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The Accuracy of Perturbation Methods to Solve Small Open Economy Models

  • Angelo M. Fasolo

This paper presents the evaluation of the canonical RBC models for small-open economies described in Schmitt-Grohé and Uribe (2003) when the solution is obtained by perturbation methods up to a third-order approximation. The models are evaluated in terms of accuracy of solution, ergodic moments, and local responses in extreme regions of the state vector. Results show that the gains from non-linear solutions are significant in terms of accuracy and with respect to the outcome of simulations: when compared to the linear approximation of the equilibrium conditions, non-linear solution generates very different dynamics of the stationary-inducing devices and smaller responses of consumption and output if the economy is in a state of low capital. However, changes in the main allocations of the economy when using different solution methods appear only locally and under significant increases in the volatility of the economy.

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File URL: http://www.bcb.gov.br/pec/wps/ingl/wps262.pdf
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Paper provided by Central Bank of Brazil, Research Department in its series Working Papers Series with number 262.

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Date of creation: Nov 2011
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Handle: RePEc:bcb:wpaper:262
Contact details of provider: Web page: http://www.bcb.gov.br/?english

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  1. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, June.
  2. Koop, Gary & Pesaran, M. Hashem & Potter, Simon M., 1996. "Impulse response analysis in nonlinear multivariate models," Journal of Econometrics, Elsevier, vol. 74(1), pages 119-147, September.
  3. Caldara, Dario & Fernández-Villaverde, Jesús & Rubio-Ramírez, Juan Francisco & Yao, Wen, 2009. "Computing DSGE Models with Recursive Preferences," CEPR Discussion Papers 7312, C.E.P.R. Discussion Papers.
  4. Wouter J. den Haan & Albert Marcet, 1993. "Accuracy in simulations," Economics Working Papers 42, Department of Economics and Business, Universitat Pompeu Fabra.
  5. S. Boragan Aruoba & Jesus Fernandez-Villaverde & Juan Francisco Rubio-Ramirez, 2003. "Comparing solution methods for dynamic equilibrium economies," Working Paper 2003-27, Federal Reserve Bank of Atlanta.
  6. Adjemian, Stéphane & Bastani, Houtan & Karamé, Fréderic & Juillard, Michel & Maih, Junior & Mihoubi, Ferhat & Perendia, George & Pfeifer, Johannes & Ratto, Marco & Villemot, Sébastien, 2011. "Dynare: Reference Manual Version 4," Dynare Working Papers 1, CEPREMAP, revised Jul 2014.
  7. Mark Aguiar & Gita Gopinath, 2004. "Emerging market business cycles: the cycle is the trend," Working Papers 04-4, Federal Reserve Bank of Boston.
  8. Epstein, Larry G & Zin, Stanley E, 1989. "Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: A Theoretical Framework," Econometrica, Econometric Society, vol. 57(4), pages 937-69, July.
  9. Juan F. Rubio-Ramirez & Jesus Fernández-Villaverde, 2005. "Estimating dynamic equilibrium economies: linear versus nonlinear likelihood," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 20(7), pages 891-910.
  10. Jinill Kim & Sunghyun Kim & Ernst Schaumburg & Christopher A. Sims, 2003. "Calculating and using second order accurate solutions of discrete time dynamic equilibrium models," Finance and Economics Discussion Series 2003-61, Board of Governors of the Federal Reserve System (U.S.).
  11. Collard, Fabrice & Juillard, Michel, 1999. "Accuracy of stochastic perturbuation methods: the case of asset pricing models," CEPREMAP Working Papers (Couverture Orange) 9922, CEPREMAP.
  12. Schmitt-Grohé, Stephanie & Uribe, Martín, 2002. "Closing Small Open Economy Models," CEPR Discussion Papers 3096, C.E.P.R. Discussion Papers.
  13. Greenwood, Jeremy & Hercowitz, Zvi & Huffman, Gregory W, 1988. "Investment, Capacity Utilization, and the Real Business Cycle," American Economic Review, American Economic Association, vol. 78(3), pages 402-17, June.
  14. 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.
  15. Mendoza, Enrique G, 1991. "Real Business Cycles in a Small Open Economy," American Economic Review, American Economic Association, vol. 81(4), pages 797-818, September.
  16. Maral Shamloo & Aytek Malkhozov, 2010. "Asset Prices in Affine Real Business Cycle Models," IMF Working Papers 10/249, International Monetary Fund.
  17. Eric M. Aldrich & Howard Kung, 2010. "Computational Methods for Production-Based Asset Pricing Models with Recursive Utility," Working Papers 10-90, Duke University, Department of Economics.
  18. Aguiar, Mark & Gopinath, Gita, 2007. "Emerging Market Business Cycles: The Cycle is the Trend," Scholarly Articles 11988098, Harvard University Department of Economics.
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