Arbeitspapier

Shadow-rate VARs

VARs are a popular tool for forecasting and structural analysis, but ill-suited to handle occasionally binding constraints, like the effective lower bound on nominal interest rates. We extend the VAR framework by modeling interest rates as censored observations of a latent shadow-rate process, and propose an efficient sampler for Bayesian estimation of such 'shadow-rate VARs.' We analyze specifications where actual and shadow rates serve as explanatory variables and find benefits of including both. In comparison to a standard VAR, shadow-rate VARs generate superior predictions for short- and long-term interest rates, and deliver some gains for macroeconomic variables in US data. Our structural analysis estimates economic responses to shocks in financial conditions, showing strong differences in the reaction of interest rates depending on whether the ELB binds or not. After an adverse shock, our shadow-rate VAR sees a stronger decline of economic activity at the ELB rather than when not.

ISBN
978-3-95729-945-1
Language
Englisch

Bibliographic citation
Series: Deutsche Bundesbank Discussion Paper ; No. 14/2023

Classification
Wirtschaft
Multiple or Simultaneous Equation Models: Truncated and Censored Models; Switching Regression Models
Forecasting Models; Simulation Methods
General Aggregative Models: Forecasting and Simulation: Models and Applications
Prices, Business Fluctuations, and Cycles: Forecasting and Simulation: Models and Applications
Interest Rates: Determination, Term Structure, and Effects
Money and Interest Rates: Forecasting and Simulation: Models and Applications
Subject
Macroeconomic forecasting
effective lower bound
term structure
censored observations

Event
Geistige Schöpfung
(who)
Carriero, Andrea
Clark, Todd E.
Marcellino, Massimiliano
Mertens, Elmar
Event
Veröffentlichung
(who)
Deutsche Bundesbank
(where)
Frankfurt a. M.
(when)
2023

Handle
Last update
10.03.2025, 11:42 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Carriero, Andrea
  • Clark, Todd E.
  • Marcellino, Massimiliano
  • Mertens, Elmar
  • Deutsche Bundesbank

Time of origin

  • 2023

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