Arbeitspapier

Solving linear DSGE models with Newton methods

This paper presents and compares Newton-based methods from the applied mathematics literature for solving the matrix quadratic that underlies the recursive solution of linear DSGE models. The methods are compared using nearly 100 different models from the Macroeconomic Model Data Base (MMB) and different parameterizations of the monetary policy rule in the medium-scale New Keynesian model of Smets and Wouters (2007) iteratively. We find that Newton-based methods compare favorably in solving DSGE models, providing higher accuracy as measured by the forward error of the solution at a comparable computation burden. The methods, however, suffer from their inability to guarantee convergence to a particular, e.g. unique stable, solution, but their iterative procedures lend themselves to refining solutions either from different methods or parameterizations.

Sprache
Englisch

Erschienen in
Series: IMFS Working Paper Series ; No. 174

Klassifikation
Wirtschaft
Optimization Techniques; Programming Models; Dynamic Analysis
Computational Techniques; Simulation Modeling
General Aggregative Models: Forecasting and Simulation: Models and Applications
Thema
Numerical accuracy
DSGE
Solution methods

Ereignis
Geistige Schöpfung
(wer)
Meyer-Gohde, Alexander
Saecker, Johanna
Ereignis
Veröffentlichung
(wer)
Goethe University Frankfurt, Institute for Monetary and Financial Stability (IMFS)
(wo)
Frankfurt a. M.
(wann)
2022

Handle
Letzte Aktualisierung
10.03.2025, 11:42 MEZ

Datenpartner

Dieses Objekt wird bereitgestellt von:
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.

Objekttyp

  • Arbeitspapier

Beteiligte

  • Meyer-Gohde, Alexander
  • Saecker, Johanna
  • Goethe University Frankfurt, Institute for Monetary and Financial Stability (IMFS)

Entstanden

  • 2022

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