amortization vs. Interest-Only

An amortizing loan fully retires the debt by the final payment — balance reaches exactly $0. Interest-only loans charge just the interest each period and leave the full principal outstanding at maturity. Most mortgages, auto loans, and personal loans are fully amortizing; some commercial real estate loans use interest-only periods followed by amortizing payments.

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FAQ

Amortization Calculator FAQ

What is an amortization schedule?

An amortization schedule is a table showing each payment period of a loan, broken down into how much goes toward interest and how much reduces the principal balance. Early payments are mostly interest; later payments are mostly principal. The NumeraFin Amortization Calculator shows this breakdown year by year.

How is the monthly payment calculated?

The standard amortization formula is: monthly payment = P × [r(1+r)^n] / [(1+r)^n - 1], where P is the loan principal, r is the monthly interest rate (annual rate ÷ 12 ÷ 100), and n is the total number of monthly payments (years × 12). For zero-interest loans, payment = P ÷ n.

How do extra monthly payments affect my loan?

Extra payments go entirely toward reducing the principal balance. Because interest is calculated as a percentage of the remaining balance, a lower balance means less interest accrues each month. This creates a compounding effect — each extra dollar paid today eliminates future interest charges on that principal for every remaining month of the loan.

What is the difference between total interest and total paid?

Total paid = loan principal + total interest. For example, a $200,000 loan at 6% for 30 years has a monthly payment of $1,199. Total paid over 30 years is ~$431,640, meaning total interest is ~$231,640 — more than the original loan amount.

Why does so much of my early payment go toward interest?

Because interest is calculated on the current outstanding balance. In the first month of a $200,000 loan at 6%, the interest charge is $200,000 × 0.5% = $1,000 — nearly the entire payment. As the balance decreases over time, the interest portion shrinks and the principal portion grows. This is the nature of amortizing loans.

Can I use this for a mortgage, auto loan, or student loan?

Yes. The amortization formula is the same for all fixed-rate installment loans — mortgage, auto, personal, or student loans. Enter the loan amount, rate, and term, and you get the correct monthly payment and schedule regardless of the loan type. Variable-rate loans will differ since the rate changes over time.

Disclaimer

This calculator is for informational and educational purposes only. Results are based on standard fixed-rate amortization math and do not account for variable rates, balloon payments, origination fees, mortgage insurance, property taxes, or other loan-specific terms. Always consult a qualified financial advisor or lender before making borrowing decisions. Actual loan terms may differ.