How is this calculated?
The trick lives entirely in the calendar. There are 52 weeks per year — and 52 ÷ 2 = 26 biweekly periods. If your biweekly payment is half your monthly payment, you're paying:
26 × (monthly / 2) = 13 × monthly per year
One extra full monthly payment, every year, with no change to your cash-flow per period. That extra payment goes 100% to principal, which means the balance interest accrues on is lower for every future month — the savings compound.
Under the hood, we run two amortization simulations:
- Monthly: Each month, interest accrues at
rate / 12on the balance, you apply the monthly payment, and what's left is principal. We loop month-by-month until the balance hits zero. - Biweekly: Each 2-week period, interest accrues at
rate / 26on the balance, you apply half the monthly payment, and what's left is principal. We loop biweekly until zero, then convert periods to months for the chart (12 / 26 months per period).
The dollar and time savings are simply the differences between those two simulations. The math assumes your servicer credits biweekly payments as they arrive — see the caveat above for what happens if they don't.
What this calculator can't do
- Detect your servicer's actual policy. Some apply biweekly immediately; others hold and apply monthly. We assume the favorable case.
- Account for fees. A handful of third-party biweekly programs charge setup or transaction fees. Most modern servicers don't — but if yours does, those eat into the savings.
- Model rate changes. Variable-rate loans (rare for federal, common for refinanced private) will see different actual savings as rates move.