IDEAS home Printed from https://ideas.repec.org/p/fip/fedfwp/2017-24.html
   My bibliography  Save this paper

Endogenous Regime Switching Near the Zero Lower Bound

Author

Listed:
  • Kevin J. Lansing

Abstract

This paper develops a New Keynesian model with a time-varying natural rate of inter-est (r-star) and a zero lower bound (ZLB) on the nominal interest rate. The representative agent contemplates the possibility of an occasionally binding ZLB that is driven by switching between two local rational expectations equilibria, labeled the \"targeted\" and \"deflation\" solutions, respectively. Sustained periods when the real interest rate remains below the central bank's estimate of r-star can induce the agent to place a substantially higher weight on the deflation equilibrium, causing it to occasionally become self-fulling. I solve for the time series of stochastic shocks and endogenous forecast rule weights that allow the model to exactly replicate the observed time paths of the U.S. output gap and quarterly inflation since 1988. In model simulations, raising the central bank's inflation target to 4% from 2% can reduce, but not eliminate, the endogenous switches to the deflation equilibrium.

Suggested Citation

  • Kevin J. Lansing, 2017. "Endogenous Regime Switching Near the Zero Lower Bound," Working Paper Series 2017-24, Federal Reserve Bank of San Francisco.
  • Handle: RePEc:fip:fedfwp:2017-24
    DOI: 10.24148/wp2017-24
    Note: An earlier version of this paper was titled "Endogenous Regime Shifts in a New Keynesian Model with a Time-Varying Natural Rate of Interest."
    as

    Download full text from publisher

    File URL: http://www.frbsf.org/economic-research/publications/working-papers/2017/24/
    File Function: Full text
    Download Restriction: no

