Non-parametric computation of Greeks using high frequency data

We propose a way to compute the hedging Delta using the Malliavin weight method. Our approach, which we name the lambda-method, generally outperforms the standard Monte Carlo finite difference method, especially for discontinuous payoffs. Furthermore, our approach is nonparametric, as we only assume a general local volatility model and we substitute the volatility and the other processes involved in the Greek formula with quantities that can be nonparametrically estimated from a given time series of observed prices.