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
| Start | End | Years | CAGR |
|---|---|---|---|
| £1,000 | £1,500 | 3 | 14.47% |
| £1,000 | £2,000 | 5 | 14.87% |
| £10,000 | £25,000 | 10 | 9.60% |
| £5,000 | £4,000 | 4 | −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.