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Stabilization policy and lags

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  • Loisel, Olivier

Abstract

Macroeconomic stabilization policy is notoriously subject to inside lags (which delay the reaction of policy to the state of the economy) and outside lags (which delay the effects of policy on the economy). In a broad class of dynamic rational-expectations models, I show that neither inside lags nor outside lags of any length restrict the ability of the policymaker to ensure local-equilibrium determinacy and to control the anticipation and convergence rates, under a weak condition on the model and the policymaker’s observation set. To establish this result, I invert the problem usually addressed in the literature: I start from a targeted characteristic polynomial, and I derive a corresponding policy-instrument rule. For any lags, this method offers some degrees of freedom that can be exploited to design rules with additional properties; I illustrate this possibility by designing non-superinertial rules, which the literature suggests may be more robust under model uncertainty.

Suggested Citation

  • Loisel, Olivier, 2024. "Stabilization policy and lags," Journal of Mathematical Economics, Elsevier, vol. 111(C).
  • Handle: RePEc:eee:mateco:v:111:y:2024:i:c:s030440682400003x
    DOI: 10.1016/j.jmateco.2024.102941
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    References listed on IDEAS

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    1. 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.
    2. Taylor, John B., 1999. "The robustness and efficiency of monetary policy rules as guidelines for interest rate setting by the European central bank," Journal of Monetary Economics, Elsevier, vol. 43(3), pages 655-679, June.
    3. Karel Mertens & MortenO. Ravn, 2010. "Measuring the Impact of Fiscal Policy in the Face of Anticipation: A Structural VAR Approach," Economic Journal, Royal Economic Society, vol. 120(544), pages 393-413, May.
    4. Laurence Ball, 1999. "Efficient Rules for Monetary Policy," International Finance, Wiley Blackwell, vol. 2(1), pages 63-83, April.
    5. N. Gregory Mankiw & Ricardo Reis, 2002. "Sticky Information versus Sticky Prices: A Proposal to Replace the New Keynesian Phillips Curve," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(4), pages 1295-1328.
    6. Frank Smets & Rafael Wouters, 2007. "Shocks and Frictions in US Business Cycles: A Bayesian DSGE Approach," American Economic Review, American Economic Association, vol. 97(3), pages 586-606, June.
    7. Julio J. Rotemberg & Michael Woodford, 1999. "Interest Rate Rules in an Estimated Sticky Price Model," NBER Chapters, in: Monetary Policy Rules, pages 57-126, National Bureau of Economic Research, Inc.
    8. Bullard, James & Mitra, Kaushik, 2002. "Learning about monetary policy rules," Journal of Monetary Economics, Elsevier, vol. 49(6), pages 1105-1129, September.
    9. Loisel, Olivier, 2021. "The implementation of stabilization policy," Theoretical Economics, Econometric Society, vol. 16(2), May.
    10. Marc Giannoni & Michael Woodford, 2003. "How forward-looking is optimal monetary policy?," Proceedings, Federal Reserve Bank of Cleveland, pages 1425-1483.
    11. Jess Benhabib & Stephanie Schmitt-Grohe & Martin Uribe, 2003. "Backward-looking interest-rate rules, interest-rate smoothing, and macroeconomic instability," Proceedings, Federal Reserve Bank of Cleveland, pages 1379-1423.
    12. Pengfei Wang & Yi Wen, 2006. "Solving linear difference systems with lagged expectations by a method of undetermined coefficients," Working Papers 2006-003, Federal Reserve Bank of St. Louis.
    13. Giannoni, Marc P. & Woodford, Michael, 2017. "Optimal target criteria for stabilization policy," Journal of Economic Theory, Elsevier, vol. 168(C), pages 55-106.
    14. Eric M. Leeper & Todd B. Walker & Shu‐Chun Susan Yang, 2013. "Fiscal Foresight and Information Flows," Econometrica, Econometric Society, vol. 81(3), pages 1115-1145, May.
    15. Sorge Marco M., 2020. "Computing sunspot solutions to rational expectations models with timing restrictions," The B.E. Journal of Macroeconomics, De Gruyter, vol. 20(2), pages 1-10, June.
    16. Stephanie Schmitt-Grohe & Jess Benhabib & Martin Uribe, 2001. "Monetary Policy and Multiple Equilibria," American Economic Review, American Economic Association, vol. 91(1), pages 167-186, March.
    17. Fischer, Stanley & Cooper, J Phillip, 1973. "Stabilization Policy and Lags," Journal of Political Economy, University of Chicago Press, vol. 81(4), pages 847-877, July-Aug..
    18. Andrew T.. Levin & Volker Wieland & John Williams, 1999. "Robustness of Simple Monetary Policy Rules under Model Uncertainty," NBER Chapters, in: Monetary Policy Rules, pages 263-318, National Bureau of Economic Research, Inc.
    19. Jess Benhabib & Stephanie Schmitt-Grohe & Martin Uribe, 2002. "Avoiding Liquidity Traps," Journal of Political Economy, University of Chicago Press, vol. 110(3), pages 535-563, June.
    20. Svensson, Lars E. O., 1997. "Inflation forecast targeting: Implementing and monitoring inflation targets," European Economic Review, Elsevier, vol. 41(6), pages 1111-1146, June.
    21. Schmitt-Grohe, Stephanie & Uribe, Martin, 1997. "Balanced-Budget Rules, Distortionary Taxes, and Aggregate Instability," Journal of Political Economy, University of Chicago Press, vol. 105(5), pages 976-1000, October.
    22. Andrew Levin & Volker Wieland & John C. Williams, 2003. "The Performance of Forecast-Based Monetary Policy Rules Under Model Uncertainty," American Economic Review, American Economic Association, vol. 93(3), pages 622-645, June.
    23. John H. Cochrane, 2011. "Determinacy and Identification with Taylor Rules," Journal of Political Economy, University of Chicago Press, vol. 119(3), pages 565-615.
    24. Michael Woodford, 1999. "Optimal Monetary Policy Inertia," Manchester School, University of Manchester, vol. 67(s1), pages 1-35.
    25. Bassetto, Marco, 2005. "Equilibrium and government commitment," Journal of Economic Theory, Elsevier, vol. 124(1), pages 79-105, September.
    26. Benhabib, Jess, 2004. "Interest Rate Policy in Continuous Time with Discrete Delays," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 36(1), pages 1-15, February.
    27. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-1311, July.
    28. Taylor, John B., 1993. "Discretion versus policy rules in practice," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 39(1), pages 195-214, December.
    29. Glenn Rudebusch & Lars E.O. Svensson, 1999. "Policy Rules for Inflation Targeting," NBER Chapters, in: Monetary Policy Rules, pages 203-262, National Bureau of Economic Research, Inc.
    30. Francesco Bianchi & Giovanni Nicolò, 2021. "A generalized approach to indeterminacy in linear rational expectations models," Quantitative Economics, Econometric Society, vol. 12(3), pages 843-868, July.
    31. Meyer-Gohde, Alexander & Tzaawa-Krenzler, Mary, 2023. "Sticky information and the Taylor principle," IMFS Working Paper Series 189, Goethe University Frankfurt, Institute for Monetary and Financial Stability (IMFS).
    32. Michael Woodford, 1999. "Optimal monetary policy inertia," Proceedings, Federal Reserve Bank of San Francisco.
    33. McCallum, Bennett T., 1999. "Issues in the design of monetary policy rules," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 23, pages 1483-1530, Elsevier.
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