IDEAS home Printed from https://ideas.repec.org/a/tpr/restat/v105y2023i4p931-947.html
   My bibliography  Save this article

The Four-Equation New Keynesian Model

Author

Listed:
  • Eric Sims
  • Jing Cynthia Wu

    (Notre Dame and NBER)

  • Ji Zhang

    (Tsinghua PBCSF)

Abstract

This paper develops a New Keynesian model featuring financial intermediation, short- and long-term bonds, credit shocks, and scope for unconventional monetary policy. The log-linearized model reduces to four equations: Phillips and IS curves, as well as policy rules for the short-term interest rate and the central bank's long-bond portfolio (QE). Credit shocks and QE appear in both the IS and Phillips curves. In equilibrium, optimal monetary policy entails adjusting the short-term interest rate to offset natural rate shocks but using QE to offset credit market disruptions. Use of QE significantly mitigates the costs of a binding zero lower bound.

Suggested Citation

  • Eric Sims & Jing Cynthia Wu & Ji Zhang, 2023. "The Four-Equation New Keynesian Model," The Review of Economics and Statistics, MIT Press, vol. 105(4), pages 931-947, July.
    • Handle: RePEc:tpr:restat:v:105:y:2023:i:4:p:931-947
    DOI: 10.1162/rest_a_01071
    as

    Download full text from publisher

    File URL: https://doi.org/10.1162/rest_a_01071
    Download Restriction: Access to PDF is restricted to subscribers.
    File URL: https://libkey.io/10.1162/rest_a_01071?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
    ---><---

