Compound Interest Formula:
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Compound interest is the addition of interest to the principal sum of a loan or deposit, where the interest that has been added also earns interest. This differs from simple interest, where interest is not compounded.
The calculator uses the compound interest formula:
Where:
Explanation: The formula calculates how much an investment will grow when interest is earned on both the initial principal and the accumulated interest from previous periods.
Details: Understanding compound interest is crucial for financial planning, as it demonstrates how investments grow over time and highlights the value of starting to save early.
Tips: Enter the principal amount in dollars, the annual interest rate as a percentage, and the number of years. All values must be positive numbers.
Q1: How often is interest compounded in this calculator?
A: This calculator assumes annual compounding, meaning interest is calculated once 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 the principal plus any 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 occurring more often.
Q4: What is the "Rule of 72"?
A: It's a simple way to estimate how long an investment will take to double: divide 72 by the annual interest rate.
Q5: Can this calculator be used for loans?
A: Yes, it can calculate the future value of loans with compound interest, though most loans use monthly compounding.