IDEAS home Printed from https://ideas.repec.org/a/ijc/ijcjou/y2023q1a6.html
   My bibliography  Save this article

The Natural Rate of Interest in a Non-linear DSGE Model

Author

Listed:
  • Yasuo Hirose

    (Keio University)

  • Takeki Sunakawa

    (Hitotsubashi University)

Abstract

This paper investigates how and to what extent nonlinearities, including the zero lower bound on the nominal interest rate, affect the estimate of the U.S. natural rate of interest in a dynamic stochastic general equilibrium model. The estimated natural rate in a non-linear model is substantially different from that in its linear counterpart after the global financial crisis because of the zero lower bound. Other non-linearities such as price and wage dispersion, from which a linear model abstracts, play a negligible role in identifying the natural rate.

Suggested Citation

  • Yasuo Hirose & Takeki Sunakawa, 2023. "The Natural Rate of Interest in a Non-linear DSGE Model," International Journal of Central Banking, International Journal of Central Banking, vol. 19(1), pages 301-340, March.
    • Handle: RePEc:ijc:ijcjou:y:2023:q:1:a:6
    as

    Download full text from publisher

    File URL: http://www.ijcb.org/journal/ijcb23q1a6.pdf
    Download Restriction: no
    File URL: http://www.ijcb.org/journal/ijcb23q1a6.htm
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Fernández-Villaverde, Jesús & Gordon, Grey & Guerrón-Quintana, Pablo & Rubio-Ramírez, Juan F., 2015. "Nonlinear adventures at the zero lower bound," Journal of Economic Dynamics and Control, Elsevier, vol. 57(C), pages 182-204.
    2. Alexander W. Richter & Nathaniel A. Throckmorton, 2016. "Are nonlinear methods necessary at the zero lower bound?," Working Papers 1606, Federal Reserve Bank of Dallas.
    3. Timothy S. Hills & Taisuke Nakata & Sebastian Schmidt, 2016. "The Risky Steady State and the Interest Rate Lower Bound," Finance and Economics Discussion Series 2016-9, Board of Governors of the Federal Reserve System (U.S.).
    4. 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.
    5. Andrés, Javier & David López-Salido, J. & Nelson, Edward, 2009. "Money and the natural rate of interest: Structural estimates for the United States and the euro area," Journal of Economic Dynamics and Control, Elsevier, vol. 33(3), pages 758-776, March.
    6. Jesús Fernández-Villaverde & Juan F. Rubio-Ramírez & Manuel S. Santos, 2006. "Convergence Properties of the Likelihood of Computed Dynamic Models," Econometrica, Econometric Society, vol. 74(1), pages 93-119, January.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. Neiss, Katharine S. & Nelson, Edward, 2003. "The Real-Interest-Rate Gap As An Inflation Indicator," Macroeconomic Dynamics, Cambridge University Press, vol. 7(2), pages 239-262, April.
    12. Judd, Kenneth L. & Maliar, Lilia & Maliar, Serguei & Valero, Rafael, 2014. "Smolyak method for solving dynamic economic models: Lagrange interpolation, anisotropic grid and adaptive domain," Journal of Economic Dynamics and Control, Elsevier, vol. 44(C), pages 92-123.
    13. Cúrdia, Vasco & Ferrero, Andrea & Ng, Ging Cee & Tambalotti, Andrea, 2015. "Has U.S. monetary policy tracked the efficient interest rate?," Journal of Monetary Economics, Elsevier, vol. 70(C), pages 72-83.
    14. Maik H. Wolters, 2018. "How the baby boomers' retirement wave distorts model‐based output gap estimates," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 33(5), pages 680-689, August.
    15. 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.
    16. 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.
    17. Yasuo Hirose & Takeki Sunakawa, 2016. "Parameter Bias in an Estimated DSGE Model," Working Papers halshs-01661908, HAL.
    18. 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.
    19. 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.
    20. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
    21. 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.
    22. Hirokuni Iiboshi & Mototsugu Shintani & Kozo Ueda, 2022. "Estimating a Nonlinear New Keynesian Model with the Zero Lower Bound for Japan," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 54(6), pages 1637-1671, September.
    23. Ngo, Phuong V., 2014. "Optimal discretionary monetary policy in a micro-founded model with a zero lower bound on nominal interest rate," Journal of Economic Dynamics and Control, Elsevier, vol. 45(C), pages 44-65.
    24. Malin, Benjamin A. & Krueger, Dirk & Kubler, Felix, 2011. "Solving the multi-country real business cycle model using a Smolyak-collocation method," Journal of Economic Dynamics and Control, Elsevier, vol. 35(2), pages 229-239, February.
    25. J. B. Taylor & Harald Uhlig (ed.), 2016. "Handbook of Macroeconomics," Handbook of Macroeconomics, Elsevier, edition 1, volume 2, number 2.
    26. Richter, Alexander W. & Throckmorton, Nathaniel A., 2016. "Is Rotemberg pricing justified by macro data?," Economics Letters, Elsevier, vol. 149(C), pages 44-48.
    27. Edward P. Herbst & Frank Schorfheide, 2016. "Bayesian Estimation of DSGE Models," Economics Books, Princeton University Press, edition 1, number 10612.
    28. Edge, Rochelle M. & Kiley, Michael T. & Laforte, Jean-Philippe, 2008. "Natural rate measures in an estimated DSGE model of the U.S. economy," Journal of Economic Dynamics and Control, Elsevier, vol. 32(8), pages 2512-2535, August.
    29. 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, Springer, vol. 70(1), pages 51-104, March.
    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. Hills, Timothy S. & Nakata, Taisuke & Schmidt, Sebastian, 2019. "Effective lower bound risk," European Economic Review, Elsevier, vol. 120(C).
    2. Hirokuni Iiboshi & Mototsugu Shintani & Kozo Ueda, 2022. "Estimating a Nonlinear New Keynesian Model with the Zero Lower Bound for Japan," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 54(6), pages 1637-1671, September.
    3. Zhang, Ren & Martínez-García, Enrique & Wynne, Mark A. & Grossman, Valerie, 2021. "Ties that bind: Estimating the natural rate of interest for small open economies," Journal of International Money and Finance, Elsevier, vol. 113(C).
    4. Martínez-García, Enrique, 2021. "Get the lowdown: The international side of the fall in the U.S. natural rate of interest," Economic Modelling, Elsevier, vol. 100(C).
    5. Beechey, Meredith & Österholm, Pär & Poon, Aubrey, 2023. "Estimating the US trend short-term interest rate," Finance Research Letters, Elsevier, vol. 55(PA).

