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A Note on the Accuracy of Markov-Chain Approximations to Highly Persistent AR(1)-Processes

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Author Info
Floden, Martin () (Dept. of Economics, Stockholm School of Economics)

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Abstract

This note examines the accuracy of methods that are commonly used to approximate AR(1)-processes with discrete Markov chains. The quadrature-based method suggested by Tauchen and Hussey (1991) generates excellent approximations with a small number of nodes when the autocorrelation is low or modest. This method however has problems when the autocorrelation is high, as it typically is found to be in recent empirical studies of income processes. I suggest an alternative weighting function for the Tauchen-Hussey method, and I also note that the older method suggested by Tauchen (1986) is relatively robust to high autocorrelation.

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Paper provided by Stockholm School of Economics in its series Working Paper Series in Economics and Finance with number 656.

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Length: 9 pages
Date of creation: 12 Mar 2007
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Handle: RePEc:hhs:hastef:0656

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Related research
Keywords: numerical methods; income processes; autoregressive process;

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C60 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - General

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  1. Jess Benhabib & Alberto Bisin, 2009. "The distribution of wealth and fiscal policy in economies with finitely lived agents," NBER Working Papers 14730, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  2. Damba Lkhagvasuren & Ragchaasuren Galindev, 2008. "Discretization of Highly-Persistent Correlated AR(1) Shocks," Working Papers 08012, Concordia University, Department of Economics, revised Nov 2008. [Downloadable!]
  3. Jonas D. M. Fisher & Martin Gervais, 2007. "First-time home buyers and residential investment volatility," Working Paper Series WP-07-15, Federal Reserve Bank of Chicago. [Downloadable!]
  4. Martin Floden, 2008. "Aggregate Savings When Individual Income Varies," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 11(1), pages 70-82, January. [Downloadable!] (restricted)
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  5. Kartik B. Athreya & Xuan S. Tam & Eric R. Young, 2009. "Are harsh penalties for default really better?," Working Paper 09-11, Federal Reserve Bank of Richmond. [Downloadable!]
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