In the context of a stochastic local volatility model, we present a numerical solution scheme that achieves full (discrete) consistency between calibration, finite difference solution and Monte-Carlo simulation. The method is based on an ADI finite difference discretisation of the model

We present an effcient algorithm for interpolation and extrapolation of a discrete set of European option prices into a an arbitrage consistent full double continuum in expiry and strike of option prices. The method is based on an application of the fully implicit finite difference method and...