CAGR Calculator

CAGR turns total growth into an annual rate, which is the only fair way to compare investments held for different lengths of time.

Formula

CAGR = ( (end ÷ start)^(1 ÷ years) − 1 ) × 100

  • The smoothed annual rate that turns the start value into the end value
  • It says nothing about the path taken, or about volatility

£1,000 to £2,000 over 5 years: (2)^0.2 − 1 = 14.87% a year

The Formula

CAGR = (Ending value ÷ Beginning value)1/years − 1

£10,000 growing to £18,000 over five years gives (1.8)0.2 − 1 = 12.47% a year.

Multiply by 100 for a percentage. The result is the steady annual rate that would have produced the same outcome.

Why It Beats Total Return

Total return ignores time entirely. An 80% gain is outstanding over five years and unremarkable over twenty, yet both report 80%.

CAGR normalises for duration, which is why fund factsheets quote annualised figures. Comparing a 3-year holding against a 10-year one on total return alone is meaningless.

What CAGR Hides

CAGR describes a smooth path that almost never happened. An investment that fell 50% then tripled shows a healthy CAGR while having been a white-knuckle ride.

It uses only the first and last values, so it says nothing about volatility or the route taken. It also ignores deposits and withdrawals along the way — for those, money-weighted measures such as IRR are the right tool.

And remember it is nominal: a 12% CAGR with 3% inflation is roughly 9% in real terms.

Quick Reference

The same growth over different periods. Time changes everything.
StartEndYearsCAGR
£1,000£1,500314.47%
£1,000£2,000514.87%
£10,000£25,000109.60%
£5,000£4,0004−5.43%

Frequently Asked Questions

How do I calculate CAGR?
Divide the ending value by the beginning value, raise to the power of one over the number of years, then subtract one. £10,000 to £18,000 over five years is 12.47 per cent.
What is the difference between CAGR and average return?
A simple average of yearly returns overstates growth because it ignores compounding. CAGR gives the rate that actually reproduces the end value.
Is a good CAGR 10 per cent?
Broad stock market returns have historically averaged around 7 to 10 per cent a year before inflation, which is the usual benchmark for long-term comparison.
Does CAGR account for deposits I made along the way?
No. It uses only the first and last values. For portfolios with contributions or withdrawals, IRR is the appropriate measure.

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