We study the forecasting performance of the Fourier volatility estimator in the presence of microstructure noise. Analytical comparison and simulation studies indicate that the Fourier estimator significantly outperforms realized volatility type estimators in particular for high frequency data...

We analyze the effects of market microstructure noise on the Fourier estimator of multivariate volatilities. We prove that the estimator is consistent in the case of asynchronous data and robust in the presence of microstructure noise. This result is obtained through an analytical computation of...

We consider general stochastic volatility models driven by continuous Brownian semimartinagales, we show that asset price volatility as well as volatility of the volatility ca be reconstructed pathwise by exploiting Fourier analysis from the observation of the asset price. Specifying...

We empirically investigate the functional link between the variance swap rate and the spot variance. Using S&P500 data over the period 2006-2018, we find overwhelming empirical evidence supporting the affine link analytically found by Kallsen et al. (2011) in the context of exponentially affine...

We prove a Central Limit Theorem for two estimators of the leverage process based on the Fourier method of [Malliavin and Mancino, 2009], showing that they reach the optimal rate 1/4 and a smaller variance with respect to different estimators based on a pre-estimation of the instantaneous...