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On Linear Quadratic Approximations

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  • Debortoli, Davide
  • Nunes, Ricardo

Abstract

We prove the generality of the methodology proposed in Benigno and Woodford (2006). We show that, even in the presence of a distorted steady state, it is always possible and relatively simple to obtain a purely quadratic approximation to the welfare measure. We also show that, in order to do so, the timeless perspective assumption is crucial.

Suggested Citation

  • Debortoli, Davide & Nunes, Ricardo, 2006. "On Linear Quadratic Approximations," MPRA Paper 544, University Library of Munich, Germany, revised Jul 2006.
    • Handle: RePEc:pra:mprapa:544
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    File URL: https://mpra.ub.uni-muenchen.de/544/1/MPRA_paper_544.pdf
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    References listed on IDEAS

    as
    1. 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.
    2. Albert Marcet & Ramon Marimon, 2019. "Recursive Contracts," Econometrica, Econometric Society, vol. 87(5), pages 1589-1631, September.
    3. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Tatiana Damjanovic & Vladislav Damjanovic & Charles Nolan, 2015. "Ordering Policy Rules with an Unconditional Welfare Measure," International Journal of Central Banking, International Journal of Central Banking, vol. 11(1), pages 103-149, January.
    2. Debortoli, Davide & Nunes, Ricardo, 2010. "Fiscal policy under loose commitment," Journal of Economic Theory, Elsevier, vol. 145(3), pages 1005-1032, May.
    3. Debortoli, Davide & Maih, Junior & Nunes, Ricardo, 2014. "Loose Commitment In Medium-Scale Macroeconomic Models: Theory And Applications," Macroeconomic Dynamics, Cambridge University Press, vol. 18(1), pages 175-198, January.
    4. Alexander Ludwig & Michael Reiter, 2010. "Sharing Demographic Risk--Who Is Afraid of the Baby Bust?," American Economic Journal: Economic Policy, American Economic Association, vol. 2(4), pages 83-118, November.
    5. Davide Debortoli & Ricardo Nunes, 2007. "Loose commitment," International Finance Discussion Papers 916, Board of Governors of the Federal Reserve System (U.S.).
    6. Oleksiy Kryvtsov & Malik Shukayev & Alexander Ueberfeldt, 2008. "Adopting Price-Level Targeting under Imperfect Credibility," Staff Working Papers 08-3, Bank of Canada.
    7. Oleksiy Kryvtsov & Malik Shukayev & Alexander Ueberfeldt, 2008. "Adopting Price-Level Targeting under Imperfect Credibility: An Update," Staff Working Papers 08-37, Bank of Canada.
    8. Ambler, Steve & Pelgrin, Florian, 2010. "Time-consistent control in nonlinear models," Journal of Economic Dynamics and Control, Elsevier, vol. 34(10), pages 2215-2228, October.
    9. Fujiwara, Ippei & Kam, Timothy & Sunakawa, Takeki, 2019. "Sustainable international monetary policy cooperation," Journal of Economic Dynamics and Control, Elsevier, vol. 106(C), pages 1-1.
    10. Bodenstein, Martin & Guerrieri, Luca & LaBriola, Joe, 2019. "Macroeconomic policy games," Journal of Monetary Economics, Elsevier, vol. 101(C), pages 64-81.
    11. Alexander Ludwig & Michael Reiter, 2008. "Sharing Demographic Risk – Who is Afraid of the Baby Bust?," MEA discussion paper series 08166, Munich Center for the Economics of Aging (MEA) at the Max Planck Institute for Social Law and Social Policy.
    12. Nunes, Ricardo & Park, Donghyun & Rondina, Luca, 2021. "Imperfect credibility, sticky wages, and welfare," Journal of Macroeconomics, Elsevier, vol. 70(C).
    13. Sebastian Sienknecht, 2010. "On the Informational Loss Inherent in Approximation Procedures: Welfare Implications and Impulse Responses," Jena Economics Research Papers 2010-005, Friedrich-Schiller-University Jena.

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    More about this item

    Keywords

    Linear-Quadratic Approximation; Distorted Steady State; Timeless Perspective;
    All these keywords.

    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • E0 - Macroeconomics and Monetary Economics - - General

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