Computational parsimony makes reduced factor LIBOR market models popular among practitioners. However, value functions and sensitivities of such models are described by degenerate parabolic (i.e. semi-elliptic) equations where the existence of regular global solutions is not trivial. In this...

We consider a classical discrete term-structure model for the joint modelling of risk-free and defaultable bonds (also known under its historical name, defaultable LIBOR market model). We model the risk-free forward rate Lᵢ and the defaultable forward-rate Lᵈᵢ.In the usual specification...