Compound Interest Formula:
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Compound interest is interest calculated on the initial principal and also on the accumulated interest of previous periods. It allows savings to grow at a faster rate than simple interest, especially over long time periods.
The calculator uses the compound interest formula:
Where:
Explanation: The formula accounts for monthly compounding by dividing the annual rate by 12 and multiplying the time period by 12.
Details: Understanding compound interest is crucial for financial planning, retirement savings, and investment decisions. It demonstrates how money can grow exponentially over time.
Tips: Enter principal amount in dollars, annual interest rate as a percentage (e.g., 5 for 5%), and time period in years. All values must be positive numbers.
Q1: How often is interest compounded in this calculator?
A: This calculator assumes monthly compounding (12 times per year).
Q2: 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 principal and accumulated interest.
Q3: How does compounding frequency affect returns?
A: More frequent compounding (e.g., monthly vs. annually) results in higher returns due to the "interest on interest" effect.
Q4: Can I use this for debt calculations?
A: Yes, the same formula applies to debt that compounds, though you'd interpret the result as the total amount owed.
Q5: Why is time the most important factor?
A: Compound interest works best over long periods because the growth becomes exponential as interest earns its own interest.