The first interest calculation starts with the full balance
Take a $250,000 loan at 6.50% with monthly payments. A simple monthly periodic rate is 0.065 ÷ 12, or about 0.541667% per month. Applying that rate to the full $250,000 balance produces first-month interest of about $1,354.17.
Subtract interest from the scheduled payment
The 30-year payment is about $1,580.17. If $1,354.17 is interest, approximately $226.00 remains to reduce principal. The next balance is therefore about $249,774.00 before considering row-by-row rounding conventions.
Later payments shift toward principal
Once principal is reduced, the next interest charge is calculated on a slightly smaller balance. That leaves a slightly larger portion of the same fixed payment for principal. The process repeats, creating the familiar pattern of falling interest and rising principal.
A high interest share does not mean the schedule is wrong
Borrowers sometimes compare the first year's total payments with the relatively small reduction in principal and conclude that the lender is “applying the payment incorrectly.” On a long-term loan, however, the math naturally produces an interest-heavy beginning.
The best audit is to reproduce the schedule using the same rate, dates, compounding, and rounding method.
How extra principal changes future rows
An extra principal payment lowers the balance immediately. Because later interest is calculated from that smaller balance, future interest can be lower. The scheduled payment may stay the same while more of it goes to principal, shortening the payoff period.
How to find the principal-interest crossover point
The “crossover point” is the payment where the principal portion becomes larger than the interest portion. It is not fixed at the halfway point of the loan. The crossover depends on the rate, term, payment frequency, and any extra principal paid along the way.
You can find it by scanning the amortization table until the principal column first exceeds the interest column. A higher rate or longer term generally keeps the schedule interest-heavy for longer, while extra principal can move the crossover earlier by reducing the balance sooner.
This is a useful teaching metric because it turns the changing payment composition into a specific milestone. Still, reaching the crossover does not mean the loan is half paid off. The balance may remain substantial, so use the balance column—not the payment composition—to answer how much principal is still owed.
Build the numbers instead of estimating them
Use the free online schedule calculator for a complete amortization table. If you need to edit individual payment dates, amounts, rates, or notes and save the revised loan, use Amortization Pro for Windows.