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)
Alaska example — $$14,350/year at 7%:
- After 10 years: $198,266 ($143,500 contributed)
- After 20 years: $588,285 ($287,000 contributed)
- After 30 years: $1,355,512 ($430,500 contributed + $925,012 gains)