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Discretization of Highly-Persistent Correlated AR(1) Shocks

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Author Info
Damba Lkhagvasuren () (Concordia University)
Ragchaasuren Galindev () (Queens University Belfast)

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Abstract

The finite state Markov-Chain approximation method developed by Tauchen (1986) and Tauchen and Hussey (1991) is widely used in economics, finance and econometrics in solving for functional equations where state variables follow an autoregressive process. For highly persistent processes, the method requires a large number of discrete values for the state variables to produce close approximations which leads to an undesirable reduction in computational speed, especially in multidimensional case. This paper proposes an alternative method of discretizing vector autoregressions. The method works well as an approximation and its numerical efficiency applies to a wide range of the parameter space.

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Publisher Info
Paper provided by Concordia University, Department of Economics in its series Working Papers with number 08012.

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Length: 35 pages
Date of creation: Sep 2008
Date of revision: Nov 2008
Handle: RePEc:crd:wpaper:08012

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Related research
Keywords: Finite State Markov-Chain Approximation; Transition Matrix; Numerical Methods; VAR;

Find related papers by JEL classification:
C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Statistical Simulation Methods
C63 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Computational Techniques

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References listed on IDEAS
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  1. Tauchen, George, 1986. "Finite state markov-chain approximations to univariate and vector autoregressions," Economics Letters, Elsevier, vol. 20(2), pages 177-181. [Downloadable!] (restricted)
  2. Flodén, Martin, 2008. "A note on the accuracy of Markov-chain approximations to highly persistent AR(1) processes," Economics Letters, Elsevier, vol. 99(3), pages 516-520, June. [Downloadable!] (restricted)
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  3. Mortensen, Dale T & Pissarides, Christopher A, 1994. "Job Creation and Job Destruction in the Theory of Unemployment," Review of Economic Studies, Blackwell Publishing, vol. 61(3), pages 397-415, July. [Downloadable!] (restricted)
    Other versions:
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This page was last updated on 2009-11-16.


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