The one word that changes everything: 'accelerated'
This is the part lenders don't always explain clearly. There are two kinds of biweekly payment, and they're worlds apart.
Regular (non-accelerated) biweekly takes your annual monthly total and simply divides it into 26 payments. You pay the same amount per year as monthly — just in smaller, more frequent chunks. It pays off only a hair faster (from the slightly earlier timing) and saves almost nothing. Accelerated biweekly instead takes your monthly payment and cuts it exactly in half, then charges that every two weeks. Since there are 26 two-week periods in a year (not 24), you make 26 half-payments = the equivalent of 13 monthly payments — one full extra payment a year, and that whole extra payment goes straight to principal. Same idea applies to accelerated weekly. The word 'accelerated' is the entire trick.
