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Clearing Up the Effective Lower Bound Morass

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  • Haochun Ma
  • Jordan Roulleau-Pasdeloup

Abstract

Depending on the persistence of the underlying Markov chain shock, the standard New Keynesian model predicts starkly different conclusions at the Effective Lower Bound. We clear up this morass by using a truncated Markov chain. We prove that the expectations-driven trap \`a la Mertens & Ravn (2014) doesn't arise as an equilibrium outcome. In addition, the equilibrium under a truncated Markov chain is guaranteed to be unique, the effect of government spending is positive on consumption and does not switch signs but may grow unbounded \textemdash a puzzle.

Suggested Citation

  • Haochun Ma & Jordan Roulleau-Pasdeloup, 2025. "Clearing Up the Effective Lower Bound Morass," Papers 2511.04782, arXiv.org.
    • Handle: RePEc:arx:papers:2511.04782
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    References listed on IDEAS

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    1. S Borağan Aruoba & Pablo Cuba-Borda & Frank Schorfheide, 2018. "Macroeconomic Dynamics Near the ZLB: A Tale of Two Countries," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 85(1), pages 87-118.
    2. Gauti B. Eggertsson & Michael Woodford, 2003. "Optimal Monetary Policy in a Liquidity Trap," NBER Working Papers 9968, National Bureau of Economic Research, Inc.
    3. Gauti B. Eggertsson, 2011. "What Fiscal Policy Is Effective at Zero Interest Rates?," NBER Chapters, in: NBER Macroeconomics Annual 2010, volume 25, pages 59-112, National Bureau of Economic Research, Inc.
    4. Marco Del Negro & Marc P. Giannoni & Christina Patterson, 2023. "The Forward Guidance Puzzle," Journal of Political Economy Macroeconomics, University of Chicago Press, vol. 1(1), pages 43-79.
    5. Christopher Gust & Edward Herbst & David López-Salido, 2022. "Short-Term Planning, Monetary Policy, and Macroeconomic Persistence," American Economic Journal: Macroeconomics, American Economic Association, vol. 14(4), pages 174-209, October.
    6. Timothy S. Hills & Taisuke Nakata, 2018. "Fiscal Multipliers at the Zero Lower Bound: The Role of Policy Inertia," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 50(1), pages 155-172, February.
    7. Pascal Michaillat & Emmanuel Saez, 2021. "Resolving New Keynesian Anomalies with Wealth in the Utility Function," The Review of Economics and Statistics, MIT Press, vol. 103(2), pages 197-215, May.
    8. Christopher J. Gust & Edward P. Herbst & J. David López-Salido, 2024. "Inflation Expectations with Finite Horizon Planning," Finance and Economics Discussion Series 2024-063, Board of Governors of the Federal Reserve System (U.S.).
    9. Marc Dordal-i-Carreras & Olivier Coibion & Yuriy Gorodnichenko & Johannes Wieland, 2016. "Infrequent but Long-Lived Zero-Bound Episodes and the Optimal Rate of Inflation," NBER Working Papers 22510, National Bureau of Economic Research, Inc.
    10. Eric M. Leeper & Nora Traum & Todd B. Walker, 2017. "Clearing Up the Fiscal Multiplier Morass," American Economic Review, American Economic Association, vol. 107(8), pages 2409-2454, August.
    11. Diba, Behzad & Loisel, Olivier, 2021. "Pegging the interest rate on bank reserves: A resolution of New Keynesian puzzles and paradoxes," Journal of Monetary Economics, Elsevier, vol. 118(C), pages 230-244.
    12. Michael Woodford, 2011. "Simple Analytics of the Government Expenditure Multiplier," American Economic Journal: Macroeconomics, American Economic Association, vol. 3(1), pages 1-35, January.
    13. Christopher Gibbs & Nigel McClung, 2023. "Does my model predict a forward guidance puzzle?," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 51, pages 393-423, December.
    14. Sebastian Schmidt, 2017. "Fiscal Activism and the Zero Nominal Interest Rate Bound," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 49(4), pages 695-732, June.
    15. Wataru Miyamoto & Thuy Lan Nguyen & Dmitriy Sergeyev, 2018. "Government Spending Multipliers under the Zero Lower Bound: Evidence from Japan," American Economic Journal: Macroeconomics, American Economic Association, vol. 10(3), pages 247-277, July.
    16. Ascari, Guido & Mavroeidis, Sophocles & McClung, Nigel, 2023. "Coherence without rationality at the zero lower bound," Journal of Economic Theory, Elsevier, vol. 214(C).
    17. Carlstrom, Charles T. & Fuerst, Timothy S. & Paustian, Matthias, 2015. "Inflation and output in New Keynesian models with a transient interest rate peg," Journal of Monetary Economics, Elsevier, vol. 76(C), pages 230-243.
    18. Benhabib, Jess & Schmitt-Grohe, Stephanie & Uribe, Martin, 2001. "The Perils of Taylor Rules," Journal of Economic Theory, Elsevier, vol. 96(1-2), pages 40-69, January.
    19. Chunbing Cai & Jordan Roulleau-Pasdeloup & Zhongxi Zheng, 2025. "Endogenous Persistence at the Effective Lower Bound," Papers 2501.06473, arXiv.org, revised Sep 2025.
    20. Gauti Eggertsson & Sergey Egiev & Alessandro Lin & Josef Platzer & Luca Riva, 2021. "A Toolkit for Solving Models with a Lower Bound on Interest Rates of Stochastic Duration," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 41, pages 121-173, July.
    21. Lawrence Christiano & Martin Eichenbaum & Sergio Rebelo, 2011. "When Is the Government Spending Multiplier Large?," Journal of Political Economy, University of Chicago Press, vol. 119(1), pages 78-121.
    22. Eskelinen, Maria & Gibbs, Christopher G. & McClung, Nigel, 2024. "Resolving new keynesian puzzles," Bank of Finland Research Discussion Papers 5/2024, Bank of Finland.
    23. Emi Nakamura & Venance Riblier & Jón Steinsson, 2025. "Beyond the Taylor Rule," NBER Working Papers 34200, National Bureau of Economic Research, Inc.
    24. Taisuke Nakata & Sebastian Schmidt, 2022. "Expectations-Driven Liquidity Traps: Implications for Monetary and Fiscal Policy," American Economic Journal: Macroeconomics, American Economic Association, vol. 14(4), pages 68-103, October.
    25. Florin O. Bilbiie, 2022. "Neo-Fisherian Policies and Liquidity Traps," American Economic Journal: Macroeconomics, American Economic Association, vol. 14(4), pages 378-403, October.
    26. Ascari, Guido & Mavroeidis, Sophocles, 2022. "The unbearable lightness of equilibria in a low interest rate environment," Journal of Monetary Economics, Elsevier, vol. 127(C), pages 1-17.
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