IDEAS home Printed from https://ideas.repec.org/p/fip/feddwp/1606.html
   My bibliography  Save this paper

Are nonlinear methods necessary at the zero lower bound?

Author

Abstract

This paper examines the importance of the zero lower bound (ZLB) constraint on the nominal interest rate by estimating three variants of a small-scale New Keynesian model: (1) a nonlinear model with an occassionally binding ZLB constraint; (2) a constrained linear model, which imposes the constraint in the filter but not the solution; and (3) an unconstrained linear model, which never imposes the constraint. The posterior distributions are similar, but important differences arise in their predictions at the ZLB. The nonlinear model fits the data better at the ZLB and primarily attributes the ZLB to a reduction in household demand due to discount factor shocks. In the linear models, the ZLB is due to large contractionary monetary policy shocks, which is at odds with the Fed?s expansionary policy during the Great Recession. Posterior predictive analysis shows the nonlinear model is partially able to account for the increase in output volatility and the negative skewness in output and inflation that occurred during the ZLB period, whereas the linear models predict almost no changes in those statistics. We also compare the results from our nonlinear model to the quasi-linear solution based on OccBin. The quasi-linear model fits the data better than the linear models, but it still generate too little volatility at the ZLB and predicts that a large policy shock caused the ZLB to bind in 2008Q4.

Suggested Citation

  • Alexander W. Richter & Nathaniel A. Throckmorton, 2016. "Are nonlinear methods necessary at the zero lower bound?," Working Papers 1606, Federal Reserve Bank of Dallas.
  • Handle: RePEc:fip:feddwp:1606
    DOI: 10.24149/wp1606
    as

    Download full text from publisher

    File URL: http://www.dallasfed.org/assets/documents/research/papers/2016/wp1606.pdf
    File Function: Full text
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Faust, Jon & Gupta, Abhishek, 2010. "Posterior Predictive Analysis for Evaluating DSGE Models," MPRA Paper 26721, University Library of Munich, Germany.
    2. Suh, Hyunduk & Walker, Todd B., 2016. "Taking financial frictions to the data," Journal of Economic Dynamics and Control, Elsevier, vol. 64(C), pages 39-65.
    3. 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.
    4. Gavin, William T. & Keen, Benjamin D. & Richter, Alexander W. & Throckmorton, Nathaniel A., 2015. "The zero lower bound, the dual mandate, and unconventional dynamics," Journal of Economic Dynamics and Control, Elsevier, vol. 55(C), pages 14-38.
    5. Taisuke Nakata, 2017. "Uncertainty at the Zero Lower Bound," American Economic Journal: Macroeconomics, American Economic Association, vol. 9(3), pages 186-221, July.
    6. Michael Plante & Alexander W. Richter & Nathaniel A. Throckmorton, 2018. "The Zero Lower Bound and Endogenous Uncertainty," Economic Journal, Royal Economic Society, vol. 128(611), pages 1730-1757, June.
    7. 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.
    8. 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.
    9. Yasuo Hirose & Atsushi Inoue, 2016. "The Zero Lower Bound and Parameter Bias in an Estimated DSGE Model," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 31(4), pages 630-651, June.
    10. Boneva, Lena Mareen & Braun, R. Anton & Waki, Yuichiro, 2016. "Some unpleasant properties of loglinearized solutions when the nominal rate is zero," Journal of Monetary Economics, Elsevier, vol. 84(C), pages 216-232.
    11. Peter N. Ireland, 2011. "A New Keynesian Perspective on the Great Recession," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43(1), pages 31-54, February.
    12. Rotemberg, Julio J, 1982. "Sticky Prices in the United States," Journal of Political Economy, University of Chicago Press, vol. 90(6), pages 1187-1211, December.
    13. Koop, Gary & Pesaran, M. Hashem & Potter, Simon M., 1996. "Impulse response analysis in nonlinear multivariate models," Journal of Econometrics, Elsevier, vol. 74(1), pages 119-147, September.
    14. Christopher J. Gust & Edward Herbst & J. David López-Salido & Matthew E. Smith, 2012. "The Empirical Implications of the Interest-Rate Lower Bound," Finance and Economics Discussion Series 2012-83, Board of Governors of the Federal Reserve System (U.S.).
    15. Edward P. Herbst & Frank Schorfheide, 2016. "Bayesian Estimation of DSGE Models," Economics Books, Princeton University Press, edition 1, number 10612, October.
    16. Coleman, Wilbur John, II, 1991. "Equilibrium in a Production Economy with an Income Tax," Econometrica, Econometric Society, vol. 59(4), pages 1091-1104, July.
    17. William B. Peterman, 2016. "Reconciling Micro And Macro Estimates Of The Frisch Labor Supply Elasticity," Economic Inquiry, Western Economic Association International, vol. 54(1), pages 100-120, January.
    18. Sims, Christopher A, 2002. "Solving Linear Rational Expectations Models," Computational Economics, Springer;Society for Computational Economics, vol. 20(1-2), pages 1-20, October.
    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. Jesper Lindé & Mathias Trabandt, 2018. "Should we use linearized models to calculate fiscal multipliers?," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 33(7), pages 937-965, November.
    2. Benjamin D. Keen & Alexander W. Richter & Nathaniel A. Throckmorton, 2017. "Forward Guidance And The State Of The Economy," Economic Inquiry, Western Economic Association International, vol. 55(4), pages 1593-1624, October.
    3. Hirokuni Iiboshi & Mototsugu Shintani & Kozo Ueda, 2018. "Estimating a nonlinear new Keynesian model with the zero lower bound for Japan," CAMA Working Papers 2018-37, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
    4. Horvath, Roman & Kaszab, Lorant & Marsal, Ales & Rabitsch, Katrin, 2020. "Determinants of fiscal multipliers revisited," Journal of Macroeconomics, Elsevier, vol. 63(C).
    5. Yasuo Hirose & Takeki Sunakawa, 2017. "The natural rate of interest in a nonlinear DSGE model," CAMA Working Papers 2017-38, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
    6. Martin Harding & Mathias Klein, 2019. "Monetary Policy and Household Deleveraging," Discussion Papers of DIW Berlin 1806, DIW Berlin, German Institute for Economic Research.
    7. Lindé, Jesper & Trabandt, Mathias, 2019. "Resolving the Missing Deflation Puzzle," CEPR Discussion Papers 13690, C.E.P.R. Discussion Papers.
    8. Morris, Stephen D., 2020. "Is the Taylor principle still valid when rates are low?," Journal of Macroeconomics, Elsevier, vol. 64(C).
    9. Badarau, Cristina & Sangaré, Ibrahima, 2019. "Exchange rate regimes in a liquidity trap," Journal of International Money and Finance, Elsevier, vol. 93(C), pages 55-80.
    10. Kevin J. Lansing, 2017. "Endogenous Regime Switching Near the Zero Lower Bound," Working Paper Series 2017-24, Federal Reserve Bank of San Francisco.
    11. Lansing, Kevin J., 2021. "Endogenous forecast switching near the zero lower bound," Journal of Monetary Economics, Elsevier, vol. 117(C), pages 153-169.

