Working with data / WORKSHOP
Inflation slowed. Does that mean prices fell?
The annual rate can fall while the price index keeps rising. Separate the price level, monthly change and annual comparison.

How it works
CPI change over a period is calculated from two values of the same index: (new index / old index − 1) × 100%. The monthly rate compares adjacent months; the annual rate compares the current month with the same month a year earlier. When an unusually strong or weak month leaves the annual comparison base, the annual rate can move substantially even if the current monthly change is small.
BLS commonly presents the 1-month change on a seasonally adjusted basis and the 12-month change on a not seasonally adjusted basis. Do not mechanically add or subtract these series. A slower positive rate is disinflation; a decline in the index itself is deflation over the selected period. Index levels for different regions or populations are not direct comparisons of living-cost levels. All-items CPI is a weighted aggregate, so a simple average of category rates is wrong. Published relative importance can support an approximate contribution check, but it is not a permanent fixed weight; use the BLS-calculated index for the exact all-items rate.
What to check
- Identify the index: all items or an exclusion measure, seasonally adjusted or not.
- Record both comparison points: the previous month for m/m and the same month one year earlier for y/y.
- Calculate changes from index levels and round only the result; do not add rounded monthly rates to create an annual rate.
- When reviewing category contributions, check their relative importance and do not average percentage changes without weights.
A hypothetical example
All figures are hypothetical. The index is 100.0 one year ago, 102.5 one month ago and 103.0 now. Current monthly change: (103.0 / 102.5 − 1) × 100% ≈ +0.49%. Annual change: (103.0 / 100.0 − 1) × 100% = +3.0%. One month later, suppose the index rises to 103.1 while the new annual base is 100.8. The new monthly rate is about +0.10%, and the annual rate is about +2.28%. The annual rate slows to roughly 2.3% even though the index rises from 103.0 to 103.1. A separate simplified contribution exercise: category A has hypothetical importance of 80% and rises 0.2%; category B has 20% and rises 1.2%. A first-order approximation gives 0.80 × 0.2% + 0.20 × 1.2% = 0.40%. The simple average of 0.70% is wrong. This illustrates weighting; it does not replace the official index calculation.
When to skip
Do not compare percentages with different seasonal-adjustment bases, different CPI variants or different reference periods. If the underlying levels or methodology are unclear, leave the calculation undefined.
Counterexample: “Annual inflation fell from 3.0% to 2.3%, so consumer prices fell.” In the exercise the index rose by 0.1 point. Another counterexample is averaging +0.2% and +1.2% to claim +0.7% overall while ignoring the 80/20 importance. The hypothetical weighted approximation is +0.4%. Neither calculation creates a trading signal: expectations, composition and other data must be assessed separately.
Try it yourself
For historical practice, use the 14 October 2026 CPI release at 08:30 ET for September 2026. For the next release, open the current BLS schedule; this date belongs to an archived exercise. Before seeing the actual, record the reference month, adjustment basis and two comparison bases. After release, recompute m/m and y/y from index levels when available, then identify the changing-base effect separately. For two selected categories, estimate weighted contributions using published relative importance, label the result as an approximation, and compare it with the official all-items rate. Do not infer an asset-price direction from one CPI change.
Using the hypothetical levels 100.0, 102.5, 103.0 and 103.1 with the new annual base 100.8, calculate current and next m/m and y/y. Then estimate the aggregate rate for A and B with 80/20 importance and +0.2%/+1.2% changes. Where is the base effect, and why is the simple category average wrong?
Show explanation
Now m/m ≈ +0.49% and y/y = +3.0%. One month later m/m ≈ +0.10% and y/y ≈ +2.28% (rounded to +2.3%). The base effect appears when the y/y denominator changes from 100.0 to 100.8. The hypothetical weighted approximation is 0.80 × 0.2% + 0.20 × 1.2% = 0.40%. The simple average of +0.70% assigns equal weight to both categories and therefore does not describe the stated basket.
A falling positive annual rate is not the same as falling prices. Compare levels of the same index and identify which base left the calculation.
Sources and definitions
BLS · CPI concepts ↗BLS · presenting monthly and annual CPI changes ↗BLS · CPI release schedule ↗BLS · relative importance of CPI components ↗Scenarios and exercises are educational FINBORS examples, not a verified trading strategy.