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Solving Rational Expectations Models with Informational Subperiods: A Perturbation Approach

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  • Anna Kormilitsina

Abstract

This paper presents an algorithm to solve up to the second order of approximation rational expectations models with informational subperiods, and provides simple examples to demonstrate how the algorithm works. Copyright Springer Science+Business Media New York 2013

Suggested Citation

  • Anna Kormilitsina, 2013. "Solving Rational Expectations Models with Informational Subperiods: A Perturbation Approach," Computational Economics, Springer;Society for Computational Economics, vol. 41(4), pages 525-555, April.
    • Handle: RePEc:kap:compec:v:41:y:2013:i:4:p:525-555
    DOI: 10.1007/s10614-012-9321-3
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    References listed on IDEAS

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    1. King, Robert G & Watson, Mark W, 2002. "System Reduction and Solution Algorithms for Singular Linear Difference Systems under Rational Expectations," Computational Economics, Springer;Society for Computational Economics, vol. 20(1-2), pages 57-86, October.
    2. Lawrence J. Christiano & Martin S. Eichenbaum, 1992. "Liquidity effects, the monetary transmission mechanism, and monetary policy," Economic Perspectives, Federal Reserve Bank of Chicago, vol. 16(Nov), pages 2-14.
    3. Lawrence J. Christiano & Martin Eichenbaum & Charles L. Evans, 2005. "Nominal Rigidities and the Dynamic Effects of a Shock to Monetary Policy," Journal of Political Economy, University of Chicago Press, vol. 113(1), pages 1-45, February.
    4. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-1311, July.
    5. Anderson, Gary & Moore, George, 1985. "A linear algebraic procedure for solving linear perfect foresight models," Economics Letters, Elsevier, vol. 17(3), pages 247-252.
    6. Christiano, Lawrence J & Eichenbaum, Martin, 1992. "Liquidity Effects and the Monetary Transmission Mechanism," American Economic Review, American Economic Association, vol. 82(2), pages 346-353, May.
    7. Schmitt-Grohe, Stephanie & Uribe, Martin, 2004. "Solving dynamic general equilibrium models using a second-order approximation to the policy function," Journal of Economic Dynamics and Control, Elsevier, vol. 28(4), pages 755-775, January.
    8. Burnside, Craig & Eichenbaum, Martin, 1996. "Factor-Hoarding and the Propagation of Business-Cycle Shocks," American Economic Review, American Economic Association, vol. 86(5), pages 1154-1174, December.
    9. Mark Lowry & Joseph Glauber & Mario Miranda & Peter Helmberger, 1987. "Pricing and Storage of Field Crops: A Quarterly Model Applied to Soybeans," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 69(4), pages 740-749.
    10. Baxter, Brad & Graham, Liam & Wright, Stephen, 2011. "Invertible and non-invertible information sets in linear rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 35(3), pages 295-311, March.
    11. V. V. Chari & Patrick J. Kehoe & Ellen R. McGrattan, 2000. "Sticky Price Models of the Business Cycle: Can the Contract Multiplier Solve the Persistence Problem?," Econometrica, Econometric Society, vol. 68(5), pages 1151-1180, September.
    12. Christiano, Lawrence J, 2002. "Solving Dynamic Equilibrium Models by a Method of Undetermined Coefficients," Computational Economics, Springer;Society for Computational Economics, vol. 20(1-2), pages 21-55, October.
    13. Pearlman, Joseph & Currie, David & Levine, Paul, 1986. "Rational expectations models with partial information," Economic Modelling, Elsevier, vol. 3(2), pages 90-105, April.
    14. Mario J. Miranda & Joseph W. Glauber, 1993. "Intraseasonal Demand for Fall Potatoes under Rational Expectations," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 75(1), pages 104-112.
    15. Shibayama, Katsuyuki, 2011. "A Solution Method For Linear Rational Expectation Models Under Imperfect Information," Macroeconomic Dynamics, Cambridge University Press, vol. 15(4), pages 465-494, September.
    16. Klein, Paul, 2000. "Using the generalized Schur form to solve a multivariate linear rational expectations model," Journal of Economic Dynamics and Control, Elsevier, vol. 24(10), pages 1405-1423, September.
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    Citations

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    Cited by:

    1. Anna Kormilitsina, 2016. "Is Government Spending Predetermined? A Test of Identification for Fiscal Policy Shocks," Departmental Working Papers 1607, Southern Methodist University, Department of Economics.
    2. Anna Kormilitsina & Sarah Zubairy, 2018. "Propagation Mechanisms for Government Spending Shocks: A Bayesian Comparison," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 50(7), pages 1571-1616, October.
    3. Sorge Marco M., 2020. "Computing sunspot solutions to rational expectations models with timing restrictions," The B.E. Journal of Macroeconomics, De Gruyter, vol. 20(2), pages 1-10, June.
    4. Angelini, Giovanni & Sorge, Marco M., 2021. "Under the same (Chole)sky: DNK models, timing restrictions and recursive identification of monetary policy shocks," Journal of Economic Dynamics and Control, Elsevier, vol. 133(C).
    5. Frank Hespeler & Marco M. Sorge, 2019. "Solving Rational Expectations Models with Informational Subperiods: A Comment," Computational Economics, Springer;Society for Computational Economics, vol. 53(4), pages 1649-1654, April.
    6. Tomasz Makarewicz, 2017. "Contrarian Behavior, Information Networks and Heterogeneous Expectations in an Asset Pricing Model," Computational Economics, Springer;Society for Computational Economics, vol. 50(2), pages 231-279, August.

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