Estimation of quarticity with high-frequency data
We propose a new methodology based on Fourier analysis to estimate the fourth power of the volatility function (spot quarticity) and, as a byproduct, the integrated function. We prove the consistency of the proposed estimator of the integrated quarticity. Further, we analyse its efficiency in the presence of microstructure noise, from both a theoretical and empirical viewpoint. Extensions to higher powers of volatility and to the multivariate case are also discussed.
Year of publication: |
2012
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Authors: | Mancino, Maria Elvira ; Sanfelici, Simona |
Published in: |
Quantitative Finance. - Taylor & Francis Journals, ISSN 1469-7688. - Vol. 12.2012, 4, p. 607-622
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Publisher: |
Taylor & Francis Journals |
Saved in:
Saved in favorites
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