The long memory properties of the integrated and realized volatility are investigated under the assumption that the instantaneous volatility is driven by a fractional Brownian motion. The equality of their long memory degrees is proved in the ideal situation when prices are observed continuously. In this case, the spectral density of the integrated and realized volatility coincide.

Long Memory in Integrated and Realized Variance

ROSSI, EDUARDO
2013-01-01

Abstract

The long memory properties of the integrated and realized volatility are investigated under the assumption that the instantaneous volatility is driven by a fractional Brownian motion. The equality of their long memory degrees is proved in the ideal situation when prices are observed continuously. In this case, the spectral density of the integrated and realized volatility coincide.
2013
9783642355875
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/579116
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