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Markov-chain approximations of vector autoregressions: Application of general multivariate-normal integration techniques

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  • Terry, Stephen J.
  • Knotek II, Edward S.

Abstract

Discrete Markov chains are helpful for approximating vector autoregressive processes in computational work. We relax G. Tauchen (1986) [Finite state Markov-chain approximations to univariate and vector autoregressions. Economics Letters 20, 177-181] in practice using multivariate-normal integration techniques to allow for arbitrary positive-semidefinite covariance structures. Examples are provided for non-diagonal and singular non-diagonal error covariances.

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  • 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.
    • Handle: RePEc:eee:ecolet:v:110:y:2011:i:1:p:4-6
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    1. 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.
    2. Tauchen, George, 1986. "Finite state markov-chain approximations to univariate and vector autoregressions," Economics Letters, Elsevier, vol. 20(2), pages 177-181.
    3. Unknown, 1986. "Letters," Choices: The Magazine of Food, Farm, and Resource Issues, Agricultural and Applied Economics Association, vol. 1(4), pages 1-9.
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    Cited by:

    1. Leland E. Farmer & Alexis Akira Toda, 2017. "Discretizing nonlinear, non‐Gaussian Markov processes with exact conditional moments," Quantitative Economics, Econometric Society, vol. 8(2), pages 651-683, July.
    2. Di Nicolo, G. & Gamba, A. & Lucchetta, M., 2011. "Capital Regulation, Liquidity Requirements and Taxation in a Dynamic Model of Banking," Other publications TiSEM 58ac9f00-92d7-497b-a76f-e, Tilburg University, School of Economics and Management.
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    4. Carlos Hatchondo, Juan & Martinez, Leonardo & Sánchez, Juan M., 2015. "Mortgage defaults," Journal of Monetary Economics, Elsevier, vol. 76(C), pages 173-190.
      • Juan Carlos Hatchondo & Leonardo Martinez & Juan M. Sanchez, 2011. "Mortgage defaults," Working Paper 11-05, Federal Reserve Bank of Richmond.
      • Juan Carlos Hatchondo & Leonardo Martinez & Juan M. Sanchez, 2011. "Mortgage defaults," Working Papers 2011-019, Federal Reserve Bank of St. Louis.
      • Mr. Leonardo Martinez & Juan Carlos Hatchondo & Mr. Juan M. Sanchez, 2012. "Mortgage Defaults," IMF Working Papers 2012/026, International Monetary Fund.
      • Juan Carlos Hatchondo & Leonardo Martinez & Juan M. Sanchez, 2015. "Mortgage Defaults," CAEPR Working Papers 2015-011, Center for Applied Economics and Policy Research, Department of Economics, Indiana University Bloomington.
    5. Mitsuru Katagiri, 2018. "Equilibrium Yield Curve, the Phillips Curve, and Monetary Policy," IMF Working Papers 2018/242, International Monetary Fund.
    6. 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.
    7. 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.
    8. Gordon, Grey, 2021. "Efficient VAR discretization," Economics Letters, Elsevier, vol. 204(C).
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    10. 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.
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    13. Gonzalez-Aguado, Eugenia, 2022. "Interest Rate Shocks and the Composition of Sovereign Debt," TSE Working Papers 22-1379, Toulouse School of Economics (TSE).
    14. Samer Shousha, 2017. "International Reserves, Credit Constraints, and Systemic Sudden Stops," International Finance Discussion Papers 1205, Board of Governors of the Federal Reserve System (U.S.).
    15. Sergio J. Rey & Wei Kang & Levi Wolf, 2016. "The properties of tests for spatial effects in discrete Markov chain models of regional income distribution dynamics," Journal of Geographical Systems, Springer, vol. 18(4), pages 377-398, October.
    16. Ottonello, Pablo, 2021. "Optimal exchange-rate policy under collateral constraints and wage rigidity," Journal of International Economics, Elsevier, vol. 131(C).
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    18. Edward S. Knotek & Stephen J. Terry, 2008. "Alternative methods of solving state-dependent pricing models," Research Working Paper RWP 08-10, Federal Reserve Bank of Kansas City.

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