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NUMOROX

APR Calculator

Two offers, side by side. See which one is genuinely cheaper once the fees are counted, rather than which one advertises the lower rate.

Last reviewed

Offer B is cheaper

$216

Over 5 years, offer B costs $216 less in interest and fees — even though its quoted rate is higher.

Offer A — APR
7.967%
quoted 6.9%
Offer B — APR
7.4%
quoted 7.4%
A — interest + fees
$4,205
B — interest + fees
$3,989
A — monthly
$395.08
B — monthly
$399.81

The two offers

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Both offers are compared over the same term

Offer A

APR 7.967% · $395.08 a month

Offer B

APR 7.4% · $399.81 a month

Why the quoted rate misleads

A rate describes what you are charged on the balance. It says nothing about the money that never reached you.

The definition

APR is the rate at which the payments you actually make discount back to the money you actually received.

Borrow $20,000 with $500 of fees and you receive $19,500 — but you repay as though you had all of it. There is no closed form for the rate that reconciles those two, so it is solved numerically, which is why lenders quote it rather than expecting you to work it out.

What APR still misses

  • It assumes you keep the loan for the full term. Pay it off early and a front-loaded fee costs you far more than the APR suggests.
  • It cannot compare loans of different lengths. A lower APR over seven years can cost more in total than a higher one over three.
  • Not every charge is legally required to be in it, and which ones are depends on the type of loan.

Questions people ask

The interest rate is what you are charged on the outstanding balance. The APR expresses the rate plus the fees as a single annual figure, so two offers with different fee structures can be compared on one number. With no fees, the two are the same.

An estimate for comparing offers, not a quote. Which charges a lender must include in a disclosed APR is set by regulation and varies by loan type.