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Comparing Two Variants of Calvo-Type Wage Stickiness

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Stephanie Schmitt-Grohe
Martin Uribe

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Abstract

We compare two ways of modeling Calvo-type wage stickiness. One in which each household is the monopolistic supplier of a differentiated type of labor input (as in Erceg, et al., 2000) and one in which households supply a homogenous labor input that is transformed by monopolistically competitive labor unions into a differentiated labor input (as in Schmitt-Grohe and Uribe, 2006a,b). We show that up to a log-linear approximation the two variants yield identical equilibrium dynamics, provided the wage stickiness parameter is in each case calibrated to be consistent with empirical estimates of the wage Phillips curve. It follows that econometric estimates of New Keynesian models that rely on log-linearizations of the equilibrium dynamics are mute about which type of wage stickiness fits the data better. In the context of a medium-scale macroeconomic model, we show that the two variants of the sticky-wage formulation give rise to the same Ramsey-optimal dynamics, which call for low volatility of price inflation. Furthermore, under both specifications the optimized operational interest-rate feedback rule features a large coefficient on price inflation and a mute response to wage inflation and output.

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Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 12740.

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Date of creation: Dec 2006
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Handle: RePEc:nbr:nberwo:12740

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

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Smets, Frank & Wouters, Rafael, 2007. "Shocks and Frictions in US Business Cycles: A Bayesian DSGE Approach," CEPR Discussion Papers 6112, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  2. David E. Altig & Lawrence J. Christiano & Martin Eichenbaum & Jesper Linde, 2004. "Firm-specific capital, nominal rigidities, and the business cycle," Working Paper 0416, Federal Reserve Bank of Cleveland. [Downloadable!]
    Other versions:
  3. Matthew B. Canzoneri & Robert E. Cumby & Behzad T. Diba, 2005. "Price- and wage- inflation targeting: variations on a theme by Erceg, Henderson, and Levin," Proceedings, Board of Governors of the Federal Reserve System (U.S.), pages 181-215. [Downloadable!]
  4. Stephanie Schmitt-Grohe & Martin Uribe, 2005. "Optimal Inflation Stabilization in a Medium-Scale Macroeconomic Model," NBER Working Papers 11854, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  5. 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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  6. Schmitt-Grohe, Stephanie & Uribe, Martin, 2004. "Solving dynamic general equilibrium models using a second-order approximation to the policy function," Journal of Economic Dynamics and Control, Elsevier, vol. 28(4), pages 755-775, January. [Downloadable!] (restricted)
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Cited by:
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  1. Edward Nelson, 2008. "Friedman and Taylor on monetary policy rules: a comparison," Review, Federal Reserve Bank of St. Louis, issue Mar, pages 95-116. [Downloadable!]
  2. Anna Kormilitsina, 2009. "Oil Price Shocks and the Optimality of Monetary Policy," Departmental Working Papers 0901, Southern Methodist University, Department of Economics. [Downloadable!]
  3. Francesco FURLANETTO, 2007. "Fiscal Shocks and the Consumption Response when Wages are Sticky," Cahiers de Recherches Economiques du Département d'Econométrie et d'Economie politique (DEEP) 07.11, Université de Lausanne, Faculté des HEC, DEEP. [Downloadable!]
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