Why a multi-year ROI is not an annual return

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Simple ROI measures the total return over the holding period. Investments with different durations cannot be compared fairly by treating that percentage as if each were earned in one year.

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Label the period beside the result

A change from cost to final value may span a month, a year or many years. The ROI tool does not read acquisition and sale dates and does not automatically annualize its output. Record the holding period alongside the percentage. A larger total return earned over much longer can imply a different annual growth rate from a smaller return earned quickly.

Calculate an equivalent annual rate

Start with 10,000 and finish with 12,100 after two years, with no intermediate cash flows or expenses. Total ROI is 21%. The constant annual rate that produces the same endpoint is √1.21 − 1 = 10%, not 10.5% from dividing 21% by two. Annualization compounds the growth factors; simple division does not reproduce the same final value.

Use a more suitable method for intermediate cash flows

Contributions, withdrawals or distributions during the period can make a simple starting-and-ending formula unsuitable for measuring annualized performance. The ROI amounts can still help reconcile costs and proceeds, but cash-flow timing requires its own analysis. The equivalent annual rate in the example is a mathematical summary, not a guarantee for the next year or a description of the investment’s volatility and risk.

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