    File URL: https://libkey.io/10.24148/wp2017-24?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Alexander W. Richter & Nathaniel A. Throckmorton, 2016. "Are nonlinear methods necessary at the zero lower bound?," Working Papers 1606, Federal Reserve Bank of Dallas.
    2. George W. Evans & Seppo Honkapohja, 2005. "Policy Interaction, Expectations and the Liquidity Trap," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 8(2), pages 303-323, April.
    3. Nicolau, João, 2002. "Stationary Processes That Look Like Random Walks— The Bounded Random Walk Process In Discrete And Continuous Time," Econometric Theory, Cambridge University Press, vol. 18(1), pages 99-118, February.
    4. Eggertsson, Gauti B. & Singh, Sanjay R., 2019. "Log-linear approximation versus an exact solution at the ZLB in the New Keynesian model," Journal of Economic Dynamics and Control, Elsevier, vol. 105(C), pages 21-43.
    5. Anton Nakov, 2008. "Optimal and Simple Monetary Policy Rules with Zero Floor on the Nominal Interest Rate," International Journal of Central Banking, International Journal of Central Banking, vol. 4(2), pages 73-127, June.
    6. Hess Chung & Jean‐Philippe Laforte & David Reifschneider & John C. Williams, 2012. "Have We Underestimated the Likelihood and Severity of Zero Lower Bound Events?," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 44(s1), pages 47-82, February.
    7. Bullard, James & Cho, In-Koo, 2005. "Escapist policy rules," Journal of Economic Dynamics and Control, Elsevier, vol. 29(11), pages 1841-1865, November.
    8. Bennett McCallum, 1999. "Role of the Minimal State Variable Criterion in Rational Expectations Models," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 6(4), pages 621-639, November.
    9. Schmidt, Sebastian & Nakata, Taisuke & Hills, Timothy, 2016. "The risky steady state and the interest rate lower bound," Working Paper Series 1913, European Central Bank.
    10. Andrew Binning & Junior Maih, 2017. "Modelling Occasionally Binding Constraints Using Regime-Switching," Working Paper 2017/23, Norges Bank.
    11. Olivier Coibion & Yuriy Gorodnichenko & Johannes Wieland, 2012. "The Optimal Inflation Rate in New Keynesian Models: Should Central Banks Raise Their Inflation Targets in Light of the Zero Lower Bound?," Review of Economic Studies, Oxford University Press, vol. 79(4), pages 1371-1406.
    12. Benhabib, Jess & Evans, George W. & Honkapohja, Seppo, 2014. "Liquidity traps and expectation dynamics: Fiscal stimulus or fiscal austerity?," Journal of Economic Dynamics and Control, Elsevier, vol. 45(C), pages 220-238.
    13. Lukasz Rachel & Thomas D. Smith, 2017. "Are Low Real Interest Rates Here to Stay?," International Journal of Central Banking, International Journal of Central Banking, vol. 13(3), pages 1-42, September.
    14. Adam, Klaus & Billi, Roberto M., 2007. "Discretionary monetary policy and the zero lower bound on nominal interest rates," Journal of Monetary Economics, Elsevier, vol. 54(3), pages 728-752, April.
    15. Joseph Haubrich & George Pennacchi & Peter Ritchken, 2012. "Inflation Expectations, Real Rates, and Risk Premia: Evidence from Inflation Swaps," Review of Financial Studies, Society for Financial Studies, vol. 25(5), pages 1588-1629.
    16. Nakata, Taisuke, 2016. "Optimal fiscal and monetary policy with occasionally binding zero bound constraints," Journal of Economic Dynamics and Control, Elsevier, vol. 73(C), pages 220-240.
    17. Susanto Basu & Brent Bundick, 2015. "Endogenous volatility at the zero lower bound: implications for stabilization policy," Research Working Paper RWP 15-1, Federal Reserve Bank of Kansas City.
    18. Michael T. Kiley & John M. Roberts, 2017. "Monetary Policy in a Low Interest Rate World," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 48(1 (Spring), pages 317-396.
    19. Laurence Ball & Sandeep Mazumder, 2011. "Inflation Dynamics and the Great Recession," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 42(1 (Spring), pages 337-405.
    20. 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.
    21. Marc Carreras & Olivier Coibion & Yuriy Gorodnichenko & Johannes Wieland, 2016. "Infrequent but Long-Lived Zero-Bound Episodes and the Optimal Rate of Inflation," Working Papers id:11216, eSocialSciences.
    22. S Borağan Aruoba & Pablo Cuba-Borda & Frank Schorfheide, 2018. "Macroeconomic Dynamics Near the ZLB: A Tale of Two Countries," Review of Economic Studies, Oxford University Press, vol. 85(1), pages 87-118.
    23. John B. Taylor, 1999. "A Historical Analysis of Monetary Policy Rules," NBER Chapters, in: Monetary Policy Rules, pages 319-348, National Bureau of Economic Research, Inc.
    24. Reifschneider, David & Willams, John C, 2000. "Three Lessons for Monetary Policy in a Low-Inflation Era," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 32(4), pages 936-966, November.
    25. John Y. Campbell & N. Gregory Mankiw, 1989. "Consumption, Income, and Interest Rates: Reinterpreting the Time Series Evidence," NBER Chapters, in: NBER Macroeconomics Annual 1989, Volume 4, pages 185-246, National Bureau of Economic Research, Inc.
