IDEAS home Printed from https://ideas.repec.org/p/ces/ceswps/_12280.html

Nonlinear Estimation of a New Keynesian Model with Endogenous Inflation De-Anchoring

Author

Listed:
  • Dominik Hecker
  • Maik Wolters
  • Maik H. Wolters

Abstract

We estimate a New Keynesian model that allows endogenous transitions between a target equilibrium, with inflation fluctuating around the central bank’s target and interest rates typically positive, and a low-inflation equilibrium, where the effective lower bound binds and de-anchored expectations keep inflation persistently below target. The model is estimated using Bayesian methods, employing an ensemble MCMC sampler with a particle filter to handle nonlinearities. We find that the United States remained in the target equilibrium after the global financial crisis, the euro area transitioned to the low-inflation equilibrium in 2015, with the subsequent inflation surge initiating a return to the target equilibrium in 2021, and Japan entered the low-inflation equilibrium in the early 2000s. Bayes factors strongly favor the equilibrium-transition model over an alternative specification in which the lower bound binds only occasionally and expectations remain anchored.

Suggested Citation

  • Dominik Hecker & Maik Wolters & Maik H. Wolters, 2025. "Nonlinear Estimation of a New Keynesian Model with Endogenous Inflation De-Anchoring," CESifo Working Paper Series 12280, CESifo.
  • Handle: RePEc:ces:ceswps:_12280
    as

