In this paper, we review recent developments in modeling term structures of market yields on default-free bonds. Our discussion is restricted to continuous-time dynamic term structure models (DTSMs). We derive joint conditional moment generating functions (CMGFs) of state variables for DTSMs in...

This paper examines an alternative approach to interest rate modeling, in which the nonlinear and random behavior of interest rates is captured by a stochastic differential equation evolving on a curved state space. We consider as candidate state spaces the matrix Lie groups; these offer not...

Mathematical Interest Theory provides an introduction to how investments grow over time. This is done in a mathematically precise manner. The emphasis is on practical applications that give the reader a concrete understanding of why the various relationships should be true. Among the modern...

Der professionelle Umgang mit immer neuen Anlageformen und Finanzierungsinstrumenten setzt Kenntnisse der entsprechenden Zinsmathematik voraus. Außer an den praktisch interessierten Mathematiker wendet sich das Werk vor allem an den Betriebswirt und Praktiker zum Nachschlagen oder zum (Selbst-)...