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On Linear Quadratic Approximations


  • Debortoli, Davide
  • Nunes, Ricardo


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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    References listed on IDEAS

    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, 1994. "Recursive contracts," Economics Working Papers 337, Department of Economics and Business, Universitat Pompeu Fabra, revised Oct 1998.
    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.
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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. 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.
    4. Fujiwara, Ippei & Kam, Timothy & Sunakawa, Takeki, 2015. "Sustainable international monetary policy cooperation," Globalization and Monetary Policy Institute Working Paper 234, Federal Reserve Bank of Dallas.
    5. Davide Debortoli & Junior Maih & Ricardo Nunes, 2010. "Loose commitment in medium-scale macroeconomic models: Theory and an application," Working Paper 2010/25, Norges Bank.
    6. 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.
    7. Bodenstein, Martin & Guerrieri, Luca & LaBriola, Joe, 2014. "Macroeconomic Policy Games," Finance and Economics Discussion Series 2014-87, Board of Governors of the Federal Reserve System (U.S.).
    8. Davide Debortoli & Ricardo Nunes, 2007. "Loose commitment," International Finance Discussion Papers 916, Board of Governors of the Federal Reserve System (U.S.).
    9. Debortoli, Davide & Maih, Junior & Nunes, Ricardo, 2014. "Loose Commitment In Medium-Scale Macroeconomic Models: Theory And Applications," Macroeconomic Dynamics, Cambridge University Press, vol. 18(01), pages 175-198, January.
    10. Oleksiy Kryvtsov & Malik Shukayev & Alexander Ueberfeldt, 2008. "Adopting Price-Level Targeting under Imperfect Credibility," Staff Working Papers 08-3, Bank of Canada.
    11. Oleksiy Kryvtsov & Malik Shukayev & Alexander Ueberfeldt, 2008. "Adopting Price-Level Targeting under Imperfect Credibility: An Update," Staff Working Papers 08-37, Bank of Canada.
    12. 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.
    13. Sebastian Sienknecht, 2010. "On the Informational Loss Inherent in Approximation Procedures: Welfare Implications and Impulse Responses," Jena Economic Research Papers 2010-005, Friedrich-Schiller-University Jena.

    More about this item


    Linear-Quadratic Approximation; Distorted Steady State; Timeless Perspective;

    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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