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Parameterized Expectations Algorithm and the Moving Bounds

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  • Maliar, Lilia
  • Maliar, Serguei

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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Bibliographic 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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  1. Wouter J. den Haan & Albert Marcet, 1993. "Accuracy in simulations," Economics Working Papers 42, Department of Economics and Business, Universitat Pompeu Fabra.
  2. Lawrence J. Christiano & Jonas D. M. Fisher, 1994. "Algorithms for solving dynamic models with occasionally binding constraints," Staff Report 171, Federal Reserve Bank of Minneapolis.
  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.
  4. 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.
  5. 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.
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Cited by:
  1. Michael Creel, 2008. "Using Parallelization to Solve a Macroeconomic Model: A Parallel Parameterized Expectations Algorithm," Computational Economics, Society for Computational Economics, vol. 32(4), pages 343-352, November.
  2. 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).
  3. Lilia Maliar & Fernando Valli & Serguei Maliar, 2009. "Solving the incomplete markets model with aggregate uncertainty using the Krusell-Smith algorithm," Working Papers. Serie AD 2009-03, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  4. Serguei Maliar & Lilia Maliar & Kenneth Judd, 2010. "Numerically Stable Stochastic Simulation Approaches for Solving Dynamic Economic Models," 2010 Meeting Papers 280, Society for Economic Dynamics.
  5. Paul Pichler, 2005. "Evaluating Approximate Equilibria of Dynamic Economic Models," Vienna Economics Papers 0510, University of Vienna, Department of Economics.
  6. Ángel Gavilán & Juan A. Rojas, 2009. "Solving Portfolio Problems with the Smolyak-Parameterized Expectations Algorithm," Banco de Espa�a Working Papers 0838, Banco de Espa�a.
  7. Pérez, Javier J. & Sánchez, A. Jesús, 2009. "Alternatives to initialize the Parameterized Expectations Algorithm," Economics Letters, Elsevier, vol. 102(2), pages 116-118, February.
  8. Rhys Bidder & Kalin Nikolov & Tony Yates, . " Self-confirming Inflation Persistence," CDMA Conference Paper Series 0908, Centre for Dynamic Macroeconomic Analysis.
  9. Maliar, Lilia & Maliar, Serguei, 2005. "Solving nonlinear dynamic stochastic models: an algorithm computing value function by simulations," Economics Letters, Elsevier, vol. 87(1), pages 135-140, April.
  10. 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).
  11. Lilia Maliar & Serguei Maliar, 2004. "Parameterized Expectations Algorithm: How To Solve For Labor Easily," Working Papers. Serie AD 2004-40, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).

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