    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. Sargent, Thomas J & Wallace, Neil, 1975. ""Rational" Expectations, the Optimal Monetary Instrument, and the Optimal Money Supply Rule," Journal of Political Economy, University of Chicago Press, vol. 83(2), pages 241-254, April.
    2. Sarah Mouabbi & Jean‐Guillaume Sahuc, 2019. "Evaluating the Macroeconomic Effects of the ECB's Unconventional Monetary Policies," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 51(4), pages 831-858, June.
    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. Jing Cynthia Wu & Yinxi Xie & Ji Zhang, 2024. "The Role of International Financial Integration in Monetary Policy Transmission," IMF Economic Review, Palgrave Macmillan;International Monetary Fund, vol. 72(3), pages 944-990, September.
    2. Karadi, Peter & Nakov, Anton, 2021. "Effectiveness and addictiveness of quantitative easing," Journal of Monetary Economics, Elsevier, vol. 117(C), pages 1096-1117.
    3. Bailey, Andrew & Bridges, Jonathan & Harrison, Richard & Jones, Josh & Mankodi, Aakash, 2020. "The central bank balance sheet as a policy tool: past, present and future," Bank of England working papers 899, Bank of England.
    4. Joshua Brault & Hashmat Khan & Louis Phaneuf & Jean Gardy Victor, 2021. "Did the Fed Remain at the ZLB Long Enough? Lessons from the 2008-2019 Period," Working Papers 21-09, Chair in macroeconomics and forecasting, University of Quebec in Montreal's School of Management.
    5. Cantore, Cristiano & Freund, Lukas B., 2021. "Workers, capitalists, and the government: fiscal policy and income (re)distribution," Journal of Monetary Economics, Elsevier, vol. 119(C), pages 58-74.
    6. Robin Greenwood & Samuel Hanson & Dimitri Vayanos, 2023. "Supply and Demand and the Term Structure of Interest Rates," NBER Working Papers 31879, National Bureau of Economic Research, Inc.
    7. Cantore, Cristiano & Meichtry, Pascal, 2024. "Unwinding quantitative easing: State dependency and household heterogeneity," European Economic Review, Elsevier, vol. 170(C).
    8. Bletzinger, Tilman & von Thadden, Leopold, 2021. "Designing QE in a fiscally sound monetary union," European Economic Review, Elsevier, vol. 132(C).
    9. Garriga, Carlos & Kydland, Finn E. & Šustek, Roman, 2021. "MoNK: Mortgages in a New-Keynesian model," Journal of Economic Dynamics and Control, Elsevier, vol. 123(C).
    10. Cole, Stephen J. & Huh, Sungjun, 2024. "Measuring the effects of unconventional monetary policy tools under adaptive learning," Journal of Economic Dynamics and Control, Elsevier, vol. 164(C).
    11. Jing Cynthia Wu & Fan Dora Xia, 2020. "Negative interest rate policy and the yield curve," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 35(6), pages 653-672, September.
    12. Boehl, Gregor, 2022. "Monetary policy and speculative asset markets," European Economic Review, Elsevier, vol. 148(C).
    13. von Campe, Roland, 2024. "Unconventional monetary policy, financial frictions, and the equity tandem," Journal of Macroeconomics, Elsevier, vol. 79(C).
    14. Roulleau-Pasdeloup, Jordan, 2023. "Analyzing Linear DSGE models: the Method of Undetermined Markov States," Journal of Economic Dynamics and Control, Elsevier, vol. 151(C).
    15. Philippe Goulet Coulombe, 2022. "A Neural Phillips Curve and a Deep Output Gap," Working Papers 22-01, Chair in macroeconomics and forecasting, University of Quebec in Montreal's School of Management.
    16. Böhl, Gregor & Lieberknecht, Philipp, 2021. "The hockey stick Phillips curve and the effective lower bound," Discussion Papers 55/2021, Deutsche Bundesbank.
    17. Eric R. Sims & Jing Cynthia Wu, 2020. "Wall Street vs. Main Street QE," NBER Working Papers 27295, National Bureau of Economic Research, Inc.
    18. Tarron Khemraj & Sherry Yu, 2023. "Inflation Dynamics and Quantitative Easing," Eastern Economic Journal, Palgrave Macmillan;Eastern Economic Association, vol. 49(4), pages 613-638, October.
    19. Ani Asoyan & Vahagn Davtyan & Haykaz Igityan & Hasmik Kartashyan & Hovhannes Manukyan, 2020. "Modelling the Effects of a Health Shock on the Armenian Economy," Russian Journal of Money and Finance, Bank of Russia, vol. 79(4), pages 18-44, December.
    20. Donato Masciandaro & Romano Vincenzo Tarsia, 2021. "Society, Politicians, Climate Change and Central Banks: An Index of Green Activism," BAFFI CAREFIN Working Papers 21167, BAFFI CAREFIN, Centre for Applied Research on International Markets Banking Finance and Regulation, Universita' Bocconi, Milano, Italy.
    21. Cardamone, Dario & Sims, Eric & Wu, Jing Cynthia, 2023. "Wall Street QE vs. Main Street Lending," European Economic Review, Elsevier, vol. 156(C).
    22. Eric Schaling & Kgotso Morema, 2022. "Optimalinterestrategapsforflexibleinflationtargeting," Working Papers 11037, South African Reserve Bank.
    23. Ani Asoyan & Vahagn Davtyan & Haykaz Igityan & Hasmik Kartashyan & Hovhannes Manukyan, 2020. "Modelling the Effects of a Health Shock on the Armenian Economy," Working Papers 15, Central Bank of the Republic of Armenia, revised Dec 2020.
    24. Philippe Goulet Coulombe, 2022. "A Neural Phillips Curve and a Deep Output Gap," Papers 2202.04146, arXiv.org, revised Oct 2024.
    25. Sims, Eric & Wu, Jing Cynthia, 2021. "Evaluating Central Banks’ tool kit: Past, present, and future," Journal of Monetary Economics, Elsevier, vol. 118(C), pages 135-160.

