APR to APY Calculator
An APR to APY Calculator helps you convert an annual percentage rate (APR) into an annual percentage yield (APY) when interest is compounded during the year. This can make it easier to understand the effective yearly rate and compare financial products that use different compounding schedules.
What Is APR?
APR stands for Annual Percentage Rate. In the context of interest calculations, it represents the stated annual rate before the effect of compounding is included. For example, an APR of 6% means the annual rate is 0.06 when written as a decimal.
APR can be useful for stating an interest rate, but it does not always show how frequently interest is compounded. That is where APY becomes useful.
What Is APY?
APY stands for Annual Percentage Yield. It represents the effective annual rate after taking compound interest into account. When interest is compounded more than once per year, the APY is generally higher than the stated APR.
How to Convert APR to APY
The standard formula for converting APR to APY is:
APY = (1 + APR/n)n - 1
In this formula, APR is the annual percentage rate written as a decimal, and n is the number of compounding periods per year.
For example, if the APR is 6% and interest is compounded monthly, use 0.06 for the APR and 12 for the number of compounding periods.
APY = (1 + 0.06/12)12 - 1
The resulting APY is approximately 6.168%. The APY is higher than the 6% APR because interest is compounded each month.
Why Is APY Higher Than APR?
When interest is compounded, the interest earned during one period can become part of the balance used to calculate interest in the next period. This creates a compounding effect that increases the effective annual yield.
If interest is compounded only once per year, the APR and APY are the same under this formula. As the number of compounding periods increases, the difference between the two rates becomes larger.
Common Compounding Frequencies
Interest may be compounded annually, semi-annually, quarterly, monthly, or daily, depending on the financial product. The compounding frequency is important because it directly affects the APY calculated from a given APR.
For example, a 6% APR compounded monthly produces a different APY than the same 6% APR compounded annually. This is why checking the compounding schedule is important when comparing rates.
APR to APY vs. APY to APR
APR and APY are related but are not interchangeable. APR generally describes the stated annual rate, while APY accounts for compounding. An APR to APY calculation is useful when you know the stated rate and want to determine its effective annual yield.
When to Use an APR to APY Calculator
An APR to APY calculator can be helpful when comparing savings accounts, loans, credit products, or other financial products where interest rates and compounding schedules need to be understood together.
Before comparing rates, check the terms of the financial product carefully. Fees, changing rates, minimum balances, payment schedules, and other conditions can affect the actual cost or return and may not be reflected by a simple APR-to-APY conversion.
The calculator provides a mathematical estimate based on the APR and compounding frequency you enter. For real financial decisions, use the current terms provided by the relevant financial institution and consider all applicable fees and conditions.