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Optimal Monetary Policy Under Discretion with a Zero Bound on Nominal Interest Rates

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  • Adam, Klaus
  • Billi, Roberto M

Abstract

We determine optimal discretionary monetary policy in a New Keynesian model when nominal interest rates are bounded below by zero. Nominal interest rates should be lowered faster in response to adverse shocks than in the case without bound. Such ‘pre-emptive easing’ is optimal because expectations of a possibly binding bound in the future amplify the effects of adverse shocks. Calibrating the model to the US economy we find the easing effect to be quantitatively important. Moreover, the lower bound binds rather frequently and imposes significant welfare losses. Losses increase further when inflation is partly determined by lagged inflation in the Phillips curve. Targeting positive inflation rates reduces the frequency of a binding lower bound, but tends to reduce welfare compared to a target rate of zero. The welfare gains from policy commitment, however, appear significant and are much larger than in the case without lower bound.

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Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 4585.

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Date of creation: Aug 2004
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Handle: RePEc:cpr:ceprdp:4585

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Keywords: C63; liquidity trap; nonlinear policy; zero lower bound;

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  1. Adam, Klaus & Billi, Roberto M, 2003. "Optimal Monetary Policy Under Commitment with a Zero Bound on Nominal Interest Rates," CEPR Discussion Papers 4111, C.E.P.R. Discussion Papers.
  2. Robert J. Barro & David B. Gordon, 1983. "A Positive Theory of Monetary Policy in a Natural-Rate Model," NBER Working Papers 0807, National Bureau of Economic Research, Inc.
  3. Stefania Albanesi & V.V.Chari & Lawrence J. Christiano, 2002. "Expectation traps and monetary policy," Working Paper Series WP-02-04, Federal Reserve Bank of Chicago.
  4. Alan J. Auerbach & Maurice Obstfeld, 2003. "The Case for Open-Market Purchases in a Liquidity Trap," NBER Working Papers 9814, National Bureau of Economic Research, Inc.
  5. Lawrence J. Christiano & Jonas D.M. Fisher, 1997. "Algorithms for solving dynamic models with occasionally binding constraints," Working Paper 9711, Federal Reserve Bank of Cleveland.
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Cited by:
  1. Adam, Klaus & Billi, Roberto M, 2003. "Optimal Monetary Policy Under Commitment with a Zero Bound on Nominal Interest Rates," CEPR Discussion Papers 4111, C.E.P.R. Discussion Papers.
  2. 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.
  3. Michał Brzoza-Brzezina & Jacek Socha, 2007. "Downward nominal wage rigidity in Poland," National Bank of Poland Working Papers 41, National Bank of Poland, Economic Institute.
  4. Loisel, Olivier, 2008. "Central bank reputation in a forward-looking model," Journal of Economic Dynamics and Control, Elsevier, vol. 32(11), pages 3718-3742, November.
  5. Oda, Nobuyuki & Nagahata, Takashi, 2008. "On the function of the zero interest rate commitment: Monetary policy rules in the presence of the zero lower bound on interest rates," Journal of the Japanese and International Economies, Elsevier, vol. 22(1), pages 34-67, March.

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