    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. Rant, Vasja & Puc, Anja & Čok, Mitja & Verbič, Miroslav, 2024. "Macroeconomic impacts of monetary and fiscal policy in the euro area in times of shifting policies: A SVAR approach," Finance Research Letters, Elsevier, vol. 64(C).
    2. Adnan Haider Bukhari & Safdar Ullah Khan, 2008. "A Small Open Economy DSGE Model for Pakistan," The Pakistan Development Review, Pakistan Institute of Development Economics, vol. 47(4), pages 963-1008.
    3. Bennet T. McCallum, 1984. "A Linearized Version of Lucas's Neutrality Model," Canadian Journal of Economics, Canadian Economics Association, vol. 17(1), pages 138-145, February.
    4. Luboš Komárek & Filip Rozsypal, 2009. "Vymezení a vyhodnocení agresivity centrálních bank [Definition and Evaluation of the Central Bank agresivity]," Politická ekonomie, Prague University of Economics and Business, vol. 2009(3), pages 383-404.
    5. Thomas M. Humphrey, 1999. "Mercantilists and classicals: insights from doctrinal history," Economic Quarterly, Federal Reserve Bank of Richmond, issue Spr, pages 55-82.
    6. repec:zbw:bofrdp:2007_032 is not listed on IDEAS
    7. repec:hal:wpspec:info:hdl:2441/2961 is not listed on IDEAS
    8. Mishkin, Frederic S, 1982. "Does Anticipated Monetary Policy Matter? An Econometric Investigation," Journal of Political Economy, University of Chicago Press, vol. 90(1), pages 22-51, February.
    9. Ben S. Bernanke & Vincent R. Reinhart & Brian P. Sack, 2004. "Monetary Policy Alternatives at the Zero Bound: An Empirical Assessment," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 35(2), pages 1-100.
    10. Carlos A. Rodríguez, 2018. "Fuentes de las fluctuaciones macroeconómicas en Puerto Rico\Sources of macroeconomic fluctuations in Puerto Rico," Estudios Económicos, El Colegio de México, Centro de Estudios Económicos, vol. 33(2), pages 219-252.
    11. McCallum, Bennett T., 2001. "Indeterminacy, bubbles, and the fiscal theory of price level determination," Journal of Monetary Economics, Elsevier, vol. 47(1), pages 19-30, February.
    12. Goodhart, C.A.E. & Sunirand, P. & Tsomocos, D.P., 2011. "The optimal monetary instrument for prudential purposes," Journal of Financial Stability, Elsevier, vol. 7(2), pages 70-77, June.
    13. Marcus Hagedorn, 2017. "An Equilibrium Theory of Determinate Nominal Exchange Rates, Current Accounts and Asset Flows," 2017 Meeting Papers 1310, Society for Economic Dynamics.
    14. Michael D. Bauer & Eric T. Swanson, 2023. "An Alternative Explanation for the "Fed Information Effect"," American Economic Review, American Economic Association, vol. 113(3), pages 664-700, March.
    15. Giuseppe Pernagallo & Benedetto Torrisi, 2020. "A theory of information overload applied to perfectly efficient financial markets," Review of Behavioral Finance, Emerald Group Publishing Limited, vol. 14(2), pages 223-236, October.
    16. Thomas J. Sargent, 1982. "The Ends of Four Big Inflations," NBER Chapters, in: Inflation: Causes and Effects, pages 41-98, National Bureau of Economic Research, Inc.
    17. d'Albis, Hippolyte & Augeraud-Véron, Emmanuelle & Hupkes, Hermen Jan, 2014. "Bounded interest rate feedback rules in continuous-time," Journal of Economic Dynamics and Control, Elsevier, vol. 39(C), pages 227-236.
    18. Jean-Pascal Bénassy & Michel Guillard, 2005. "The Taylor principle and global determinacy in a non Ricardian world," PSE Working Papers halshs-00590558, HAL.
    19. John B. Taylor, 2007. "Thirty‐Five Years of Model Building for Monetary Policy Evaluation: Breakthroughs, Dark Ages, and a Renaissance," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(s1), pages 193-201, February.
    20. James Bullard, 2016. "Permazero," Cato Journal, Cato Journal, Cato Institute, vol. 36(2), pages 415-429, Spring/Su.
      • James B. Bullard, 2016. "Permazero," Review, Federal Reserve Bank of St. Louis, vol. 98(2).
      • James B. Bullard, 2015. "Permazero," Speech 256, Federal Reserve Bank of St. Louis.
    21. Buiter, Willem H. & Miller, Marcus, 1980. "Monetary Policy And International Competitiveness," Economic Research Papers 269135, University of Warwick - Department of Economics.
    22. Jérôme Creel & Henri Sterdyniak, 1999. "La politique monétaire sans monnaie," Revue de l'OFCE, Programme National Persée, vol. 70(1), pages 111-153.

    More about this item

    JEL classification:

    • E1 - Macroeconomics and Monetary Economics - - General Aggregative Models
    • E50 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - General
    • 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:tpr:restat:v:105:y:2023:i:4:p:931-947. 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 MIT Press (email available below). General contact details of provider: https://direct.mit.edu/journals .

    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.