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Growth Rate Calculator

Growth Rate Calculator works out Compound growth rate per period and Growth rate as a decimal from Beginning value, Ending value and Number of periods. The default figures on this page give compound growth rate per period of 14.8698 %; change any entry and the result, the working and the sources update together.

Compound growth rate per period
14.8698 %
CAGR Calculator (Compound Annual Growth Rate)
Growth rate as a decimal
0.14869835
Total growth over the whole period
100.0000 %
Growth multiple (ending / beginning)
2.000000
Absolute change
10,000.0000
Periods to double at this rate
5.000 periods
Worked out from Compound annual growth rate: the geometric mean return, rate = (ending / beginning)^(1/n) - 1 and 2 other sources.
This is the geometric rate between the two endpoints only. Intermediate volatility, cash flows added or withdrawn along the way, inflation and any forecast of future growth are outside its scope.

Your figures

Updates as you type
The starting value. Must be greater than zero - a growth rate from zero is undefined.
The value after the growth period. Zero is allowed and gives -100%.
Usually years. Fractional periods are allowed.

How this is worked out

5 steps
  1. Growth multiple = ending / beginning = 20000 / 10000 = 2
  2. Compound rate per period = multiple^(1/5) - 1 = 2^0.2 - 1 = 0.1486983549970351
  3. As a percentage: 14.869835499703509% per period
  4. Total growth over all 5 periods = 100 x (2 - 1) = 100%
  5. Doubling time = ln(2) / ln(1 + 0.1486983549970351) = 4.999999999999997 periods
Value at the end of each periodtable
periodvalue
111,486.98355
213,195.079108
315,157.165665
417,411.011266
520,000

Its 5 worked examples are re-run on every release, last on 15 September 2026. What changed

Sources and references

3 sources
Compound annual growth rate: the geometric mean return, rate = (ending / beginning)^(1/n) - 1
CFA Institute, Quantitative Methods: the geometric mean return of a holding period
The compound rate that links two endpoints over n periods is the nth root of the wealth relative, less one.

Keep this result

Save it, change one figure, then compare the two

The calculation stays free. Save this scenario, adjust one assumption, save that too, and put them side by side to see exactly what the change costs you. A free account keeps 5 scenarios and 2 comparisons; Personal makes both unlimited and adds exports and private links. Nothing is saved unless you press Save.

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What the Growth Rate Calculator calculates

Computes the compound annual growth rate between a beginning and an ending value over a number of periods, together with the total cumulative growth, the growth multiple and the value at the end of each period.

How to use this Growth Rate Calculator

Enter Beginning value, Ending value and Number of periods. Compound growth rate per period updates as you type. Change one figure at a time to see what drives the result.

How the result is worked out

Open “How this is worked out” beside the result for the step-by-step calculation behind Compound growth rate per period, Growth rate as a decimal and Total growth over the whole period.

The method follows Compound annual growth rate: the geometric mean return, rate = (ending / beginning)^(1/n) - 1, CFA Institute, Quantitative Methods: the geometric mean return of a holding period and OpenStax, Elementary Algebra 2e - proportional relationships.

What you can compare

Change one input at a time to see how it affects Compound growth rate per period, Growth rate as a decimal and Total growth over the whole period. The inputs you can vary are Beginning value, Ending value and Number of periods.

Results are general information, not financial, tax, legal, medical or engineering advice. Check any decision that matters with a qualified professional.

Embed this calculator on your website

Copy this code into any page. The calculator appears with the figures currently entered, sizes itself to fit, and a small credit line links back here. Free, no account, no ads inside it, no tracking of your readers. Set your own figures and fixed fields; Personal removes the credit line, sets your colour and shows you which sites use it.

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Frequently asked questions

How to calculate growth on a calculator?

Computes the compound annual growth rate between a beginning and an ending value over a number of periods, together with the total cumulative growth, the growth multiple and the value at the end of each period. Open “How this is worked out” beside the result to see each step for your own figures.

How do I calculate a growth rate?

It needs Beginning value, Ending value and Number of periods. Nothing else is required, and the figures stay in your browser.

What information do I need for the Growth Rate Calculator?

You need Beginning value, Ending value and Number of periods. The page opens with default figures that give compound growth rate per period of 14.8698 %, so you can see the scale before entering your own.

What does this Growth Rate Calculator show?

It shows Compound growth rate per period, Growth rate as a decimal, Total growth over the whole period, Growth multiple (ending / beginning), Absolute change, Periods to double at this rate and Value at the end of each period, with the working and any warnings for your entries.

Can I check how the Growth Rate Calculator result was calculated?

Yes. The “How this is worked out” section shows the calculation steps, and the sources section identifies the references used for the method.

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