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 causes wealth to grow faster than simple interest because you earn "interest on interest."
The calculator uses the compound interest formula:
Where:
Explanation: More frequent compounding (higher n) leads to higher returns. The formula accounts for exponential growth over time.
Details: Understanding compound interest is crucial for retirement planning, investment decisions, and debt management. It's often called the "eighth wonder of the world" for its powerful growth potential.
Tips: Enter principal in dollars, annual rate as percentage (e.g., 5 for 5%), time in years, and select compounding frequency. 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 the principal plus accumulated interest.
Q2: How often should interest compound for maximum growth?
A: More frequent compounding (e.g., daily vs. annually) yields higher returns, though the difference diminishes as frequency increases.
Q3: What's the Rule of 72?
A: A quick way to estimate doubling time: divide 72 by the interest rate. For example, at 6% interest, money doubles in about 12 years.
Q4: How does compound interest affect debt?
A: It works against you with debt - unpaid interest gets added to principal, leading to faster debt growth.
Q5: Can I use this for irregular contributions?
A: This calculator assumes a single lump sum investment. For regular contributions, you'd need a future value of series calculator.