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Comparing Two Variants of Calvo-Type Wage Stickiness

  • Stephanie Schmitt-Grohe
  • Martin Uribe

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
Note: EFG ME
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  1. 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.
  2. Orphanides, Athanasios & Wieland, Volker, 2000. "Inflation zone targeting," European Economic Review, Elsevier, vol. 44(7), pages 1351-1387, June.
  3. David Altig & Lawrence J. Christiano & Martin Eichenbaum & Jesper Linde, 2010. "Firm-specific capital, nominal rigidities and the business cycle," International Finance Discussion Papers 990, Board of Governors of the Federal Reserve System (U.S.).
  4. 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.
  5. Stephanie Schmitt-Grohe & Martin Uribe, 2001. "Solving Dynamic General Equilibrium Models Using a Second-Order Approximation to the Policy Function," Departmental Working Papers 200106, Rutgers University, Department of Economics.
  6. Andrew Levin & Christopher J. Erceg & Dale W. Henderson, 1999. "Optimal Monetary Policy with Staggered Wage and Price Contracts," Computing in Economics and Finance 1999 1151, Society for Computational Economics.
  7. Stepahnie Schmitt-Grohé & Martín Uribe, 2007. "Optimal Inflation Stabilization in a Medium-Scale Macroeconomic Model," Central Banking, Analysis, and Economic Policies Book Series, in: Frederic S. Miskin & Klaus Schmidt-Hebbel & Norman Loayza (Series Editor) & Klaus Schmidt-Hebbel (Se (ed.), Monetary Policy under Inflation Targeting, edition 1, volume 11, chapter 5, pages 125-186 Central Bank of Chile.
  8. David Altig & Lawrence Christiano & Martin Eichenbaum & Jesper Linde, 2005. "Online Appendix to "Firm-Specific Capital, Nominal Rigidities and the Business Cycle"," Technical Appendices 09-191, Review of Economic Dynamics.
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