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Compound Interest Calculator American Funds

Compound Interest Formula:

\[ A = P \times (1 + r/n)^{n \times t} \]

$
%
per year
years

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1. What is Compound Interest?

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 investing.

2. How Does the Calculator Work?

The calculator uses the compound interest formula:

\[ A = P \times (1 + r/n)^{n \times t} \]

Where:

Explanation: The formula calculates how much an investment will grow when interest is compounded at regular intervals over time.

3. Importance of Compound Interest

Details: Compound interest is fundamental to long-term wealth building. It allows investors to earn returns not only on their initial investment but also on the accumulated interest, leading to exponential growth over time.

4. Using the Calculator

Tips: Enter the principal amount in dollars, annual interest rate as a percentage, number of compounding periods per year, and time period in years. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

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 returns?
A: More frequent compounding (daily vs. annually) results in higher returns due to interest being calculated and added more often.

Q3: What are typical compounding periods?
A: Common compounding frequencies include annually (1), semi-annually (2), quarterly (4), monthly (12), and daily (365).

Q4: Can this calculator be used for different currencies?
A: Yes, the calculator works with any currency as long as you're consistent with the principal amount input.

Q5: How accurate is this calculator for real investments?
A: This provides a mathematical estimate. Actual investment returns may vary due to fees, taxes, and market fluctuations.

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