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A Note on Simple MSV Solution Methods for Rational Expectations Models of Monetary Policy

Author

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  • Richard Mash
Abstract
We analyse the derivation of optimal monetary policy under discretion and commitment when lagged expectations appear in the Phillips curve, making use of the comparatively simple MSV approach which does not require transformation of the model into state-space form.

Suggested Citation

  • Richard Mash, 2003. "A Note on Simple MSV Solution Methods for Rational Expectations Models of Monetary Policy," Economics Series Working Papers 173, University of Oxford, Department of Economics.
    • Handle: RePEc:oxf:wpaper:173
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    File URL: https://ora.ox.ac.uk/objects/uuid:c16b262e-a9de-435e-af0f-d98f3f5b164a
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    References listed on IDEAS

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    1. Bennett McCallum, 1999. "Role of the Minimal State Variable Criterion in Rational Expectations Models," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 6(4), pages 621-639, November.
    2. N. Gregory Mankiw & Ricardo Reis, 2002. "Sticky Information versus Sticky Prices: A Proposal to Replace the New Keynesian Phillips Curve," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(4), pages 1295-1328.
    3. Richard Mash, 2004. "Optimising Microfoundations for Inflation Persistence," Economics Series Working Papers 183, University of Oxford, Department of Economics.
    4. Lippi, Francesco & Gerali, Andrea, 2003. "Optimal Control and Filtering in Linear Forward-looking Economies: A Toolkit," CEPR Discussion Papers 3706, C.E.P.R. Discussion Papers.
    5. Bennett T. McCallum & Edward Nelson, 2004. "Timeless perspective vs. discretionary monetary policy in forward-looking models," Review, Federal Reserve Bank of St. Louis, vol. 86(Mar), pages 43-56.
    6. McCallum, Bennett T., 2003. "Multiple-solution indeterminacies in monetary policy analysis," Journal of Monetary Economics, Elsevier, vol. 50(5), pages 1153-1175, July.
    7. Richard Mash, 2003. "New Keynesian Microfoundations Revisited: A Calvo-Taylor-Rule-of-Thumb Model and Optimal Monetary Policy Delegation," Economics Series Working Papers 174, University of Oxford, Department of Economics.
    8. Dennis, Richard, 2007. "Optimal Policy In Rational Expectations Models: New Solution Algorithms," Macroeconomic Dynamics, Cambridge University Press, vol. 11(1), pages 31-55, February.
    9. McCallum, Bennett T., 1983. "On non-uniqueness in rational expectations models : An attempt at perspective," Journal of Monetary Economics, Elsevier, vol. 11(2), pages 139-168.
    10. Bennett T. McCallum, 2000. "Role of the Minimal State Variable Criterion," NBER Working Papers 7087, National Bureau of Economic Research, Inc.
    11. Henrik Jensen, 2002. "Targeting Nominal Income Growth or Inflation?," American Economic Review, American Economic Association, vol. 92(4), pages 928-956, September.
    12. Sims, Christopher A, 2002. "Solving Linear Rational Expectations Models," Computational Economics, Springer;Society for Computational Economics, vol. 20(1-2), pages 1-20, October.
    13. Zadrozny, Peter A., 1998. "An eigenvalue method of undetermined coefficients for solving linear rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 22(8-9), pages 1353-1373, August.
    14. 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.
    15. Soderlind, Paul, 1999. "Solution and estimation of RE macromodels with optimal policy," European Economic Review, Elsevier, vol. 43(4-6), pages 813-823, April.
    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.
    17. Binder,M. & Pesaran,H.M., 1995. "Multivariate Rational Expectations Models and Macroeconomic Modelling: A Review and Some New Results," Cambridge Working Papers in Economics 9415, Faculty of Economics, University of Cambridge.
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    Cited by:

    1. Richard Mash, 2004. "Optimising Microfoundations for Inflation Persistence," Economics Series Working Papers 183, University of Oxford, Department of Economics.
    2. Richard Mash, 2003. "New Keynesian Microfoundations Revisited: A Calvo-Taylor-Rule-of-Thumb Model and Optimal Monetary Policy Delegation," Economics Series Working Papers 174, University of Oxford, Department of Economics.

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    More about this item

    Keywords

    Monetary Policy; Rational Expectations; Solution Methods; Minimal State Variable; Undetermined Coefficients.;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
    • E58 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Central Banks and Their Policies

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