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Consistent high-precision volatility from high-frequency data

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Author Info

  • Fulvio Corsi

    (Olsen & Associates)

  • Gilles Zumbach

    (Olsen & Associates)

  • Ulrich Müller

    (Olsen & Associates)

  • Michel Dacorogna

    (Zurich Re)

Abstract

Estimates of daily volatility are investigated. Realized volatility can be computed from returns observed over time intervals of different sizes. For simple statistical reasons, volatility estimators based on high-frequency returns have been proposed, but such estimators are found to be strongly biased as compared to volatilities of daily returns. This bias originates from microstructure effects in the price formation. For foreign exchange, the relevant microstructure effect is the incoherent price formation, which leads to a strong negative first-order auto- correlation for tick-by-tick returns and to the volatility bias. On the basis of a simple theoretical model for foreign exchange data, the incoherent term can be filtered away from the tick-by-tick price series. With filtered prices, the daily volatility can be estimated using the information contained in high-frequency data, providing a high-precision measure of volatility at any time interval.

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File URL: http://128.118.178.162/eps/fin/papers/0407/0407005.pdf
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Bibliographic Info

Paper provided by EconWPA in its series Finance with number 0407005.

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Length: 17 pages
Date of creation: 06 Jul 2004
Date of revision:
Handle: RePEc:wpa:wuwpfi:0407005

Note: Type of Document - pdf; pages: 17
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Web page: http://128.118.178.162

Related research

Keywords: volatility; high-frequency data; foreign exchange;

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