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Discretionary monetary policy in the Calvo model

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  • Willem Van Zandweghe
  • Alexander L. Wolman

Abstract

We study discretionary equilibrium in the Calvo pricing model for a monetary authority that chooses the money supply. The steady-state inflation rate is above eight percent for a baseline calibration, and it varies non-monotonically with the degree of price stickiness. If the initial condition involves inflation higher than steady state, discretionary policy generates an immediate drop in inflation followed by a gradual increase to the steady state. Unlike the two-period Taylor model, discretionary policy in the Calvo model does not accommodate predetermined prices in a way that inevitably leads to multiple private-sector equilibria.

Suggested Citation

  • Willem Van Zandweghe & Alexander L. Wolman, 2010. "Discretionary monetary policy in the Calvo model," Research Working Paper RWP 10-06, Federal Reserve Bank of Kansas City.
    • Handle: RePEc:fip:fedkrw:rwp10-06
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    References listed on IDEAS

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    1. Robert King & Alexander L. Wolman, 1999. "What Should the Monetary Authority Do When Prices Are Sticky?," NBER Chapters, in: Monetary Policy Rules, pages 349-404, National Bureau of Economic Research, Inc.
    2. Stefania Albanesi & V. V. Chari & Lawrence J. Christiano, 2003. "Expectation Traps and Monetary Policy," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 70(4), pages 715-741.
    3. Anderson, Gary S. & Kim, Jinill & Yun, Tack, 2010. "Using a projection method to analyze inflation bias in a micro-founded model," Journal of Economic Dynamics and Control, Elsevier, vol. 34(9), pages 1572-1581, September.
    4. Robert G. King, 2006. "Discretionary policy and multiple equilibria," Economic Quarterly, Federal Reserve Bank of Richmond, vol. 92(Win), pages 1-15.
    5. Siu, Henry E., 2008. "Time consistent monetary policy with endogenous price rigidity," Journal of Economic Theory, Elsevier, vol. 138(1), pages 184-210, January.
    6. Michael Dotsey & Andreas Hornstein, 2008. "On the implementation of Markov-perfect interest rate and money supply rules: global and local uniqueness," Working Papers 08-30, Federal Reserve Bank of Philadelphia.
    7. Yun, Tack, 1996. "Nominal price rigidity, money supply endogeneity, and business cycles," Journal of Monetary Economics, Elsevier, vol. 37(2-3), pages 345-370, April.
    8. Robert G. King & Alexander L. Wolman, 2004. "Monetary Discretion, Pricing Complementarity, and Dynamic Multiple Equilibria," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 119(4), pages 1513-1553.
    9. Aubhik Khan & Robert G. King & Alexander L. Wolman, 2001. "The pitfalls of discretionary monetary policy," Working Papers 01-16, Federal Reserve Bank of Philadelphia.
    10. Dotsey, Michael & Hornstein, Andreas, 2003. "Should a monetary policymaker look at money?," Journal of Monetary Economics, Elsevier, vol. 50(3), pages 547-579, April.
    11. Adam, Klaus & Billi, Roberto M., 2007. "Discretionary monetary policy and the zero lower bound on nominal interest rates," Journal of Monetary Economics, Elsevier, vol. 54(3), pages 728-752, April.
    12. Robert G. King & Alexander L. Wolman, 2013. "Inflation Targeting in a St. Louis Model of the 21st Century," Review, Federal Reserve Bank of St. Louis, issue Nov, pages 543-574.
    13. John B. Taylor, 1999. "Monetary Policy Rules," NBER Books, National Bureau of Economic Research, Inc, number tayl99-1.
    14. Tack Yun, 2005. "Optimal Monetary Policy with Relative Price Distortions," American Economic Review, American Economic Association, vol. 95(1), pages 89-109, March.
    15. Kydland, Finn E & Prescott, Edward C, 1977. "Rules Rather Than Discretion: The Inconsistency of Optimal Plans," Journal of Political Economy, University of Chicago Press, vol. 85(3), pages 473-491, June.
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    As found by EconAcademics.org, the blog aggregator for Economics research:
    1. Doing Calvo all wrong
      by Economic Logician in Economic Logic on 2010-04-30 19:42:00

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    Cited by:

    1. Leith, Campbell & Liu, Ding, 2016. "The inflation bias under Calvo and Rotemberg pricing," Journal of Economic Dynamics and Control, Elsevier, vol. 73(C), pages 283-297.
    2. Leeper, Eric M. & Leith, Campbell & Liu, Ding, 2021. "Optimal Time-Consistent Monetary, Fiscal and Debt Maturity Policy," Journal of Monetary Economics, Elsevier, vol. 117(C), pages 600-617.
    3. Lu, Yang K. & King, Robert G. & Pasten, Ernesto, 2016. "Optimal reputation building in the New Keynesian model," Journal of Monetary Economics, Elsevier, vol. 84(C), pages 233-249.
    4. Bilbiie, Florin O. & Fujiwara, Ippei & Ghironi, Fabio, 2014. "Optimal monetary policy with endogenous entry and product variety," Journal of Monetary Economics, Elsevier, vol. 64(C), pages 1-20.
    5. Nakata, Taisuke, 2016. "Optimal fiscal and monetary policy with occasionally binding zero bound constraints," Journal of Economic Dynamics and Control, Elsevier, vol. 73(C), pages 220-240.
    6. Bilbiie, Florin O., 2014. "Delegating optimal monetary policy inertia," Journal of Economic Dynamics and Control, Elsevier, vol. 48(C), pages 63-78.
    7. Ngo, Phuong V., 2014. "Optimal discretionary monetary policy in a micro-founded model with a zero lower bound on nominal interest rate," Journal of Economic Dynamics and Control, Elsevier, vol. 45(C), pages 44-65.
    8. Sunakawa, Takeki, 2015. "A quantitative analysis of optimal sustainable monetary policies," Journal of Economic Dynamics and Control, Elsevier, vol. 52(C), pages 119-135.
    9. Anderson, Gary S. & Kim, Jinill & Yun, Tack, 2010. "Using a projection method to analyze inflation bias in a micro-founded model," Journal of Economic Dynamics and Control, Elsevier, vol. 34(9), pages 1572-1581, September.

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