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Notes on the inflation dynamics of the New Keynesian Phillips curve

  • Andreas Hornstein

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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  1. 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.
  2. Guido Ascari, 2004. "Staggered prices and trend inflation: some nuisances," Macroeconomics 0404029, EconWPA.
  3. Lawrence J. Christiano & Martin Eichenbaum & Charles L. Evans, 2001. "Nominal rigidities and the dynamic effects of a shock to monetary policy," Working Paper Series WP-01-08, Federal Reserve Bank of Chicago.
  4. Jordi GalĂ­ & Mark Gertler, 1998. "Inflation dynamics: A structural econometric analysis," Economics Working Papers 341, Department of Economics and Business, Universitat Pompeu Fabra.
  5. Tim W. Cogley & Argia M. Sbordone, 2005. "A Search for a Structural Phillips Curve," Working Papers 510, University of California, Davis, Department of Economics.
  6. Dixit, Avinash K & Stiglitz, Joseph E, 1975. "Monopolistic Competition and Optimum Product Diversity," The Warwick Economics Research Paper Series (TWERPS) 64, University of Warwick, Department of Economics.
  7. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
  8. Andreas Hornstein, 2007. "Evolving inflation dynamics and the New Keynesian Phillips curve," Economic Quarterly, Federal Reserve Bank of Richmond, issue Fall, pages 317-339.
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