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The unbearable lightness of equilibria in a low interest rate environment

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  • Guido Ascari
  • Sophocles Mavroeidis

Abstract

Structural models with no solution are incoherent, and those with multiple solutions are incomplete. We show that models with occasionally binding constraints are not generically coherent. Coherency requires restrictions on the parameters or on the support of the distribution of the shocks. In presence of multiple shocks, the support restrictions cannot be independent from each other, so the assumption of orthogonality of structural shocks is incompatible with coherency. Models whose coherency is based on support restrictions are generically incomplete, admitting a very large number of minimum state variable solutions.

Suggested Citation

  • Guido Ascari & Sophocles Mavroeidis, 2021. "The unbearable lightness of equilibria in a low interest rate environment," Working Papers 734, DNB.
    • Handle: RePEc:dnb:dnbwpp:734
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    References listed on IDEAS

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    Cited by:

    1. Guido Ascari & Sophocles Mavroeidis & Nigel McClung, 2023. "Coherence without Rationality at the ZLB," DEM Working Papers Series 212, University of Pavia, Department of Economics and Management.
    2. Sophocles Mavroeidis, 2021. "Identification at the Zero Lower Bound," Econometrica, Econometric Society, vol. 89(6), pages 2855-2885, November.
    3. S. Bogan Aruoba & Pablo Cuba-Borda & Kenji Higa-Flores & Frank Schorfheide & Sergio Villalvazo, 2021. "Piecewise-Linear Approximations and Filtering for DSGE Models with Occasionally Binding Constraints," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 41, pages 96-120, July.
    4. Lin, Alessandro & Peruffo, Marcel, 2024. "Aggregate uncertainty, HANK, and the ZLB," Working Paper Series 2911, European Central Bank.
    5. Eo, Yunjong & McClung, Nigel, 2021. "Determinacy and E-stability with interest rate rules at the zero lower bound," Research Discussion Papers 14/2021, Bank of Finland.
    6. Ascari, Guido & Mavroeidis, Sophocles & McClung, Nigel, 2023. "Coherence without rationality at the zero lower bound," Journal of Economic Theory, Elsevier, vol. 214(C).
    7. Eo, Yunjong & McClung, Nigel, 2021. "Determinacy and E-stability with interest rate rules at the zero lower bound," Bank of Finland Research Discussion Papers 14/2021, Bank of Finland.
    8. repec:zbw:bofrdp:2021_014 is not listed on IDEAS
    9. S. Bogan Aruoba & Pablo Cuba-Borda & Kenji Higa-Flores & Frank Schorfheide & Sergio Villalvazo, 2021. "Piecewise-Linear Approximations and Filtering for DSGE Models with Occasionally Binding Constraints," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 41, pages 96-120, July.

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    More about this item

    Keywords

    incompleteness; incoherency; rational expectations; zero lower bound; DSGE;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • E4 - Macroeconomics and Monetary Economics - - Money and Interest Rates
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy

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