APY Calculator (Annual Percentage Yield)
Calculate the real return on your investments with compounding interest
Investment Details
Amount you’re initially investing
The stated annual interest rate (without compounding)
What is APY (Annual Percentage Yield)?
APY (Annual Percentage Yield) is the real rate of return earned on an investment, taking into account the effect of compounding interest. Unlike simple interest, APY considers that interest is periodically added to the principal, so future interest calculations include previously earned interest.
How to Use This APY Calculator
- Enter your initial investment – The amount you’re starting with
- Enter the nominal interest rate – The stated annual rate before compounding
- Select compounding frequency – How often interest is calculated and added
- Enter investment period – Number of years you’ll keep the investment
- Click “Calculate APY” – See your effective annual return and growth
APY Formula
The APY is calculated differently based on compounding frequency:
Periodic Compounding:
APY = (1 + r/n)n – 1
Where:
r = nominal annual interest rate (as decimal)
n = number of compounding periods per year
Continuous Compounding:
APY = er – 1
Where:
e = Euler’s number (~2.71828)
r = nominal annual interest rate (as decimal)
Why APY Matters
- Accurate comparisons – Compare different investment options fairly
- Understand compounding – See how frequency affects your returns
- Financial planning – Project realistic investment growth
- Maximize returns – Identify accounts with better compounding terms
APY vs. APR
APY | APR | |
---|---|---|
Definition | Annual Percentage Yield | Annual Percentage Rate |
Includes | Compounding interest | Simple interest only |
Used For | Investments, savings accounts | Loans, credit cards |
Which is higher? | APY ≥ APR | APR ≤ APY |
Typical APY Rates
Account Type | Typical APY Range |
---|---|
Savings Accounts | 0.5% – 4.5% |
Money Market Accounts | 1.0% – 5.0% |
Certificates of Deposit (CDs) | 1.5% – 5.5% |
High-Yield Savings | 3.0% – 6.0% |