Rolling-sampled parameters of ARCH and levy-stable models

Stavros Degiannakis, A. Livada, E. Panas

    Research output: Contribution to journalArticlepeer-review

    Abstract

    In this article an asymmetric autoregressive conditional heteroskedasticity (ARCH) model is applied to some well-known financial indices (DAX30,FTSE20, FTSE100 and SP500), using a rolling sample of constant size, in order to investigate whether the values of the estimated parameters of the model change over time. Although, there are changes in the estimated parameters reflecting that structural properties and trading behaviour alter over time, the ARCH model adequately forecasts the one-day-ahead volatility. A simulation study has been carried out to investigate whether the time-variant attitude holds in the case of a generated ARCH data process revealing that either in that case the rolling-sampled parameters are time varying. The rolling analysis is also applied to estimate the parameters of a Levy-stable distribution. The empirical findings support that the stable parameters are also time variant.
    Original languageEnglish
    Pages (from-to)3051-3067
    Number of pages17
    JournalApplied Economics
    Volume40
    Issue number23
    DOIs
    Publication statusPublished - Dec 2008

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