The fee repeats; the principal never shrinks. That is the entire business model.
| What happens | Fees paid | You still owe |
|---|---|---|
| Repaid on time | $75 | $0 |
| 1 rollover (4 weeks) | $150 | $500 |
| 3 rollovers (8 weeks) | $300 | $500 |
| 6 rollovers (14 weeks) | $525 | $500 |
| 10 rollovers (22 weeks) | $825 | $500 |
Fee-to-APR conversion ((fee ÷ principal) ÷ (days ÷ 365)), the rollover spiral (fee re-charged per period, principal untouched), and comparisons against a 28% PAL and a 25% credit card for the same amount and duration.
Sources: CFPB on payday loan costs · NCUA on PALs.
State-specific caps, database rules and cooling-off periods aren't modeled. Some lenders structure fees differently (per-period interest vs flat fee). The PAL comparison assumes qualification at a federal credit union. This is education, not a loan offer.
APR = (fee ÷ principal) ÷ (days ÷ 365) × 100
rollover k = total fees = fee × (k + 1) · principal unchanged
PAL total ≈ principal × 28% × days ÷ 365 + principal