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, where interest is calculated only on the principal amount.
The calculator uses the compound interest formula:
Where:
Explanation: The formula accounts for exponential growth of your investment through periodic compounding of interest.
Details: Understanding compound interest is crucial for retirement planning, investment strategies, and debt management. Small differences in rates or compounding frequency can lead to significant differences over time.
Tips: Enter principal in USD, annual rate as percentage (e.g., 5 for 5%), compounding frequency (e.g., 12 for monthly), 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 the principal plus accumulated interest.
Q2: How often should interest compound for maximum growth?
A: More frequent compounding (daily > monthly > yearly) results in higher returns, though the difference diminishes at very high frequencies.
Q3: What's the Rule of 72?
A: A quick way to estimate doubling time: 72 divided by the interest rate gives approximate years needed to double your money.
Q4: How does compound interest affect loans?
A: Compound interest can make debts grow rapidly, especially with credit cards or payday loans that compound daily.
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 annuity calculation.