Optimal rules for central bank interest rates subject to zero lower bound

Ajay Pratap Singh and Michael Nikolaou ()

No 2013-49, Economics Discussion Papers from Kiel Institute for the World Economy (IfW Kiel)

Abstract: The celebrated Taylor rule provides a simple formula that aims to capture how the central bank interest rate is adjusted as a linear function of inflation and output gap. However, the rule does not take explicitly into account the zero lower bound on the interest rate. Prior studies on interest rate selection subject to the zero lower bound have not produced rigorous derivations of explicit rules. In this work, Taylor-like rules for central bank interest rates bounded below by zero are derived rigorously using a multi-parametric model predictive control (mpMPC) framework. Rules with or without inertia are included in the derivation. The proposed approach is illustrated through simulations on US economy data. A number of issues for future study are proposed.

Keywords: Taylor rule; zero lower bound; liquidity trap; model predictive control; multiparametric programming (search for similar items in EconPapers)
JEL-codes: C61 E52 (search for similar items in EconPapers)
Date: 2013
New Economics Papers: this item is included in nep-cba, nep-mac and nep-mon
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:zbw:ifwedp:201349

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