    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. Hirokuni Iiboshi & Mototsugu Shintani & Kozo Ueda, 2022. "Estimating a Nonlinear New Keynesian Model with the Zero Lower Bound for Japan," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 54(6), pages 1637-1671, September.
    2. 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.
    3. 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, Springer, vol. 70(1), pages 51-104, March.
    4. 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.
    5. Hills, Timothy S. & Nakata, Taisuke & Schmidt, Sebastian, 2019. "Effective lower bound risk," European Economic Review, Elsevier, vol. 120(C).
    6. Paccagnini, Alessia, 2017. "Dealing with Misspecification in DSGE Models: A Survey," MPRA Paper 82914, University Library of Munich, Germany.
    7. Yasuo Hirose & Takeki Sunakawa, 2016. "Parameter Bias in an Estimated DSGE Model," Working Papers halshs-01661908, HAL.
    8. 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.
    9. 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.
    10. 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.
    11. Lansing, Kevin J., 2021. "Endogenous forecast switching near the zero lower bound," Journal of Monetary Economics, Elsevier, vol. 117(C), pages 153-169.
    12. 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.
    13. Neri, Stefano & Gerali, Andrea, 2019. "Natural rates across the Atlantic," Journal of Macroeconomics, Elsevier, vol. 62(C).
    14. 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.
    15. Andrew Binning & Junior Maih, 2016. "Implementing the Zero Lower Bound in an Estimated Regime-Switching DSGE Model," Working Papers No 3/2016, Centre for Applied Macro- and Petroleum economics (CAMP), BI Norwegian Business School.
    16. Taisuke Nakata & Sebastian Schmidt, 2019. "Gradualism and Liquidity Traps," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 31, pages 182-199, January.
    17. Taisuke Nakata, 2017. "Uncertainty at the Zero Lower Bound," American Economic Journal: Macroeconomics, American Economic Association, vol. 9(3), pages 186-221, July.
    18. Fernández-Villaverde, J. & Rubio-Ramírez, J.F. & Schorfheide, F., 2016. "Solution and Estimation Methods for DSGE Models," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 527-724, Elsevier.
    19. 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.
    20. Eric Sims & Jonathan Wolff, 2018. "The Output And Welfare Effects Of Government Spending Shocks Over The Business Cycle," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 59(3), pages 1403-1435, August.

    More about this item

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • 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

    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:ijc:ijcjou:y:2023:q:1:a:6. 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: Bank for International Settlements (email available below). General contact details of provider: https://www.ijcb.org/ .

    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.