Compound Interest Formula:
From: | To: |
Compound interest is the interest calculated on the initial principal and also on the accumulated interest of previous periods. It allows savings to grow at an accelerating rate over time, making it a powerful tool for wealth accumulation.
The calculator uses the compound interest formula:
Where:
Explanation: The formula calculates how much an investment will grow over time when interest is earned on both the initial principal and the accumulated interest.
Details: Compound interest is often called the "eighth wonder of the world" for its ability to significantly grow wealth over time. It's the foundation of most long-term investment strategies and retirement planning.
Tips: Enter the principal amount in dollars, annual interest rate as a decimal (e.g., 0.05 for 5%), number of compounding periods per year, and time in years. All values must be positive numbers.
Q1: What's the difference between simple and compound interest?
A: Simple interest is calculated only on the principal amount, while compound interest is calculated on both the principal and accumulated interest.
Q2: How does compounding frequency affect returns?
A: The more frequently interest is compounded, the higher the returns. Daily compounding yields slightly more than monthly, which yields more than annually.
Q3: What is a good interest rate for savings?
A: This varies by economic conditions, but high-yield savings accounts typically offer rates significantly above traditional savings accounts.
Q4: Can compound interest work against me?
A: Yes, when borrowing money, compound interest can cause debt to grow rapidly if not managed properly.
Q5: Is this calculator accurate for all investments?
A: This calculator provides an estimate for fixed-rate investments. Variable rate investments or those with fees may have different actual returns.