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Optimal monetary policy with state-dependent pricing

  • Anton Nakov


    (Banco de España and ECB)

  • Carlos Thomas


    (Banco de España)

We study optimal monetary policy from the timeless perspective in a general state-dependent pricing framework. Firms are monopolistic competitors and are subject to idiosyncratic menu cost shocks. We find that, under isoelastic preferences and no government spending, strict price stability is optimal both in the long run and in response to aggregate shocks. Key to this finding is an “envelope” property: at zero inflation, a marginal increase in the rate of inflation has no effect on firms’ profits and therefore has no effect on the rate of price adjustment. We offer an analytic solution which does not rely on local approximation or efficiency of the steady-state.

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Paper provided by Banco de Espa�a in its series Banco de Espa�a Working Papers with number 1130.

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Length: 36 pages
Date of creation: Nov 2011
Date of revision:
Handle: RePEc:bde:wpaper:1130
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  1. Bakhshi, Hasan & Khan, Hashmat & Rudolf, Barbara, 2007. "The Phillips curve under state-dependent pricing," Journal of Monetary Economics, Elsevier, vol. 54(8), pages 2321-2345, November.
  2. Mikhail Golosov & Robert E. Lucas, 2003. "Menu Costs and Phillips Curves," NBER Working Papers 10187, National Bureau of Economic Research, Inc.
  3. Anton Nakov & Carlos Thomas, 2011. "Optimal monetary policy with state-dependent pricing," Finance and Economics Discussion Series 2011-48, Board of Governors of the Federal Reserve System (U.S.).
  4. Virgiliu Midrigan, 2011. "Menu Costs, Multiproduct Firms, and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 79(4), pages 1139-1180, 07.
  5. Richard Clarida & Jordi Gali & Mark Gertler, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," NBER Working Papers 7147, National Bureau of Economic Research, Inc.
  6. Lie, Denny, 2015. "State-Dependent Pricing and Optimal Monetary Policy," Working Papers 2015-09, University of Sydney, School of Economics.
  7. Michael Woodford & Pierpaolo Benigno, 2004. "Inflation Stabilization and Welfare: The Case of a Distorted Steady State," 2004 Meeting Papers 481, Society for Economic Dynamics.
  8. Reiter, Michael, 2009. "Solving heterogeneous-agent models by projection and perturbation," Journal of Economic Dynamics and Control, Elsevier, vol. 33(3), pages 649-665, March.
  9. James Costain & Antón Nákov, 2008. "Price adjustments in a general model of state-dependent pricing," Banco de Espa�a Working Papers 0824, Banco de Espa�a.
  10. Michael Dotsey & Robert G. King & Alexander L. Wolman, 1999. "State-Dependent Pricing and the General Equilibrium Dynamics of Money and Output," The Quarterly Journal of Economics, Oxford University Press, vol. 114(2), pages 655-690.
  11. Tack Yun, 2005. "Optimal Monetary Policy with Relative Price Distortions," American Economic Review, American Economic Association, vol. 95(1), pages 89-109, March.
  12. Emi Nakamura & Jón Steinsson, 2008. "Five Facts about Prices: A Reevaluation of Menu Cost Models," The Quarterly Journal of Economics, Oxford University Press, vol. 123(4), pages 1415-1464.
  13. Peter J. Klenow & Oleksiy Kryvtsov, 2008. "State-Dependent or Time-Dependent Pricing: Does it Matter for Recent U.S. Inflation?," The Quarterly Journal of Economics, Oxford University Press, vol. 123(3), pages 863-904.
  14. 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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