    26. Laura E. Jackson & Kevin L. Kliesen & Michael T. Owyang, 2015. "A Measure of Price Pressures," Review, Federal Reserve Bank of St. Louis, vol. 97(1), pages 25-52.
    27. Eusepi, Stefano, 2007. "Learnability and monetary policy: A global perspective," Journal of Monetary Economics, Elsevier, vol. 54(4), pages 1115-1131, May.
    28. Olivier Coibion & Yuriy Gorodnichenko & Johannes Wieland, 2012. "The Optimal Inflation Rate in New Keynesian Models: Should Central Banks Raise Their Inflation Targets in Light of the Zero Lower Bound?," Review of Economic Studies, Oxford University Press, vol. 79(4), pages 1371-1406.
    29. Richard Dennis, 2016. "Durations at the Zero Lower Bound," IMES Discussion Paper Series 16-E-11, Institute for Monetary and Economic Studies, Bank of Japan.
    30. Francois Gourio & Jonas Fisher, 2015. "Risk Management for Monetary Policy at the Zero Lower Bound," 2015 Meeting Papers 665, Society for Economic Dynamics.
    31. Gauti B. Eggertsson & Michael Woodford, 2003. "The Zero Bound on Interest Rates and Optimal Monetary Policy," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 34(1), pages 139-235.
    32. Evans, George W. & Honkapohja, Seppo & Mitra, Kaushik, 2016. "Expectations, Stagnation and Fiscal Policy," CEPR Discussion Papers 11428, C.E.P.R. Discussion Papers.
    33. Gauti B. Eggertsson & Neil R. Mehrotra & Jacob A. Robbins, 2019. "A Model of Secular Stagnation: Theory and Quantitative Evaluation," American Economic Journal: Macroeconomics, American Economic Association, vol. 11(1), pages 1-48, January.
    34. Alstadheim Ragna & Henderson Dale W., 2006. "Price-Level Determinacy, Lower Bounds on the Nominal Interest Rate, and Liquidity Traps," The B.E. Journal of Macroeconomics, De Gruyter, vol. 6(1), pages 1-27, November.
    35. 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.
    36. Alisdair McKay & Emi Nakamura & Jón Steinsson, 2017. "The Discounted Euler Equation: A Note," Economica, London School of Economics and Political Science, vol. 84(336), pages 820-831, October.
    37. Olivier Blanchard & Giovanni Dell’Ariccia & Paolo Mauro, 2010. "Rethinking Macroeconomic Policy," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 42(s1), pages 199-215, September.
    38. Stanley Fischer, 2016. "Monetary Policy, Financial Stability, and the Zero Lower Bound," American Economic Review, American Economic Association, vol. 106(5), pages 39-42, May.
    39. Marco Del Negro & Domenico Giannone & Marc P. Giannoni & Andrea Tambalotti, 2017. "Safety, Liquidity, and the Natural Rate of Interest," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 48(1 (Spring), pages 235-316.
    40. Arifovic, Jasmina & Schmitt-Grohé, Stephanie & Uribe, Martín, 2018. "Learning to live in a liquidity trap," Journal of Economic Dynamics and Control, Elsevier, vol. 89(C), pages 120-136.
    41. Charles Evans & Jonas Fisher & Francois Gourio & Spencer Krane, 2015. "Risk Management for Monetary Policy Near the Zero Lower Bound," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 46(1 (Spring), pages 141-219.
    42. Christopher Gust & Benjamin K. Johannsen & J. David López-Salido, 2017. "Monetary Policy, Incomplete Information, and the Zero Lower Bound," IMF Economic Review, Palgrave Macmillan;International Monetary Fund, vol. 65(1), pages 37-70, April.
    43. J. B. Taylor & Harald Uhlig (ed.), 2016. "Handbook of Macroeconomics," Handbook of Macroeconomics, Elsevier, edition 1, volume 2, number 2.
    44. Locarno, Alberto & Delle Monache, Davide & Busetti, Fabio & Gerali, Andrea, 2017. "Trust, but verify. De-anchoring of inflation expectations under learning and heterogeneity," Working Paper Series 1994, European Central Bank.
    45. James D. Hamilton & Ethan S. Harris & Jan Hatzius & Kenneth D. West, 2016. "The Equilibrium Real Funds Rate: Past, Present, and Future," IMF Economic Review, Palgrave Macmillan;International Monetary Fund, vol. 64(4), pages 660-707, November.
    46. Robert Barsky & Alejandro Justiniano & Leonardo Melosi, 2014. "The Natural Rate of Interest and Its Usefulness for Monetary Policy," American Economic Review, American Economic Association, vol. 104(5), pages 37-43, May.
    47. David L. Reifschneider & John C. Williams, 2000. "Three lessons for monetary policy in a low-inflation era," Conference Series ; [Proceedings], Federal Reserve Bank of Boston, pages 936-978.
    48. John B. Taylor, 1999. "Monetary Policy Rules," NBER Books, National Bureau of Economic Research, Inc, number tayl99-1.
    49. Olivier Blanchard & Giovanni Dell'Ariccia & Paolo Mauro, 2010. "Rethinking Macroeconomic Policy," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 42(s1), pages 199-215, September.
    50. G. Elliott & C. Granger & A. Timmermann (ed.), 2006. "Handbook of Economic Forecasting," Handbook of Economic Forecasting, Elsevier, edition 1, volume 1, number 1.
    51. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Nakata, Taisuke & Schmidt, Sebastian, 2019. "Expectations-driven liquidity traps: implications for monetary and fiscal policy," Working Paper Series 2304, European Central Bank.

