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Discretization of highly persistent correlated AR(1) shocks

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  • Galindev, Ragchaasuren
  • Lkhagvasuren, Damba

Abstract

The finite state Markov-chain approximation methods developed by Tauchen (1986) and Tauchen and Hussey (1991) are widely used in economics, finance and econometrics to solve functional equations in which state variables follow autoregressive processes. For highly persistent processes, the methods require 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 multivariate case. This paper proposes an alternative method of discretizing multivariate autoregressive processes. This method can be treated as an extension of Rouwenhorst's (1995) method which, according to our finding, 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

Article provided by Elsevier in its journal Journal of Economic Dynamics and Control.

Volume (Year): 34 (2010)
Issue (Month): 7 (July)
Pages: 1260-1276

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Handle: RePEc:eee:dyncon:v:34:y:2010:i:7:p:1260-1276

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Keywords: Finite state Markov-chain approximation Discretization of multivariate autoregressive processes Transition matrix Numerical methods Value function iteration;

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  1. Dale T. Mortensen & Christopher A. Pissarides, 1993. "Job Creation and Job Destruction in the Theory of Unemployment," CEP Discussion Papers dp0110, Centre for Economic Performance, LSE.
  2. Tauchen, George, 1986. "Finite state markov-chain approximations to univariate and vector autoregressions," Economics Letters, Elsevier, vol. 20(2), pages 177-181.
  3. Kopecky, Karen A. & Suen, Richard M. H., 2009. "Finite State Markov-Chain Approximations to Highly Persistent Processes," MPRA Paper 17201, University Library of Munich, Germany.
  4. Floden, Martin, 2007. "A Note on the Accuracy of Markov-Chain Approximations to Highly Persistent AR(1)-Processes," Working Paper Series in Economics and Finance 656, Stockholm School of Economics.
  5. Terry, Stephen J. & Knotek II, Edward S., 2011. "Markov-chain approximations of vector autoregressions: Application of general multivariate-normal integration techniques," Economics Letters, Elsevier, vol. 110(1), pages 4-6, January.
  6. 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.
  7. Lu Zhang, 2005. "The Value Premium," Journal of Finance, American Finance Association, vol. 60(1), pages 67-103, 02.
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Citations

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Cited by:
  1. Zhao, Yan, 2013. "Borrowing constraints and the trade balance–output comovement," Economic Modelling, Elsevier, vol. 32(C), pages 34-41.
  2. 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, 08.
  3. repec:fip:fedreq:y:2011:i:3q:p:255-326:n:vol.97no.3 is not listed on IDEAS
  4. Lkhagvasuren, Damba, 2014. "Education, mobility and the college wage premium," European Economic Review, Elsevier, vol. 67(C), pages 159-173.
  5. Fatih Guvenen, 2011. "Macroeconomics With Heterogeneity: A Practical Guide," NBER Working Papers 17622, National Bureau of Economic Research, Inc.
  6. 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.
  7. Northwestern University & Damba Lkhagvasuren, 2007. "Big Locational Differences in Unemployment Despite High Labor Mobility," 2007 Meeting Papers 922, Society for Economic Dynamics.
  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. 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.
  10. Viktor Tsyrennikov & Serhiy Stepanchuk & Katrin Rabitsch, 2013. "International Portfolios: A Comparison of Solution Methods," 2013 Meeting Papers 1146, Society for Economic Dynamics.

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