We define a new consistent estimator of the integrated volatility of volatility based only on a pre-estimation of the Fourier coeffcients of the volatility process. We investigate the finite sample properties of the estimator in the presence of noise contamination by computing the bias of the estimator due to noise and showing that it vanishes as the number of observations increases, under suitable assumptions. In both simulated and empirical studies, the performance of the Fourier estimator with high frequency data is investigated and it is shown that the proposed estimator of volatility of volatility is easily implementable, computationally stable and even robust to market microstructure noise.
High frequency volatility of volatility estimation free from spot volatility estimates / Imma, Curato; Maria Elvira, Mancino; Sanfelici, Simona. - In: QUANTITATIVE FINANCE. - ISSN 1469-7688. - 15:8(2015), pp. 1331-1345. [10.1080/14697688.2015.1032542]
High frequency volatility of volatility estimation free from spot volatility estimates
SANFELICI, Simona
2015-01-01
Abstract
We define a new consistent estimator of the integrated volatility of volatility based only on a pre-estimation of the Fourier coeffcients of the volatility process. We investigate the finite sample properties of the estimator in the presence of noise contamination by computing the bias of the estimator due to noise and showing that it vanishes as the number of observations increases, under suitable assumptions. In both simulated and empirical studies, the performance of the Fourier estimator with high frequency data is investigated and it is shown that the proposed estimator of volatility of volatility is easily implementable, computationally stable and even robust to market microstructure noise.File | Dimensione | Formato | |
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