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A Proof of Determinacy in the New-Keynesian Sticky Wages and Prices Model

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Author Info
Franke, Reiner
Flaschel, Peter
Abstract

The paper is concerned with determinacy in a version of the New-Keynesian model that integrates imperfect competition and nominal price and wage setting on goods and labour markets. The model is reformulated with an explicit period of arbitrary length and shown to remain well-defined as the period shrinks to zero. The 4×4 constituent matrix of the model?s continuous-time counterpart is mathematically tractable and its determinacy results carry over to the period model at least if the period is sufficiently short. This being understood, it is proved that determinacy is (essentially) ensured if an extended Taylor principle requirement is met. --

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Paper provided by Christian-Albrechts-University of Kiel, Department of Economics in its series Economics Working Papers with number 2008,14.

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Date of creation: 2008
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Handle: RePEc:zbw:cauewp:7367

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Web page: http://www.wiso.uni-kiel.de/econ/

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Related research
Keywords: Determinacy; New-Keynesian wage and price Phillips curves; variable period length; continuous-time limit; Taylor principle;

Find related papers by JEL classification:
E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation

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  1. Edge, Rochelle M. & Rudd, Jeremy B., 2007. "Taxation and the Taylor principle," Journal of Monetary Economics, Elsevier, vol. 54(8), pages 2554-2567, November. [Downloadable!] (restricted)
  2. Rochelle M. Edge & Jeremy B. Rudd, 2002. "Taxation and the Taylor principle," Finance and Economics Discussion Series 2002-51, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
  3. Foley, Duncan K, 1975. "On Two Specifications of Asset Equilibrium in Macroeconomic Models," Journal of Political Economy, University of Chicago Press, vol. 83(2), pages 303-24, April. [Downloadable!] (restricted)
  4. Erceg, Christopher J. & Henderson, Dale W. & Levin, Andrew T., 2000. "Optimal monetary policy with staggered wage and price contracts," Journal of Monetary Economics, Elsevier, vol. 46(2), pages 281-313, October. [Downloadable!] (restricted)
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