How it works
Fees reduce the money you actually receive while the payments stay the same. The APR is the interest rate at which the payments exactly repay the amount you receive after fees, so it is always higher than the advertised rate when there are fees.
Find APR so that Σ M ÷ (1 + APR/12)k = P − fees
- M — monthly payment at the advertised rate
- P — loan amount
- k — payment number, 1 to n
Because fees are spread over the term, they push the APR up most on short loans. A 600 fee on a 5-year loan adds far more to the APR than the same fee on a 30-year mortgage.