IDEAS home Printed from https://ideas.repec.org/p/cpr/ceprdp/18168.html
   My bibliography  Save this paper

Inequality and the Zero Lower Bound

Author

Listed:
  • Fernández-Villaverde, Jesús
  • Marbet, Joël
  • Nuño, Galo
  • Rachedi, Omar

Abstract

This paper studies how household inequality shapes the effects of the zero lower bound (ZLB) on nominal interest rates on aggregate dynamics. To do so, we consider a heterogeneous agent New Keynesian (HANK) model with an occasionally binding ZLB and solve for its fully non-linear stochastic equilibrium using a novel neural network algorithm. In this setting, changes in the monetary policy stance influence households' precautionary savings by altering the frequency of ZLB events. As a result, the model features monetary policy non-neutrality in the long run. The degree of long-run non-neutrality, i.e., by how much monetary policy shifts real rates in the ergodic distribution of the model, can be substantial when we combine low inflation targets and high levels of wealth inequality.

Suggested Citation

  • Fernández-Villaverde, Jesús & Marbet, Joël & Nuño, Galo & Rachedi, Omar, 2023. "Inequality and the Zero Lower Bound," CEPR Discussion Papers 18168, C.E.P.R. Discussion Papers.
  • Handle: RePEc:cpr:ceprdp:18168
    as

