The inflation formula
Inflation compounds just like interest. The future cost of something that costs P today, after t years at an average annual inflation rate i, is:
The flip side is buying power: the same money buys less. The real (today's-dollars) value of a future amount is P ÷ (1 + i)t. The percentage of buying power kept is 1 ÷ (1 + i)t.
Worked example
$1,000 at 3% average inflation over 20 years:
Nominal vs real value
A "nominal" figure is the face amount of money; a "real" figure adjusts for inflation so amounts from different years can be compared fairly. Long-run U.S. inflation has averaged roughly 2–3% per year, but it varies. This tool lets you test any rate so you can see how sensitive long-term plans are to inflation assumptions.