What Is CAGR (and Why It's Not the Same as Average Return)
CAGR smooths out the bumpy years into one honest number — but it can also hide how bumpy the ride actually was.
The definition
CAGR (Compound Annual Growth Rate) is the single steady annual rate that would take your starting value to your ending value over a given number of years, as if it grew smoothly every year instead of jumping around. Formula: CAGR = (Ending Value / Starting Value)^(1/years) − 1.
Why it's different from 'average return'
Say an investment goes up 50% in year 1, then down 50% in year 2. The simple average of those two numbers is 0%. But if you actually lived through it: ₹100 → ₹150 → ₹75. You lost money — a 2-year CAGR of about −13.4%, not the 0% the naive average suggests. Averaging percentage returns directly is mathematically wrong whenever there's any volatility, which is basically always with real investments.
CAGR fixes this by working backward from the actual start and end values, not by averaging the yearly percentages. It's the correct way to describe multi-year growth in a single number.
What CAGR hides
A 12% CAGR over 10 years could have been a smooth 12% every year, or it could have been +40%, −20%, +35%, −10%... averaging out to the same endpoint through a much rougher ride. CAGR tells you nothing about that volatility — two investments with identical CAGR can feel completely different to actually hold, especially if you need the money at a bad moment mid-way.
Simple average of the yearly returns (+50%, then −50%) suggests 0% — implying you broke even.
Actual CAGR: (75,000 / 100,000)^(1/2) − 1 ≈ −13.4% per year. You genuinely lost money over those 2 years, and CAGR reports that correctly while a naive average return does not.
Common mistakes
- Comparing two investments' CAGR without asking how volatile the path was to get there — same CAGR can mean very different risk.
- Averaging yearly percentage returns directly instead of computing CAGR from start/end values — this overstates returns whenever there's volatility.
- Assuming a fund's historical CAGR will repeat going forward — CAGR describes the past precisely; it doesn't predict the future.
Frequently asked questions
What is CAGR and how is it different from average return?
CAGR is the single steady annual rate that would take your starting value to your ending value over a period, computed from the actual start/end values — unlike a naive average of yearly percentage returns, which overstates performance whenever there's volatility.
Does a high CAGR mean the returns were smooth?
No. A 12% CAGR over 10 years could have been a steady 12% every year, or a much rougher mix of large ups and downs averaging out to the same endpoint — CAGR says nothing about how volatile the ride was.
The example above uses illustrative figures — the tool is real, so change any input and it recalculates instantly.
Try it: project growth at a specific CAGR →