A 57% total return is not the same statement as 9.4% annual growth.
Cumulative total return describes the entire holding period. CAGR translates the start and end into an equivalent constant annual growth rate. They answer different questions.
Separate price change from cash dividends first
Let S be the starting value, E the ending value, and D the cumulative dividends received in cash. Price return is (E-S)/S, dividend return is D/S, and cumulative total return is their sum: (E+D-S)/S.
CAGR is an imaginary constant rate connecting the start and end
For a holding period of Y years, CAGR is the annual rate that would turn the starting value into the ending value plus cash dividends if growth happened at the same rate every year. It does not mean the investment actually earned that rate each year.
CAGR = ((E + D) ÷ S)^(1/Y) - 1Worked example: 10,000,000 becomes 14,500,000 plus 1,200,000 cash dividends over five years
Price return is 45%, dividend return is 12%, and cumulative total return is 57%. Annualizing the path from 10,000,000 to 15,700,000 including dividends gives a CAGR of about 9.4%.
Simply dividing 57% by five gives 11.4%, which is not CAGR. Compounding makes each year’s ending value the next year’s starting point, so annualization requires an exponent rather than simple division.
Do not add reinvested dividends twice
If the ending value E already includes dividends that were reinvested, do not enter those same dividends again as D. Use D only for cumulative cash dividends that sit outside the ending valuation; otherwise total return is overstated.
Where CAGR helps—and where it does not
- It helps compare outcomes with different holding periods on a common annual basis.
- It can hide large interim losses and volatility, so it is not a risk measure.
- If there were additional purchases or withdrawals, a simple CAGR does not account for those cash flows.
The scope of this calculator
Future Balance’s total-return calculator assumes one uninterrupted holding period with no additional purchases or withdrawals. The starting value must be positive. CAGR is undefined when the ending value plus cash dividends is zero or negative.
Return alone cannot describe investment quality
Two investments with the same CAGR can have different drawdowns, recovery times, volatility, fees, and tax outcomes. Use the result to summarize a past interval or compare explicit assumptions—not as a guarantee of future performance.