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A note on the accuracy of Markov-chain approximations to highly persistent AR(1) processes

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Flodén, Martin

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Abstract

This note examines the accuracy of methods that approximate AR(1) processes with discrete Markov chains. Tauchen and Hussey's [Tauchen, G., Hussey, R., 1991. Quadrature-based methods for obtaining approximate solutions to nonlinear asset pricing models. Econometrica 59, 371-396] method has problems under high autocorrelation. I suggest an alternative weighting function, and note that Tauchen's [Tauchen, G., 1986. Finite state Markov-chain approximations to univariate and vector autoregressions. Economics Letters 20, 177-181] method is relatively robust.

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Publisher Info
Article provided by Elsevier in its journal Economics Letters.

Volume (Year): 99 (2008)
Issue (Month): 3 (June)
Pages: 516-520
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Handle: RePEc:eee:ecolet:v:99:y:2008:i:3:p:516-520

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  1. 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)
    Other versions:
  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. 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)
  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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