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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. Argia M. Sbordone & Timothy Cogley, 2004. "A Search for a Structural Phillips Curve," Computing in Economics and Finance 2004 291, Society for Computational Economics.
  2. 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.
  3. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
  4. 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.
  5. Ascari, Guido, 2002. "Staggered Price and Trend Inflation:Some Nuisances," Royal Economic Society Annual Conference 2002 10, Royal Economic Society.
  6. Andreas Hornstein, 2007. "Evolving inflation dynamics and the New Keynesian Phillips curve," Economic Quarterly, Federal Reserve Bank of Richmond, issue Fall, pages 317-339.
  7. Jordi Gali & Mark Gertler, 2000. "Inflation Dynamics: A Structural Econometric Analysis," NBER Working Papers 7551, National Bureau of Economic Research, Inc.
  8. 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.
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