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Working Paper
Likelihood Evaluation of Models with Occasionally Binding Constraints
Applied researchers interested in estimating key parameters of DSGE models face an array of choices regarding numerical solution and estimation methods. We focus on the likelihood evaluation of models with occasionally binding constraints. We document how solution approximation errors and likelihood misspecification, related to the treatment of measurement errors, can interact and compound each other.
Report
Estimating Macroeconomic Models of Financial Crises: An Endogenous Regime-Switching Approach
We estimate a workhorse dynamic stochastic general equilibrium (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 ...
Working Paper
A Generalized Time Iteration Method for Solving Dynamic Optimization Problems with Occasionally Binding Constraints
We study a generalized version of Coleman (1990)’s time iteration method (GTI) for solving dynamic optimization problems. Our benchmark framework is an irreversible investment model with labor-leisure choice. The GTI algorithm is simple to implement and provides advantages in terms of speed relative to Howard (1960)’s improvement algorithm. A second application on a heterogeneous-agents incomplete-markets model further explores the performance of GTI.
Working Paper
Estimating Macroeconomic Models of Financial Crises: An Endogenous Regime-Switching Approach
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 ...
Working Paper
Approximately Right?: Global v. Local Methods for Open-Economy Models with Incomplete Markets
Global and local methods are widely used in international macroeconomics to analyze incomplete-markets models. We study solutions for an endowment economy, an RBC model and a Sudden Stops model with an occasionally binding credit constraint. First-order, second-order, risky steady state and DynareOBC solutions are compared v. fixed-point-iteration global solutions in the time and frequency domains. The solutions differ in key respects, including measures of precautionary savings, cyclical moments, impulse response functions, financial premia and macro responses to credit constraints, and ...
Working Paper
OccBin: A Toolkit for Solving Dynamic Models With Occasionally Binding Constraints Easily
We describe how to adapt a first-order perturbation approach and apply it in a piecewise fashion to handle occasionally binding constraints in dynamic models. Our examples include a real business cycle model with a constraint on the level of investment and a New Keynesian model subject to the zero lower bound on nominal interest rates. We compare the piecewise linear perturbation solution with a high-quality numerical solution that can be taken to be virtually exact. The piecewise linear perturbation method can adequately capture key properties of the models we consider. A key advantage of ...
Report
Credit spreads, financial crises, and macroprudential policy
Credit spreads display occasional spikes and are more strongly countercyclical in times of financial stress. Financial crises are extreme cases of this nonlinear behavior, featuring skyrocketing credit spreads, sharp losses in bank equity, and deep recessions. We develop a macroeconomic model with a banking sector in which banks? leverage constraints are occasionally binding and equity issuance is endogenous. The model captures the nonlinearities in the data and produces quantitatively realistic crises. Precautionary equity issuance makes crises infrequent but does not prevent them ...
Working Paper
Impulse-Based Computation of Policy Counterfactuals
We propose an efficient procedure to solve for policy counterfactuals in linear models with occasionally binding constraints. The procedure does not require knowledge of the structural or reduced-form equations of the model, its state variables, or its shock processes. Forecasts of the variables entering the policy problem, and impulse response functions of these variables to anticipated policy shocks under an arbitrary policy, constitute sufficient information to construct valid counterfactuals. We show how to compute solutions for instrument rules and optimal discretionary and commitment ...
Report
The Financial (In)Stability Real Interest Rate, R**
We build a macro-finance model with an occasionally binding financing constraint where real interest rates have opposite effects on current and future financial stability, with the contemporaneous impact driven by valuation effects (akin to those triggering the 2023 banking turmoil) and the future impact driven by reach-for-yield by intermediaries. We use this model to illustrate the concept of the financial stability interest rate, r**, which we propose as a quantitative summary statistic for financial vulnerabilities. We provide a measure of r** for the U.S. economy and discuss its ...
Working Paper
Banks, Capital Flows and Financial Crises
This paper proposes a macroeconomic model with financial intermediaries (banks), in which banks face occasionally binding leverage constraints and may endogenously affect the strength of their balance sheets by issuing new equity. The model can account for occasional financial crises as a result of the nonlinearity induced by the constraint. Banks' precautionary equity issuance makes financial crises infrequent events occurring along with "regular" business cycle fluctuations. We show that an episode of capital infl ows and rapid credit expansion, triggered by low country interest rates, ...