TY - UNPD A1 - Böhl, Gregor T1 - Efficient solution and computation of models with occasionally binding constraints T2 - Working paper series / Institute for Monetary and Financial Stability ; 148 N2 - Occasionally binding constraints have become an important part of economic modelling, especially since western central banks see themselves (again) constraint by the so-called zero lower bound (ZLB) of the nominal interest rate. A binding ZLB constraint poses a major problem for a quantitative-structural analysis: Linear solution methods do no work in the presence of a non-linearity such as the ZLB and existing alternatives tend to be computationally demanding. The urge to study macroeconomic questions related to the Great Recession and the Covid-19 crisis in a quantitative-structural framework requires algorithms that are not only accurate, but that are also robust, fast, and computationally efficient. A particularly important application where efficient and fast methods for occasionally binding constraints (OBCs) are needed is the Bayesian estimation of macroeconomic models. This paper shows that a linear dynamic rational expectations system with OBCs, depending on the expected duration of the constraint, can be represented in closed form. Combined with a set of simple equilibrium conditions, this can be exploited to avoid matrix inversions and simulations at runtime for signifcant gains in computational speed. T3 - Working paper series / Institute for Monetary and Financial Stability - 148 KW - Occasionally Binding Constraints KW - Effective Lower Bound KW - Computational Methods Y1 - 2021 UR - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/56445 UR - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-564457 UR - https://www.imfs-frankfurt.de/fileadmin/user_upload/IMFS_WP/IMFS_WP_148.pdf IS - January 11, 2021 PB - Johann Wolfgang Goethe-Univ., Inst. for Monetary and Financial Stability CY - Frankfurt am Main ER -