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Strike while the Iron is Hot - Optimal Monetary Policy with a Nonlinear Phillips Curve

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Listed:
  • Peter Karadi
  • Anton Nakov
  • Galo Nuño
  • Ernesto Pastén
  • Dominik Thaler

Abstract

We study the Ramsey optimal monetary policy within the Golosov and Lucas (2007) state-dependent pricing framework. The model provides micro-foundations for a nonlinear Phillips curve: the sensitivity of inflation to activity increases after large shocks due to an endogenous rise in the frequency of price changes, as observed during the recent inflation surge. In response to large costpush shocks, optimal policy leverages the lower sacrifice ratio to reduce inflation and stabilize the frequency of price adjustments. When facing total factor productivity shocks, an efficient disturbance, the optimal policy commits to strict price stability, similar to the prescription in the standard Calvo (1983) model.

Suggested Citation

  • Peter Karadi & Anton Nakov & Galo Nuño & Ernesto Pastén & Dominik Thaler, 2024. "Strike while the Iron is Hot - Optimal Monetary Policy with a Nonlinear Phillips Curve," Working Papers Central Bank of Chile 1025, Central Bank of Chile.
  • Handle: RePEc:chb:bcchwp:1025
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    1. François Le Grand & Xavier Ragot, 2022. "Managing Inequality Over Business Cycles: Optimal Policies With Heterogeneous Agents And Aggregate Shocks," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 63(1), pages 511-540, February.
    2. Boppart, Timo & Krusell, Per & Mitman, Kurt, 2018. "Exploiting MIT shocks in heterogeneous-agent economies: the impulse response as a numerical derivative," Journal of Economic Dynamics and Control, Elsevier, vol. 89(C), pages 68-92.
    3. Adjemian, Stéphane & Bastani, Houtan & Juillard, Michel & Karamé, Fréderic & Mihoubi, Ferhat & Mutschler, Willi & Pfeifer, Johannes & Ratto, Marco & Rion, Normann & Villemot, Sébastien, 2022. "Dynare: Reference Manual Version 5," Dynare Working Papers 72, CEPREMAP, revised Mar 2023.
      • Stéphane Adjemian & Houtan Bastani & Michel Juillard & Frédéric Karamé & Ferhat Mihoubi & Willi Mutschler & Johannes Pfeifer & Marco Ratto & Sébastien Villemot & Normann Rion, 2023. "Dynare: Reference Manual Version 5," Working Papers hal-04219920, HAL.
      • Stéphane Adjemian & Houtan Bastani & Michel Juillard & Frédéric Karamé & Ferhat Mihoubi & Willi Mutschler & Johannes Pfeifer & Marco Ratto & Sébastien Villemot & Normann Rion, 2023. "Dynare: Reference Manual Version 5," PSE Working Papers hal-04219920, HAL.
    4. Caballero, Ricardo J. & Engel, Eduardo M.R.A., 2007. "Price stickiness in Ss models: New interpretations of old results," Journal of Monetary Economics, Elsevier, vol. 54(Supplemen), pages 100-121, September.
    5. 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, President and Fellows of Harvard College, vol. 114(2), pages 655-690.
    6. Beatriz González & Galo Nuño & Dominik Thaler & Silvia Albrizio, 2021. "Firm Heterogeneity, Capital Misallocation and Optimal Monetary Policy," CESifo Working Paper Series 9465, CESifo.
    7. Fernando Alvarez & Francesco Lippi, 2014. "Price Setting With Menu Cost for Multiproduct Firms," Econometrica, Econometric Society, vol. 82(1), pages 89-135, January.
    8. Mikhail Golosov & Robert E. Lucas Jr., 2007. "Menu Costs and Phillips Curves," Journal of Political Economy, University of Chicago Press, vol. 115(2), pages 171-199.
    9. Fernando Álvarez & Pablo Andrés Neumeyer, 2020. "The Passthrough of Large-cost Shocks in an Inflationary Economy," Central Banking, Analysis, and Economic Policies Book Series, in: Gonzalo Castex & Jordi Galí & Diego Saravia (ed.),Changing Inflation Dynamics,Evolving Monetary Policy, edition 1, volume 27, chapter 2, pages 007-048, Central Bank of Chile.
    10. David Berger & Joseph Vavra, 2019. "Shocks versus Responsiveness: What Drives Time-Varying Dispersion?," Journal of Political Economy, University of Chicago Press, vol. 127(5), pages 2104-2142.
    11. Costain, James & Nakov, Anton, 2011. "Distributional dynamics under smoothly state-dependent pricing," Journal of Monetary Economics, Elsevier, vol. 58(6), pages 646-665.
    12. 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.
    13. Andrew S. Caplin & Daniel F. Spulber, 1987. "Menu Costs and the Neutrality of Money," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 102(4), pages 703-725.
    14. 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.
    15. Mark J. Zbaracki & Mark Ritson & Daniel Levy & Shantanu Dutta & Mark Bergen, 2004. "Managerial and Customer Costs of Price Adjustment: Direct Evidence from Industrial Markets," The Review of Economics and Statistics, MIT Press, vol. 86(2), pages 514-533, May.
    16. Fernando Alvarez & Martin Beraja & Martín Gonzalez-Rozada & Pablo Andrés Neumeyer, 2019. "From Hyperinflation to Stable Prices: Argentina’s Evidence on Menu Cost Models," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 134(1), pages 451-505.
    17. Galo Nuño & Carlos Thomas, 2022. "Optimal Redistributive Inflation," Annals of Economics and Statistics, GENES, issue 146, pages 3-63.
    18. Ricardo J. Caballero & Eduardo M. R. A. Engel, 1993. "Heterogeneity and Output Fluctuations in a Dynamic Menu-Cost Economy," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(1), pages 95-119.
    19. Adrien Auclert & Rodolfo Rigato & Matthew Rognlie & Ludwig Straub, 2024. "New Pricing Models, Same Old Phillips Curves?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 139(1), pages 121-186.
    20. Hugh Montag & Daniel Villar Vallenas, 2023. "Price-Setting During the Covid Era," FEDS Notes 2023-08-29, Board of Governors of the Federal Reserve System (U.S.).
    21. Etienne Gagnon, 2009. "Price Setting during Low and High Inflation: Evidence from Mexico," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 124(3), pages 1221-1263.
    22. Andrey Alexandrov, 2020. "The Effects of Trend Inflation on Aggregate Dynamics and Monetary Stabilization," CRC TR 224 Discussion Paper Series crctr224_2020_216, University of Bonn and University of Mannheim, Germany.
    23. Joseph Vavra, 2014. "Inflation Dynamics and Time-Varying Volatility: New Evidence and an Ss Interpretation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 129(1), pages 215-258.
    24. Robert J. Barro, 1972. "A Theory of Monopolistic Price Adjustment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 39(1), pages 17-26.
    25. 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.
    26. Fernando Alvarez & Hervé Le Bihan & Francesco Lippi, 2016. "The Real Effects of Monetary Shocks in Sticky Price Models: A Sufficient Statistic Approach," American Economic Review, American Economic Association, vol. 106(10), pages 2817-2851, October.
    27. Emi Nakamura & Jón Steinsson, 2008. "Five Facts about Prices: A Reevaluation of Menu Cost Models," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 123(4), pages 1415-1464.
    28. Andrés Blanco, 2021. "Optimal Inflation Target in an Economy with Menu Costs and a Zero Lower Bound," American Economic Journal: Macroeconomics, American Economic Association, vol. 13(3), pages 108-141, July.
    29. 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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    Cited by:

