We obtain the link between the Laplace transform of the price process and that of the volatility process in the context of a Brownian semi-martingale model. Relying on this result, we build a new nonparametric estimator of the instantaneous volatility which efficiently reconstructs the...

We define a new consistent estimator of the integrated volatility of volatility based only on a pre-estimation of the Fourier coefficients 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...