Average Rate Of Return Formula:
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The Average Rate Of Return (ARR) is a financial metric that calculates the mean return percentage over multiple periods. It provides a simple way to measure the average performance of an investment over time.
The calculator uses the ARR formula:
Where:
Explanation: The formula calculates the arithmetic mean of returns over specified periods, providing a straightforward measure of average performance.
Details: ARR is crucial for investment analysis, portfolio performance evaluation, and comparing different investment opportunities. It helps investors understand the average return they can expect over time.
Tips: Enter return percentages as comma-separated values (e.g., "5, 8, -2, 12") and specify the number of periods. All values must be valid numeric percentages.
Q1: What is the difference between ARR and CAGR?
A: ARR calculates simple arithmetic mean, while CAGR (Compound Annual Growth Rate) accounts for compounding effects over time.
Q2: What are good ARR values?
A: Good ARR values depend on the asset class and risk profile. Generally, positive ARR indicates growth, while negative indicates loss.
Q3: Can ARR be negative?
A: Yes, if the sum of returns is negative, ARR will be negative, indicating an average loss over the periods.
Q4: What are limitations of ARR?
A: ARR doesn't account for volatility, risk, or compounding effects. It treats all periods equally regardless of timing.
Q5: When should I use ARR vs other metrics?
A: Use ARR for simple average calculations. For more comprehensive analysis, consider using CAGR, Sharpe ratio, or risk-adjusted returns.