Annual Rate of Return Formula:
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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.
The calculator uses the Annual Rate of Return formula:
Where:
Explanation: The formula converts a total return over multiple years into an equivalent annual compounded rate.
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.
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).
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.