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Two Pitfalls of Linearization Methods

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  • JINILL KIM
  • SUNGHYUN HENRY KIM

Abstract

This paper illustrates two types of pitfalls when linearization methods are improperly applied. First, if we linearize the constraints before deriving the optimality conditions, the derived conditions are not correct up to first order. Second, even when we obtain the behavior of the economy that is correct to the first order, applying this behavior to welfare implications may lead to incorrect results. We also review different ways to avoid those pitfalls. Copyright 2007 The Ohio State University.

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File URL: http://www.blackwell-synergy.com/doi/abs/10.1111/j.1538-4616.2007.00055.x
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Bibliographic Info

Article provided by Blackwell Publishing in its journal Journal of Money, Credit and Banking.

Volume (Year): 39 (2007)
Issue (Month): 4 (06)
Pages: 995-1001

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Handle: RePEc:mcb:jmoncb:v:39:y:2007:i:4:p:995-1001

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Web page: http://www.blackwellpublishing.com/journal.asp?ref=0022-2879

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  1. Pierpaolo Benigno & Michael Woodford, 2005. "Inflation Stabilization And Welfare: The Case Of A Distorted Steady State," Journal of the European Economic Association, MIT Press, vol. 3(6), pages 1185-1236, December.
  2. Pierpaolo Benigno & Michael Woodford, 2004. "Optimal taxation in an RBC model: A linear-quadratic approach," Discussion Papers 0405-16, Columbia University, Department of Economics.
  3. Kim, Jinill & Kim, Sunghyun Henry, 2003. "Spurious welfare reversals in international business cycle models," Journal of International Economics, Elsevier, vol. 60(2), pages 471-500, August.
  4. Pierpaolo Benigno & Michael Woodford, 2006. "Linear-quadratic approximation of optimal policy problems," Discussion Papers 0607-02, Columbia University, Department of Economics.
  5. Jinill Kim & Dale W. Henderson, 2002. "Inflation targeting and nominal income growth targeting: when and why are they suboptimal?," International Finance Discussion Papers 719, Board of Governors of the Federal Reserve System (U.S.).
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Cited by:
  1. Ippei Fujiwara & Yuki Teranishi, 2013. "Financial Stability in Open Economies," CAMA Working Papers 2013-71, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
  2. Levine, Paul & Pearlman, Joseph G. & Pierse, Richard, 2007. "Linear-quadratic approximation, external habit and targeting rules," Working Paper Series 0759, European Central Bank.
  3. Garth Heutel, 2012. "How Should Environmental Policy Respond to Business Cycles? Optimal Policy under Persistent Productivity Shocks," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 15(2), pages 244-264, April.
  4. Levine, Paul & McAdam, Peter & Pearlman, Joseph, 2008. "Quantifying and sustaining welfare gains from monetary commitment," Journal of Monetary Economics, Elsevier, vol. 55(7), pages 1253-1276, October.
  5. Benigno, Pierpaolo & Woodford, Michael, 2006. "Linear-Quadratic Approximation of Optimal Policy Problems," CEPR Discussion Papers 5964, C.E.P.R. Discussion Papers.
  6. Duval, Romain & Vogel, Lukas, 2007. "How do nominal and real rigidities interact? A tale of the second best," MPRA Paper 7282, University Library of Munich, Germany.
  7. Tatiana Damjanovic & Vladislav Damjanovic & Charles Nolan, 2011. "Ordering policy rules with an unconditionalwelfare measure," Discussion Paper Series, Department of Economics 201102, Department of Economics, University of St. Andrews.

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