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Annualized Return on Investment (ROI) Calculator

Annualized ROI Formula:

\[ \text{Annualized ROI} = \left(\frac{FV}{PV}\right)^{\frac{1}{n}} - 1 \]

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1. What is Annualized ROI?

Annualized Return on Investment (ROI) measures the average yearly growth rate of an investment over a specified time period. Unlike simple ROI, it accounts for compounding effects and provides a comparable annual rate regardless of the investment duration.

2. How Does the Calculator Work?

The calculator uses the Annualized ROI formula:

\[ \text{Annualized ROI} = \left(\frac{FV}{PV}\right)^{\frac{1}{n}} - 1 \]

Where:

Explanation: The formula calculates the geometric average rate of return that would be needed to grow the initial investment to the future value over the given time period.

3. Importance of Annualized ROI

Details: Annualized ROI allows for comparison between investments with different time horizons. It's essential for evaluating investment performance, portfolio management, and financial planning.

4. Using the Calculator

Tips: Enter the initial investment amount (PV), the current or final value (FV), and the investment period in years. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: How is Annualized ROI different from simple ROI?
A: Simple ROI shows total return, while annualized ROI shows the average yearly return, accounting for compounding over time.

Q2: What's a good Annualized ROI?
A: This varies by asset class. Historically, 7-10% is good for stocks, 3-5% for bonds. Compare to benchmarks relevant to your investment.

Q3: Can Annualized ROI be negative?
A: Yes, if your investment lost value over the period, the Annualized ROI will be negative.

Q4: Does this account for additional contributions?
A: No, this formula assumes a single initial investment. For multiple contributions, use IRR (Internal Rate of Return).

Q5: How does inflation affect Annualized ROI?
A: This calculates nominal returns. For real returns, adjust for inflation by subtracting the inflation rate from your result.

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