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Inflation and the Distribution of Price Changes

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Author Info
Michael F. Bryan
Stephen G. Cecchetti

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Abstract

its higher order moments, and in particular, its third moment the skewness of the price change distribution. Evidence on correlations between inflation and its moments goesback over thirty years, and was first used to reject the independence of relative price changes and inflation that is assumed in neo- classical models. More recently, New Keynesian macroeconomists have shown that the strong positive correlation between inflation and the skewness of the price change distribution is consistent with menu-cost models of price setting behavior. This is a fairly controversial result, prompting other researchers to demonstrate that the same correlation can be found in a multi- sector, flexible-price (real business cycle) model. We examine the small-sample properties of the main empirical finding on which this work is based: the positive correlation between the sample mean and sample skewness of price change distributions. Our results show that this particular statistic suffers from a large positive small-sample bias, and demonstrate that the entirety of the observed correlation can be explained by this bias. To the extent that we find any relationship at all, it is that the correlation is negative. In other words, we establish that one of the most accepted stylized facts in the literature on aggregate price behavior, that inflation and the skewness of the price change distribution are positively linked, need not be a fact at all.

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Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 5793.

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Date of creation: Oct 1996
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Handle: RePEc:nbr:nberwo:5793

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Find related papers by JEL classification:
E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Hypothesis Testing

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  1. Newey, Whitney K & West, Kenneth D, 1987. "A Simple, Positive Semi-definite, Heteroskedasticity and Autocorrelation Consistent Covariance Matrix," Econometrica, Econometric Society, vol. 55(3), pages 703-08, May. [Downloadable!] (restricted)
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  2. Nathan S. Balke & Mark A. Wynne, 1996. "An equilibrium analysis of relative price changes and aggregate inflation," Working Papers 96-09, Federal Reserve Bank of Dallas. [Downloadable!]
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  3. Michael F. Bryan & Stephen G. Cecchetti, 1994. "Measuring Core Inflation," NBER Chapters, in: Monetary Policy, pages 195-219 National Bureau of Economic Research, Inc. [Downloadable!]
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  4. George A. Akerlof & William R. Dickens & George L. Perry, 1996. "The Macroeconomics of Low Inflation," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 27(1996-1), pages 1-76. [Downloadable!]
  5. Ball, Laurence & Mankiw, N Gregory, 1995. "Relative-Price Changes as Aggregate Supply Shocks," The Quarterly Journal of Economics, MIT Press, vol. 110(1), pages 161-93, February. [Downloadable!] (restricted)
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  6. Stephen G. Cecchetti, 1997. "Measuring short-run inflation for central bankers," Review, Federal Reserve Bank of St. Louis, issue May, pages 143-155. [Downloadable!]
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  7. White, Halbert, 1980. "A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity," Econometrica, Econometric Society, vol. 48(4), pages 817-38, May. [Downloadable!] (restricted)
  8. Vining, Daniel R, Jr & Elwertowski, Thomas C, 1976. "The Relationship between Relative Prices and the General Price Level," American Economic Review, American Economic Association, vol. 66(4), pages 699-708, September. [Downloadable!] (restricted)
  9. N. Gregory Mankiw, 1994. "Monetary Policy," NBER Books, National Bureau of Economic Research, Inc, number greg94-1.
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