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Calculate Annual Return

Annual Return Formula:

\[ \text{Annual Return} = \left(\left(\frac{\text{Final Value}}{\text{Initial Value}}\right)^{\frac{1}{\text{Years}}} - 1\right) \times 100 \]

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1. What is Annual Return?

Annual Return is the geometric average amount of money earned by an investment each year over a given time period. It shows the compounded rate of growth of an investment.

2. How Does the Calculator Work?

The calculator uses the annual return formula:

\[ \text{Annual Return} = \left(\left(\frac{\text{Final Value}}{\text{Initial Value}}\right)^{\frac{1}{\text{Years}}} - 1\right) \times 100 \]

Where:

Explanation: The formula calculates the geometric mean return, which accounts for compounding effects over time.

3. Importance of Annual Return

Details: Annual return allows comparison between investments of different time periods and helps investors understand the average yearly growth of their investments.

4. Using the Calculator

Tips: Enter the initial and final investment values in dollars, and the investment period in years. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: How is annual return different from total return?
A: Total return shows the overall percentage change, while annual return shows the average yearly compounded return.

Q2: What's a good annual return?
A: Historically, stock market averages 7-10% annual return, but this varies by asset class and time period.

Q3: Can annual return be negative?
A: Yes, if the investment lost value over the period, the annual return will be negative.

Q4: How does this differ from CAGR?
A: Annual return and CAGR (Compound Annual Growth Rate) are essentially the same calculation.

Q5: Why use geometric mean instead of arithmetic mean?
A: Geometric mean accounts for compounding and volatility, giving a more accurate picture of investment performance.

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