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

72 Pages Posted: 6 Apr 2020 Last revised: 5 Feb 2026

See all articles by Gianluca Benigno

Gianluca Benigno

Federal Reserve Bank of New York; London School of Economics & Political Science (LSE) - Department of Economics

Andrew T. Foerster

Federal Reserve Banks - Federal Reserve Bank of San Francisco

Chris Otrok

Federal Reserve Banks - Federal Reserve Bank of Dallas

Alessandro Rebucci

Johns Hopkins University - Carey Business School; Centre for Economic Policy Research (CEPR); National Bureau of Economic Research (NBER); National University of Singapore (NUS) - Asian Bureau of Finance and Economic Research (ABFER)

Multiple version iconThere are 4 versions of this paper

Date Written: April 2020

Abstract

We estimate a workhorse DSGE model with an occasionally binding borrowing constraint. First, we propose a new specification of the occasionally binding constraint, where the transition between the unconstrained and constrained states is a stochastic function of the leverage level and the constraint multiplier. This specification maps into an endogenous regime-switching model. Second, we develop a general perturbation method for the solution of such a model. Third, we estimate the model with Bayesian methods to fit Mexico's business cycle and financial crisis history since 1981. The estimated model fits the data well, identifying three crisis episodes of varying duration and intensity: the Debt Crisis in the early-1980s, the Peso Crisis in the mid-1990s, and the Global Financial Crisis in the late-2000s. The crisis episodes generated by the estimated model display sluggish and long-lasting build-up and stagnation phases driven by plausible combinations of shocks. Different sets of shocks explain different variables over the business cycle and the three historical episodes of sudden stops identified.

Suggested Citation

Benigno, Gianluca and Benigno, Gianluca and Foerster, Andrew T. and Otrok, Christopher and Rebucci, Alessandro, Estimating Macroeconomic Models of Financial Crises: An Endogenous Regime-Switching Approach (April 2020). NBER Working Paper No. w26935, Available at SSRN: https://ssrn.com/abstract=3569400

Gianluca Benigno (Contact Author)

Federal Reserve Bank of New York ( email )

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London School of Economics & Political Science (LSE) - Department of Economics

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Andrew T. Foerster

Federal Reserve Banks - Federal Reserve Bank of San Francisco ( email )

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Christopher Otrok

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Alessandro Rebucci

Johns Hopkins University - Carey Business School ( email )

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