SVARs with Occasionally Binding Constraints

Working Paper: NBER ID: w28571

Authors: S. Boraan Aruoba; Marko Mlikota; Frank Schorfheide; Sergio Villalvazo

Abstract: We develop a structural VAR in which an occasionally-binding constraint generates censoring of one of the dependent variables. Once the censoring mechanism is triggered, we allow some of the coefficients for the remaining variables to change. We show that a necessary condition for a unique reduced form is that regression functions for the non-censored variables are continuous at the censoring point and that parameters satisfy some mild restrictions. In our application the censored variable is a nominal interest rate constrained by an effective lower bound (ELB). According to our estimates based on U.S. data, once the ELB becomes binding, the coefficients in the inflation equation change significantly, which translates into a change of the inflation responses to (unconventional) monetary policy and demand shocks. Our results suggest that the presence of the ELB is indeed empirically relevant for the propagation of shocks. We also obtain a shadow interest rate that shows a significant accommodation in the early parts of the Great Recession, followed by a mild and steady accommodation until liftoff in 2016.

Keywords: Structural VAR; Effective Lower Bound; Monetary Policy; Inflation; Censored Dependent Variable

JEL Codes: C11; C22; C34; E32; E52


Causal Claims Network Graph

Edges that are evidenced by causal inference methods are in orange, and the rest are in light blue.


Causal Claims

CauseEffect
effective lower bound (ELB) (C51)inflation response to shocks (E31)
binding of the ELB (Y20)inflation response to negative monetary policy shock (E31)
binding of the ELB (Y20)inflation response to negative demand shock (E31)
non-binding of the ELB (Y20)inflation response to negative demand shock (E31)
effective lower bound (ELB) (C51)long-term effect on inflation responses (E31)
effective lower bound (ELB) (C51)output gap responses to demand and supply shocks (E39)

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