Statistical Calculators

Economy & Everyday Statistics

Inflation Is Falling, So Why Do Prices Still Feel High?

Published · 3 min read

"Inflation has fallen" is good news in a spreadsheet and bad news at the checkout. Many people notice that prices are still much higher than a few years ago, and some feel that inflation figures do not match their lives. Both reactions are reasonable, and statistics explains why they can coexist.

Shopping cart with price tags and arrows pointing in different directions

Lower inflation is not lower prices

Inflation measures how fast prices rise, not their level. If prices rise 5% in one year and 2% the next, the cumulative increase is 1.05 × 1.02 − 1 = 7.1%. Falling inflation means the climb is slowing, not that prices are coming down. A scientific calculator handles such compounding, which is also why three years of 2% inflation is 6.12%, not 6%.

The official basket is an average

The CPI weights price changes by how households spend their money, using expenditure surveys, and most item groups are combined with a geometric mean (BLS methods). Consider a simple basket: housing 35% (up 4.0%), food 15% (+2.0%), transport 15% (−1.0%), clothing 5% (−4.0%), health 10% (+2.5%), recreation 10% (+1.0%) and other 10% (+1.5%). The weighted result is about 1.85%.

Your basket is not the average

A renter who spends 50% on housing, 25% on food, 15% on transport and 10% on other items would experience about 2.5% with the same price changes. Nothing is wrong with the index. The household simply does not match the average household. The descriptive statistics calculator can summarize your own set of price changes, and the five-number summary calculator shows how spread out they are.

The spread itself matters. In our basket the simple mean of the seven category changes is 0.86%, but the median is 1.5%, and categories differ widely. When one big item rises fast, average inflation can hide the experience of anyone exposed to it.

Why we notice some prices more

Perception also differs. The ECB notes that people notice frequent out-of-pocket purchases more and infrequent purchases or automatic payments less (ECB). Research summarized by the BLS calls this frequency bias, and finds that an index weighted toward frequently bought items is more volatile than the CPI (BLS Monthly Labor Review).

Wages complicate it further. A price level that is 7% higher hurts if pay grew only 3%, and the official inflation rate cannot tell you that. Comparing your own pay and spending with the index is the real test.

Housing and the timing of contracts

Shelter is the largest single item in many baskets, and shelter costs move slowly and unevenly. A household that just signed a new lease or took out a new mortgage faces different price changes from one that signed years ago, so two renters in the same city can experience very different inflation. Averages cannot see that.

Index construction choices matter as well. Quality changes, new products and the substitution of cheaper items when prices jump all affect the measured rate. Statistical offices document these choices. Economists also watch core measures, medians and trimmed means, since a single figure cannot carry all of this.

In short, the index answers a precise question about an average basket. Your question is about your own.

The next time inflation "falls," ask three questions: lower than what, measured for which basket, and what happened to the price level and to wages in the meantime?

Compute your own: enter your spending shares and price changes into the scientific calculator and compare the result with the headline.

Sources and further reading

  1. US BLS, Handbook of Methods: Consumer Price Index calculation
  2. ECB, What is inflation? (perceived inflation)
  3. US BLS Monthly Labor Review, A price index that matches perceptions of inflation