Loan APR With Fees Calculator

Upfront fees (origination, points) reduce the cash you actually receive but you still repay based on the full loan amount, so the effective cost is higher than the nominal rate.

The calculator computes the monthly payment on the loan, then solves for the rate that equates the financed amount minus fees to that stream of payments.

A loan with a low rate but high fees can cost more than a higher-rate, no-fee loan. APR rolls both into a single comparable number.

It includes finance charges and most lender fees but not third-party costs that would be paid regardless of the loan. Always check what each lender bundles in.

The nominal rate (or note rate) is the pure cost of borrowing before any fees. APR folds the upfront fees in as well, spread across the loan term, so it reflects the true total cost of the financing. Always compare loans by APR, not by nominal rate.

Paying points lowers the rate but raises your upfront cost. Work out the break-even: divide the cost of the points by the monthly savings. If that figure (in months) is shorter than how long you plan to keep the loan, the points pay off. If you expect to refinance or sell soon, they usually do not.

The annuity equation cannot be inverted in closed form to solve for the rate directly. Bisection repeatedly halves a rate interval until the present value matches the financed amount. It is slower than Newton's method, but it is robust and always converges to a finite result, even with unusual inputs.