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APR Calculator with Fees

An origination fee raises the real cost of a loan above its stated rate. This calculator solves for the APR that includes a fee deducted from the proceeds.

APR including a fee

The fee is treated as deducted from the amount disbursed.

 

The formula

The payment is computed on the full principal at the stated rate; the cash you actually receive is the principal minus the fee. The effective APR is the rate i that satisfies: proceeds = PMT × [(1 − (1+i/12)−n) ÷ (i/12)], solved numerically.

How to read the output

The stated rate is what the lender advertises; the effective APR is what the fee makes the credit cost. A 5% fee on a three-year loan usually adds several points of APR, which is why two offers with the same headline rate can differ materially once the fee is counted.

Every calculator runs in this page. Nothing you type is transmitted or stored.

What a calculator cannot tell you

A calculator cannot tell you what a lender will offer. It tells you what a given rate, term and amount cost. The rate you are actually offered is set by the lender against your file.

Sources

Figures marked VERIFIED were read from these sources at build time; figures marked CALCULATED come from the arithmetic shown; VARIABLE means the number differs by lender, state or credit tier and is not quoted as a single value.