Compound Annual Growth Rate

Enter years directly, or use the date fields on the right.

If set, we compute years from dates (~ACT/365.25). Clear both to edit “Years”.

Used to compute a “real” CAGR (inflation-adjusted).

Results

CAGR
0.1%

Annualized geometric growth rate.

Total Return
0.21%

Overall change from beginning to end.

Real CAGR (inflation-adjusted)
0.1%

Uses (1+nominal)/(1+inflation) − 1.

Doubling Time
Exact: 7.27 yrs
Rule-of-72 ≈ 7.2 yrs

Exact = ln(2) / ln(1+CAGR). Rule-of-72 is a quick estimate.

CAGR uses (End/Begin)^(1/Years) − 1 and is widely used to compare investments across time. Real CAGR adjusts for inflation with a Fisher-style relation. See overview, Fisher equation, and Rule of 72.

Worked example

If Begin=10,000, End=12,100 over 2 years: CAGR = (12,100/10,000)^(1/2) − 1 ≈ 10%. If inflation is 4%/yr, Real CAGR ≈ (1.10/1.04) − 1 ≈ 5.77%. At 10% CAGR, doubling time is ~7.27 years (Rule-of-72 ≈ 7.2 years).

Notes & caveats
  • CAGR is a geometric average; arithmetic averages can overstate performance when returns are volatile. (Geometric ≤ arithmetic; difference grows with variance.)
  • Year count uses an ACT/365.25 approximation when dates are provided; day-count conventions can vary by context.
  • For cash flows between begin/end, use IRR/XIRR instead of CAGR.
Geometric meanReal vs nominalDoubling time
CAGR | Calculators