Optimal Price Adjustment with Time-Dependent Costs

Working Paper: NBER ID: w1319

Authors: Joshua Aizenman

Abstract: The purpose of this paper is to analyze an optimal pricing rule for the case in which the costs of price adjustment are time dependent, and where those costs depend positively on the magnitude of the percentage price change. By means of discrete time model, it is shown that the optimal response to the problem under consideration is to pre-set prices for each period at the end of the previous period. Within the period prices will adjust if the unexpected shock exceeds a threshold level. In such a case the new price is established at a level that is a weighted average of the pre-set level and of the equilibrium level that would have obtained in the absence of costs of contemporaneous price adjustment. Under certain conditions, which are derived in the paper, higher volatility of unexpected inflation might reduce relative price volatility.

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Causal Claims Network Graph

Edges that are evidenced by causal inference methods are in orange, and the rest are in light blue.


Causal Claims

CauseEffect
preset price (D41)price adjustment behavior (D40)
magnitude of unexpected price-level change (E31)decision to adjust prices (D49)
higher volatility of unexpected inflation (E31)price stability (E31)

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