دورية أكاديمية

High Persistence and Nonlinear Behavior in Financial Variables: A More Powerful Unit Root Testing in the ESTAR Framework

التفاصيل البيبلوغرافية
العنوان: High Persistence and Nonlinear Behavior in Financial Variables: A More Powerful Unit Root Testing in the ESTAR Framework
المؤلفون: Tolga Omay, Aysegul Corakci, Esra Hasdemir
المصدر: Mathematics; Volume 9; Issue 20; Pages: 2534
بيانات النشر: Multidisciplinary Digital Publishing Institute
سنة النشر: 2021
المجموعة: MDPI Open Access Publishing
مصطلحات موضوعية: ESTAR, unit root, fractional frequency fourier function, near unit root, high persistency, nonlinear financial variables
الوصف: In this study, we consider the hybrid nonlinear features of the Exponential Smooth Transition Autoregressive-Fractional Fourier Function (ESTAR-FFF) form unit root test. As is well known, when developing a unit root test for the ESTAR model, linearization is performed by the Taylor approximation, and thereby the nuisance parameter problem is eliminated. Although this linearization process leads to a certain amount of information loss in the unit root testing equation, it also causes the resulting test to be more accessible and consistent. The method that we propose here contributes to the literature in three important ways. First, it reduces the information loss that arises due to the Taylor expansion. Second, the research to date has tended to misinterpret the Fourier function used with the Kapetanios, Shin and Snell (2003) (KSS) unit root test and considers it to capture multiple smooth transition structural breaks. The simulation studies that we carry out in this study clearly show that the Fourier function only restores the Taylor residuals of the ESTAR type function rather than accounting forthe smooth structural break. Third, the new nonlinear unit root test developed in this paper has very strong power in the highly persistent near unit root environment that the financial data exhibit. The application of the Kapetanios Shin Snell- Fractional Fourier (KSS-FF) test to ex-post real interest rates data of 11 OECD countries for country-specific sample periods shows that the new test catches nonlinear stationarity in many more countries than the KSS test itself.
نوع الوثيقة: text
وصف الملف: application/pdf
اللغة: English
العلاقة: Financial Mathematics; https://dx.doi.org/10.3390/math9202534Test
DOI: 10.3390/math9202534
الإتاحة: https://doi.org/10.3390/math9202534Test
حقوق: https://creativecommons.org/licenses/by/4.0Test/
رقم الانضمام: edsbas.C1E629B6
قاعدة البيانات: BASE