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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 in using linearization methods. First, if constraints are linearized before deriving optimality conditions, the derived conditions are not correct up to first order. Second, even when the behavior of the economy is correct to the first order, applying this behavior to welfare implications may lead to incorrect results.

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Bibliographic Info

Paper provided by Board of Governors of the Federal Reserve System (U.S.) in its series Finance and Economics Discussion Series with number 2007-64.

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Date of creation: 2007
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Handle: RePEc:fip:fedgfe:2007-64

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Keywords: Linear models (Statistics);

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References

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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. Jinill Kim & Dale Henderson, 2002. "Inflation Targeting and Nominal Income Growth Targeting: When and Why Are They Suboptimal?," Computing in Economics and Finance 2002 59, Society for Computational Economics.
  4. Jinill Kim and Sunghyun Henry Kim, 2001. "Spurious Welfare Reversals in International Business Cycle Models," Computing in Economics and Finance 2001 3, Society for Computational Economics.
  5. Pierpaolo Benigno & Michael Woodford, 2006. "Linear-quadratic approximation of optimal policy problems," Discussion Papers 0607-02, Columbia University, Department of Economics.
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Cited by:
  1. Levine, Paul & Pearlman, Joseph G. & Pierse, Richard, 2007. "Linear-quadratic approximation, external habit and targeting rules," Working Paper Series 0759, European Central Bank.
  2. 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.
  3. Levine, Paul & McAdam, Peter & Pearlman, Joseph G., 2007. "Quantifying and sustaining welfare gains from monetary commitment," Working Paper Series 0709, European Central Bank.
  4. Pierpaolo Benigno & Michael Woodford, 2006. "Linear-quadratic approximation of optimal policy problems," Discussion Papers 0607-02, Columbia University, Department of Economics.
  5. 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.
  6. Ippei Fujiwara & Yuki Teranishi, 2009. "Financial Stability in Open Economies," IMES Discussion Paper Series 09-E-09, Institute for Monetary and Economic Studies, Bank of Japan.
  7. 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.
  8. Viktors Ajevskis, 2013. "Non-Local Solutions to Dynamic Equilibrium Models: the Approximate Stable Manifolds Approach," Working Papers 2013/03, Latvijas Banka.

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