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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
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    References listed on IDEAS

    as
    1. 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.
    2. 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.
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    Citations

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    Cited by:

    1. Karadi, Peter & Nakov, Anton, 2021. "Effectiveness and addictiveness of quantitative easing," Journal of Monetary Economics, Elsevier, vol. 117(C), pages 1096-1117.
    2. 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.
    3. 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.
    4. 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.
    5. Bletzinger, Tilman & von Thadden, Leopold, 2021. "Designing QE in a fiscally sound monetary union," European Economic Review, Elsevier, vol. 132(C).
    6. 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).
    7. 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.
    8. Boehl, Gregor, 2022. "Monetary policy and speculative asset markets," European Economic Review, Elsevier, vol. 148(C).
    9. Roulleau-Pasdeloup, Jordan, 2023. "Analyzing Linear DSGE models: the Method of Undetermined Markov States," Journal of Economic Dynamics and Control, Elsevier, vol. 151(C).
    10. 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.
    11. Böhl, Gregor & Lieberknecht, Philipp, 2021. "The hockey stick Phillips curve and the effective lower bound," Discussion Papers 55/2021, Deutsche Bundesbank.
    12. Eric R. Sims & Jing Cynthia Wu, 2020. "Wall Street vs. Main Street QE," NBER Working Papers 27295, National Bureau of Economic Research, Inc.
    13. 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.
    14. 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.
    15. 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.
    16. Cardamone, Dario & Sims, Eric & Wu, Jing Cynthia, 2023. "Wall Street QE vs. Main Street Lending," European Economic Review, Elsevier, vol. 156(C).
    17. Eric Schaling & Kgotso Morema, 2022. "Optimalinterestrategapsforflexibleinflationtargeting," Working Papers 11037, South African Reserve Bank.
    18. 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.
    19. Cantore, Cristiano & Meichtry, Pascal, 2023. "Unwinding quantitative easing: state dependency and household heterogeneity," Bank of England working papers 1030, Bank of England.
    20. Jordan Roulleau-Pasdeloup, 2022. "Analyzing Linear DSGE models: the Method of Undetermined Markov States," Papers 2209.05081, arXiv.org, revised Feb 2023.
    21. Philippe Goulet Coulombe, 2022. "A Neural Phillips Curve and a Deep Output Gap," Papers 2202.04146, arXiv.org.
    22. 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.

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    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

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