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

Author

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  • 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.

Suggested Citation

  • Franke, Reiner & Flaschel, Peter, 2008. "A Proof of Determinacy in the New-Keynesian Sticky Wages and Prices Model," Economics Working Papers 2008-14, Christian-Albrechts-University of Kiel, Department of Economics.
    • Handle: RePEc:zbw:cauewp:7367
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    References listed on IDEAS

    as
    1. 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.).
    2. 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 303-324, April.
    3. 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.
    4. Murata, Yasuo, 1977. "Mathematics for Stability and Optimization of Economic Systems," Elsevier Monographs, Elsevier, edition 1, number 9780125112505 edited by Shell, Karl.
    5. Edge, Rochelle M. & Rudd, Jeremy B., 2007. "Taxation and the Taylor principle," Journal of Monetary Economics, Elsevier, vol. 54(8), pages 2554-2567, November.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. Gabriele Sarais & Damiano Brigo, 2014. "Inflation securities valuation with macroeconomic-based no-arbitrage dynamics," Papers 1403.7799, arXiv.org, revised Jul 2014.
    2. Best, Gabriela, 2015. "A New Keynesian model with staggered price and wage setting under learning," Journal of Economic Dynamics and Control, Elsevier, vol. 57(C), pages 96-111.

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    More about this item

    Keywords

    Determinacy; New-Keynesian wage and price Phillips curves; variable period length; continuous-time limit; Taylor principle;
    All these keywords.

    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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