How extra payments create savings
Every month, interest is charged on the outstanding balance. Paying extra reduces that balance immediately, so every future month charges interest on a smaller number - and because the payment stays fixed, the extra keeps coming out of your pocket for fewer months as the loan empties faster. The result is a payoff date that moves up and an interest total that falls.
That is why an extra payment in year two is worth much more than the same payment in year twenty: the earlier payment removes interest for more months. On a 30-year mortgage around $300,000 at 6.5%, a steady $200 a month can take several years off the payoff date and save tens of thousands of dollars in interest. The page recalculates the schedule month by month with every input change, so the figure it prints is the compounded consequence of a smaller balance, not a simple subtraction.