    Download full text from publisher

    File URL: https://cepr.org/publications/DP18168
    Download Restriction: CEPR Discussion Papers are free to download for our researchers, subscribers and members. If you fall into one of these categories but have trouble downloading our papers, please contact us at subscribers@cepr.org
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Arvind Krishnamurthy & Annette Vissing-Jorgensen, 2012. "The Aggregate Demand for Treasury Debt," Journal of Political Economy, University of Chicago Press, vol. 120(2), pages 233-267.
    2. Bianchi, Francesco & Melosi, Leonardo & Rottner, Matthias, 2021. "Hitting the elusive inflation target," Journal of Monetary Economics, Elsevier, vol. 124(C), pages 107-122.
    3. 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.
    4. Francesco Bianchi & Martin Lettau & Sydney C. Ludvigson, 2022. "Monetary Policy and Asset Valuation," Journal of Finance, American Finance Association, vol. 77(2), pages 967-1017, April.
    5. Veronica Guerrieri & Guido Lorenzoni, 2017. "Credit Crises, Precautionary Savings, and the Liquidity Trap," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 132(3), pages 1427-1467.
    6. Nicholas S. Souleles & Jonathan A. Parker & David S. Johnson, 2006. "Household Expenditure and the Income Tax Rebates of 2001," American Economic Review, American Economic Association, vol. 96(5), pages 1589-1610, December.
    7. 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.
    8. De Long, James Bradford & Summers, Lawrence H, 1986. "Is Increased Price Flexibility Stabilizing?," American Economic Review, American Economic Association, vol. 76(5), pages 1031-1044, December.
    9. 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?," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 79(4), pages 1371-1406.
    10. Raj Chetty & Adam Guren & Day Manoli & Andrea Weber, 2013. "Does Indivisible Labor Explain the Difference between Micro and Macro Elasticities? A Meta-Analysis of Extensive Margin Elasticities," NBER Macroeconomics Annual, University of Chicago Press, vol. 27(1), pages 1-56.
    11. 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.
    12. Adrien Auclert & Bence Bardóczy & Matthew Rognlie & Ludwig Straub, 2021. "Using the Sequence‐Space Jacobian to Solve and Estimate Heterogeneous‐Agent Models," Econometrica, Econometric Society, vol. 89(5), pages 2375-2408, September.
    13. Carvalho, Carlos & Ferrero, Andrea & Nechio, Fernanda, 2016. "Demographics and real interest rates: Inspecting the mechanism," European Economic Review, Elsevier, vol. 88(C), pages 208-226.
    14. 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.
    15. Nicolas Coeurdacier & Helene Rey & Pablo Winant, 2011. "The Risky Steady State," American Economic Review, American Economic Association, vol. 101(3), pages 398-401, May.
    16. Kurt Mitman & Iourii Manovskii & Marcus Hagedorn, 2017. "The Fiscal Multiplier," 2017 Meeting Papers 1383, Society for Economic Dynamics.
    17. Jesús Fernández-Villaverde & Pablo Guerrón-Quintana & Keith Kuester & Juan Rubio-Ramírez, 2015. "Fiscal Volatility Shocks and Economic Activity," American Economic Review, American Economic Association, vol. 105(11), pages 3352-3384, November.
    18. Yunus Aksoy & Henrique S. Basso & Ron P. Smith & Tobias Grasl, 2019. "Demographic Structure and Macroeconomic Trends," American Economic Journal: Macroeconomics, American Economic Association, vol. 11(1), pages 193-222, January.
    19. Greg Kaplan & Benjamin Moll & Giovanni L. Violante, 2018. "Monetary Policy According to HANK," American Economic Review, American Economic Association, vol. 108(3), pages 697-743, March.
    20. Lucas, Robert E, Jr, 1980. "Two Illustrations of the Quantity Theory of Money," American Economic Review, American Economic Association, vol. 70(5), pages 1005-1014, December.
    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. S. Rao Aiyagari, 1994. "Uninsured Idiosyncratic Risk and Aggregate Saving," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(3), pages 659-684.
    23. Greg Kaplan & Giovanni L. Violante & Justin Weidner, 2014. "The Wealthy Hand-to-Mouth," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 48(1 (Spring), pages 77-153.
    24. Guido Ascari, 2004. "Staggered Prices and Trend Inflation: Some Nuisances," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 7(3), pages 642-667, July.
    25. Philippe Andrade & Jordi Gali & Herve Le Bihan & Julien Matheron, 2019. "The Optimal Inflation Target and the Natural Rate of Interest," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 50(2 (Fall)), pages 173-255.
