APR vs APY in one line
APR is the stated ("nominal") yearly rate; APY is what you actually earn once compounding is included. Because interest earns interest between compounding dates, APY is always equal to or higher than APR — and the more frequently it compounds, the bigger the gap. The formula: APY = (1 + APR/n)n − 1, where n is the number of compounding periods per year.
Why frequency matters
A 5% nominal rate becomes 5.00% APY compounded annually, 5.09% quarterly, 5.12% monthly, and 5.13% daily. The differences look tiny, but they're free money — and over large balances or many years they add up. Crucially, this is why you should compare savings accounts by APY, not the headline rate: a slightly lower nominal rate that compounds daily can beat a higher one that compounds annually.
The marketing angle
Banks advertise APY on savings because it's the larger, more attractive number. Lenders advertise APR on debt because it's the smaller one — so your credit card's real cost (its APY) is higher than the rate on the statement. Knowing how to convert between them means neither side's marketing can mislead you. See our full APR vs APY guide for the deeper explanation.