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Compound Average Growth Rate Calculator

CAGR Formula:

\[ CAGR = \left( \left( \frac{A}{P} \right)^{\frac{1}{T}} - 1 \right) \times 100 \]

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1. What is the Compound Average Growth Rate?

The Compound Annual Growth Rate (CAGR) is a measure of the mean annual growth rate of an investment over a specified time period longer than one year. It represents one of the most accurate ways to calculate and determine returns for anything that can rise or fall in value over time.

2. How Does the Calculator Work?

The calculator uses the CAGR formula:

\[ CAGR = \left( \left( \frac{A}{P} \right)^{\frac{1}{T}} - 1 \right) \times 100 \]

Where:

Explanation: The formula calculates the smoothed annualized growth rate, eliminating the effect of volatility of periodic returns.

3. Importance of CAGR Calculation

Details: CAGR provides a single growth figure that allows investors to compare different investment opportunities over time. It's particularly useful for comparing historical returns of stocks, mutual funds, and other investments.

4. Using the Calculator

Tips: Enter the final investment value, initial principal amount, and the time period in years. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is a good CAGR value?
A: A "good" CAGR depends on the investment type and market conditions. Generally, higher CAGR indicates better performance, but it should be compared against relevant benchmarks.

Q2: Does CAGR account for volatility?
A: No, CAGR smooths out returns and doesn't reflect investment risk or volatility during the period.

Q3: Can CAGR be negative?
A: Yes, if the final value is less than the principal amount, CAGR will be negative, indicating a loss.

Q4: What are the limitations of CAGR?
A: CAGR assumes constant growth rate, doesn't account for intermediate cash flows, and may not reflect actual year-to-year performance.

Q5: How is CAGR different from average annual return?
A: CAGR accounts for compounding effect, while average annual return simply averages the yearly returns without considering compounding.

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