    Download full text from publisher

    File URL: https://www.ifo.de/DocDL/cesifo1_wp12280.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    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. Sungbae An & Frank Schorfheide, 2007. "Bayesian Analysis of DSGE Models—Rejoinder," Econometric Reviews, Taylor & Francis Journals, vol. 26(2-4), pages 211-219.
    3. S. Bogan Aruoba & Pablo Cuba-Borda & Kenji Higa-Flores & Frank Schorfheide & Sergio Villalvazo, 2021. "Piecewise-Linear Approximations and Filtering for DSGE Models with Occasionally Binding Constraints," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 41, pages 96-120, July.
    4. Corsello, Francesco & Neri, Stefano & Tagliabracci, Alex, 2021. "Anchored or de-anchored? That is the question," European Journal of Political Economy, Elsevier, vol. 69(C).
    5. 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.
    6. Kevin J. Lansing & Agnieszka Markiewicz, 2018. "Top Incomes, Rising Inequality and Welfare," Economic Journal, Royal Economic Society, vol. 128(608), pages 262-297, February.
    7. Emi Nakamura & Jón Steinsson, 2013. "Price Rigidity: Microeconomic Evidence and Macroeconomic Implications," Annual Review of Economics, Annual Reviews, vol. 5(1), pages 133-163, May.
    8. Carlos Carvalho & Stefano Eusepi & Emanuel Moench & Bruce Preston, 2023. "Anchored Inflation Expectations," American Economic Journal: Macroeconomics, American Economic Association, vol. 15(1), pages 1-47, January.
    9. Olesya Grishchenko & Sarah Mouabbi & Jean‐Paul Renne, 2019. "Measuring Inflation Anchoring and Uncertainty: A U.S. and Euro Area Comparison," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 51(5), pages 1053-1096, August.
    10. Michael Wickens, 2014. "How Useful are DSGE Macroeconomic Models for Forecasting?," Open Economies Review, Springer, vol. 25(1), pages 171-193, February.
    11. Herbst, Edward & Schorfheide, Frank, 2019. "Tempered particle filtering," Journal of Econometrics, Elsevier, vol. 210(1), pages 26-44.
    12. Kevin J. Lansing & Agnieszka Markiewicz, 2018. "Top Incomes, Rising Inequality and Welfare," Economic Journal, Royal Economic Society, vol. 128(608), pages 262-297, February.
    13. Holden, Tom D., 2016. "Existence, uniqueness and computation of solutions to dynamic models with occasionally binding constraints," EconStor Preprints 127430, ZBW - Leibniz Information Centre for Economics.
    14. Havranek, Tomas & Horvath, Roman & Irsova, Zuzana & Rusnak, Marek, 2015. "Cross-country heterogeneity in intertemporal substitution," Journal of International Economics, Elsevier, vol. 96(1), pages 100-118.
    15. Sophocles Mavroeidis & Mikkel Plagborg-M?ller & James H. Stock, 2014. "Empirical Evidence on Inflation Expectations in the New Keynesian Phillips Curve," Journal of Economic Literature, American Economic Association, vol. 52(1), pages 124-188, March.
    16. Guerrieri, Luca & Iacoviello, Matteo, 2015. "OccBin: A toolkit for solving dynamic models with occasionally binding constraints easily," Journal of Monetary Economics, Elsevier, vol. 70(C), pages 22-38.
    17. Edward P. Herbst & Frank Schorfheide, 2016. "Bayesian Estimation of DSGE Models," Economics Books, Princeton University Press, edition 1, number 10612, December.
    18. Frank Schorfheide, 2008. "DSGE model-based estimation of the New Keynesian Phillips curve," Economic Quarterly, Federal Reserve Bank of Richmond, vol. 94(Fall), pages 397-433.
    19. Christopher Gust & Edward Herbst & David López-Salido & Matthew E. Smith, 2017. "The Empirical Implications of the Interest-Rate Lower Bound," American Economic Review, American Economic Association, vol. 107(7), pages 1971-2006, July.
    20. Kulish, Mariano & Morley, James & Robinson, Tim, 2017. "Estimating DSGE models with zero interest rate policy," Journal of Monetary Economics, Elsevier, vol. 88(C), pages 35-49.
    21. Holden, Tom, 2016. "Computation of solutions to dynamic models with occasionally binding constraints," EconStor Preprints 130143, ZBW - Leibniz Information Centre for Economics.
    22. William A. Brock & Cars H. Hommes, 2001. "A Rational Route to Randomness," Chapters, in: W. D. Dechert (ed.), Growth Theory, Nonlinear Dynamics and Economic Modelling, chapter 16, pages 402-438, Edward Elgar Publishing.
    23. Farmer, Roger E.A. & Khramov, Vadim & Nicolò, Giovanni, 2015. "Solving and estimating indeterminate DSGE models," Journal of Economic Dynamics and Control, Elsevier, vol. 54(C), pages 17-36.
    24. Sophia Cho & Thomas M. Mertens & John C. Williams, 2025. "The Zero Lower Bound Remains a Medium-Term Risk," FRBSF Economic Letter, Federal Reserve Bank of San Francisco, vol. 2025(16), pages 1-6, July.
    25. Lansing, Kevin J., 2021. "Endogenous forecast switching near the zero lower bound," Journal of Monetary Economics, Elsevier, vol. 117(C), pages 153-169.
    26. Kilponen, Juha & Vilmunen, Jouko & Vähämaa, Oskari, 2022. "Revisiting intertemporal elasticity of substitution in a sticky price model," Journal of Economic Dynamics and Control, Elsevier, vol. 144(C).
    27. Filippo Natoli & Laura Sigalotti, 2018. "Tail Co-movement in Inflation Expectations as an Indicator of Anchoring," International Journal of Central Banking, International Journal of Central Banking, vol. 14(1), pages 35-71, January.
    28. Boehl, Gregor & Strobel, Felix, 2024. "Estimation of DSGE models with the effective lower bound," Journal of Economic Dynamics and Control, Elsevier, vol. 158(C).
    29. Holston, Kathryn & Laubach, Thomas & Williams, John C., 2017. "Measuring the natural rate of interest: International trends and determinants," Journal of International Economics, Elsevier, vol. 108(S1), pages 59-75.
    30. Sungbae An & Frank Schorfheide, 2007. "Bayesian Analysis of DSGE Models," Econometric Reviews, Taylor & Francis Journals, vol. 26(2-4), pages 113-172.
    31. Tom D. Holden, 2023. "Existence and Uniqueness of Solutions to Dynamic Models with Occasionally Binding Constraints," The Review of Economics and Statistics, MIT Press, vol. 105(6), pages 1481-1499, November.
    32. Hall, Robert E, 1988. "Intertemporal Substitution in Consumption," Journal of Political Economy, University of Chicago Press, vol. 96(2), pages 339-357, April.
    33. Roc Armenter, 2018. "The Perils of Nominal Targets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 85(1), pages 50-86.
    34. Karel R. S. M. Mertens & Morten O. Ravn, 2014. "Fiscal Policy in an Expectations-Driven Liquidity Trap," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 81(4), pages 1637-1667.
    35. Pablo Cuba-Borda & Sanjay R. Singh, 2024. "Understanding Persistent ZLB: Theory and Assessment," American Economic Journal: Macroeconomics, American Economic Association, vol. 16(3), pages 389-416, July.
    36. Strohsal, Till & Melnick, Rafi & Nautz, Dieter, 2016. "The time-varying degree of inflation expectations anchoring," Journal of Macroeconomics, Elsevier, vol. 48(C), pages 62-71.
    37. Nautz, Dieter & Pagenhardt, Laura & Strohsal, Till, 2017. "The (de-)anchoring of inflation expectations: New evidence from the euro area," The North American Journal of Economics and Finance, Elsevier, vol. 40(C), pages 103-115.
    38. Thomas Laubach & John C. Williams, 2003. "Measuring the Natural Rate of Interest," The Review of Economics and Statistics, MIT Press, vol. 85(4), pages 1063-1070, November.
    39. Paolo Gelain & Kevin J. Lansing & Gisle J. Natvik, 2018. "Explaining the Boom–Bust Cycle in the U.S. Housing Market: A Reverse‐Engineering Approach," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 50(8), pages 1751-1783, December.
    40. Boehl, Gregor, 2022. "Efficient solution and computation of models with occasionally binding constraints," Journal of Economic Dynamics and Control, Elsevier, vol. 143(C).
    41. John Geweke, 1999. "Using simulation methods for bayesian econometric models: inference, development,and communication," Econometric Reviews, Taylor & Francis Journals, vol. 18(1), pages 1-73.
    42. Stephanie Schmitt-Grohé & Martín Uribe, 2017. "Liquidity Traps and Jobless Recoveries," American Economic Journal: Macroeconomics, American Economic Association, vol. 9(1), pages 165-204, January.
    43. Fabio Canova, 2009. "What Explains The Great Moderation in the U.S.? A Structural Analysis," Journal of the European Economic Association, MIT Press, vol. 7(4), pages 697-721, June.
    44. 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.
    45. Florin O. Bilbiie, 2022. "Neo-Fisherian Policies and Liquidity Traps," American Economic Journal: Macroeconomics, American Economic Association, vol. 14(4), pages 378-403, October.
    Full references (including those not matched with items on IDEAS)

