IDEAS home Printed from https://ideas.repec.org/p/zbw/bonedp/252003.html
   My bibliography  Save this paper

Gains from second-order approximations

Author

Listed:
  • Paustian, Matthias

Abstract

The benefit from using second-order approximations tostochastic dynamic rational expec- tations models is explained. By example of the neoclassical growth model, this note as- sesses the accuracy of the obtained approximation. The implications for optimal policy are discussed.

Suggested Citation

  • Paustian, Matthias, 2003. "Gains from second-order approximations," Bonn Econ Discussion Papers 25/2003, University of Bonn, Bonn Graduate School of Economics (BGSE).
  • Handle: RePEc:zbw:bonedp:252003
    as

    Download full text from publisher

    File URL: https://www.econstor.eu/bitstream/10419/22873/1/bgse25_2003.pdf
    Download Restriction: no
    ---><---

    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. Schmitt-Grohe, Stephanie & Uribe, Martin, 2004. "Solving dynamic general equilibrium models using a second-order approximation to the policy function," Journal of Economic Dynamics and Control, Elsevier, vol. 28(4), pages 755-775, January.
    3. Wouter J. Den Haan & Albert Marcet, 1994. "Accuracy in Simulations," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 61(1), pages 3-17.
    4. Christopher A. Sims & Jinill Kim & Sunghyun Kim, 2003. "Calculating and Using Second Order Accurate Solution of Discrete Time Dynamic Equilibrium Models," Computing in Economics and Finance 2003 162, Society for Computational Economics.
    5. Jinill Kim & Sunghyun Kim & Ernst Schaumburg & Christopher A. Sims, 2003. "Calculating and Using Second Order Accurate Solutions of Discrete Time," Levine's Bibliography 666156000000000284, UCLA Department of Economics.
    6. Manuel S. Santos, 2000. "Accuracy of Numerical Solutions using the Euler Equation Residuals," Econometrica, Econometric Society, vol. 68(6), pages 1377-1402, November.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Marattin, Luigi & Marzo, Massimiliano & Zagaglia, Paolo, 2013. "Distortionary tax instruments and implementable monetary policy," International Review of Economics & Finance, Elsevier, vol. 25(C), pages 219-243.
    2. L. Marattin & S. Salotti, 2009. "The Response of Private Consumption to Different Public Spending Categories: VAR Evidence from UK," Working Papers 670, Dipartimento Scienze Economiche, Universita' di Bologna.
    3. Marattin, Luigi & Marzo, Massimiliano & Zagaglia, Paolo, 2011. "A welfare perspective on the fiscal–monetary policy mix: The role of alternative fiscal instruments," Journal of Policy Modeling, Elsevier, vol. 33(6), pages 920-952.
    4. Marzo, Massimiliano & Strid, Ingvar & Zagaglia, Paolo, 2009. "Nonlinearity in monetary policy: A reconsideration of the opportunistic approach to disinflation," Structural Change and Economic Dynamics, Elsevier, vol. 20(4), pages 288-300, December.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Sungbae An & Frank Schorfheide, 2007. "Bayesian Analysis of DSGE Models," Econometric Reviews, Taylor & Francis Journals, vol. 26(2-4), pages 113-172.
    2. Fernandez-Villaverde, Jesus & Rubio-Ramirez, Juan F., 2006. "Solving DSGE models with perturbation methods and a change of variables," Journal of Economic Dynamics and Control, Elsevier, vol. 30(12), pages 2509-2531, December.
    3. Jesús Fernández-Villaverde & Juan F. Rubio-Ramirez, 2003. "Some results on the solution of the neoclassical growth model," FRB Atlanta Working Paper 2003-34, Federal Reserve Bank of Atlanta.
    4. Marattin, Luigi & Marzo, Massimiliano & Zagaglia, Paolo, 2013. "Distortionary tax instruments and implementable monetary policy," International Review of Economics & Finance, Elsevier, vol. 25(C), pages 219-243.
    5. Benigno, Pierpaolo & Woodford, Michael, 2012. "Linear-quadratic approximation of optimal policy problems," Journal of Economic Theory, Elsevier, vol. 147(1), pages 1-42.
    6. 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.
    7. Stephanie Schmitt-Grohé & Martín Uribe, 2004. "The Research Agenda: Stephanie Schmitt-Grohé and Martín Uribe on Policy Evaluation in Macroeconomics," EconomicDynamics Newsletter, Review of Economic Dynamics, vol. 6(1), November.
    8. M. Marzo, 2004. "Optimal Monetary Policy in a Simple Distorted Economy," Working Papers 511, Dipartimento Scienze Economiche, Universita' di Bologna.
    9. Lombardo, Giovanni & Sutherland, Alan, 2007. "Computing second-order-accurate solutions for rational expectation models using linear solution methods," Journal of Economic Dynamics and Control, Elsevier, vol. 31(2), pages 515-530, February.
    10. Marzo, Massimiliano & Strid, Ingvar & Zagaglia, Paolo, 2006. "Optimal Opportunistic Monetary Policy in a New-Keynesian Model," Research Papers in Economics 2006:8, Stockholm University, Department of Economics.
    11. Ester Faia & Tommaso Monacelli, 2005. "Optimal Monetary Policy Rules, Asset Prices and Credit Frictions," Working Papers 279, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    12. Teo, Wing Leong, 2009. "Should East Asia's currencies be pegged to the yen? The role of invoice currency," Journal of the Japanese and International Economies, Elsevier, vol. 23(3), pages 283-308, September.
    13. Wang, Jian, 2010. "Home bias, exchange rate disconnect, and optimal exchange rate policy," Journal of International Money and Finance, Elsevier, vol. 29(1), pages 55-78, February.
    14. Faia, Ester & Monacelli, Tommaso, 2007. "Optimal interest rate rules, asset prices, and credit frictions," Journal of Economic Dynamics and Control, Elsevier, vol. 31(10), pages 3228-3254, October.
    15. Fernández-Villaverde, J. & Rubio-Ramírez, J.F. & Schorfheide, F., 2016. "Solution and Estimation Methods for DSGE Models," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 527-724, Elsevier.
    16. Atolia, Manoj & Chatterjee, Santanu & Turnovsky, Stephen J., 2010. "How misleading is linearization? Evaluating the dynamics of the neoclassical growth model," Journal of Economic Dynamics and Control, Elsevier, vol. 34(9), pages 1550-1571, September.
    17. Gomme, Paul & Klein, Paul, 2011. "Second-order approximation of dynamic models without the use of tensors," Journal of Economic Dynamics and Control, Elsevier, vol. 35(4), pages 604-615, April.
    18. Kim, Jinill & Ruge-Murcia, Francisco J., 2009. "How much inflation is necessary to grease the wheels?," Journal of Monetary Economics, Elsevier, vol. 56(3), pages 365-377, April.
    19. Ester Faia & Tommaso Monacelli, 2003. "Ramsey monetary policy and international relative prices," Proceedings, Board of Governors of the Federal Reserve System (U.S.).
    20. L. Marattin & S. Salotti, 2009. "The Response of Private Consumption to Different Public Spending Categories: VAR Evidence from UK," Working Papers 670, Dipartimento Scienze Economiche, Universita' di Bologna.

    More about this item

    Keywords

    Second-order approximation; accuracy; optimal policy;
    All these keywords.

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • E0 - Macroeconomics and Monetary Economics - - General

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:zbw:bonedp:252003. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: ZBW - Leibniz Information Centre for Economics (email available below). General contact details of provider: https://edirc.repec.org/data/gsbonde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.