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Discretization of highly persistent correlated AR(1) shocks

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  • Lkhagvasuren, Damba
  • Galindev, Ragchaasuren

Abstract

The finite state Markov-Chain approximation method developed by Tauchen (1986) and Tauchen and Hussey (1991) is widely used in economics, finance and econometrics in solving for functional equations where state variables follow an autoregressive process. For highly persistent processes, the method requires a large number of discrete values for the state variables to produce close approximations which leads to an undesirable reduction in computational speed, especially in a multidimensional case. This paper proposes an alternative method of discretizing vector autoregressions. This method can be treated as an extension of Rouwenhorst's (1995) method which, according to our experiments, outperforms the existing methods in the scalar case for highly persistent processes. The new method works well as an approximation that is much more robust to the number of discrete values for a wide range of the parameter space.

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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 22523.

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Date of creation: 23 Nov 2008
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Handle: RePEc:pra:mprapa:22523

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Keywords: Finite State Markov-Chain Approximation; Discretization of Multivariate Autoregressive Processes; Transition Matrix; Numerical Methods; Value Function Iteration; the Rouwenhorst method; VAR;

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  1. Karen A. Kopecky & Richard M. H. Suen, 2009. "Finite State Markov-Chain Approximations to Highly Persistent Processes," Working Papers 200904, University of California at Riverside, Department of Economics, revised May 2009.
  2. Tauchen, George, 1986. "Finite state markov-chain approximations to univariate and vector autoregressions," Economics Letters, Elsevier, vol. 20(2), pages 177-181.
  3. Lu Zhang, 2005. "The Value Premium," Journal of Finance, American Finance Association, vol. 60(1), pages 67-103, 02.
  4. Edward S. Knotek II & Stephen Terry, 2008. "Markov-chain approximations of vector autoregressions: application of general multivariate-normal integration techniques," Research Working Paper RWP 08-02, Federal Reserve Bank of Kansas City.
  5. Mortensen, Dale T & Pissarides, Christopher A, 1994. "Job Creation and Job Destruction in the Theory of Unemployment," Review of Economic Studies, Wiley Blackwell, vol. 61(3), pages 397-415, July.
  6. 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.
  7. 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.
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Citations

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Cited by:
  1. Lkhagvasuren, Damba, 2014. "Education, mobility and the college wage premium," European Economic Review, Elsevier, vol. 67(C), pages 159-173.
  2. Gospodinov, Nikolay & Lkhagvasuren, Damba, 2013. "A moment-matching method for approximating vector autoregressive processes by finite-state Markov chains," Working Paper 2013-05, Federal Reserve Bank of Atlanta.
  3. Northwestern University & Damba Lkhagvasuren, 2007. "Big Locational Differences in Unemployment Despite High Labor Mobility," 2007 Meeting Papers 922, Society for Economic Dynamics.
  4. Viktor Tsyrennikov & Serhiy Stepanchuk & Katrin Rabitsch, 2013. "International Portfolios: A Comparison of Solution Methods," 2013 Meeting Papers 1146, Society for Economic Dynamics.
  5. 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.
  6. Fatih Guvenen, 2011. "Macroeconomics with hetereogeneity : a practical guide," Economic Quarterly, Federal Reserve Bank of Richmond, issue 3Q, pages 255-326.
  7. 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.
  8. Paul Gomme & Damba Lkhagvasuren, 2011. "The Cyclicality of Search Intensity in a Competitive Search Model," Working Papers 11003, Concordia University, Department of Economics.
  9. repec:fip:fedreq:y:2011:i:3q:p:255-326:n:vol.97no.3 is not listed on IDEAS
  10. Zhao, Yan, 2011. "Borrowing constraints and the trade balance-output comovement," MPRA Paper 36902, University Library of Munich, Germany.

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