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Estimating Macroeconomic Models of Financial Crises: An Endogenous Regime Switching Approach

Author

Listed:
  • Christopher Otrok

    (University of Missouri)

  • Andrew Foerster

    (Federal Reserve Bank of Kansas City)

  • Alessandro Rebucci

    (The Johns Hopkins Carey Business School)

  • Gianluca Benigno

Abstract

This paper develops an endogenous regime switching approach to modeling financial crises. In the model there are two regimes, one a crisis regime, the second a regime for normal economic times. The switch between regimes is based on a probability determined by economic variables in the economy. Agents in the economy know how economic fundamentals affect the probability of moving in or out of the crisis state. That is, it is a rational expectations solution of the model. The solution then ensures that decisions made in the normal state fully incorporate how those decision affect the probability of moving into the crisis state as well as how the economy will operate in a crisis. The model developed captures all of the salient features one would want in an empirical model of financial crises. First, it captures the non-linear nature of a crisis. Second, the regime switching model is solved using perturbation methods and a second order solution. This allows the solution to capture the impact of risk on decision rules due both in an out of the crisis. Third, since the solution method is perturbation based it can handle a number of state variables and many shocks. That is, we are less constrained than current non-linear methods in terms of the size of the model. Fourth, the speed of the solution method means that non-linear filters can be used to calculate the likelihood function of the model for a full Bayesian estimation of the relevant shocks and frictions that are fundamental to models of financial crises. Fifth, the fully rational expectations nature of the solution allows one to ask key counterfactual policy questions. We adopt this approach to study sudden stop episodes in Mexico.

Suggested Citation

  • Christopher Otrok & Andrew Foerster & Alessandro Rebucci & Gianluca Benigno, 2017. "Estimating Macroeconomic Models of Financial Crises: An Endogenous Regime Switching Approach," 2017 Meeting Papers 572, Society for Economic Dynamics.
  • Handle: RePEc:red:sed017:572
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    Cited by:

    1. Julien Albertini & Stéphane Moyen, 2020. "A General and Efficient Method for Solving Regime-Switching DSGE Models," Working Papers halshs-03067554, HAL.
    2. Alessandro Rebucci & Chang Ma, 2019. "Capital Controls: A Survey of the New Literature," NBER Working Papers 26558, National Bureau of Economic Research, Inc.
    3. Nadav Ben Zeev, 2019. "Asymmetric Business Cycles In Emerging Market Economies," Working Papers 1909, Ben-Gurion University of the Negev, Department of Economics.
    4. 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.
    5. Grégory LEVIEUGE & Jose David GARCIA REVELO, 2020. "When could macroprudential and monetary policies be in conflict?," LEO Working Papers / DR LEO 2749, Orleans Economics Laboratory / Laboratoire d'Economie d'Orleans (LEO), University of Orleans.
    6. Zakipour-Saber, Shayan, 2019. "State-dependent Monetary Policy Regimes," Research Technical Papers 4/RT/19, Central Bank of Ireland.
    7. Harrison, Richard & Waldron, Matt, 2021. "Optimal policy with occasionally binding constraints: piecewise linear solution methods," Bank of England working papers 911, Bank of England.
    8. Nadav Ben Zeev, 2019. "Identification of Sign-Dependency of Impulse Responses," Working Papers 1907, Ben-Gurion University of the Negev, Department of Economics.
    9. Luisa Corrado & Stefano Grassi & Aldo Paolillo, 2021. "Modelling and Estimating Large Macroeconomic Shocks During the Pandemic," National Institute of Economic and Social Research (NIESR) Discussion Papers 530, National Institute of Economic and Social Research.
    10. Tambakis, D., 2020. "A Markov-Chain Measure of Systemic Banking Crisis Frequency," Cambridge Working Papers in Economics 2083, Faculty of Economics, University of Cambridge.
    11. Damián Pierri & Kevin Reffett, 2021. "Memory, Multiple Equilibria and Emerging Market Crises," Working Papers 154, Universidad de San Andres, Departamento de Economia, revised Aug 2021.
    12. 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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    JEL classification:

    • G01 - Financial Economics - - General - - - Financial Crises
    • E3 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles
    • F41 - International Economics - - Macroeconomic Aspects of International Trade and Finance - - - Open Economy Macroeconomics
    • C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General

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