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

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  • Floden, Martin

    ()
    (Dept. of Economics, Stockholm School of Economics)

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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Bibliographic Info

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
Date of revision:
Handle: RePEc:hhs:hastef:0656

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Keywords: numerical methods; income processes; autoregressive process;

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  1. Aiyagari, S Rao, 1994. "Uninsured Idiosyncratic Risk and Aggregate Saving," The Quarterly Journal of Economics, MIT Press, vol. 109(3), pages 659-84, August.
  2. Glenn R. Hubbard & Jonathan Skinner & Stephen P. Zeldes, . "Precautionary Saving and Social Insurance," Rodney L. White Center for Financial Research Working Papers 3-95, Wharton School Rodney L. White Center for Financial Research.
  3. Tauchen, George, 1986. "Finite state markov-chain approximations to univariate and vector autoregressions," Economics Letters, Elsevier, vol. 20(2), pages 177-181.
  4. Tauchen, George & Hussey, Robert, 1991. "Quadrature-Based Methods for Obtaining Approximate Solutions to Nonlinear Asset Pricing Models," Econometrica, Econometric Society, vol. 59(2), pages 371-96, March.
  5. Kjetil Storesletten & Chris I. Telmer & Amir Yaron, 2000. "Consumption and Risk Sharing Over the Life Cycle," NBER Working Papers 7995, National Bureau of Economic Research, Inc.
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Cited by:
  1. Fernando M. Martin, 2011. "Government policy in monetary economies," Working Papers 2011-026, Federal Reserve Bank of St. Louis.
  2. Pashchenko, Svetlana & Porapakkarm, Ponpoje, 2010. "Quantitative Analysis of Health Insurance Reform: Separating Community Rating from Income Redistribution," MPRA Paper 26158, University Library of Munich, Germany.
  3. Jess Benhabib & Alberto Bisin & Shenghao Zhu, 2011. "The Distribution of Wealth and Fiscal Policy in Economies With Finitely Lived Agents," Econometrica, Econometric Society, vol. 79(1), pages 123-157, 01.
  4. Floden, Martin, 2005. "Aggregate Savings When Individual Income Varies," Working Paper Series in Economics and Finance 591, Stockholm School of Economics.
  5. Martin Gervais & Jonas Fisher, 2008. "First Time Home Buyers and Residential Investment Volatility," 2008 Meeting Papers 148, Society for Economic Dynamics.
  6. 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.
  7. Damba Lkhagvasuren & Ragchaasuren Galindev, 2008. "Discretization of Highly-Persistent Correlated AR(1) Shocks," Working Papers 08012, Concordia University, Department of Economics, revised Nov 2008.
  8. Gust, Christopher & López-Salido, J David, 2009. "Monetary Policy, Velocity, and the Equity Premium," CEPR Discussion Papers 7388, C.E.P.R. Discussion Papers.
  9. Gospodinov, Nikolay & Lkhagvasuren, Damba, 2011. "A new method for approximating vector autoregressive processes by finite-state Markov chains," MPRA Paper 33827, University Library of Munich, Germany.

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