    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. Lansing, Kevin J., 2021. "Endogenous forecast switching near the zero lower bound," Journal of Monetary Economics, Elsevier, vol. 117(C), pages 153-169.
    2. Martin Seneca, 2020. "Risk Shocks and Monetary Policy in the New Normal," International Journal of Central Banking, International Journal of Central Banking, vol. 16(6), pages 185-232, December.
    3. Hills, Timothy S. & Nakata, Taisuke & Schmidt, Sebastian, 2019. "Effective lower bound risk," European Economic Review, Elsevier, vol. 120(C).
    4. Michael T. Kiley & John M. Roberts, 2017. "Monetary Policy in a Low Interest Rate World," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 48(1 (Spring), pages 317-396.
    5. Bianchi, Francesco & Melosi, Leonardo & Rottner, Matthias, 2021. "Hitting the elusive inflation target," Journal of Monetary Economics, Elsevier, vol. 124(C), pages 107-122.
    6. Michael T. Kiley, 2018. "Quantitative Easing and the ‘New Normal’ in Monetary Policy," Manchester School, University of Manchester, vol. 86(S1), pages 21-49, September.
    7. Philip Coyle & Taisuke Nakata, 2019. "Optimal Inflation Target with Expectations-Driven Liquidity Traps," Finance and Economics Discussion Series 2019-036, Board of Governors of the Federal Reserve System (U.S.).
    8. Philippe Andrade & Jordi Galí & Hervé Le Bihan & Julien Matheron, 2017. "The Optimal Inflation Target and the Natural Rate of Interest," Working Papers 1009, Barcelona School of Economics.
    9. Billi, Roberto M., 2018. "Price level targeting and risk management," Economic Modelling, Elsevier, vol. 73(C), pages 163-173.
    10. Morris, Stephen D., 2020. "Is the Taylor principle still valid when rates are low?," Journal of Macroeconomics, Elsevier, vol. 64(C).
    11. Charles Evans & Jonas Fisher & Francois Gourio & Spencer Krane, 2015. "Risk Management for Monetary Policy Near the Zero Lower Bound," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 46(1 (Spring), pages 141-219.
    12. Christopher Gust & Benjamin K. Johannsen & J. David López-Salido, 2017. "Monetary Policy, Incomplete Information, and the Zero Lower Bound," IMF Economic Review, Palgrave Macmillan;International Monetary Fund, vol. 65(1), pages 37-70, April.
    13. William B English & J David López-Salido & Robert J Tetlow, 2015. "The Federal Reserve’s Framework for Monetary Policy: Recent Changes and New Questions," IMF Economic Review, Palgrave Macmillan;International Monetary Fund, vol. 63(1), pages 22-70, May.
    14. Cecion, Martina & Coenen, Günter & Gerke, Rafael & Le Bihan, Hervé & Motto, Roberto & Aguilar, Pablo & Ajevskis, Viktors & Giesen, Sebastian & Albertazzi, Ugo & Gilbert, Niels & Al-Haschimi, Alexander, 2021. "The ECB’s price stability framework: past experience, and current and future challenges," Occasional Paper Series 269, European Central Bank.
    15. Michau, Jean-Baptiste, 2019. "Monetary and fiscal policy in a liquidity trap with inflation persistence," Journal of Economic Dynamics and Control, Elsevier, vol. 100(C), pages 1-28.
    16. Christopher J. Gust & Benjamin K. Johannsen & J. David López-Salido, 2015. "Monetary Policy, Incomplete Information, and the Zero Lower Bound," Finance and Economics Discussion Series 2015-99, Board of Governors of the Federal Reserve System (U.S.).
    17. Robert Amano & Thomas Carter & Sylvain Leduc, 2019. "Precautionary Pricing: The Disinflationary Effects of ELB Risk," Working Paper Series 2019-26, Federal Reserve Bank of San Francisco.
    18. Aleksandra Praščević & Milutin Ješić, 2019. "Modeling Macroeconomic Policymakers’ Interactions under Zero Lower Bound Environment: The New Keynesian Theoretical Approach," Journal of Central Banking Theory and Practice, Central bank of Montenegro, vol. 8(1), pages 5-38.
    19. Proaño, Christian R. & Lojak, Benjamin, 2021. "Monetary Policy with a State-Dependent Inflation Target in a Behavioral Two-Country Monetary Union Model," Journal of Economic Dynamics and Control, Elsevier, vol. 133(C).
    20. Proaño, Christian R. & Lojak, Benjamin, 2020. "Animal spirits, risk premia and monetary policy at the zero lower bound," Journal of Economic Behavior & Organization, Elsevier, vol. 171(C), pages 221-233.

    More about this item

    JEL classification:

    • 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:fip:fedfwp:2017-24. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: . General contact details of provider: https://edirc.repec.org/data/frbsfus.html .

    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: Federal Reserve Bank of San Francisco Research Library (email available below). General contact details of provider: https://edirc.repec.org/data/frbsfus.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.