A Note on the Accuracy of Markov-Chain Approximations to Highly Persistent AR(1)-Processes
AbstractThis 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 InfoPaper provided by Stockholm School of Economics in its series Working Paper Series in Economics and Finance with number 656.
Length: 9 pages
Date of creation: 12 Mar 2007
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numerical methods; income processes; autoregressive process;
Other versions of this item:
- 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.
- C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
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- Aiyagari, S Rao, 1994.
"Uninsured Idiosyncratic Risk and Aggregate Saving,"
The Quarterly Journal of Economics,
MIT Press, vol. 109(3), pages 659-84, August.
- 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.
- R. Glenn Hubbard & Jonathan Skinner & Stephen P. Zeldes, 1994. "Precautionary Saving and Social Insurance," NBER Working Papers 4884, National Bureau of Economic Research, Inc.
- Glenn R. Hubbard & Jonathan Skinner & Stephen P. Zeldes, . "Precautionary Saving and Social Insurance," Rodney L. White Center for Financial Research Working Papers 03-95, Wharton School Rodney L. White Center for Financial Research.
- Tauchen, George, 1986. "Finite state markov-chain approximations to univariate and vector autoregressions," Economics Letters, Elsevier, vol. 20(2), pages 177-181.
- 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.
- 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.
- Kjetil Storesletten & Chris Telmer & Amir Yaron, 1997. "Consumption and risk sharing over the life cycle," GSIA Working Papers 228, Carnegie Mellon University, Tepper School of Business.
- Storesletten, Kjetil & Telmer, Chris & Yaron, Amir, 2002. "Consumption and Risk Sharing Over the Life Cycle," Seminar Papers 702, Stockholm University, Institute for International Economic Studies.
- Fernando M. Martin, 2011.
"Government policy in monetary economies,"
2011-026, Federal Reserve Bank of St. Louis.
- Pashchenko, Svetlana & Porapakkarm, Ponpoje, 2010.
"Quantitative Analysis of Health Insurance Reform: Separating Community Rating from Income Redistribution,"
26158, University Library of Munich, Germany.
- Ponpoje Porapakkarm & Svetlana Pashchenko, 2011. "Quantitative Analysis of Health Insurance Reform: Separating Community Rating from Income Redistribution," 2011 Meeting Papers 1254, Society for Economic Dynamics.
- Jess Benhabib & Alberto Bisin & Shenghao Zhu, 2011.
"The Distribution of Wealth and Fiscal Policy in Economies With Finitely Lived Agents,"
Econometric Society, vol. 79(1), pages 123-157, 01.
- 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.
- Floden, Martin, 2005.
"Aggregate Savings When Individual Income Varies,"
Working Paper Series in Economics and Finance
591, Stockholm School of Economics.
- Martin Gervais & Jonas Fisher, 2008.
"First Time Home Buyers and Residential Investment Volatility,"
2008 Meeting Papers
148, Society for Economic Dynamics.
- 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.
- 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.
- Damba Lkhagvasuren & Ragchaasuren Galindev, 2008.
"Discretization of Highly-Persistent Correlated AR(1) Shocks,"
08012, Concordia University, Department of Economics, revised Nov 2008.
- Galindev, Ragchaasuren & Lkhagvasuren, Damba, 2010. "Discretization of highly persistent correlated AR(1) shocks," Journal of Economic Dynamics and Control, Elsevier, vol. 34(7), pages 1260-1276, July.
- Lkhagvasuren, Damba & Galindev, Ragchaasuren, 2008. "Discretization of highly persistent correlated AR(1) shocks," MPRA Paper 22523, University Library of Munich, Germany.
- Gust, Christopher & López-Salido, J David, 2009. "Monetary Policy, Velocity, and the Equity Premium," CEPR Discussion Papers 7388, C.E.P.R. Discussion Papers.
- 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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