Canada CAGR calculator
Work out the compound annual growth rate (CAGR) of an investment — the single smoothed yearly rate that turns your starting value into your ending value — so you can compare investments held over different periods on a level footing.
Investment details
CAGR is the constant annual rate that turns the starting value into the ending value over the period. It assumes growth compounds and ignores any deposits or withdrawals in between.
- Starting value
- $10,000.00
- Ending value
- $25,000.00
- Total gain
- $15,000.00
- Period
- 5 years
Growing $10,000.00 into $25,000.00 over 5 years is a compound annual growth rate of 20.11% — the rate that lets you compare investments held for different lengths of time on a level footing.
How CAGR works
The compound annual growth rate answers one question: at what steady yearly rate would your starting amount have to grow to reach the ending amount over the period? The formula is CAGR = (ending / starting)^(1 / years) − 1. Unlike a simple average of yearly returns, CAGR accounts for compounding, so it reflects the real rate that links the two endpoints.
Worked example
An investment grows from $10,000 to $25,000 over 5 years. The total return is 150%, but the CAGR is (25,000 / 10,000)^(1/5) − 1 = 0.201, or about 20.1% a year. "150% over five years" and "20% a year" describe the same result — CAGR just makes it comparable to other investments held for different lengths of time.
Why CAGR beats a simple average
Suppose a fund returns +50% one year and −50% the next. The simple average is 0%, but $100 becomes $150 then $75 — a real loss. CAGR captures this: (75/100)^(1/2) − 1 = −13.4% a year. Whenever returns vary, a simple average overstates performance; CAGR tells the truth.
What CAGR doesn't show
- The ride. CAGR smooths everything into one number and hides volatility — two investments with the same CAGR can have very different drawdowns along the way.
- Contributions. It assumes a single lump sum. If you added or withdrew money, the ROI calculator handles costs and the investment calculator handles regular contributions.
- Inflation. CAGR is nominal. Subtract inflation for real growth in purchasing power — see the inflation calculator.
For the maths of compounding behind it, read compound interest explained.
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Frequently asked questions
What is a good CAGR for an investment?
What's the difference between CAGR and average annual return?
Can CAGR be negative?
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