APY Calculator

What is APY (Annual Percentage Yield)?

The APY Calculator computes the Annual Percentage Yield from any nominal interest rate and compounding frequency. APY represents the effective annual rate of return on a savings account, CD, or investment after accounting for compound interest. Unlike the simple nominal rate (APR), APY shows your true earnings because it includes the benefit of earning interest on previously earned interest.

Understanding APY is essential for comparing financial products. A savings account advertising a 5% nominal rate with monthly compounding actually yields 5.12% APY. This means on a $10,000 deposit, you earn $512 instead of $500 over one year. Our Annual Percentage Yield Calculator helps you quickly determine the true return for any combination of rate and compounding frequency, with support for bi-weekly, weekly, and custom compounding periods.

The APY Formula

The APY calculation follows this formula:

$$APY = (1 + \frac{r}{n})^n - 1$$

Where:

r is the nominal annual interest rate (APR) as a decimal
n is the number of compounding periods per year

For example, with a 5% nominal rate compounded monthly ($n = 12$): $APY = (1 + \frac{0.05}{12})^{12} - 1 = 0.05116 = 5.116\%$

APY vs APR: Key Differences

APR is the simple stated rate without compounding, while APY includes the compounding effect. APY is always higher than APR when compounding occurs more than once per year. Use APY when comparing savings products and APR when comparing loans. Our APR Calculator can help you with the nominal rate side of the comparison.

How Compounding Frequency Affects APY

With the same nominal rate, more frequent compounding produces a higher APY. Annual compounding gives the lowest APY (equal to APR), while daily compounding approaches the theoretical maximum. The APY Calculator compares all common frequencies simultaneously so you can see the impact instantly.

For related calculations, explore our Compound Interest Calculator and APR to APY Converter.

Frequently Asked Questions

What is a good APY for a savings account?

A good APY depends on current market conditions. Generally, APY of 5% or higher is excellent, 4-5% is very good, 3-4% is good, and below 1% is low. High-yield savings accounts from online banks typically offer the best rates. Always compare APYs rather than stated rates when evaluating different accounts.

How do I calculate APY from an interest rate?

Use the formula APY = (1 + r/n)^n - 1, where r is the annual interest rate (as a decimal) and n is the number of compounding periods per year. For example, with 5% compounding monthly: (1 + 0.05/12)^12 - 1 = 5.116%. Our calculator automates this for any rate and frequency.

Does APY include fees?

Standard APY calculations do not include fees. APY only reflects the return from compound interest. When comparing financial products, consider both the APY and any associated fees such as maintenance fees, transaction fees, or early withdrawal penalties to understand the true net return.

Can APY change over time?

Yes, APY can change over time. Most savings accounts and money market accounts have variable rates that fluctuate with market conditions and Federal Reserve policy. Certificates of deposit (CDs) typically offer fixed APYs for the duration of the term. Always check whether an APY is variable or fixed before opening an account.

What is the difference between APY and dividend rate?

The dividend rate is similar to APR in that it represents the simple rate without compounding. APY includes the effect of compounding and provides a more accurate picture of your actual earnings. Credit unions often use the term "dividend rate" instead of APR when describing their savings products.

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What is APY (Annual Percentage Yield)?

The APY Formula

APY vs APR: Key Differences

How Compounding Frequency Affects APY

Frequently Asked Questions

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