Annualized Rate of Return
Print| Total ROI (Overall Return) | 0.00% |
| Total Profit | $0.00 |
When comparing two different investments held over different time periods—such as a real estate property held for 7 years versus a stock portfolio held for 3 years—simply looking at the total percentage gain is misleading. To make an accurate, “apples-to-apples” comparison of investment performance, you must convert total gains into an Annualized Rate of Return (also known as the Compound Annual Growth Rate, or CAGR).
Our free Annualized Rate of Return Calculator standardizes your investment gains into a geometric average annual rate, accounting for the effects of annual compounding over time.
How to Calculate Annualized Rate of Return (CAGR)
The annualized return formula calculates the constant annual rate at which an investment would have grown if it compounded smoothly over the holding period.
The Annualized Return Formula:
Annualized Return (%) = [ (Ending Value / Beginning Value) ¹⁄ᶘ - 1 ] × 100
(Where “n” is the total number of years the investment was held).
Step-by-Step Example Calculation
Imagine an investor bought $10,000 worth of an index fund. Exactly 5 years later, the portfolio is worth $18,000.
Step 1: Calculate Total Cumulative Gain
Total Gain = ($18,000 / $10,000) - 1 = 0.80 (80% Total Return)
Step 2: Calculate Annualized Compound Return
Dividing 80% by 5 years gives a simple average of 16%, but this ignores compounding! Let’s use the true geometric formula:
Annualized Return = (1.80) ¹⁄⁵ - 1
Annualized Return = (1.80) ∄⁷⁰ - 1 = 1.1247 - 1 = 12.47%
| Return Metric | Calculation | Result |
|---|---|---|
| Total Cumulative Return | ($18,000 – $10,000) / $10,000 | +80.0% Total Gain |
| True Annualized Return (CAGR) | (1.80) ^ (1/5) – 1 | 12.47% per year |
The investment generated a true compound growth rate of 12.47% per year.
Frequently Asked Questions (FAQ)
What is the difference between Annualized Return and Average Annual Return?
Average Annual Return is an arithmetic average (e.g., adding annual returns together and dividing by years). It overstates returns because it ignores volatility. Annualized Return (CAGR) is a geometric average that accounts for compounding and sequence of returns, reflecting actual dollar growth.
Can I calculate annualized returns for periods shorter than a year?
Yes. If an investment gained 5% over 6 months (0.5 years), the annualized return formula is: (1.05) ^ (1 / 0.5) - 1 = 10.25%. However, annualizing short-term performance (e.g., extrapolation of a single week’s gains) can create unrealistically high return projections.
Does Annualized Return include dividends?
To calculate true total annualized return, you should add all dividends received and reinvested back into the Ending Value before running the calculation.