    26. Adrien Auclert, 2019. "Monetary Policy and the Redistribution Channel," American Economic Review, American Economic Association, vol. 109(6), pages 2333-2367, June.
    27. Hills, Timothy S. & Nakata, Taisuke & Schmidt, Sebastian, 2019. "Effective lower bound risk," European Economic Review, Elsevier, vol. 120(C).
    28. Maliar, Lilia & Maliar, Serguei & Valli, Fernando, 2010. "Solving the incomplete markets model with aggregate uncertainty using the Krusell-Smith algorithm," Journal of Economic Dynamics and Control, Elsevier, vol. 34(1), pages 42-49, January.
    29. Jonathan A. Parker & Nicholas S. Souleles & David S. Johnson & Robert McClelland, 2013. "Consumer Spending and the Economic Stimulus Payments of 2008," American Economic Review, American Economic Association, vol. 103(6), pages 2530-2553, October.
    30. Gabriele Fiorentini & Alessandro Galesi & Gabriel Pérez-Quirós & Enrique Sentana, 2018. "The rise and fall of the natural interest rate," Working Papers 1822, Banco de España.
    31. Jesús Fernández‐Villaverde & Samuel Hurtado & Galo Nuño, 2023. "Financial Frictions and the Wealth Distribution," Econometrica, Econometric Society, vol. 91(3), pages 869-901, May.
    32. Broda, Christian & Parker, Jonathan A., 2014. "The Economic Stimulus Payments of 2008 and the aggregate demand for consumption," Journal of Monetary Economics, Elsevier, vol. 68(S), pages 20-36.
    33. Marlon Azinovic & Luca Gaegauf & Simon Scheidegger, 2022. "Deep Equilibrium Nets," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 63(4), pages 1471-1525, November.
    34. Lawrence J. Christiano & Martin Eichenbaum & Charles L. Evans, 2005. "Nominal Rigidities and the Dynamic Effects of a Shock to Monetary Policy," Journal of Political Economy, University of Chicago Press, vol. 113(1), pages 1-45, February.
    35. Nicolas Coeurdacier & Hélène Rey & Pablo Winant, 2011. "The risky steady state," SciencePo Working papers Main hal-00972801, HAL.
    36. SeHyoun Ahn & Greg Kaplan & Benjamin Moll & Thomas Winberry & Christian Wolf, 2018. "When Inequality Matters for Macro and Macro Matters for Inequality," NBER Macroeconomics Annual, University of Chicago Press, vol. 32(1), pages 1-75.
    37. 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?," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 79(4), pages 1371-1406.
    38. Christian Bayer & Ralph Luetticke & Lien Pham‐Dao & Volker Tjaden, 2019. "Precautionary Savings, Illiquid Assets, and the Aggregate Consequences of Shocks to Household Income Risk," Econometrica, Econometric Society, vol. 87(1), pages 255-290, January.
    39. Alisdair McKay & Emi Nakamura & Jón Steinsson, 2016. "The Power of Forward Guidance Revisited," American Economic Review, American Economic Association, vol. 106(10), pages 3133-3158, October.
    40. Alisdair McKay & Ricardo Reis, 2016. "The Role of Automatic Stabilizers in the U.S. Business Cycle," Econometrica, Econometric Society, vol. 84, pages 141-194, January.
    41. 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.
    42. Gauti B. Eggertsson & Paul Krugman, 2012. "Debt, Deleveraging, and the Liquidity Trap: A Fisher-Minsky-Koo Approach," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 127(3), pages 1469-1513.
    43. Guido Ascari & Argia M. Sbordone, 2014. "The Macroeconomics of Trend Inflation," Journal of Economic Literature, American Economic Association, vol. 52(3), pages 679-739, September.
    44. Greg Kaplan & Giovanni L. Violante & Justin Weidner, 2014. "The Wealthy Hand-to-Mouth," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 45(1 (Spring), pages 77-153.
    45. 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.
    46. Marc Dordal i Carreras & Olivier Coibion & Yuriy Gorodnichenko & Johannes Wieland, 2016. "Infrequent but Long-Lived Zero Lower Bound Episodes and the Optimal Rate of Inflation," Annual Review of Economics, Annual Reviews, vol. 8(1), pages 497-520, October.
    47. Nicolas Coeurdacier & Hélène Rey & Pablo Winant, 2011. "The risky steady state," SciencePo Working papers hal-00972801, HAL.
    48. repec:hal:wpspec:info:hdl:2441/c8dmi8nm4pdjkuc9g704ld0h3 is not listed on IDEAS
    49. Per Krusell & Anthony A. Smith & Jr., 1998. "Income and Wealth Heterogeneity in the Macroeconomy," Journal of Political Economy, University of Chicago Press, vol. 106(5), pages 867-896, October.
    50. Young, Eric R., 2010. "Solving the incomplete markets model with aggregate uncertainty using the Krusell-Smith algorithm and non-stochastic simulations," Journal of Economic Dynamics and Control, Elsevier, vol. 34(1), pages 36-41, January.
    51. repec:hal:spmain:info:hdl:2441/c8dmi8nm4pdjkuc9g704ld0h3 is not listed on IDEAS
