We consider the well known SABR model. We give formulae for implied vol, densities and Monte Carlo simulation. We also cover no-arbitrage densities for parameter sets where standard formulae break down.
We also cover the recent Doust method and the Kienitz method for density extrapolation.
Kienitz Wetterau FinModelling (2020). The SABR Model - Densities and MC (https://www.mathworks.com/matlabcentral/fileexchange/38322-the-sabr-model-densities-and-mc), MATLAB Central File Exchange. Retrieved .