How the Math Works
The CPI is an index of average prices for a basket of consumer goods, anchored at 100 for 1982??4. To convert dollars from one year to another:
value_new = value_old 횞 (CPI_new / CPI_old)
Example: $100 in 1970 (CPI 38.8) is equivalent to $100 횞 (314.069 / 38.8) ??$809 in 2024.
What CPI Misses
- Quality changes ??CPI tries to adjust for improvements (a 2024 car is not the same product as a 1970 car), but the methodology is debated.
- Substitution ??when steak gets expensive, people eat more chicken; older CPI methods didn't capture this.
- Owner-occupied housing ??measured via "owners' equivalent rent" rather than home prices, which can diverge sharply.
- Personal experience ??your own inflation depends on your spending mix. People in expensive cities or with high medical costs typically experience higher inflation than the headline.
References
U.S. Bureau of Labor Statistics ??Consumer Price Index. bls.gov/cpi