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. It allows investments to grow exponentially over time, making it a powerful concept in finance and investment planning.
The calculator uses the compound interest formula:
Where:
Explanation: The formula calculates how much an investment will grow over time when interest is compounded at regular intervals.
Details: Understanding compound interest is crucial for financial planning, retirement savings, investment decisions, and loan calculations. It helps investors see the long-term growth potential of their investments.
Tips: Enter the principal amount, annual interest rate, compounding frequency, and time period. All values must be positive numbers to get accurate results.
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 (e.g., monthly vs annually) results in higher returns due to interest being calculated more often.
Q3: What is a typical compounding frequency?
A: Common frequencies include annually (1), semi-annually (2), quarterly (4), monthly (12), and daily (365).
Q4: Can this calculator be used for loans?
A: Yes, the same formula applies to calculating the future value of loans with compound interest.
Q5: What's the rule of 72?
A: A quick way to estimate how long it takes for an investment to double: divide 72 by the annual interest rate.