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Notes on the inflation dynamics of the New Keynesian Phillips Curve

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Andreas Hornstein

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Abstract

These notes contain the derivations for results stated without proof in Hornstein (2007). First, I derive the log-linear approximation of the inflation dynamics in the Calvo-model with elements of backward-looking pricing when the approximation takes place around a positive average inflation rate. I derive a version of the "hybrid" New Keynesian Phillips Curve (NKPC) that can be estimated using standard GMM techniques. Second, I characterize the inflation dynamics implied by the NKPC when marginal cost follows an AR(1) process. For this purpose I derive the autocorrelation and crosscorrelation structure of inflation.

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Paper provided by Federal Reserve Bank of Richmond in its series Working Paper with number 07-04.

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Date of creation: 2007
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Handle: RePEc:fip:fedrwp:07-04

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Keywords: Keynesian economics ; Phillips curve;

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  1. Cogley, Timothy W. & Sbordone, Argia M., 2005. "A Search for a Structural Phillips Curve," Working Papers 05-10, University of California at Davis, Department of Economics. [Downloadable!]
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  2. Guido Ascari, 2004. "Staggered prices and trend inflation: some nuisances," Macroeconomics 0404029, EconWPA. [Downloadable!]
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  3. Gali, Jordi & Gertler, Mark, 1999. "Inflation dynamics: A structural econometric analysis," Journal of Monetary Economics, Elsevier, vol. 44(2), pages 195-222, October. [Downloadable!] (restricted)
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  4. Andreas Hornstein, 2007. "Evolving inflation dynamics and the New Keynesian Phillips Curve," Economic Quarterly, Federal Reserve Bank of Richmond, issue Fall, pages 317-339. [Downloadable!]
  5. Timothy Cogley & Argia M. Sbordone, 2006. "Trend inflation and inflation persistence in the New Keynesian Phillips Curve," Staff Reports 270, Federal Reserve Bank of New York. [Downloadable!]
  6. Dixit, Avinash K & Stiglitz, Joseph E, 1977. "Monopolistic Competition and Optimum Product Diversity," American Economic Review, American Economic Association, vol. 67(3), pages 297-308, June. [Downloadable!] (restricted)
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  7. Lawrence J. Christiano & Martin Eichenbaum & Charles L. Evans, 2005. "Nominal Rigidities and the Dynamic Effects of a Shock to Monetary Policy," Journal of Political Economy, University of Chicago Press, vol. 113(1), pages 1-45, February.
    Other versions:
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