Two pitfalls of linearization methods

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Two pitfalls of linearization methods

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Jinill Kim
Sunghyun Henry Kim

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Jinill 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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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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Article
- Jinill Kim & Sunghyun Henry Kim, 2007. "Two Pitfalls of Linearization Methods," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(4), pages 995-1001, 06. [Downloadable!] (restricted)

This paper has been announced in the following NEP Reports:

NEP-ALL-2008-02-16 (All new papers)
NEP-CBA-2008-02-16 (Central Banking)

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

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. [Downloadable!] (restricted)
Other versions:
- 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. [Downloadable!]
- 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. [Downloadable!]
Kim, Jinill & Henderson, Dale W., 2005. "Inflation targeting and nominal-income-growth targeting: When and why are they suboptimal?," Journal of Monetary Economics, Elsevier, vol. 52(8), pages 1463-1495, November. [Downloadable!] (restricted)
Other versions:
- 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.). [Downloadable!]
- 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.
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. [Downloadable!] (restricted)
Other versions:
- Michael Woodford & Pierpaolo Benigno, 2004. "Inflation Stabilization and Welfare: The Case of a Distorted Steady State," 2004 Meeting Papers 481, Society for Economic Dynamics.
- Pierpaolo Benigno & Michael Woodford, 2004. "Inflation Stabilization and Welfare: The Case of a Distorted Steady State," NBER Working Papers 10838, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
- 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. [Downloadable!]
Benigno, Pierpaolo & Woodford, Michael, 2006. "Optimal taxation in an RBC model: A linear-quadratic approach," Journal of Economic Dynamics and Control, Elsevier, vol. 30(9-10), pages 1445-1489. [Downloadable!] (restricted)
Other versions:
- Benigno, Pierpaolo & Woodford, Michael, 2004. "Optimal Taxation in an RBC Model: A Linear-Quadratic Approach," CEPR Discussion Papers 4764, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
- Pierpaolo Benigno & Michael Woodford, 2004. "Optimal taxation in an RBC model: A linear-quadratic approach," Discussion Papers 0405-16, Columbia University, Department of Economics. [Downloadable!]
- 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. [Downloadable!] (restricted)

Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

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. [Downloadable!]
Benigno, Pierpaolo & Woodford, Michael, 2006. "Linear-Quadratic Approximation of Optimal Policy Problems," CEPR Discussion Papers 5964, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
Other versions:
- Pierpaolo Benigno & Michael Woodford, 2006. "Linear-Quadratic Approximation of Optimal Policy Problems," NBER Working Papers 12672, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
- Pierpaolo Benigno & Michael Woodford, 2006. "Linear-quadratic approximation of optimal policy problems," Discussion Papers 0607-02, Columbia University, Department of Economics. [Downloadable!]

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