What is APR — and why is it always higher than the interest rate?
The interest rate on a loan is the cost of the borrowed funds only. APR (Annual Percentage Rate) is the total cost of borrowing — interest plus most fees — expressed as a single annual percentage. Because fees add cost beyond the interest charge, APR is always greater than or equal to the stated interest rate.
The gap between the two — 0.37 percentage points in this example — represents the annualised cost of fees. A loan with a lower interest rate but higher fees can have a higher APR than a loan with a higher rate and no fees. That is exactly why APR exists: to give borrowers one comparable number that captures the full cost.
APR formula
The precise calculation of APR uses the Internal Rate of Return (IRR) — it solves for the discount rate that makes the present value of all future loan payments equal to the net amount you actually receive after fees. In practice, lenders calculate it with financial software. For planning and comparison, the simplified formula below is widely used:
This approximation works well for fixed-rate loans where fees are paid upfront. For revolving credit or variable-rate loans, regulators mandate the IRR method, but the simplified formula is accurate enough for comparison purposes and explains the concept clearly.
The two-step breakdown
How fees inflate APR — the net proceeds effect
The single most important thing to understand about APR is how fees work mathematically. When you pay a fee upfront, you receive less money than you borrowed — but you still repay the full principal plus interest. That means you're paying interest on money you never received.
Here is a worked example — $20,000 personal loan, 7.00% interest, 3-year term:
You receive $19,600 but repay $20,000 + $2,231 = $22,231. The APR of ~7.48% reflects that gap — you're effectively borrowing at a higher rate than 7.00% because of the $400 fee you never had in hand.
Term length amplifies or dilutes the fee effect
The same $400 fee on the same $20,000 loan has a very different APR impact depending on term length:
This is why lenders can advertise the same fee as "only 0.01% on your APR" for a 30-year mortgage, while the same fee would add 0.41% APR on a 1-year loan. On short-term loans, fees hurt much more than they look on paper.
Step-by-step calculation method
Worked examples
30-year mortgage with points
$300,000 loan · 6.50% rate · $3,000 origination + 1 point ($3,000)
✅ Rate 6.50% · APR 6.54% — small gap on 30-yr
3-year personal loan with origination fee
$15,000 · 9.00% rate · 3% origination fee ($450)
🟡 Rate 9.00% · APR ~9.97% — fee adds ~1 point
Clean loan — no origination fee
$10,000 · 7.25% rate · $0 fees · 2-year term
✅ APR = interest rate when fees = $0
Low rate, high fees — APR reveals the truth
$20,000 · 5.00% rate · 6% origination fee ($1,200) · 1-year term
⚠️ Rate 5.00% · APR 8.76% — fees nearly double cost
The fourth example is the most instructive: a lender advertising 5.00% with a 6% fee on a 1-year loan is actually costing you 8.76% per year. Without APR, that comparison is invisible. With APR, it is immediate.
APR vs APY — the direction of money matters
APR and APY are frequently confused because both express rates annually. The direction of money flow is what separates them:
Used for loans, mortgages, credit cards, and debt. It represents the annual cost you pay to borrow money, including fees. Lower APR = cheaper borrowing. Lenders are required by law to disclose APR in the US (TILA) and EU (Consumer Credit Directive).
Used for savings accounts, CDs, share certificates, and deposits. It represents the annual return you earn, accounting for compounding. Higher APY = better return. APY is always ≥ APR for the same nominal rate because it includes the effect of compounding.
One more nuance: for credit cards, APR is typically quoted without compounding. If you carry a balance month-to-month, your effective cost is higher than the quoted APR because interest compounds on outstanding balances. The effective annual rate on a 24% APR credit card (compounded monthly) is approximately 26.8% — the difference between APR and effective yield.
Typical APR ranges by loan type
APR varies enormously by loan type — the same borrower could see an APR below 7% on a mortgage and above 300% on a payday loan. Understanding the landscape helps benchmark any offer you receive:
When comparing loan offers, always compare APR to APR — never compare a quoted interest rate on one loan against the APR of another. That comparison is structurally misleading and is sometimes used deliberately to make a higher-cost loan appear cheaper.
Common mistakes when comparing APR
- Comparing interest rate to APR across lenders. Always compare APR to APR. Rate-to-APR comparisons are apples-to-oranges and will mislead you toward the higher-fee loan.
- Ignoring which fees are excluded from APR. APR does not include all costs. Appraisal fees, title insurance, and some closing costs may be excluded. For mortgages, review the full Loan Estimate form — not just the APR headline — for total closing costs.
- Using APR as the sole metric for short-term loans. A 1-week payday loan may have a technically accurate APR of 400% but a total dollar cost of $15 on a $100 loan. APR is most useful for comparisons across similar term lengths.
- Assuming lower APR always means lower total cost. If you plan to repay early, a loan with a slightly higher APR but no prepayment penalty may cost less in practice. APR assumes you hold the loan for the full term.
- Not asking what is and isn't included. Different lenders may include or exclude different fees from their APR calculation. Ask for the TILA disclosure document, which legally mandates a standardised APR figure in the US.
Frequently asked questions
What is the formula for APR on a loan?
The simplified formula is: APR ≈ ((Total interest paid + Total included fees) ÷ Principal ÷ Term in years) × 100. The precise regulatory calculation uses the Internal Rate of Return (IRR) method — solving for the discount rate that equates the present value of all loan payments to the net proceeds received after fees. For comparison purposes, the simplified formula is accurate enough.
Why is APR always higher than the interest rate?
APR includes both the interest rate and the annualised cost of fees. Even a small origination fee adds to the total cost of borrowing, which pushes APR above the nominal rate. The only case where APR equals the interest rate is when there are zero included fees.
What fees are included in APR?
Under US TILA rules, APR typically includes: origination fees, discount points, broker fees, mortgage insurance premiums (in some cases), and certain prepaid interest. It generally excludes: appraisal fees, title insurance, credit report fees, survey fees, and recording fees. Exact inclusions vary by loan type and jurisdiction — always check the loan's official disclosure.
What is the difference between APR and APY?
APR is used for loans — it represents the annual cost of borrowing including fees. APY is used for savings and investments — it represents the annual return including the effect of compounding. APR is associated with debt; APY is associated with earnings. For the same nominal rate, APY is always ≥ APR because APY accounts for compounding.
How do I find the APR on my loan?
In the US, lenders are required by the Truth in Lending Act (TILA) to disclose the APR on the loan disclosure documents before you sign. Look for the "Federal Truth in Lending Disclosure Statement" or the "Loan Estimate" form. The APR will be clearly labelled and is legally standardised so it can be compared across lenders.