Average Return Calculator — CAGR vs. Simple Average (Volatility Drag)

The Formula

CAGR (Compound Annual Growth Rate) is the year-over-year growth rate that would produce the same final result if returns were constant. The arithmetic average simply sums the annual returns and divides by the number of years. CAGR is always lower than or equal to the arithmetic average in volatile markets — this gap is called "volatility drag." The more volatile the returns, the larger the gap between these two metrics, which is why CAGR is the more honest measure of true investment performance.

Variable Definitions

How to Use This Calculator

1. 1

   Choose "Starting & Ending Values" to calculate CAGR from a single investment period — useful for real estate, business investments, or any buy-and-hold asset.

2. 2

   Enter the starting value, ending value, and time period in years.

3. 3

   CAGR is displayed first — the most important metric for investment performance. The simple average is shown for comparison.

4. 4

   Choose "Annual Returns" to enter a list of per-year returns (e.g., 12, -5, 8, 15, 3). This mode also shows best/worst years and volatility statistics.

5. 5

   The calculator shows both CAGR and arithmetic average side-by-side, with the volatility drag clearly visible. The difference between them tells you how volatile your returns were.

Common Applications

• Calculate the true compound annual growth rate of an investment portfolio over multiple years including the effect of volatility drag.
• Evaluate a fund manager performance claim by comparing the advertised arithmetic average return against the actual CAGR.
• Analyze a series of annual investment returns to understand how volatility reduces your effective compounded returns over time.

CAGR is always lower than or equal to the arithmetic average in volatile markets -- the gap (volatility drag) reveals the true cost of volatility

Understanding the Concept

The difference between CAGR and arithmetic average is one of the most misunderstood concepts in investing. If a fund manager says "our average annual return was 12%," check if they mean arithmetic or CAGR. Arithmetic averages are always higher in volatile markets. Example: a portfolio that gains 50% one year and loses 50% the next has an arithmetic average of 0% — but the CAGR is -13.4% because the 50% loss erases more than the 50% gain. This is why CAGR is the only honest measure of investment performance. For financial planning, always use CAGR when projecting future values. The arithmetic average is useful for comparing fund performance to benchmarks only when you understand it overstates true growth. The "annual returns" mode of this calculator makes the volatility drag visible by showing the gap between CAGR and the arithmetic average for your specific return series.

Frequently Asked Questions

Sources & References