# State-Dependent or Time-Dependent Pricing: Does It Matter for Recent U.S. Inflation?

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Inflation equals the product of two terms: an extensive margin (the fraction of items with price changes) and an intensive margin (the average size of those changes). The variance of inflation over time can be decomposed into contributions from each margin. The extensive margin figures importantly in many state-dependent pricing models, whereas the intensive margin is the sole source of inflation changes in staggered time-dependent pricing models. We use micro data collected by the U.S. Bureau of Labor Statistics to decompose the variance of consumer price inflation from 1988 through 2003. We find that around 95% of the variance of monthly inflation stems from fluctuations in the average size of price changes, i.e., the intensive margin. When we calibrate a prominent state-dependent pricing model to match this empirical variance decomposition, the model's shock responses are very close to those in time-dependent pricing models.

### Published In:

Quarterly Journal of Economics (0033-5533)
August 2008. Vol. 123, Iss. 3, pp. 863-904

JEL Code(s): E, E3, E31, E32