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Robustly Optimal Instrument Rules and Robust Control: An Equivalence Result

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  • Walsh, Carl E

Abstract

Giannoni and Woodford (2003a, 2003b) and Hansen and Sargent (2003, 2004) have recently developed different notions of robust policy, and both approaches have been applied in the context of optimal monetary policy. In this note, I demonstrate that both approaches lead to exactly the same implicit instrument rule for the policy maker in a standard, forward-looking, new Keynesian model. Despite the equivalence of the policy rules, the two approaches predict different macroeconomic behavior because of difference assumptions about the formation of expectations.

Suggested Citation

  • Walsh, Carl E, 2004. "Robustly Optimal Instrument Rules and Robust Control: An Equivalence Result," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 36(6), pages 1105-1113, December.
  • Handle: RePEc:mcb:jmoncb:v:36:y:2004:i:6:p:1105-13
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    References listed on IDEAS

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    1. Eldar Shafir & Peter Diamond & Amos Tversky, 1997. "Money Illusion," The Quarterly Journal of Economics, Oxford University Press, vol. 112(2), pages 341-374.
    2. Ernst Fehr & Jean-Robert Tyran, 2001. "Does Money Illusion Matter?," American Economic Review, American Economic Association, vol. 91(5), pages 1239-1262, December.
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    Cited by:

    1. Michael Woodford, 2010. "Robustly Optimal Monetary Policy with Near-Rational Expectations," American Economic Review, American Economic Association, pages 274-303.
    2. Shin-ichi Fukuda, 2012. "Infrequent Changes of the Policy Target: Robust Optimal Monetary Policy under Ambiguity," CIRJE F-Series CIRJE-F-863, CIRJE, Faculty of Economics, University of Tokyo.
    3. Beck, Guenter W. & Wieland, Volker, 2008. "Central bank misperceptions and the role of money in interest-rate rules," Journal of Monetary Economics, Elsevier, vol. 55(Supplemen), pages 1-17, October.
    4. Klaus Schmidt-Hebbel & Carl E. Walsh, 2009. "Monetary Policy under Uncertainty and Learning: An Overview," Central Banking, Analysis, and Economic Policies Book Series,in: Klaus Schmidt-Hebbel & Carl E. Walsh & Norman Loayza (Series Editor) & Klaus Schmidt-Hebbel (Series (ed.), Monetary Policy under Uncertainty and Learning, edition 1, volume 13, chapter 1, pages 001-025 Central Bank of Chile.
    5. Kwon, Hyosung & Miao, Jianjun, 2017. "Three types of robust Ramsey problems in a linear-quadratic framework," Journal of Economic Dynamics and Control, Elsevier, vol. 76(C), pages 211-231.
    6. Leitemo, Kai & Söderström, Ulf, 2008. "Robust monetary policy in a small open economy," Journal of Economic Dynamics and Control, Elsevier, vol. 32(10), pages 3218-3252, October.
    7. Marc P. Giannoni, 2010. "Optimal Interest-Rate Rules in a Forward-Looking Model, and Inflation Stabilization versus Price-Level Stabilization," NBER Working Papers 15986, National Bureau of Economic Research, Inc.
    8. Lars E. O. Svensson, 2005. "Targeting versus instrument rules for monetary policy: what is wrong with McCallum and Nelson?," Review, Federal Reserve Bank of St. Louis, issue Sep, pages 613-626.
    9. Qin, Li & Sidiropoulos, Moïse & Spyromitros, Eleftherios, 2013. "Robust monetary policy under model uncertainty and inflation persistence," Economic Modelling, Elsevier, vol. 30(C), pages 721-728.
    10. Chahrour, Ryan & Svec, Justin, 2014. "Optimal capital taxation and consumer uncertainty," Journal of Macroeconomics, Elsevier, pages 178-198.
    11. repec:ebl:ecbull:v:5:y:2006:i:18:p:1-5 is not listed on IDEAS
    12. Hansen, Lars Peter & Sargent, Thomas J., 2012. "Three types of ambiguity," Journal of Monetary Economics, Elsevier, pages 422-445.
    13. Lars E.O. Svensson, 2004. "Targeting Rules vs. Instrument Rules for Monetary Policy: What is Wrong with McCallum and Nelson?," NBER Working Papers 10747, National Bureau of Economic Research, Inc.
    14. Sidiropoulos, Moïse & Diana, Giuseppe, 2006. "Robust Control and Monetary Policy Delegation," MPRA Paper 23715, University Library of Munich, Germany.
    15. Li Qin & Moïse Sidiropoulos, 2016. "Robustness of Optimal Interest Rate Rules in an Open Economy," Bulletin of Applied Economics, Risk Market Journals, vol. 3(1), pages 29-46.
    16. Giannoni, Marc P., 2014. "Optimal interest-rate rules and inflation stabilization versus price-level stabilization," Journal of Economic Dynamics and Control, Elsevier, vol. 41(C), pages 110-129.
    17. Lars E O Svensson, 2005. "Monetary Policy with Judgment: Forecast Targeting," International Journal of Central Banking, International Journal of Central Banking, vol. 1(1), May.
    18. Taro Ikeda, 2013. "Asymmetric forecasting and commitment policy in a robust control problem," Discussion Papers 1306, Graduate School of Economics, Kobe University.
    19. Juha Kilponen & Kai Leitemo, 2008. "Model Uncertainty and Delegation: A Case for Friedman's "k"-Percent Money Growth Rule?," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 40(2-3), pages 547-556, March.
    20. Roberto M. Billi, 2007. "Optimal inflation for the U.S," Research Working Paper RWP 07-03, Federal Reserve Bank of Kansas City.
    21. Eleftherios SPYROMITROS & Li QIN, 2006. "Central bank transparency about model uncertainty and wage setters," Economics Bulletin, AccessEcon, vol. 5(18), pages 1-5.
    22. Kilponen, Juha & Leitemo, Kai, 2006. "Robustness in monetary policymaking : a case for the Friedman rule," Research Discussion Papers 4/2006, Bank of Finland.

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