Amortization Calculator
Build a year-by-year schedule for a fixed-rate, fully amortizing loan.
Content updated August 1, 2026
| Year | Principal | Interest | Balance |
|---|---|---|---|
| 1 | $2,794.31 | $16,167.73 | $247,205.69 |
| 2 | $2,981.45 | $15,980.59 | $244,224.23 |
| 3 | $3,181.13 | $15,780.91 | $241,043.10 |
| 4 | $3,394.17 | $15,567.87 | $237,648.93 |
| 5 | $3,621.49 | $15,340.55 | $234,027.44 |
| 6 | $3,864.03 | $15,098.02 | $230,163.42 |
| 7 | $4,122.81 | $14,839.23 | $226,040.61 |
| 8 | $4,398.92 | $14,563.12 | $221,641.69 |
| 9 | $4,693.52 | $14,268.52 | $216,948.17 |
| 10 | $5,007.86 | $13,954.18 | $211,940.32 |
| 11 | $5,343.24 | $13,618.80 | $206,597.07 |
| 12 | $5,701.09 | $13,260.95 | $200,895.99 |
| 13 | $6,082.90 | $12,879.14 | $194,813.09 |
| 14 | $6,490.28 | $12,471.76 | $188,322.80 |
| 15 | $6,924.95 | $12,037.09 | $181,397.85 |
| 16 | $7,388.73 | $11,573.31 | $174,009.13 |
| 17 | $7,883.56 | $11,078.48 | $166,125.56 |
| 18 | $8,411.54 | $10,550.50 | $157,714.02 |
| 19 | $8,974.88 | $9,987.16 | $148,739.15 |
| 20 | $9,575.94 | $9,386.10 | $139,163.21 |
| 21 | $10,217.26 | $8,744.78 | $128,945.95 |
| 22 | $10,901.53 | $8,060.51 | $118,044.42 |
| 23 | $11,631.62 | $7,330.42 | $106,412.80 |
| 24 | $12,410.61 | $6,551.43 | $94,002.18 |
| 25 | $13,241.78 | $5,720.26 | $80,760.41 |
| 26 | $14,128.60 | $4,833.44 | $66,631.80 |
| 27 | $15,074.82 | $3,887.22 | $51,556.98 |
| 28 | $16,084.41 | $2,877.63 | $35,472.57 |
| 29 | $17,161.61 | $1,800.43 | $18,310.96 |
| 30 | $18,310.96 | $651.08 | $0.00 |
Fixed-rate principal and interest only. Taxes, insurance, mortgage insurance, fees, escrow changes, and lender-specific rounding are not included.
An amortization schedule separates each fixed loan payment into interest and principal. Interest is larger near the start because the balance is higher; as the balance falls, more of the same scheduled payment reduces principal.
Enter a loan amount, nominal annual interest rate, and term. The calculator produces the scheduled monthly principal-and-interest payment, lifetime totals, the first payment split, and an annual summary of the declining balance.
The Amortization formula
M = P × [r(1+r)^n] ÷ [(1+r)^n − 1]M = scheduled monthly principal-and-interest payment; P = loan principal; r = nominal annual rate ÷ 12; n = term in years × 12. At r = 0, M = P ÷ n.
Worked example
For a $200,000 loan at a 6% nominal annual rate over 30 years, the scheduled monthly principal-and-interest payment is about $1,199.10. The first month's interest is $1,000.00 and principal is about $199.10.
Assumptions, rounding, and limitations
Assumptions
- The loan is fully amortizing with a fixed nominal annual rate and monthly payments.
- Payments are made as scheduled with no extra principal, missed payments, fees, or rate changes.
- The entered amount and every result use the selected currency unit.
Rounding: The schedule retains full floating-point precision internally; displayed currency values use up to two decimal places according to the selected currency formatter.
Limitations
- Supports loan amounts up to 1 trillion, annual rates from 0% to 100%, and terms from 1 month to 100 years.
- Excludes taxes, insurance, mortgage insurance, closing costs, escrow changes, prepayment penalties, daily-interest conventions, and lender-specific rounding.
Sources
- How does paying down a mortgage work? — Consumer Financial Protection Bureau
- Homebuyer Frequently Asked Questions — Fannie Mae
- Principal-and-interest payment versus total monthly mortgage payment — Consumer Financial Protection Bureau
How a fixed-rate amortization schedule is built
The standard payment formula sets one scheduled monthly principal-and-interest amount that brings the balance to zero after n payments. Each month's interest is the opening balance multiplied by the nominal annual rate divided by 12.
Principal for that month is the payment minus interest. The new balance is the old balance minus principal, and the calculation repeats until the final scheduled month.
Why this is not the complete mortgage payment
A mortgage payment commonly includes costs beyond principal and interest, such as property taxes, homeowners insurance, mortgage insurance, or other escrow items. This schedule intentionally excludes those changing amounts.
Actual lender statements may also differ by a few cents because of contractual day-count rules, payment timing, and rounding. Use the lender's disclosures and statements for binding figures.
Frequently asked questions
▶What does amortization mean?
It is the process of paying a loan down through regular installments, with each payment divided between interest and principal.
▶Why is interest highest in the first year?
Monthly interest is calculated from the remaining balance, which is largest near the start of the loan.
▶Does this include taxes and insurance?
No. It calculates fixed monthly principal and interest only; taxes, insurance, mortgage insurance, fees, and escrow changes are excluded.
▶Can I enter a zero-interest loan?
Yes. At 0%, the principal is divided evenly across the whole number of monthly payments.
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Open calculator →Disclaimer: Amortization Calculator results are estimates for general information and education only, and are not financial, tax, legal or medical advice. Verify important decisions with a qualified professional.