In this paper we discuss interest rate curve interpolation methods and their properties in the context of financial applications. We review the modern (multi-curve) theory of interest rate curve modeling, taking into account collateralization. Building on this solid foundation we reconsider...

In this note we consider a classical term structure model framework, that is, a HJM framework on a time-discrete tenor, like the LIBOR market model, using a sequence of tenor discretization, where the tenors are valid for a specific simulation time interval.The setup then allows to model dynamic...

In this note we discuss the definition, construction, interpolation and application of curves.We will discuss discount curves, a tool for the valuation of deterministic cash-flows and forward curves, a tool for the valuation of linear cash-flows of (possibly) stochastic indices.The aim of 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...