Investment Return Formulas
Total return on a lump sum:
FV = PV × (1 + r)^t
PV = initial investment | r = annual return | t = years
CAGR (Compound Annual Growth Rate):
CAGR = (Ending Value ÷ Beginning Value)^(1 ÷ Years) − 1
With annual contributions:
FV = PMT × [(1 + r)^t − 1] ÷ r
PMT = annual contribution (end of year)
New Hampshire example — $$14,967/year at 7%:
- After 10 years: $206,791 ($149,670 contributed)
- After 20 years: $613,580 ($299,340 contributed)
- After 30 years: $1,413,795 ($449,010 contributed + $964,785 gains)