How to calculate percentage return and annualized CAGR
Percentage return measures how much an investment gained or lost over a holding period, expressed as a percentage of the initial capital. When you also know how long you held the asset, you can annualize that result into a compound annual growth rate (CAGR) that smooths year-to-year volatility into a single yearly figure.
This calculator is useful when you know your starting balance, ending market value, any dividends or income received, and the number of years invested. For a deeper breakdown of capital gains versus income distributions, use the holding period return calculator. To project forward from a target CAGR instead of analyzing past performance, try the CAGR calculator.
Total percentage return formula
Total return includes both price appreciation and cash income such as dividends or interest. The holding period return formula is:
Where is the initial investment, is the final market value, and is dividends or other income received during the holding period.
Annualized return (CAGR) formula
CAGR converts a multi-year total return into an equivalent constant annual rate, assuming profits were reinvested:
Here is the holding period in years. CAGR is also called the geometric mean return and is the standard way to compare investments held for different lengths of time.
Worked example
Suppose you invested $1,000, the position grew to $1,500 after three years, and you received no dividends.
- Total return: ($1,500 - $1,000) / $1,000 × 100 = 50%
- CAGR: ($1,500 / $1,000)^(1/3) - 1 ≈ 14.47% per year
The 50% total return and 14.47% CAGR describe the same investment from two perspectives: one shows the full gain over three years, the other expresses it as an annualized rate.
When to use total return vs CAGR
- Total percentage return answers: how much did I make overall on this trade or position?
- CAGR answers: what steady yearly rate would have produced the same ending value?
- Use CAGR to compare a 3-year stock holding against a 7-year bond fund or a 10-year index fund.
Frequently asked questions
Does percentage return include dividends?
What is the difference between total return and CAGR?
Can CAGR be negative?
Why does CAGR differ from a simple average of yearly returns?
What holding period should I enter?
Are my inputs saved on a server?
Resources and references
The formulas and methods in this calculator were checked against these independent sources.