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Parameterized Expectations Algorithm and the Moving Bounds

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Author Info
Maliar, Lilia
Maliar, Serguei

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Abstract

The Parameterized Expectations Algorithm (PEA) is a powerful tool for solving nonlinear stochastic dynamic models. However, it has an important shortcoming: it is not a contraction mapping technique and thus does not guarantee a solution will be found. We suggest a simple modification that enhances the convergence property of the algorithm. The idea is to rule out the possibility of (ex)implosive behavior by artificially restricting the simulated series within certain bounds. As the solution is refined along the iterations, the bounds are gradually removed. The modified PEA can systematically converge to the stationary solution starting from the nonstochastic steady state.

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Publisher Info
Article provided by American Statistical Association in its journal Journal of Business and Economic Statistics.

Volume (Year): 21 (2003)
Issue (Month): 1 (January)
Pages: 88-92
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Handle: RePEc:bes:jnlbes:v:21:y:2003:i:1:p:88-92

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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.:
  1. Miranda, Mario J & Helmberger, Peter G, 1988. "The Effects of Commodity Price Stabilization Programs," American Economic Review, American Economic Association, vol. 78(1), pages 46-58, March. [Downloadable!] (restricted)
  2. den Haan, Wouter J & Marcet, Albert, 1990. "Solving the Stochastic Growth Model by Parameterizing Expectations," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(1), pages 31-34, January.
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  3. Wright, Brian D & Williams, Jeffrey C, 1982. "The Economic Role of Commodity Storage," Economic Journal, Royal Economic Society, vol. 92(367), pages 596-614, September. [Downloadable!] (restricted)
  4. Lawrence J. Christiano & Jonas D.M. Fisher, 1994. "Algorithms for solving dynamic models with occasionally binding constraints," Working Paper Series, Macroeconomic Issues 94-6, Federal Reserve Bank of Chicago.
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  5. Wouter J. den Haan & Albert Marcet, 1993. "Accuracy in Simulations," Economics Working Papers 42, Department of Economics and Business, Universitat Pompeu Fabra. [Downloadable!]
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(explanations, 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.)

  1. Lilia Maliar & Serguei Maliar, 2004. "Solving Nonlinear Dynamic Stochastic Models: An Algorithm Computing Value Functions By Simulations," Working Papers. Serie AD 2004-37, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie). [Downloadable!]
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  2. Lilia Maliar & Serguei Maliar, 2006. "Capital-Skill Complementarity And Steady-State Growth," Working Papers. Serie AD 2006-15, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie). [Downloadable!]
  3. Lilia Maliar & Serguei Maliar, 2005. "Parameterized Expectations Algorithm: How to Solve for Labor Easily," Computational Economics, Springer, vol. 25(3), pages 269-274, June. [Downloadable!] (restricted)
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  4. Ángel Gavilán & Juan A. Rojas, 2009. "Solving Portfolio Problems with the Smolyak-Parameterized Expectations Algorithm," Banco de España Working Papers 0838, Banco de España. [Downloadable!]
  5. Lilia Maliar & Serguei Maliar, 2003. "Preference Shocks From Aggregation: Time Series Data Evidence," Working Papers. Serie AD 2003-35, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie). [Downloadable!]
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  6. Kenneth Judd & Lilia Maliar & Serguei Maliar, 2009. "Numerically Stable Stochastic Simulation Approaches for Solving Dynamic Economic Models," NBER Working Papers 15296, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  7. Lilia Maliar & Serguei Maliar & Juan Mora, 2005. "Income and Wealth Distributions Along the Business Cycle: Implications from the Neoclassical Growth Model," The B.E. Journal of Macroeconomics, Berkeley Electronic Press, vol. 0(1). [Downloadable!]
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  8. Paul Pichler, 2005. "Evaluating Approximate Equilibria of Dynamic Economic Models," Vienna Economics Papers 0510, University of Vienna, Department of Economics. [Downloadable!]
  9. Michael Creel, 2008. "Using Parallelization to Solve a Macroeconomic Model: A Parallel Parameterized Expectations Algorithm," Computational Economics, Springer, vol. 32(4), pages 343-352, November. [Downloadable!] (restricted)
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