Compound Interest Formula:
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Compound interest is the interest calculated on the initial principal and also on the accumulated interest of previous periods of a deposit or loan. It allows your investment to grow at an accelerating rate over time.
The calculator uses the compound interest formula:
Where:
Explanation: The formula calculates how much an investment will grow when interest is compounded annually, taking into account both the principal and accumulated interest.
Details: Understanding compound interest is crucial for financial planning, investment decisions, and retirement savings. It demonstrates the power of time and consistent investing in wealth accumulation.
Tips: Enter the principal amount in currency, annual interest rate as a decimal (e.g., 0.05 for 5%), 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 the result?
A: More frequent compounding (monthly, quarterly) results in higher returns. This calculator assumes annual compounding.
Q3: Can I use this for loan calculations?
A: Yes, the same formula applies to compound interest on loans, though the context and implications are different.
Q4: What is the rule of 72?
A: The rule of 72 estimates how long it takes for an investment to double: 72 divided by the annual interest rate.
Q5: Are there limitations to this calculation?
A: This assumes a fixed interest rate and doesn't account for additional contributions, taxes, or inflation.