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Working Paper
Impulse Response Functions for Self-Exciting Nonlinear Models
We calculate impulse response functions from regime-switching models where the driving variable can respond to the shock. Two methods used to estimate the impulse responses in these models are generalized impulse response functions and local projections. Local projections depend on the observed switches in the data, while generalized impulse response functions rely on correctly specifying regime process. Using Monte Carlos with different misspecifications, we determine under what conditions either method is preferred. We then extend model-average impulse responses to this nonlinear ...
Working Paper
Impulse Response Functions for Self-Exciting Nonlinear Models
We calculate impulse response functions from regime-switching models where the driving variable can respond to the shock. Our focus is on nonlinear vector autoregressions with a variety of specifications for the transition function used throughout the literature. Using Monte Carlo simulations with different misspecifications, we identify the conditions under which impulse response function estimates exhibit significant bias. Furthermore, we extend the concept of model-average impulse responses to this nonlinear context and demonstrate their robustness to model misspecification. Applying these ...
Working Paper
Threshold Endogeneity in Threshold VARs: An Application to Monetary State Dependence
A new method refines the threshold vector autoregressive model used to study the effects of monetary policy. We contribute a new method for dealing with the problem of endogeneity of the threshold variable in threshold vector auto-regression (TVAR) models. Drawing on copula theory enables us to capture the dependence structure between the threshold variable and the vector of TVAR innovations, independently of the marginal distribution of the threshold variable. A Monte Carlo demonstrates that our method works well, and that ignoring threshold endogeneity leads to biased estimates of the ...