    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. Böhl, Gregor & Strobel, Felix, 2020. "US business cycle dynamics at the zero lower bound," IMFS Working Paper Series 143, Goethe University Frankfurt, Institute for Monetary and Financial Stability (IMFS).
    2. He Nie & Jordan Roulleau-Pasdeloup, 2023. "The promises (and perils) of control-contingent forward guidance," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 49, pages 77-98, July.
    3. 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.
    4. Boehl, Gregor & Strobel, Felix, 2024. "The empirical performance of the financial accelerator since 2008," Journal of Economic Dynamics and Control, Elsevier, vol. 167(C).
    5. Boehl, Gregor & Strobel, Felix, 2024. "Estimation of DSGE models with the effective lower bound," Journal of Economic Dynamics and Control, Elsevier, vol. 158(C).
    6. Pablo Cuba-Borda & Sanjay R. Singh, 2024. "Understanding Persistent ZLB: Theory and Assessment," American Economic Journal: Macroeconomics, American Economic Association, vol. 16(3), pages 389-416, July.
    7. Chunbing Cai & Jordan Roulleau-Pasdeloup & Zhongxi Zheng, 2025. "Endogenous Persistence at the Effective Lower Bound," Papers 2501.06473, arXiv.org, revised Sep 2025.
    8. Atkinson, Tyler & Richter, Alexander W. & Throckmorton, Nathaniel A., 2020. "The zero lower bound and estimation accuracy," Journal of Monetary Economics, Elsevier, vol. 115(C), pages 249-264.
    9. Lansing, Kevin J., 2021. "Endogenous forecast switching near the zero lower bound," Journal of Monetary Economics, Elsevier, vol. 117(C), pages 153-169.
    10. Kollmann, Robert, 2021. "Liquidity traps in a world economy," Journal of Economic Dynamics and Control, Elsevier, vol. 132(C).
    11. Morris, Stephen D., 2020. "Is the Taylor principle still valid when rates are low?," Journal of Macroeconomics, Elsevier, vol. 64(C).
    12. Ascari, Guido & Mavroeidis, Sophocles & McClung, Nigel, 2023. "Coherence without rationality at the zero lower bound," Journal of Economic Theory, Elsevier, vol. 214(C).
    13. Hills, Timothy S. & Nakata, Taisuke & Schmidt, Sebastian, 2019. "Effective lower bound risk," European Economic Review, Elsevier, vol. 120(C).
    14. Girstmair, Stefan, 2024. "The effect of new housing supply in structural models: a forecasting performance evaluation," Working Paper Series 2895, European Central Bank.
    15. Gregor Boehl & Gavin Goy & Felix Strobel, 2024. "A Structural Investigation of Quantitative Easing," The Review of Economics and Statistics, MIT Press, vol. 106(4), pages 1028-1044, July.
    16. Aruoba, S. Borağan & Bocola, Luigi & Schorfheide, Frank, 2017. "Assessing DSGE model nonlinearities," Journal of Economic Dynamics and Control, Elsevier, vol. 83(C), pages 34-54.
    17. Boehl, Gregor, 2022. "Efficient solution and computation of models with occasionally binding constraints," Journal of Economic Dynamics and Control, Elsevier, vol. 143(C).
    18. Shifu Jiang, 2022. "Optimal Credit, Monetary, and Fiscal Policy under Occasional Financial Frictions and the Zero Lower Bound," International Journal of Central Banking, International Journal of Central Banking, vol. 18(1), pages 151-197, March.
    19. Wu, Jing Cynthia & Zhang, Ji, 2019. "A shadow rate New Keynesian model," Journal of Economic Dynamics and Control, Elsevier, vol. 107(C), pages 1-1.
    20. Fang‐Shuo Chang & Shiu‐Sheng Chen & Po‐Yuan Wang, 2020. "Politics and the UK's monetary policy," Scottish Journal of Political Economy, Scottish Economic Society, vol. 67(5), pages 486-522, November.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;
    ;
    ;

    JEL classification:

    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy

    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:ces:ceswps:_12280. 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: Klaus Wohlrabe (email available below). General contact details of provider: https://edirc.repec.org/data/cesifde.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.