Arbeitspapier

A nonlinear alternative to the unit root hypothesis

This paper considers testing the unit root hypothesis against a smooth transition autoregressive model as the alternative. The model specification makes it possible to discriminate between nonstationary random walk and stationary nonlinear processes. Some new limit results are presented, extending earlier work, and two F type tests are proposed. Small sample simulations show some size distortions, why a bootstrap method for estimating p-values to the tests are considered. Power simulations show some gain in power, compared to the common Augmented Dickey-Fuller tests. Finally, the two proposed F type tests are applied on a number of real exchange rates. For several of the exchange rates considered the linear unit root is rejected in favor of the stationary nonlinear model, supporting the purchasing power parity hypothesis.

Sprache
Englisch

Erschienen in
Series: SSE/EFI Working Paper Series in Economics and Finance ; No. 547

Klassifikation
Wirtschaft
Single Equation Models; Single Variables: Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
Model Evaluation, Validation, and Selection
Foreign Exchange
Thema
Smooth transition autoregressive model
nonlinearity
unit root
Brownian motion
bootstrap
critical values
Monte Carlo simulations
real exchange rates

Ereignis
Geistige Schöpfung
(wer)
Eklund, Bruno
Ereignis
Veröffentlichung
(wer)
Stockholm School of Economics, The Economic Research Institute (EFI)
(wo)
Stockholm
(wann)
2003

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

  • Eklund, Bruno
  • Stockholm School of Economics, The Economic Research Institute (EFI)

Entstanden

  • 2003

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