IDEAS home Printed from https://ideas.repec.org/p/bru/bruedp/04-20.html
   My bibliography  Save this paper

Testing Of Nonstationarities In The Unit Circle,Long Memory Processes And Day Of The Week Effects In Financial Data

Author

Listed:
  • Guglielmo Maria Caporale
  • Luis A. Gil-Alana
  • Mike Nazarski

Abstract

This paper examines a version of the tests of Robinson (1994) that enables one to test models of the form (1-Lk)dxt = ut, where k is an integer value, d may be any real number, and ut is I(0). The most common cases are those with k = 1 (unit or fractional roots) and k = 4 and 12 (seasonal unit or fractional models). However, we extend the analysis to cover situations such as (1-L5)d xt = ut, which might be relevant, for example, in the context of financial time series data. We apply these techniques to the daily Eurodollar rate and the Dow Jones index, and find that for the former series the most adequate specifications are either a pure random walk or a model of the form xt = xt-5 + et, implying in both cases that the returns are completely unpredictable. In the case of the Dow Jones index, a model of the form (1-L5)d xt = ut is selected, with d constrained between 0.50 and 1, implying nonstationarity and mean-reverting behaviour.

Suggested Citation

  • Guglielmo Maria Caporale & Luis A. Gil-Alana & Mike Nazarski, 2004. "Testing Of Nonstationarities In The Unit Circle,Long Memory Processes And Day Of The Week Effects In Financial Data," Economics and Finance Discussion Papers 04-20, Economics and Finance Section, School of Social Sciences, Brunel University.
  • Handle: RePEc:bru:bruedp:04-20
    as

    Download full text from publisher

    File URL: http://www.brunel.ac.uk/329/efwps/04-20.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    More about this item

    JEL classification:

    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
    • M41 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Accounting - - - Accounting

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bru:bruedp:04-20. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: John.Hunter (email available below). General contact details of provider: .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.