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Geometric Growth Calculator

Project geometric growth and find the constant rate that links two values.

About Geometric Growth Calculator

CAGR is the constant annual rate that would take the beginning value to the ending value over the period. It smooths out the year-to-year volatility that makes raw growth rates hard to compare. Averaging annual growth rates arithmetically overstates performance; CAGR is the geometric rate that actually reconciles the start and end values of a series.

Formula

Geometric Growth

CAGR = (ending ÷ beginning)^(1 ÷ periods) − 1

Starting value
Beginning value
Ending value
Ending value
periods
Number of years elapsed

Worked example

With the default values below, Geometric Growth Calculator returns Compound Annual Growth Rate of 20.112%. Change any input above and every figure here is recalculated in your browser.

Inputs used

Starting valueminimum 0.01
1,000
Ending valueminimum 0
2,500
Number of periodsaccepts 0.25–60 years
5 years

Results

Compound Annual Growth Rate
20.112%
Total Growth Over Period
150.00%
Growth Multiple
2.500
Years to Double at This Rate
3.78

Step by step

  1. 1Values used
  2. 2Geometric Growth
  3. 3Compound Annual Growth Rate= 20.112
  4. 4Total Growth Over Period= 150.00
  5. 5Growth Multiple= 2.500
  6. 6Years to Double at This Rate= 3.78

Assumptions and limits

  • The result is derived only from the 3 inputs listed above. Anything not among them is not part of the calculation.
  • In particular, this calculator does not take inflation, tax or fees or charges into account.
  • Figures are rounded for display to 3 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

How is Geometric Growth calculated?

CAGR = (ending ÷ beginning)^(1 ÷ periods) − 1 CAGR is the constant annual rate that would take the beginning value to the ending value over the period. It smooths out the year-to-year volatility that makes raw growth rates hard to compare.

Why does Geometric Growth matter?

Averaging annual growth rates arithmetically overstates performance; CAGR is the geometric rate that actually reconciles the start and end values of a series.

What values do I need to enter?

This calculator takes 3 inputs: Starting value, Ending value, Number of periods. The pre-filled defaults are a realistic starting point — replace them with figures from your own environment for a result you can act on.

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