Average Return Calculator
Calculate arithmetic and geometric average returns for investments.
Enter Returns
Average Returns
Difference: 0.33%
The geometric mean accounts for compounding and volatility.
About This Calculator
The Average Return Calculator helps you calculate both arithmetic and geometric average returns for your investments. The arithmetic mean gives you the simple average, while the geometric mean accounts for compounding effects and provides a more accurate measure of investment performance over time.
Understanding the difference between these two averages is important for investment analysis. The geometric mean is typically lower than the arithmetic mean and better reflects actual investment performance when returns vary from year to year.
Formula & Calculation Method
Average Return Calculation:
Arithmetic Mean:
Average = (R₁ + R₂ + R₃ + ... + Rₙ) ÷ n
Geometric Mean:
Geometric Mean = [(1+R₁) × (1+R₂) × ... × (1+Rₙ)]^(1/n) - 1
Where R = Return percentage, n = Number of periods
The arithmetic mean is the simple average of returns. The geometric mean accounts for compounding and volatility drag, making it more accurate for multi-period investment analysis. Geometric mean is always less than or equal to arithmetic mean.
How to Use This Calculator
- Enter Returns: Input annual return percentages for each period (can be positive or negative).
- Add More Periods: Click "Add Return" to include additional years or periods.
- Remove Periods: Click the X button to remove any return period.
- View Results: See both arithmetic average and geometric mean returns.
Frequently Asked Questions
What is the difference between arithmetic and geometric mean?
Arithmetic mean is the simple average of returns. Geometric mean accounts for compounding and volatility, providing a more accurate measure of actual investment performance over multiple periods. Geometric mean is always lower than arithmetic mean when returns vary.
Which average should I use?
Use arithmetic mean for single-period analysis or when returns are constant. Use geometric mean for multi-period analysis, as it better reflects the compound effect of returns over time.
Can I use negative returns?
Yes, you can include negative returns. The calculator handles both positive and negative values. Negative returns will lower both averages appropriately.
How does volatility affect the difference between averages?
Higher volatility increases the gap between arithmetic and geometric means. This "volatility drag" means that more volatile investments have lower geometric returns than their arithmetic average suggests.
Expert Reviewed
This calculator was reviewed by NumCalculators Editorial Team, Multi-disciplinary Expert Team