APR vs. APY: The Difference, and Why Banks Quote Both

By Alamzeb Khan · Updated July 2026 · 5 min read · Compound Interest Calculator →

APR vs. APY at a glance

The pattern to remember: each product is quoted with the number that flatters it. Savings marketing uses APY because compounding makes the number bigger. Loan disclosures use APR because omitting compounding keeps the number smaller. Both are legal, standardized figures — you just need to know which mathematics you’re looking at.

How to convert APR to APY

APY = (1 + APR ÷ n)ⁿ − 1

where n is the number of compounding periods per year. Worked through for 5% APR:

The gaps look small at 5%. They stop being small at credit card rates.

Why credit card interest runs higher than the APR

A card advertising 24% APR compounds daily. Run the conversion: (1 + 0.24/365)³⁶⁵ − 1 = 27.1% effective annual rate for a carried balance. On a $5,000 balance, that’s the difference between $1,200 and $1,355 of yearly interest — about $155 the APR label quietly omits. Multiply across years of revolving debt and the labeling choice is worth real money to the lender.

This is also why paying cards mid-cycle helps: daily compounding means every day of lower average balance reduces the month’s interest, not just the statement-date balance. Model your payoff timeline in the debt payoff calculator.

How to compare savings accounts by APY

On the savings side, APY is the honest number — it’s what you’ll actually earn if you leave the money alone for a year. Two practical rules:

1. Compare accounts by APY alone. The compounding frequency is already baked in; a 4.6% APY compounded monthly beats a 4.5% APY compounded daily, full stop.
2. Enter APY into projections. Our compound interest and savings goal calculators expect the APY your bank quotes — no conversion needed.

Why loan APR includes fees

Loan APR includes most mandatory fees (origination, points, some closing costs), which is why it runs higher than the bare interest rate on the same loan. That makes APR the right comparison number between loan offers — a low rate with high fees can carry a worse APR than a higher rate with none. When two mortgage offers differ, comparing APRs answers “which is cheaper over the full term” in one glance; the loan calculator then shows what the difference costs in dollars.

The one-sentence rule

Borrowing? Compare APRs. Saving? Compare APYs. Never cross the streams.

APR vs. APY examples in real dollars

Watch the APY-vs-nothing gap play out on $10,000 over a decade — both links open the compound interest calculator preloaded with annual compounding:

• Big-bank savings at 0.4% → about $10,407 after ten years.
• High-yield savings at 4.5% → about $15,530 — a $5,100 gap from one afternoon of account paperwork.

And on the borrowing side, the loan calculator prices any APR honestly: the same $12,000 at 11% vs 24% over 3 years is $2,143 versus roughly $4,900 in interest — the argument for consolidating high-rate cards, in two clicks.

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