The ROI formula
Return on investment is the net gain divided by what you put in, as a percentage:
A positive ROI means a profit; a negative one means a loss. ROI alone ignores how long the money was tied up, which is why the annualized figure matters.
Worked example
Invest $1,000, end with $1,500:
Annualized ROI (CAGR)
A 50% return is impressive in one year but mediocre over ten. The annualized ROI, or compound annual growth rate, puts every investment on the same yearly footing:
That same $1,000 → $1,500 over 3 years is an annualized return of about 14.47% — the rate that, compounded for three years, turns $1,000 into $1,500.