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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

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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  • 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.
  • Handle: RePEc:eee:ecolet:v:99:y:2008:i:3:p:516-520
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    1. Hubbard, R Glenn & Skinner, Jonathan & Zeldes, Stephen P, 1995. "Precautionary Saving and Social Insurance," Journal of Political Economy, University of Chicago Press, vol. 103(2), pages 360-399, April.
    2. Tauchen, George & Hussey, Robert, 1991. "Quadrature-Based Methods for Obtaining Approximate Solutions to Nonlinear Asset Pricing Models," Econometrica, Econometric Society, vol. 59(2), pages 371-396, March.
    3. Tauchen, George, 1986. "Finite state markov-chain approximations to univariate and vector autoregressions," Economics Letters, Elsevier, vol. 20(2), pages 177-181.
    4. Storesletten, Kjetil & Telmer, Christopher I. & Yaron, Amir, 2004. "Consumption and risk sharing over the life cycle," Journal of Monetary Economics, Elsevier, vol. 51(3), pages 609-633, April.
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    1. 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, January.
    2. Fernando M. Martin, 2013. "Government Policy In Monetary Economies," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 54(1), pages 185-217, February.
    3. Svetlana Pashchenko & Ponpoje Porapakkarm, 2013. "Quantitative Analysis of Health Insurance Reform: Separating Regulation from Redistribution," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 16(3), pages 383-404, July.
    4. Luca Fornaro, 2012. "International debt deleveraging," Economics Working Papers 1401, Department of Economics and Business, Universitat Pompeu Fabra, revised Sep 2016.
    5. Svetlana Pashchenko & Ponpoje Porapakkarm, 2016. "Cross-Subsidization in Employer-Based Health Insurance and the Effects of Tax Subsidy Reform," National Tax Journal, National Tax Association;National Tax Journal, vol. 69(3), pages 583-612, September.
    6. 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.
    7. 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.
    8. Gianluca Benigno & Huigang Chen & Christopher Otrok & Alessandro Rebucci & Eric R. Young, 2011. "Revisiting Overborrowing and its Policy Implications," Central Banking, Analysis, and Economic Policies Book Series,in: Luis Felipe Céspedes & Roberto Chang & Diego Saravia (ed.), Monetary Policy under Financial Turbulence, edition 1, volume 16, chapter 6, pages 145-184 Central Bank of Chile.
    9. 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.
    10. Pashchenko, Svetlana & Porapakkarm, Ponpoje, 2013. "Work Incentives of Medicaid Beneficiaries and The Role of Asset Testing," MPRA Paper 49730, University Library of Munich, Germany.
    11. 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.
    12. Gust, Christopher & López-Salido, J David, 2009. "Monetary Policy, Velocity, and the Equity Premium," CEPR Discussion Papers 7388, C.E.P.R. Discussion Papers.
    13. Karen Kopecky & Richard Suen, 2010. "Finite State Markov-chain Approximations to Highly Persistent Processes," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 13(3), pages 701-714, July.
    14. Ponpoje (Poe) Porapakkarm & Svetlana Pashchenko, 2013. "Labor Supply Incentives of Medicaid," 2013 Meeting Papers 1082, Society for Economic Dynamics.
    15. Jonen, Benjamin & Scheuring, Simon, 2014. "Time-varying international diversification and the forward premium," Journal of International Money and Finance, Elsevier, vol. 40(C), pages 128-148.
    16. Bommier, Antoine & Harenberg, Daniel & Le Grand, François, 2017. "Household Finance and the Value of Life," Annual Conference 2017 (Vienna): Alternative Structures for Money and Banking 168189, Verein für Socialpolitik / German Economic Association.
    17. Nikolay Gospodinov & Damba Lkhagvasuren, 2014. "A Moment‐Matching Method For Approximating Vector Autoregressive Processes By Finite‐State Markov Chains," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 29(5), pages 843-859, August.
    18. José Cao-Alvira, 2012. "Velocity Volatility Assessment of Monetary Shocks on Cash-in-Advance Economies," Computational Economics, Springer;Society for Computational Economics, vol. 40(3), pages 293-311, October.
    19. 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.
    20. Ole Wilms & Karl Schmedders & Walt Pohl, 2016. "Higher-Order Effects in Asset-Pricing Models with Long-Run Risks," 2016 Meeting Papers 306, Society for Economic Dynamics.
    21. Zhiyang Jia & Weizhen Zhu, 2012. "The effect of pension wealth on private savings. Results from an extended life cycle model," Discussion Papers 697, Statistics Norway, Research Department.
    22. 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.

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    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General

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