CAGR calculator

Turn a starting value, an ending value and a period into a yearly growth rate, and see what a rate does to a starting amount.

Calculator

$
$
Period
yr

Assumes one amount at the start and nothing added or taken out since.

CAGR

+12.47%

a year, compounded

Total return
+80.00%
Multiple
1.80×
Period
5.00 years
Same rate for 10 years
$32,400
Same rate for 20 years
$104,976

The 10 and 20 year rows are what the starting value becomes if the same rate continued. They are arithmetic, not a forecast.

On this page4 sections
  1. 1What CAGR is
  2. 2Using dates
  3. 3What CAGR hides
  4. 4Average return is not CAGR

What CAGR is

Compound annual growth rate is the steady yearly return that would take a starting value to an ending value over the same time. It lets you compare a five-year result with a twelve-year one.

CAGR = (ending value / starting value) ^ (1 / years) − 1

Worked
  1. $10,000 grows to $18,000 in 5 years.
  2. 18,000 / 10,000 = 1.8
  3. 1.8 ^ (1/5) = 1.1247
  4. CAGR = 12.47% a year. The total return is 80%.

Using dates

If you enter two dates instead of a number of years, the period is the days between them divided by 365.25. That is the same convention our backtests use, so a CAGR from this page matches the one on a strategy page for the same values and dates.

What CAGR hides

  • The path. Two investments with the same CAGR can have very different worst years. CAGR says nothing about the falls along the way. Pair it with max drawdown.
  • Short periods. Annualising three months turns a 5% gain into about 22% a year. We do not show a CAGR for less than one year in the product, and the calculator warns you when you ask for one.
  • Start and end dates. Start at a market low and end at a high and almost anything looks good.
  • Money added or withdrawn. CAGR assumes one deposit at the start and nothing since. With regular contributions you need a money-weighted return instead.
  • Costs, taxes and inflation, unless you have already taken them out of the ending value.

Average return is not CAGR

Why the average flatters
  1. Year one: +50%. Year two: −50%.
  2. Average yearly return: 0%.
  3. But $100 becomes $150, then $75. CAGR is −13.4% a year.

Something here wrong or unclear? Tell us. Informational only, not investment advice.

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