CAGR Calculator
CAGR Calculator (Compound Annual Growth Rate) 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.
Your figures
Updates as you typeHow this is worked out
5 steps
- Growth multiple = ending / beginning = 20000 / 10000 = 2
- Compound rate per period = multiple^(1/5) - 1 = 2^0.2 - 1 = 0.1486983549970351
- As a percentage: 14.869835499703509% per period
- Total growth over all 5 periods = 100 x (2 - 1) = 100%
- Doubling time = ln(2) / ln(1 + 0.1486983549970351) = 4.999999999999997 periods
Value at the end of each periodtable
| period | value |
|---|---|
| 1 | 11,486.98355 |
| 2 | 13,195.079108 |
| 3 | 15,157.165665 |
| 4 | 17,411.011266 |
| 5 | 20,000 |
Its 5 worked examples are re-run on every release, last on 15 September 2026. What changed
Sources and references
3 sources
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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.
What the CAGR Calculator (Compound Annual Growth Rate) 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 CAGR Calculator (Compound Annual Growth Rate)
Enter Beginning value, Ending value, Number of periods and Headline figure. Compound growth rate per period updates as you type, and “Use a worked example” loads checked figures you can adjust. 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.
Research R1939-GT-1: 100 to 121 over 2 periods example
With Beginning value: 100, Ending value: 121, Number of periods: 2, the calculator returns Compound growth rate per period: 10, Total growth over the whole period: 21. This example is checked against an independent source in the test suite.
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, Number of periods and Headline figure.
Results are general information, not financial, tax, legal, medical or engineering advice. Check any decision that matters with a qualified professional.
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Frequently asked questions
How do you calculate CAGR growth?
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.
What is a good CAGR growth rate?
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. On this page it is computed from Beginning value, Ending value and Number of periods and shown as Compound growth rate per period, Growth rate as a decimal and Total growth over the whole period.
What does a 10% CAGR mean?
It needs Beginning value, Ending value, Number of periods and Headline figure. Nothing else is required, and the figures stay in your browser.
What CAGR will double in 5 years?
The result gives Compound growth rate per period, Growth rate as a decimal, Total growth over the whole period, Growth multiple (ending / beginning), Absolute change and Periods to double at this rate, each labelled with its unit so the figure can be read on its own.
What information do I need for the CAGR Calculator (Compound Annual Growth Rate)?
You need Beginning value, Ending value, Number of periods and Headline figure. 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 CAGR Calculator (Compound Annual Growth Rate) 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.