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Optimal monetary policy with state-dependent pricing

Author

Listed:
  • Anton Nakov

    () (Banco de España and ECB)

  • Carlos Thomas

    () (Banco de España)

Abstract

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.

Suggested Citation

  • Anton Nakov & Carlos Thomas, 2011. "Optimal monetary policy with state-dependent pricing," Working Papers 1130, Banco de España;Working Papers Homepage.
  • Handle: RePEc:bde:wpaper:1130
    as

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    File URL: http://www.bde.es/f/webbde/SES/Secciones/Publicaciones/PublicacionesSeriadas/DocumentosTrabajo/11/Fich/dt1130e.pdf
    File Function: First version, November 2011
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    References listed on IDEAS

    as
    1. Pierpaolo Benigno & Michael Woodford, 2005. "Inflation Stabilization And Welfare: The Case Of A Distorted Steady State," Journal of the European Economic Association, MIT Press, vol. 3(6), pages 1185-1236, December.
    2. 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.
    3. 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.
    4. Mikhail Golosov & Robert E. Lucas Jr., 2007. "Menu Costs and Phillips Curves," Journal of Political Economy, University of Chicago Press, vol. 115, pages 171-199.
    5. 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.
    6. Mark Gertler & Jordi Gali & Richard Clarida, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," Journal of Economic Literature, American Economic Association, vol. 37(4), pages 1661-1707, December.
    7. Virgiliu Midrigan, 2011. "Menu Costs, Multiproduct Firms, and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 79(4), pages 1139-1180, July.
    8. Anton Nakov & Carlos Thomas, 2014. "Optimal Monetary Policy with State-Dependent Pricing," International Journal of Central Banking, International Journal of Central Banking, vol. 10(3), pages 49-94, September.
    9. Denny Lie, 2009. "State-dependent pricing and optimal monetary policy," Working Papers 09-20, Federal Reserve Bank of Boston.
    10. Mark Gertler & Jordi Gali & Richard Clarida, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," Journal of Economic Literature, American Economic Association, vol. 37(4), pages 1661-1707, December.
    11. James Costain & Anton Nakov, 2011. "Price Adjustments in a General Model of State‐Dependent Pricing," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43, pages 385-406, March.
    12. Tack Yun, 2005. "Optimal Monetary Policy with Relative Price Distortions," American Economic Review, American Economic Association, vol. 95(1), pages 89-109, March.
    13. 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.
    14. 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.
    15. 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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    Citations

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    Cited by:

    1. Anton Nakov & Carlos Thomas, 2014. "Optimal Monetary Policy with State-Dependent Pricing," International Journal of Central Banking, International Journal of Central Banking, vol. 10(3), pages 49-94, September.
    2. Kosuke Aoki, 2015. "Relative Prices and Inflation Stabilization," The Japanese Economic Review, Japanese Economic Association, vol. 66(1), pages 35-59, March.
    3. Shuhei Takahashi, 2017. "State Dependency in Price and Wage Setting," International Journal of Central Banking, International Journal of Central Banking, vol. 13(1), pages 151-189, February.
    4. Denny Lie, 2009. "State-dependent pricing and optimal monetary policy," Working Papers 09-20, Federal Reserve Bank of Boston.

    More about this item

    Keywords

    monetary policy; state-dependent pricing; monopolistic competition;

    JEL classification:

    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation

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