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Compound Annual Growth Investment Calculator

Work out the compound annual growth rate an investment achieved over its holding period.

About Compound Annual Growth Investment 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 investment.

Formula

Compound Annual Growth Investment

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

Amount invested
Beginning value
Value today
Ending value
periods
Number of years elapsed

Worked example

With the default values below, Compound Annual Growth Investment Calculator returns Compound Annual Growth Rate of 13.936%. Change any input above and every figure here is recalculated in your browser.

Inputs used

Amount investedminimum 0.01
25,000
Value todayminimum 0
48,000
Number of periodsaccepts 0.25–60 years
5 years

Results

Compound Annual Growth Rate
13.936%
Total Growth Over Period
92.00%
Growth Multiple
1.920
Years to Double at This Rate
5.31

Step by step

  1. 1Values used
  2. 2Compound Annual Growth Investment
  3. 3Compound Annual Growth Rate= 13.936
  4. 4Total Growth Over Period= 92.00
  5. 5Growth Multiple= 1.920
  6. 6Years to Double at This Rate= 5.31

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.
  • This is an estimate for general information and not professional financial, tax or legal advice. See the full disclaimer for the limits that apply to this kind of calculator.

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 Compound Annual Growth Investment 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 Compound Annual Growth Investment matter?

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

What values do I need to enter?

This calculator takes 3 inputs: Amount invested, Value today, 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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