The Inflation Formula Explained
Inflation uses the compound growth formula:
Future Cost = Present Value × (1 + r)^t
Real Purchasing Power = Present Value ÷ (1 + r)^t
r = annual inflation rate | t = years
At the historical 3.1% U.S. average inflation rate:
| Year | Cost to Buy $1,000 Today | Real Value of $1,000 | PP Loss |
|---|---|---|---|
| 10 years | $1,357 | $737 | 26% |
| 20 years | $1,842 | $543 | 46% |
| 30 years | $2,499 | $400 | 60% |
For Minnesota's median income: if $87,117/year does not grow with inflation, its real purchasing power drops to $64,197 in 10 years — a $22,920 real loss. This is why annual raises below inflation are effectively pay cuts, and why investing at returns above inflation is essential to building real wealth.