apr to apy calculator

APR vs APY: what’s the difference?

APR (annual percentage rate) is the nominal yearly rate. APY (annual percentage yield), also called the effective annual rate, includes the effect of compounding. If interest is paid or added more than once per year, APY will be higher than APR.

This matters because two accounts can advertise the same APR but produce different returns based on how often they compound. A monthly-compounding account grows faster than an annual-compounding account with the same APR.

The APR to APY formula

In this formula, APR is written as a decimal (for example, 8% = 0.08), and n is the number of compounding periods per year.

• n = 1 for annual compounding
• n = 12 for monthly compounding
• n = 365 for daily compounding

As compounding frequency increases, APY rises—but with diminishing gains. The jump from annual to monthly is meaningful; the jump from daily to continuous is usually small in everyday finance.

How to use this calculator

Step-by-step

• Enter your APR as a percent (example: 6.5).
• Select compounding frequency (monthly, daily, etc.).
• Optionally enter a starting balance to estimate your one-year ending amount.
• Click Calculate APY.

You’ll see the converted APY, the extra yield created by compounding, and a quick one-year projection if you entered a balance.

Example conversion

Suppose APR is 12% and compounding is monthly:

• APR = 0.12
• n = 12
• APY = (1 + 0.12 / 12)¹² − 1 = 0.1268

So the APY is about 12.68%. Even though the advertised APR is 12%, your true annual growth is higher because each month’s interest starts earning interest too.

Why APY is better for comparing accounts

If you’re evaluating high-yield savings accounts, CDs, money market accounts, or even certain staking products, APY is usually the better apples-to-apples metric. It reflects what you actually earn over a year when compounding is included.

Where people get tripped up

• Comparing APR from one product to APY from another.
• Ignoring compounding frequency entirely.
• Assuming monthly and daily compounding produce huge differences at modest rates.
• Forgetting that fees and taxes can reduce real returns.

APR to APY for borrowing vs saving

For savings, higher APY means better returns. For debt, a higher effective annual rate means higher borrowing cost. Credit cards often quote APR, but depending on how interest is applied, your effective yearly cost can be greater than that APR.

Always read the fine print: compounding method, fee structure, promotional periods, and balance calculation rules can all affect your true rate.

Quick FAQ

Is APY always greater than APR?

If compounding happens more than once per year and APR is positive, yes—APY is greater than APR. If compounding is annual (n=1), they are equal.

What compounding frequency should I choose?

Use the one specified by the institution. If the product says interest compounds daily, choose daily. If unclear, ask before comparing products.

Does this include taxes or fees?

No. This calculator focuses on pure APR-to-APY math. Your net outcome may be lower after taxes, fees, or penalties.

Bottom line

APR tells you the stated yearly rate. APY tells you what that rate effectively becomes after compounding. Use APY for cleaner comparisons, and use this calculator whenever you need a fast, reliable conversion.