Yearly Payment Amortization Schedule Calculator

A yearly payment amortization schedule shows how each annual loan payment is divided between interest and principal, and how the balance changes from year to year. Enter the loan amount, annual interest rate, and term to calculate an equivalent monthly payment and total interest; the schedule itself is built by applying the same fixed payment month by month and grouping the results by year.

Formula

This calculator gives the level monthly payment for a fixed-rate loan and the total interest paid if that rounded payment is made for the full term. It does not display a year-by-year table directly; use the monthly balance formula below to calculate each month-end balance, then group the twelve payments and interest amounts belonging to each calendar or loan year.

The monthly payment formula is M = round(P × r ÷ [1 − (1 + r)⁻ⁿ], 2), where P is the starting principal in dollars, r = APR ÷ 1200 is the monthly interest rate as a decimal, and n = 12 × years is the number of monthly payments. The calculator’s total interest is I = M × n − P, in dollars. Because the payment is rounded to cents, this total uses the rounded payment as specified.

For a schedule, let B_k be the balance immediately after payment k. The balance formula is B_k = P(1 + r)^k − M[(1 + r)^k − 1] ÷ r. In month k, interest is the previous balance multiplied by r; principal paid is M − interest; and the new balance is the previous balance minus principal paid. At each year-end, add that year’s twelve interest amounts and twelve principal amounts. In the final year, use only the months remaining in the term.

Worked Example

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

1. Convert the annual percentage rate to a monthly decimal: r = 8 ÷ 1200 = 0.0066667.
2. Count the monthly payments: n = 5 × 12 = 60.
3. Substitute into the payment formula: M = round[20,000 × 0.0066667 ÷ (1 − (1.0066667)⁻⁶⁰), 2], which gives $405.53 per month.
4. Calculate total interest using the rounded payment: $405.53 × 60 − $20,000 = $4,331.80.

These are the same two results returned by the calculator. To build the first year’s schedule, calculate each month’s interest from the balance at the start of that month, subtract it from $405.53 to find principal paid, and update the balance. Repeat for twelve payments, then total the year’s interest and principal. Small differences can appear if an external schedule rounds each month separately; lenders may also adjust a final payment to clear any remaining cents.

How to Read a Yearly Schedule

A typical annual summary contains the opening balance, payments made, principal repaid, interest charged, and closing balance. Payments are not usually divided equally between principal and interest. With a standard level-payment loan, interest is larger earlier because it is calculated on a larger outstanding balance. As the balance falls, the interest portion generally declines and the principal portion increases.

• Opening balance: the amount owed at the beginning of the year.
• Total payments: the scheduled installments during that year, before any separately charged fees.
• Principal repaid: the part of payments that reduces the debt.
• Interest paid: the cost calculated on the balance over the year.
• Closing balance: opening balance minus principal repaid, subject to rounding and any other account activity.

For a complete year with twelve unchanged monthly payments, total payments are twelve times the monthly payment. The split between interest and principal must come from the month-by-month calculations, not from dividing the payment evenly. A yearly schedule is a summary of the underlying monthly schedule, not a separate payment method.

Annual Payments Versus Yearly Summaries

“Yearly payment amortization schedule” can mean either a schedule with one payment each year or a yearly summary of monthly payments. Those are not equivalent. This calculator assumes monthly payments and monthly interest accrual, then explains how to group those entries by year. If a loan actually requires annual installments, its payment frequency, interest accrual conventions, and number of installments must be modelled using an annual-payment formula instead. Simply multiplying the monthly payment by twelve does not produce the annual installment for that different loan.

Also distinguish a calendar year from a loan year. A loan year usually starts on the date the loan begins or the first payment period starts. A calendar-year report may contain only part of the first or last loan year, so the number and timing of payments can differ.

When This Estimate Is Useful—and Its Limits

A schedule can help explain how a fixed payment reduces a balance, check the arithmetic of a loan estimate, or compare a planned payment timeline with a lender-provided schedule. Enter the principal, APR, and term shown in the relevant disclosure; the defaults are examples only, not a statement about available rates, fees, or loan terms.

The calculation assumes a fixed APR and equal monthly payments. It excludes origination charges and other fees, taxes, insurance, escrow, and any payment changes or extra payments. It does not calculate the effect of late payments, a changing rate, skipped installments, or a lender’s particular day-count and rounding practices. For an exact account balance or payoff amount, use the lender’s current figures, since payment dates and accrued interest can affect the amount.

To estimate an extra payment’s effect, the schedule must be recalculated with that payment applied to principal at the appropriate date. Do not assume every extra amount automatically reduces principal: how a payment is applied depends on the loan’s terms and servicing. This calculator has no input for extra payments and does not model their effects.

Common Calculation Mistakes

• Using 8 instead of 0.0066667: APR is entered as a percentage, and this monthly formula converts it by dividing by 1200.
• Using years as the payment count: a five-year monthly schedule has 60 installments, not five.
• Calling total payments “interest”: total payments include repayment of the original principal; interest is the amount above principal under the stated assumptions.
• Expecting a constant annual interest amount: interest typically changes as the balance declines.
• Ignoring rounding: payments are rounded to cents, and monthly rounding can make an actual schedule differ slightly from a calculation that carries extra decimal places.

Assumptions

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

Frequently Asked Questions

What does an amortization schedule show?
An amortization schedule shows each payment’s interest and principal portions and the balance remaining afterward. A yearly version groups those monthly details into annual totals.

How do I calculate yearly principal paid?
Add the principal portions of the monthly payments in that loan year. Equivalently, subtract the year-end balance from the opening balance when there are no extra payments, fees added to principal, or other balance changes.

Does a yearly schedule mean payments are made once a year?
Not necessarily. It may mean a summary organized by year. This calculator assumes monthly payments; an actual annual-payment loan needs calculations based on its annual payment timing and terms.

Why does the interest portion decrease over time?
For a fixed-rate loan, periodic interest is calculated from the outstanding balance. As scheduled principal payments reduce that balance, the interest charge generally falls.

Why might my lender’s schedule differ by a few cents?
Payment rounding, payment dates, interest accrual conventions, fees, and a final-payment adjustment can change the displayed figures. The lender’s disclosure or account statement provides the applicable figures.

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

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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 | $ | round(p * (apr / 1200) / (1 - (1 + apr / 1200) ^ -(yrs * 12)), 2) | 2
out int | Total interest | $ | pmt * yrs * 12 - p | 2