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Notes on the inflation dynamics of the New Keynesian Phillips curve

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  • Andreas Hornstein

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.

Suggested Citation

  • Andreas Hornstein, 2007. "Notes on the inflation dynamics of the New Keynesian Phillips curve," Working Paper 07-04, Federal Reserve Bank of Richmond.
  • Handle: RePEc:fip:fedrwp:07-04
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    References listed on IDEAS

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    1. Gali, Jordi & Gertler, Mark, 1999. "Inflation dynamics: A structural econometric analysis," Journal of Monetary Economics, Elsevier, vol. 44(2), pages 195-222, October.
    2. Guido Ascari, 2004. "Staggered Prices and Trend Inflation: Some Nuisances," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 7(3), pages 642-667, July.
    3. Argia M. Sbordone & Timothy Cogley, 2004. "A Search for a Structural Phillips Curve," Computing in Economics and Finance 2004 291, Society for Computational Economics.
    4. 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.
    5. 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.
    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.
    7. Andreas Hornstein, 2007. "Evolving inflation dynamics and the New Keynesian Phillips curve," Economic Quarterly, Federal Reserve Bank of Richmond, issue Fall, pages 317-339.
    8. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
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    Cited by:

    1. Ragna Alstadheim, 2013. "How New Keynesian is the US Phillips curve?," Working Paper 2013/25, Norges Bank.

    More about this item

    Keywords

    Keynesian economics ; Phillips curve;

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