Abstract
The purpose of this chapter is to give an overview of some recent aspects of interest rate theory. After having recapitulated some basic results, we discuss forward rate models in the Heath-Jarrow-Morton framework. We then go on to a more detailed investigation of the geometric properties of the forward rate equation, such as consistency problems and finite dimensional realizations. The LIBOR market model is given a separate section. We end by showing how stochastic potential theory can be used to construct and analyze positive interest rate models. © 2008 Elsevier B.V. All rights reserved.