    52. Gorodnichenko, Yuriy & Maliar, Serguei & Naubert, Christopher, 2020. "Household Savings and Monetary Policy under Individual and Aggregate Stochastic Volatility," CEPR Discussion Papers 15614, C.E.P.R. Discussion Papers.
    53. Maliar, Lilia & Maliar, Serguei & Winant, Pablo, 2021. "Deep learning for solving dynamic economic models," Journal of Monetary Economics, Elsevier, vol. 122(C), pages 76-101.
    54. Huggett, Mark, 1993. "The risk-free rate in heterogeneous-agent incomplete-insurance economies," Journal of Economic Dynamics and Control, Elsevier, vol. 17(5-6), pages 953-969.
    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. Adrien Auclert, 2019. "Monetary Policy and the Redistribution Channel," American Economic Review, American Economic Association, vol. 109(6), pages 2333-2367, June.
    2. Bilbiie, Florin O., 2020. "The New Keynesian cross," Journal of Monetary Economics, Elsevier, vol. 114(C), pages 90-108.
    3. Sandra Daudignon & Oreste Tristani, 2022. "Monetary policy and the drifting natural rate of interest," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 22/1057, Ghent University, Faculty of Economics and Business Administration.
    4. Alisdair McKay & Emi Nakamura & Jón Steinsson, 2016. "The Power of Forward Guidance Revisited," American Economic Review, American Economic Association, vol. 106(10), pages 3133-3158, October.
    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. Matthew Rognlie & Adrien Auclert, 2016. "Inequality and Aggregate Demand," 2016 Meeting Papers 1353, Society for Economic Dynamics.
    7. Bayer, Christian & Born, Benjamin & Luetticke, Ralph, 2023. "The liquidity channel of fiscal policy," Journal of Monetary Economics, Elsevier, vol. 134(C), pages 86-117.
    8. Ralph Luetticke, 2021. "Transmission of Monetary Policy with Heterogeneity in Household Portfolios," American Economic Journal: Macroeconomics, American Economic Association, vol. 13(2), pages 1-25, April.
    9. Hong, Seungki, 2023. "MPCs in an emerging economy: Evidence from Peru," Journal of International Economics, Elsevier, vol. 140(C).
    10. Dobrew, Michael & Gerke, Rafael & Giesen, Sebastian & Röttger, Joost, 2023. "Make-up strategies with incomplete markets and bounded rationality," Discussion Papers 01/2023, Deutsche Bundesbank.
    11. 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.
    12. Bilbiie, Florin O. & Känzig, Diego R. & Surico, Paolo, 2022. "Capital and income inequality: An aggregate-demand complementarity," Journal of Monetary Economics, Elsevier, vol. 126(C), pages 154-169.
    13. Stijn Claessens & M Ayhan Kose, 2018. "Frontiers of macrofinancial linkages," BIS Papers, Bank for International Settlements, number 95.
    14. Hills, Timothy S. & Nakata, Taisuke & Schmidt, Sebastian, 2019. "Effective lower bound risk," European Economic Review, Elsevier, vol. 120(C).
    15. Jonathan Heathcote & Fabrizio Perri, 2018. "Wealth and Volatility," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 85(4), pages 2173-2213.
    16. Florin Bilbiie & Xavier Ragot, 2021. "Optimal Monetary Policy and Liquidity with Heterogeneous Households," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 41, pages 71-95, July.
    17. Krueger, D. & Mitman, K. & Perri, F., 2016. "Macroeconomics and Household Heterogeneity," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 843-921, Elsevier.
    18. Jesús Fernández‐Villaverde & Samuel Hurtado & Galo Nuño, 2023. "Financial Frictions and the Wealth Distribution," Econometrica, Econometric Society, vol. 91(3), pages 869-901, May.
    19. repec:hal:wpspec:info:hdl:2441/j75mfllkr89c8aod1nr586ksc is not listed on IDEAS
    20. Adrien Auclert & Ludwig Straub & Matthew Rognlie, 2019. "Micro Jumps, Macro Humps: monetary policy and business cycles in an estimated HANK model," 2019 Meeting Papers 1449, Society for Economic Dynamics.
    21. Jiequn Han & Yucheng Yang & Weinan E, 2021. "DeepHAM: A Global Solution Method for Heterogeneous Agent Models with Aggregate Shocks," Papers 2112.14377, arXiv.org, revised Feb 2022.

    More about this item

    Keywords

    Heterogeneous agents;

    JEL classification:

    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • E12 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Keynes; Keynesian; Post-Keynesian; Modern Monetary Theory
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • 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
    • E58 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Central Banks and Their Policies

    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:cpr:ceprdp:18168. 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: the person in charge (email available below). General contact details of provider: https://www.cepr.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.