The extended perturbation method: With applications to the New Keynesian model and the zero lower bound

Martin M. Andreasen*, Anders F. Kronborg

*Corresponding author for this work

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

1 Citation (Scopus)

Abstract

We introduce the extended perturbation method, which improves the accuracy of standard perturbation by reducing approximation errors under certainty equivalence. For the New Keynesian model with Calvo pricing, extended perturbation is more accurate than standard perturbation, which implies explosive dynamics because it omits the upper bound on inflation implied by this model. In contrast, extended perturbation enforces this bound and generates stable dynamics. We also show that extended perturbation can accurately solve a New Keynesian model that enforces the zero lower bound for the monetary policy rate by considering a smooth nonlinear modification of the standard Taylor rule.

Original languageEnglish
JournalQuantitative Economics
Volume13
Issue3
Pages (from-to)1171-1202
Number of pages32
ISSN1759-7323
DOIs
Publication statusPublished - Jul 2022

Keywords

  • C62
  • C68
  • E30
  • Stability of perturbation approximations
  • upper bound on inflation
  • zero lower bound on policy rate

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