Formula, assumptions, and limits
Daily interest estimate: principal × annual rate ÷ 365.25 × days
For monthly amortization, P is principal plus entered capitalized interest, r is the annual rate divided by 12, and n is the selected years multiplied by 12. The daily method uses actual calendar days between first-of-month modeled payment dates and solves for a level payment over the requested term.
The daily option reflects the simple daily interest approach described by official federal loan servicers: interest accrues on outstanding principal, payments cover accrued interest before reducing principal, and capitalized interest increases principal. See the Federal Student Aid servicer explanation of student loan interest.