Daily Compounding Formula:
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This calculator computes the growth of your savings at a 4.5% Annual Percentage Yield (APY) with daily compounding. It shows how your money grows over time with compound interest.
The calculator uses the daily compounding formula:
Where:
Explanation: The formula accounts for daily compounding, which means interest is calculated and added to the principal balance each day.
Details: Daily compounding allows your money to grow faster than simple interest or less frequent compounding because you earn "interest on interest" more frequently.
Tips: Enter your initial investment amount and the number of years you plan to keep it invested. The calculator will show your final balance and total interest earned.
Q1: Is 4.5% APY guaranteed?
A: APY can change based on market conditions. This calculator assumes a fixed 4.5% rate for the entire period.
Q2: How often is interest paid in high-yield accounts?
A: Most high-yield savings accounts pay interest monthly, though it compounds daily.
Q3: Are there fees or taxes on these earnings?
A: This calculator doesn't account for any account fees or taxes you may owe on interest earned.
Q4: What's the difference between APR and APY?
A: APR doesn't account for compounding, while APY does. APY gives a more accurate picture of your actual earnings.
Q5: Can I use this for other interest rates?
A: This calculator is specifically for 4.5% APY. Different rates would require adjusting the formula.