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The non-negative constraint on the nominal interest rate and the effects of monetary policy

  • Hasui, Kohei

This paper analyzes the effects of monetary policy shock when there is a non-negative constraint on the nominal interest rate. I employ two algorithms: the piecewise linear solution and Holden and Paetz's (2012) algolithm (the HP algorithm). I apply these methods to a dynamic stochastic general equilibrium (DSGE) model which has sticky prices, sticky wages, and adjustment costs of investment. The main findings are as follows. First, the impulse responses obtained with the HP algorithm do not differ much from those obtained with the piecewise linear solution. Second, the non-negative constraint influences the effects of monetary policy shocks under the Taylor rule under some parameters. In contrast, the constraint has little effects on the response to money growth shocks. Third, wage stickiness contributes to the effects of the non-negative constraint through the marginal cost of the product. The result of money growth shock suggests that it is important to analyze the effects of the zero lower bound (ZLB) in a model which generates a significant liquidity effect.

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File URL: http://mpra.ub.uni-muenchen.de/49522/1/MPRA_paper_49522.pdf
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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 49394.

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Date of creation: 30 Aug 2013
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Handle: RePEc:pra:mprapa:49394
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  1. Frank Smets & Raf Wouters, 2002. "An estimated dynamic stochastic general equilibrium model of the euro area," Working Paper Research 35, National Bank of Belgium.
  2. 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.
  3. Klaus Adam & Roberto M. Billi, 2005. "Discretionary monetary policy and the zero lower bound on nominal interest rates," Research Working Paper RWP 05-08, Federal Reserve Bank of Kansas City.
  4. Jesús Fernández-Villaverde & Grey Gordon & Pablo Guerrón-Quintana & Juan F. Rubio-Ramírez, 2012. "Nonlinear adventures at the zero lower bound," Working Papers 12-10, Federal Reserve Bank of Philadelphia.
  5. Taisuke Nakata, 2012. "Optimal Fiscal and Monetary Policy with Occasionally Binding Zero Bound Constraints," 2012 Meeting Papers 181, Society for Economic Dynamics.
  6. Jung, Taehun & Teranishi, Yuki & Watanabe, Tsutomu, 2005. "Optimal Monetary Policy at the Zero-Interest-Rate Bound," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 37(5), pages 813-35, October.
  7. Kato, Ryo & Nishiyama, Shin-Ichi, 2005. "Optimal monetary policy when interest rates are bounded at zero," Journal of Economic Dynamics and Control, Elsevier, vol. 29(1-2), pages 97-133, January.
  8. Christiano, Lawrence J. & Eichenbaum, Martin & Evans, Charles L., 1997. "Sticky price and limited participation models of money: A comparison," European Economic Review, Elsevier, vol. 41(6), pages 1201-1249, June.
  9. Christopher J. Erceg & Dale W. Henderson & Andrew T. Levin, 1999. "Optimal monetary policy with staggered wage and price contracts," International Finance Discussion Papers 640, Board of Governors of the Federal Reserve System (U.S.).
  10. Sims, Christopher A, 2002. "Solving Linear Rational Expectations Models," Computational Economics, Society for Computational Economics, vol. 20(1-2), pages 1-20, October.
  11. Tom Holden & Michael Paetz, 2012. "Efficient Simulation of DSGE Models with Inequality Constraints," Quantitative Macroeconomics Working Papers 21207b, Hamburg University, Department of Economics.
  12. Lawrence Christiano & Martin Eichenbaum & Sergio Rebelo, 2009. "When is the government spending multiplier large?," NBER Working Papers 15394, National Bureau of Economic Research, Inc.
  13. 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.
  14. Ippei Fujiwara & Nao Sudo & Yuki Teranishi, 2010. "The Zero Lower Bound and Monetary Policy in a Global Economy: A Simple Analytical Investigation," International Journal of Central Banking, International Journal of Central Banking, vol. 6(1), pages 103-134, March.
  15. Nakajima, Tomoyuki, 2008. "Liquidity trap and optimal monetary policy in open economies," Journal of the Japanese and International Economies, Elsevier, vol. 22(1), pages 1-33, March.
  16. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
  17. 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.
  18. Ida, Daisuke, 2013. "Optimal monetary policy rules in a two-country economy with a zero bound on nominal interest rates," The North American Journal of Economics and Finance, Elsevier, vol. 24(C), pages 223-242.
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