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Consistent high-precision volatility from high-frequency data

Fulvio Corsi (), Gilles Zumbach, Ulrich Müller and Michel Dacorogna
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Gilles Zumbach: Olsen & Associates
Ulrich Müller: Olsen & Associates

Finance from University Library of Munich, Germany

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.

Keywords: volatility; high-frequency data; foreign exchange (search for similar items in EconPapers)
JEL-codes: G (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-ets and nep-fin
Date: 2004-07-06
Note: Type of Document - pdf; pages: 17
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