IDEAS home Printed from https://ideas.repec.org/p/bdm/wpaper/2007-05.html
   My bibliography  Save this paper

Uncertainty about the Persistence of Cost-Push Shocks and the Optimal Reaction of the Monetary Authority

Author

Listed:
  • Rodríguez Arnulfo
  • González Fidel
  • González García Jesús R.

Abstract

In this paper we formalize the uncertainty about the persistence of cost-push shocks using an open economy optimal control model with Markov regime-switching and robust control. The latter is used in only one of the regimes producing relatively more persistent cost-push shocks in that regime. Conditional on being in the regime with relatively less persistence, we obtain two main results: a) underestimating the probability of switching to the regime with relatively more persistent cost-push shocks causes higher welfare losses than its overestimation; and b) the welfare losses associated with either underestimation or overestimation of such probability increase with the size of the penalty on inflation deviations from its target.

Suggested Citation

  • Rodríguez Arnulfo & González Fidel & González García Jesús R., 2007. "Uncertainty about the Persistence of Cost-Push Shocks and the Optimal Reaction of the Monetary Authority," Working Papers 2007-05, Banco de México.
    • Handle: RePEc:bdm:wpaper:2007-05
    as

    Download full text from publisher

    File URL: https://www.banxico.org.mx/publications-and-press/banco-de-mexico-working-papers/%7BC132684B-8D3E-4C65-F59E-B96FA03AD9AD%7D.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Rustem, Berc, 1994. "Stochastic and robust control of nonlinear economic systems," European Journal of Operational Research, Elsevier, vol. 73(2), pages 304-318, March.
    2. Zampolli, Fabrizio, 2006. "Optimal monetary policy in a regime-switching economy: The response to abrupt shifts in exchange rate dynamics," Journal of Economic Dynamics and Control, Elsevier, vol. 30(9-10), pages 1527-1567.
    3. Carl E. Walsh, 2004. "Precautionary policies," FRBSF Economic Letter, Federal Reserve Bank of San Francisco, issue feb.13.
    4. Fair, Ray C & Taylor, John B, 1983. "Solution and Maximum Likelihood Estimation of Dynamic Nonlinear Rational Expectations Models," Econometrica, Econometric Society, vol. 51(4), pages 1169-1185, July.
    5. J. Tetlow, Robert & von zur Muehlen, Peter, 2001. "Robust monetary policy with misspecified models: Does model uncertainty always call for attenuated policy?," Journal of Economic Dynamics and Control, Elsevier, vol. 25(6-7), pages 911-949, June.
    6. Giordani, Paolo & Soderlind, Paul, 2004. "Solution of macromodels with Hansen-Sargent robust policies: some extensions," Journal of Economic Dynamics and Control, Elsevier, vol. 28(12), pages 2367-2397, December.
    7. Stephanie Schmitt-Grohe & Martin Uribe, 2001. "Stabilization policy and the costs of dollarization," Proceedings, Federal Reserve Bank of Cleveland, pages 482-517.
    8. Onatski, Alexei & Stock, James H., 2002. "Robust Monetary Policy Under Model Uncertainty In A Small Model Of The U.S. Economy," Macroeconomic Dynamics, Cambridge University Press, vol. 6(1), pages 85-110, February.
    9. Robert Tetlow & Peter von zur Muehlen, 2004. "Avoiding Nash Inflation: Bayesian and Robus Responses to Model Uncertainty," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 7(4), pages 869-899, October.
    10. Marcellino, Massimiliano & Salmon, Mark, 2002. "Robust Decision Theory And The Lucas Critique," Macroeconomic Dynamics, Cambridge University Press, vol. 6(1), pages 167-185, February.
    11. Fabrizio Zampolli & Andrew Blake, 2005. "Time Consistent Policy in Markov Switching Models," Money Macro and Finance (MMF) Research Group Conference 2005 2, Money Macro and Finance Research Group.
    12. Fabio Milani, 2008. "Monetary Policy With A Wider Information Set: A Bayesian Model Averaging Approach," Scottish Journal of Political Economy, Scottish Economic Society, vol. 55(1), pages 1-30, February.
    13. Laurence M. Ball, 1999. "Policy Rules for Open Economies," NBER Chapters, in: Monetary Policy Rules, pages 127-156, National Bureau of Economic Research, Inc.
    14. Giannoni, Marc P., 2002. "Does Model Uncertainty Justify Caution? Robust Optimal Monetary Policy In A Forward-Looking Model," Macroeconomic Dynamics, Cambridge University Press, vol. 6(1), pages 111-144, February.
    15. Zarazaga, Carlos E J M, 2001. "Comment on Stabilization Policy and the Costs of Dollarization," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 33(2), pages 510-517, May.
    16. John B. Taylor, 1999. "Monetary Policy Rules," NBER Books, National Bureau of Economic Research, Inc, number tayl99-1.
    17. Becker, R. & Hall, S. & Rustem, B., 1994. "Robust optimal decisions with stochastic nonlinear economic systems," Journal of Economic Dynamics and Control, Elsevier, vol. 18(1), pages 125-147, January.
