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Core inflation

Understand core inflation, reweight an excluded basket, and distinguish fixed exclusions from trimmed means and weighted medians.

Core inflation is a measure of consumer-price inflation designed to help identify the underlying price trend by excluding selected categories or reducing the influence of unusually large price changes. Its exact meaning depends on the named series. For a quant forecasting inflation or interpreting a release, that definition is part of the data: two series labelled “core” can retain different prices and produce different signals.
A familiar example is the US CPI-U all items less food and energy, commonly called core CPI. Food and energy remain in the all-items index used to measure headline inflation; publishing core does not remove them from headline. BLS explains this distinction.

A smaller basket needs its own denominator

Consider a fictional one-period, fixed-quantity basket. At the start of the period, the retained “core” block accounts for 80% of expenditure and the excluded block for 20%. Their prices rise 2% and 10%, respectively, over the same period. These are prior-period expenditure shares, not counts of products or official CPI weights.

For this simple basket, the headline rate is exactly

πH=0.80(0.02)+0.20(0.10)=0.036=3.6%.\pi_H=0.80(0.02)+0.20(0.10)=0.036=3.6\%.
The retained block contributes 1.6 percentage points to headline inflation, and the excluded block contributes 2.0 percentage points. Removing the excluded contribution leaves 1.6 percentage points, but that is not the core rate. It still uses the full basket as its denominator. Renormalising the retained weight gives
πC=0.80(0.02)0.80=0.02=2%.\pi_C=\frac{0.80(0.02)}{0.80}=0.02=2\%.
Fictional basket starts at 100 expenditure units: retained core costs 80 then 81.6, excluded block costs 20 then 22, and total costs 100 then 103.6. Headline inflation is 3.6%; core inflation is 81.6 divided by 80 minus one, or 2%.
Fictional basket starts at 100 expenditure units: retained core costs 80 then 81.6, excluded block costs 20 then 22, and total costs 100 then 103.6. Headline inflation is 3.6%; core inflation is 81.6 divided by 80 minus one, or 2%.
Original fictional fixed-quantity example. The retained block contributes 1.6 percentage points to headline, but its own rate is 2% after dividing by its starting cost of 80.

Equivalently, start with 100 expenditure units: the unchanged quantities now cost 81.6+22=103.681.6+22=103.6. Headline inflation is 103.6/100−1=0.036=3.6%103.6/100-1=0.036=3.6\%, while the retained basket rises by 81.6/80−1=0.02=2%81.6/80-1=0.02=2\%. The identity illustrates exclusions and reweighting. It does not reproduce official index compilation, chain linking, quality adjustment or changes in expenditure weights.

“Core” does not specify one universal filter

MeasureHow it treats componentsWhat to check
Fixed-exclusion measureRemoves named categories regardless of their price change this periodExact excluded categories and parent index
Trimmed meanOrders component price changes and averages a central portion using expenditure weightsTrim proportions, seasonal adjustment and calculation period
Weighted medianTakes the price change at the middle of the weighted distributionWeighting and percentile convention
Australia illustrates the difference. The ABS CPI excluding volatile items excludes fruit, vegetables and automotive fuel, rather than the US core CPI list. Its monthly trimmed mean uses the middle 70% of the weighted distribution of seasonally adjusted component price changes; its weighted median uses the component at the 50th percentile. These are shares of expenditure weight, not percentages of the number of products. The components trimmed can change each period. See the ABS September 2026 methodology and RBA measurement explainer.

A signal, with limits

Core measures help analysts assess whether a broad inflation trend is persisting through sharp movements in particular categories. They do not prove that every retained price change is persistent. Core can still be volatile, and food or energy cost increases can affect retained goods and services through production and transport costs. A low core reading also does not describe every household's spending: excluded essentials still have to be purchased. The Federal Reserve explains why it monitors core alongside broader price measures.

Nor must core be lower than headline. If excluded prices fall while retained prices rise, core can exceed headline. The gap tells you about the composition of measured price changes; it is not a discount households receive.

When comparing releases, keep the jurisdiction, parent index and exclusion rule attached to the observation. Match month-on-month, quarter-on-quarter or year-on-year horizons, seasonal-adjustment basis and any annualisation. For a forecast backtest, store the release timestamp and vintage available then. Revised seasonal factors can change underlying-inflation history: the ABS explicitly distinguishes revisable seasonally adjusted series from its original CPI indexes in its revisions guidance.

Check the direction

In a separate fictional one-period fixed-quantity basket, the retained block has a prior-period expenditure share of 75% and rises 4%; the excluded block has a 25% share and falls 8%. Is headline or core inflation higher?

Answer. Headline is 0.75(0.04)+0.25(−0.08)=0.01=1%0.75(0.04)+0.25(-0.08)=0.01=1\%. Core is 0.75(0.04)/0.75=0.04=4%0.75(0.04)/0.75=0.04=4\%, so core is 3 percentage points higher. Excluding the falling-price block raises the measured rate; exclusion does not mechanically make inflation lower.

Sources

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  • core inflation
  • underlying inflation
  • consumer prices
  • exclusions
  • trimmed mean
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