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Annual Rate of Return Calculator

Annual Rate of Return Formula:

\[ \text{Annual ROR} = (1 + \text{Total Return})^{1/\text{years}} - 1 \]

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years

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1. What is Annual Rate of Return?

The Annual Rate of Return (ROR) is the compound annual growth rate of an investment over a specified time period. It shows the average yearly return needed to achieve the total return over the given period.

2. How Does the Calculator Work?

The calculator uses the Annual Rate of Return formula:

\[ \text{Annual ROR} = (1 + \text{Total Return})^{1/\text{years}} - 1 \]

Where:

Explanation: The formula converts a total return over multiple years into an equivalent annual compounded rate.

3. Importance of Annual Rate of Return

Details: Annual ROR allows comparison of investments with different time periods and compounding effects. It's essential for evaluating investment performance and making informed financial decisions.

4. Using the Calculator

Tips: Enter total return as a decimal (e.g., 0.5 for 50%) and years as a positive number. Both values must be valid (years > 0, total return > -1).

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between Annual ROR and simple average return?
A: Annual ROR accounts for compounding, while simple average doesn't. For volatile investments, they can differ significantly.

Q2: Can Annual ROR be negative?
A: Yes, if the total return is negative (investment lost value), the Annual ROR will be negative.

Q3: How is this different from CAGR?
A: Annual ROR and CAGR (Compound Annual Growth Rate) are essentially the same concept.

Q4: What's a good Annual Rate of Return?
A: This depends on the asset class. Historically, stocks average 7-10%, bonds 3-5%, but returns vary by period and risk.

Q5: Can I use this for periods less than a year?
A: Yes, enter fractional years (e.g., 0.5 for 6 months), but results may be annualized to misleading extremes for very short periods.

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