    18. Michael Woodford, 2003. "Optimal Interest-Rate Smoothing," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 70(4), pages 861-886.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Andrew P Blake & Fabrizio Zampolli, 2006. "Optimal monetary policy in Markov-switching models with rational expectations agents," Bank of England working papers 298, Bank of England.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Gonzalez F. & Rodriguez A. & Gonzalez-Garcia J.R., 2005. "Uncertainty about the Persistence of Periods with Large Price Shocks and the Optimal Reaction of the Monetary Authority," Computing in Economics and Finance 2005 402, Society for Computational Economics.
    2. Olalla, Myriam García & Gómez, Alejandro Ruiz, 2011. "Robust control and central banking behaviour," Economic Modelling, Elsevier, vol. 28(3), pages 1265-1278, May.
    3. Zampolli, Fabrizio, 2006. "Optimal monetary policy in a regime-switching economy: The response to abrupt shifts in exchange rate dynamics," Journal of Economic Dynamics and Control, Elsevier, vol. 30(9-10), pages 1527-1567.
    4. Tetlow, Robert J. & von zur Muehlen, Peter, 2009. "Robustifying learnability," Journal of Economic Dynamics and Control, Elsevier, vol. 33(2), pages 296-316, February.
    5. Michael Paetz, 2007. "Robust Control and Persistence in the New Keynesian Economy," Quantitative Macroeconomics Working Papers 20711, Hamburg University, Department of Economics.
    6. Stan Žaković & Volker Wieland & Berc Rustem, 2007. "Stochastic Optimization and Worst-Case Analysis in Monetary Policy Design," Computational Economics, Springer;Society for Computational Economics, vol. 30(4), pages 329-347, November.
    7. Brock, William A. & Durlauf, Steven N. & West, Kenneth D., 2007. "Model uncertainty and policy evaluation: Some theory and empirics," Journal of Econometrics, Elsevier, vol. 136(2), pages 629-664, February.
    8. Brock, William A. & Durlauf, Steven N., 2005. "Local robustness analysis: Theory and application," Journal of Economic Dynamics and Control, Elsevier, vol. 29(11), pages 2067-2092, November.
    9. Keith Kuester & Volker Wieland, 2010. "Insurance Policies for Monetary Policy in the Euro Area," Journal of the European Economic Association, MIT Press, vol. 8(4), pages 872-912, June.
    10. Ekaterina Pirozhkova, 2017. "Financial frictions and robust monetary policy in the models of New Keynesian framework," BCAM Working Papers 1701, Birkbeck Centre for Applied Macroeconomics.
    11. Gadi Barlevy, 2011. "Robustness and Macroeconomic Policy," Annual Review of Economics, Annual Reviews, vol. 3(1), pages 1-24, September.
    12. Arnulfo Rodriguez & Pedro N. Rodriguez, 2006. "Recursive Thick Modeling and the Choice of Monetary Policy in Mexico," Computing in Economics and Finance 2006 30, Society for Computational Economics.
    13. David Kendrick & Hans Amman, 2006. "A Classification System for Economic Stochastic Control Models," Computational Economics, Springer;Society for Computational Economics, vol. 27(4), pages 453-481, June.
    14. William A. Brock & Steven N. Durlauf, 2004. "Elements of a Theory of Design Limits to Optimal Policy," Manchester School, University of Manchester, vol. 72(s1), pages 1-18, September.
    15. Kendrick, David A., 2005. "Stochastic control for economic models: past, present and the paths ahead," Journal of Economic Dynamics and Control, Elsevier, vol. 29(1-2), pages 3-30, January.
    16. A. Hakan Kara, 2004. "Optimal Monetary Policy, Commitment, and Imperfect Credibility," Central Bank Review, Research and Monetary Policy Department, Central Bank of the Republic of Turkey, vol. 4(1), pages 31-66.
    17. van der Ploeg, Frederick, 2009. "Prudent monetary policy and prediction of the output gap," Journal of Macroeconomics, Elsevier, vol. 31(2), pages 217-230, June.
    18. Shin-Ichi Fukuda, 2012. "Infrequent Changes Of The Policy Target: Robust Optimal Monetary Policy Under Ambiguity," Global Journal of Economics (GJE), World Scientific Publishing Co. Pte. Ltd., vol. 1(02), pages 1-27.
    19. Levin, Andrew T. & Williams, John C., 2003. "Robust monetary policy with competing reference models," Journal of Monetary Economics, Elsevier, vol. 50(5), pages 945-975, July.
    20. Marco Del Negro & Frank Schorfheide, 2009. "Monetary Policy Analysis with Potentially Misspecified Models," American Economic Review, American Economic Association, vol. 99(4), pages 1415-1450, September.

    More about this item

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • E61 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Policy Objectives; Policy Designs and Consistency; Policy Coordination

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bdm:wpaper:2007-05. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Subgerencia de desarrollo de sistemas (email available below). General contact details of provider: https://edirc.repec.org/data/bangvmx.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.