Inflation is the change in the price index. See
Inflation - Wikipedia for a fuller explanation, including calculations. When working with these indices, you have to be aware of how they are calculated. The three main indices in use are Laspeyres, Paasche and Fisher. Laspeyres holds base period quantities constant, so it overstates inflation because it does not account for substitution effects. Paasche holds future period quantities constant, so it understates inflation because substitution effects are overstated. Fisher, the square root of the product of Laspeyres and Paasche, has shown itself to be a good compromise.
BLS uses Laspeyres, so its indices consistent overstate inflation. BEA uses the Fisher index because of its quality. BEA refers to its indices as "chain type price indices" because it calculates its indices on a rolling basis.
Laspeyres and Paasche have the advantage of being additive: "real" values created by dividing (or deflating) "nominal" (i.e., observed) values by these indices are additive. The Fisher index lacks this property, which can be vexing for macroeconomic modelers.
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Chuck Coleman
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