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Sign- and Volatility -Switching ARCH Models: Theory and Applications to International Stock Markets

Listed author(s):
  • Fornari, F.
  • Mele, A.

This paper develops two conditionally heteroscedastic models which allow an asymmetric reaction of the conditional volatility to the arrival of news. Such a reaction is induced by both the sign of past shocks and the size of past unexpected volatility. The proposed models are shown to converge in distribution to absolutely continuous Ito diffusion processes, as happens for other heteroscedastic formulations. One of the schemes developed in the paper--the Volatility-switching ARCH--differs from the existing asymmetric models insofar as it is able to capture a particular aspect of the behaviour of the volatilities, i.e., the reversion of their asymmetric reaction to news. Empirical evidence from stock market returns in six countries shows that such a model outperforms traditional asymmetric ARCH equations.

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Paper provided by Banca Italia - Servizio di Studi in its series Papers with number 251.

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Length: 41 pages
Date of creation: 1995
Handle: RePEc:fth:banita:251
Contact details of provider: Postal:
Banca d'Italia-Servizio Studi-Divisione Biblioteca e Pubblicazioni - Via N azionale, 91 -00184 Rome, Italy.

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