Regression studies have established that there tend to be convex, nonsymmetric relationships between relative price variability and the inflation rate, unanticipated inflation, and the change in the inflation rate. This paper shows that such regression results follow as "definitional artifacts" for a simple but quite general stochastic model of price changes. The analysis is based on the fact that the definitions of relative price variability, the inflation rate, unanticipated inflation, and the change in the inflation rate imply a particular structure for the covariances among these variables. The structure of these covariances has implications for the regression coefficients. Copyright 1991 by Ohio State University Press.
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