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The Four Equation New Keynesian Model

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  • Eric R. Sims
  • Jing Cynthia Wu

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 key equations – a Phillips curve, an IS equation, and policy rules for the short term nominal interest rate and the central bank's long bond portfolio (QE). The four equation model collapses to the standard three equation New Keynesian model under a simple parameter restriction. Credit shocks and QE appear in both the IS and Phillips curves. Optimal monetary policy entails adjusting the short term interest rate to offset natural rate shocks, but using QE to offset credit market disruptions. The ability of the central bank to engage in QE significantly mitigates the costs of a binding zero lower bound.

Suggested Citation

  • Eric R. Sims & Jing Cynthia Wu, 2019. "The Four Equation New Keynesian Model," NBER Working Papers 26067, National Bureau of Economic Research, Inc.
    • Handle: RePEc:nbr:nberwo:26067
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    References listed on IDEAS

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    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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    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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