Calculating and Using Second Order Accurate Solutions of Discrete Time Dynamic Equilibrium Models

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Calculating and Using Second Order Accurate Solutions of Discrete Time Dynamic Equilibrium Models

Author Info

Henry Kim
Jinill Kim
Ernst Schaumburg
Christopher A. Sims

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Abstract

We describe an algorithm for calculating second order approximations to the solutions to nonlinear stochastic rational expectations models. The paper also explains methods for using such an approximate solution to generate forecasts, simulated time paths for the model, and evaluations of expected welfare differences across different versions of a model. The paper gives conditions for local validity of the approximation that allow for disturbance distributions with unbounded support and allow for non-stationarity of the solution process.

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Publisher Info
Paper provided by Department of Economics, Tufts University in its series Discussion Papers Series, Department of Economics, Tufts University with number 0505.

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Date of creation: 2005
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Handle: RePEc:tuf:tuftec:0505

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Paper
- 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.). [Downloadable!]
- 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. [Downloadable!]
- Christopher A. Sims & Jinill Kim & Sunghyun Kim, 2004. "Calculating and Using Second Order Accurate Solution of Discrete Time Dynamic Equilibrium Models," Econometric Society 2004 North American Winter Meetings 411, Econometric Society. [Downloadable!]

This paper has been announced in the following NEP Reports:

NEP-ALL-2005-02-20 (All new papers)
NEP-CMP-2005-02-20 (Computational Economics)
NEP-DGE-2005-02-20 (Dynamic General Equilibrium)
NEP-ECM-2005-02-20 (Econometrics)

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.:

Kollmann, Robert, 2002. "Monetary policy rules in the open economy: effects on welfare and business cycles," Journal of Monetary Economics, Elsevier, vol. 49(5), pages 989-1015, July. [Downloadable!] (restricted)
Other versions:
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Other versions:
- Sutherland, Alan, 2002. "A Simple Second-Order Solution Method For Dynamic General Equilibrium Models," CEPR Discussion Papers 3554, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
Clarida, Richard & Galí, Jordi & Gertler, Mark, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," CEPR Discussion Papers 2139, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
Other versions:
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Other versions:
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Other versions:
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Stephanie Schmitt-Grohe & Martin Uribe, 2002. "Solving Dynamic General Equilibrium Models Using a Second-Order Approximation to the Policy Function," NBER Technical Working Papers 0282, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
Other versions:
- Schmitt-Grohé, Stephanie & Uribe, Martín, 2001. "Solving Dynamic General Equilibrium Models Using a Second-Order Approximation to the Policy Function," CEPR Discussion Papers 2963, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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Julio Rotemberg & Michael Woodford, 1997. "An Optimization-Based Econometric Framework for the Evaluation of Monetary Policy," NBER Chapters, in: NBER Macroeconomics Annual 1997, Volume 12, pages 297-361 National Bureau of Economic Research, Inc. [Downloadable!]
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Other versions:
- Marc P. Giannoni & Michael Woodford, 2003. "Optimal Interest-Rate Rules: I. General Theory," NBER Working Papers 9419, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
Ivan Tchakarov & Paul Bergin, 2003. "Does Exchange Rate Risk Matter for Welfare?," Computing in Economics and Finance 2003 61, Society for Computational Economics. [Downloadable!]
Other versions:
- Paul R. Bergin & Ivan Tchakarov, 2003. "Does Exchange Rate Risk Matter for Welfare?," NBER Working Papers 9900, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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Other versions:
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