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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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References

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  1. Pierpaolo Benigno & Michael Woodford, 2005. "Optimal Taxation in an RBC Model: A Linear-Quadratic Approach," NBER Working Papers 11029, National Bureau of Economic Research, Inc.
  2. Pierpaolo Benigno & Michael Woodford, 2004. "Inflation stabilization and welfare: The case of a distorted steady state," Discussion Papers 0405-04, Columbia University, Department of Economics.
  3. Benigno, Pierpaolo & Woodford, Michael, 2012. "Linear-quadratic approximation of optimal policy problems," Journal of Economic Theory, Elsevier, vol. 147(1), pages 1-42.
  4. 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.).
  5. Jinill Kim & Sunghyun Henry Kim, 1999. "Spurious Welfare Reversals in International Business Cycle Models," Virginia Economics Online Papers 319, University of Virginia, Department of Economics.
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Cited by:
  1. Ippei Fujiwara, Yuki Teranishi, 2013. "Financial stability in open economies," AJRC Working Papers 1306, Australia-Japan Research Centre, Crawford School of Public Policy, The Australian National University.
  2. Viktors Ajevskis, 2013. "Non-Local Solutions to Dynamic Equilibrium Models: the Approximate Stable Manifolds Approach," Working Papers 2013/03, Latvijas Banka.
  3. Benigno, Pierpaolo & Woodford, Michael, 2006. "Linear-Quadratic Approximation of Optimal Policy Problems," CEPR Discussion Papers 5964, C.E.P.R. Discussion Papers.
  4. Tatiana Damjanovic & Vladislav Damjanovic & Charles Nolan, 2011. "Ordering policy rules with an unconditional welfare measure," Working Papers 2011_15, Business School - Economics, University of Glasgow.
  5. Yuki Teranishi & Ippei Fujiwara, 2013. "Financial stability in open economies," AJRC Working Papers 06, Australia-Japan Research Centre, Crawford School of Public Policy, The Australian National University.
  6. Levine, Paul & McAdam, Peter & Pearlman, Joseph G., 2007. "Quantifying and sustaining welfare gains from monetary commitment," Working Paper Series 0709, European Central Bank.
  7. Romain Duval & Lukas Vogel, 2012. "How Do Nominal and Real Rigidities Interact? A Tale of the Second Best," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 44(7), pages 1455-1474, October.
  8. Garth Heutel, 2011. "Online Appendix to "How Should Environmental Policy Respond to Business Cycles? Optimal Policy under Persistent Productivity Shocks"," Technical Appendices 10-62, Review of Economic Dynamics.
  9. Heutel, Garth, 2011. "How Should Environmental Policy Respond to Business Cycles? Optimal Policy under Persistent Productivity Shocks," Working Papers 11-8, University of North Carolina at Greensboro, Department of Economics.
  10. Levine, Paul & Pearlman, Joseph G. & Pierse, Richard, 2007. "Linear-quadratic approximation, external habit and targeting rules," Working Paper Series 0759, European Central Bank.

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