Savings Account Interest Calculator APY
Calculate your savings account earnings using Annual Percentage Yield (APY) with our free online calculator. Understand how compounding affects your returns and compare different interest rates.
How to Use This Calculator
This savings account interest calculator uses APY to show how compounding interest grows your savings over time. Follow these steps:
- Enter your initial deposit amount in dollars.
- Select the annual interest rate (APY) offered by your bank.
- Choose how often the interest is compounded (annually, monthly, daily, etc.).
- Enter the number of years you plan to keep the money in the account.
- Click "Calculate" to see your future balance.
The calculator will display your final balance after the specified period, showing how much interest you've earned through compounding.
How APY Works
Annual Percentage Yield (APY) is the real rate of return earned on an investment, taking into account the effect of compounding interest. Unlike Annual Percentage Rate (APR), which only considers simple interest, APY shows the actual growth of your savings.
APY Formula:
Final Balance = Initial Deposit × (1 + APY/Compounding Periods per Year)Compounding Periods per Year × Years
For example, if you deposit $1,000 at 5% APY compounded monthly for 1 year:
- Divide the APY by the number of compounding periods per year: 5% ÷ 12 = 0.4167% per month
- Calculate the number of compounding periods: 12 months × 1 year = 12 periods
- Apply the formula: $1,000 × (1 + 0.004167)12 ≈ $1,051.16
APY vs APR Comparison
While both APY and APR represent interest rates, they are calculated differently:
| Feature | APY | APR |
|---|---|---|
| Calculation | Includes compounding interest | Simple interest only |
| Accuracy | More accurate for savings growth | Less accurate for long-term savings |
| Example | 5% APY = ~5.12% APR | 5% APR = 5% APY |
Always use APY when comparing savings accounts to see the true growth potential of your money.
Worked Examples
Example 1: Monthly Compounding
Initial deposit: $5,000
APY: 4%
Compounding: Monthly
Years: 5
Calculation: $5,000 × (1 + 0.04/12)12×5 ≈ $7,425.76
You would earn approximately $2,425.76 in interest over 5 years.
Example 2: Daily Compounding
Initial deposit: $10,000
APY: 3.5%
Compounding: Daily
Years: 10
Calculation: $10,000 × (1 + 0.035/365)365×10 ≈ $14,016.30
You would earn approximately $4,016.30 in interest over 10 years.
Frequently Asked Questions
What is the difference between APY and APR?
APY (Annual Percentage Yield) shows the actual return after compounding, while APR (Annual Percentage Rate) shows the simple interest rate before compounding. APY is always higher than APR for the same nominal rate.
How often should interest be compounded?
More frequent compounding periods (like daily or monthly) result in higher returns. Most savings accounts compound interest monthly, but some offer daily or continuous compounding for better returns.
Is APY always better than APR?
Yes, APY is always better because it shows the true growth of your money after compounding. When comparing savings accounts, always look at APY rather than APR.
Can I calculate APY manually?
Yes, you can use the formula: Final Balance = Initial Deposit × (1 + APY/Compounding Periods per Year)Compounding Periods per Year × Years. Our calculator does this automatically for you.