A note on the accuracy of Markov-chain approximations to highly persistent AR(1) processes
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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- Storesletten, Kjetil & Telmer, Christopher I. & Yaron, Amir, 2004.
"Consumption and risk sharing over the life cycle,"
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- 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.
- 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.
- 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.
- 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.
- 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.
- R. Glenn Hubbard & Jonathan Skinner & Stephen P. Zeldes, 1994. "Precautionary Saving and Social Insurance," NBER Working Papers 4884, National Bureau of Economic Research, Inc.
- Tauchen, George, 1986. "Finite state markov-chain approximations to univariate and vector autoregressions," Economics Letters, Elsevier, vol. 20(2), pages 177-181.
- S. Rao Aiyagari, 1994. "Uninsured Idiosyncratic Risk and Aggregate Saving," The Quarterly Journal of Economics, Oxford University Press, vol. 109(3), pages 659-684.
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