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Periodic Autoregressive Conditional Heteroskedasticity

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  • Bollerslev, T.
  • Ghysels, E.

Abstract

Most high frequency asset returns exhibit seasonal volatility patterns. This paper proposes a new class of periodic ARCH, or P-ARCH, models explicitly designed to capture the repetitive variation in the second order moments. The importance of the informational loss associated with the implicit relation between P-GARCH structures and the corresponding time-invariant seasonal weak GARCH processes are quantified through the use of Monte Carlo simulation methods. Two empirical examples with daily bilateral deutschemark-British pound and intraday deutschemark-U.S. dollar spot exchange rates highlight the practical relevance of the new P-GARCH class of models.
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Suggested Citation

  • Bollerslev, T. & Ghysels, E., 1994. "Periodic Autoregressive Conditional Heteroskedasticity," Cahiers de recherche 9408, Universite de Montreal, Departement de sciences economiques.
    • Handle: RePEc:mtl:montde:9408
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    File URL: http://hdl.handle.net/1866/2107
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