True APR

Monthly instalment
Fees deducted up front
Cash actually received
Total cost of credit

How it works

Lenders quote a nominal interest rate, but the fees taken at the start mean you receive less than you borrowed while repaying the full amount. The APR is the single rate that describes that whole arrangement — the number regulators require precisely because the nominal rate flatters the deal.

The calculation works from net cash in hand. Fees deducted up front are subtracted from the amount you receive; the instalment is unchanged. Solving for the rate that reconciles the smaller amount received with the same repayments gives the true APR.

APR solves: net amount received = Σ instalment ÷ (1 + r)ᵐ

  • Net received — the loan amount less any fee deducted at disbursal
  • Instalment — the monthly payment, calculated on the full loan at the nominal rate
  • r — the monthly rate the calculator solves for; APR is r × 12

Worked example

Borrowing 500,000 at a nominal 11% over 5 years with a 2% processing fee and 6,000 insurance

Inputs

Loan amount500,000
Nominal rate11%
Term5 years
Processing fee2%
Insurance6,000

Results

True APR12.4%
Monthly instalment10,871
Fees deducted16,000

The advertised 11% is really 12.4%. On this loan the fees are worth about 1.4 percentage points.

Frequently asked questions

What is the difference between interest rate and APR?

The interest rate governs how interest accrues on the balance. The APR adds the compulsory costs of taking the loan — fees, insurance, charges — and expresses the whole thing as one annual rate. Only the APR is comparable between lenders.

Which fees should I include?

Anything you must pay to get the loan: processing or origination fees, administration charges, compulsory credit insurance, documentation and stamp charges. Leave out optional extras you could decline.

Why does a fee matter so much on a short loan?

Because it is spread over fewer payments. The same 2% fee costs far more in APR terms on a two-year loan than on a twenty-year one, which is why short-term borrowing looks so different once fees are included.

Is my data sent anywhere?

No. The calculation runs entirely in your browser. Nothing you type is transmitted to us or stored.

More in Loans & Mortgage