    1. Hugh Montag & Daniel Villar Vallenas, 2025. "Post-Pandemic Price Flexibility in the U.S.: Evidence and Implications for Price Setting Models," Finance and Economics Discussion Series 2025-024, Board of Governors of the Federal Reserve System (U.S.).
    2. Cameron Haas & Mateo Hoyos & Emiliano Libman & Guilherme K. Martins & Arslan Razmi, 2025. "Monetary Shocks and Inflation: Global Evidence from Trilemma-Based Identification," Working Papers DTE 650, CIDE, División de Economía.
    3. Hashmat Khan & Sergio Lago Alves, 2025. "Are New Keynesian Models Useful When Trend Inflation is Not Very Low?," Carleton Economic Papers 25-01, Carleton University, Department of Economics.
    4. Andrejs Zlobins, 2025. "Monetary Policy Transmission in the Euro Area: Is this Time Different? Chapter I: Lags and Strength," Working Papers 2025/01, Latvijas Banka.
    5. Bobeica, Elena & Holton, Sarah & Huber, Florian & Martínez Hernández, Catalina, 2025. "Beware of large shocks! A non-parametric structural inflation model," Working Paper Series 3052, European Central Bank.
    6. Pablo Cuba-Borda & Jean-Paul L'Huillier, 2025. "Inflation is a Supply Phenomenon," Working Papers 137, Brandeis University, Department of Economics and International Business School.
    7. Karadi, Peter & Nakov, Anton & Nuño, Galo & Pasten, Ernesto & Thaler, Dominik, 2025. "Why monetary policy should crack down harder during high inflation," Research Bulletin, European Central Bank, vol. 130.

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    More about this item

    JEL classification:

    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy

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