    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. 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.
    2. Michael Plante & Alexander W. Richter & Nathaniel A. Throckmorton, 2018. "The Zero Lower Bound and Endogenous Uncertainty," Economic Journal, Royal Economic Society, vol. 128(611), pages 1730-1757, June.
    3. Hirokuni Iiboshi & Mototsugu Shintani & Kozo Ueda, 2018. "Estimating a nonlinear new Keynesian model with the zero lower bound for Japan," CAMA Working Papers 2018-37, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
    4. Benjamin D. Keen & Alexander W. Richter & Nathaniel A. Throckmorton, 2017. "Forward Guidance And The State Of The Economy," Economic Inquiry, Western Economic Association International, vol. 55(4), pages 1593-1624, October.
    5. Gavin, William T. & Keen, Benjamin D. & Richter, Alexander W. & Throckmorton, Nathaniel A., 2015. "The zero lower bound, the dual mandate, and unconventional dynamics," Journal of Economic Dynamics and Control, Elsevier, vol. 55(C), pages 14-38.
    6. 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.
    7. Yasuo Hirose & Atsushi Inoue, 2016. "The Zero Lower Bound and Parameter Bias in an Estimated DSGE Model," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 31(4), pages 630-651, June.
    8. Yasuo Hirose & Takeki Sunakawa, 2019. "Review of Solution and Estimation Methods for Nonlinear Dynamic Stochastic General Equilibrium Models with the Zero Lower Bound," The Japanese Economic Review, Japanese Economic Association, vol. 70(1), pages 51-104, March.
    9. Richter Alexander W. & Throckmorton Nathaniel A., 2015. "The zero lower bound: frequency, duration, and numerical convergence," The B.E. Journal of Macroeconomics, De Gruyter, vol. 15(1), pages 1-26, January.
    10. Alexander Richter & Nathaniel Throckmorton & Todd Walker, 2014. "Accuracy, Speed and Robustness of Policy Function Iteration," Computational Economics, Springer;Society for Computational Economics, vol. 44(4), pages 445-476, December.
    11. William T. Gavin & Benjamin D. Keen & Alexander W. Richter & Nathaniel A. Throckmorton, 2013. "Global Dynamics at the Zero Lower Bound," Auburn Economics Working Paper Series auwp2013-17, Department of Economics, Auburn University.
    12. Paccagnini, Alessia, 2017. "Dealing with Misspecification in DSGE Models: A Survey," MPRA Paper 82914, University Library of Munich, Germany.
    13. Jesper Lindé & Mathias Trabandt, 2018. "Should we use linearized models to calculate fiscal multipliers?," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 33(7), pages 937-965, November.
    14. Yasuo Hirose & Takeki Sunakawa, 2015. "Parameter bias in an estimated DSGE model: does nonlinearity matter?," CAMA Working Papers 2015-46, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
    15. Deepa D. Datta & Benjamin K. Johannsen & Hannah Kwon & Robert J. Vigfusson, 2021. "Oil, Equities, and the Zero Lower Bound," American Economic Journal: Macroeconomics, American Economic Association, vol. 13(2), pages 214-253, April.
    16. Benjamin K. Johannsen, 2014. "When are the Effects of Fiscal Policy Uncertainty Large?," Finance and Economics Discussion Series 2014-40, Board of Governors of the Federal Reserve System (U.S.).
    17. Lindé, Jesper & Smets, Frank & Wouters, Rafael, 2016. "Challenges for Central Banks´ Macro Models," Working Paper Series 323, Sveriges Riksbank (Central Bank of Sweden).
    18. Hirose, Yasuo, 2020. "An Estimated Dsge Model With A Deflation Steady State," Macroeconomic Dynamics, Cambridge University Press, vol. 24(5), pages 1151-1185, July.
    19. Lindé, J. & Smets, F. & Wouters, R., 2016. "Challenges for Central Banks’ Macro Models," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 2185-2262, Elsevier.
    20. Taisuke Nakata, 2018. "Reputation and Liquidity Traps," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 28, pages 252-268, April.

    More about this item

    Keywords

    Bayesian estimation; model comparison; zero lower bound; particle filter;
    All these keywords.

    JEL classification:

    • C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General
    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • E58 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Central Banks and Their Policies

    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:feddwp:1606. 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/frbdaus.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 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.

    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.