Fast Monte Carlo Bermudan Greeks

Fast pricing and calculating hedging parameters are still a challenge in the framework of the Libor market model (LMM), which has become the fundamental pricing model in the fixed-income environment. Traditionally, for fixed-income securities, Greeks are calculated by the so-called bump and revalue method: each initial forward rate is perturbed by a basis-point shift and then the security is valued again. Besides the simplicity, there is no further advantage. The LMM is usually implemented with