This study compares continuous-time stochastic interest rate and stochastic volatility models of interest rate derivatives, examining these models across several dimensions: different classes of models, factor structures, and pricing algorithms. We consider a broader universe of pricing models,...

This paper studies numerical method for approximation of the Libor rate model driven by the Levy noise. We start with the Libor model based directly on the forward rate process. Within this modeling approach we can derive the explicit prices for swaps and swaptions. We use the implicit Euler...

We derive the theoretical relation between the term structure of implied variance and the expected excess returns of the underlying asset. Adopting three alternative approaches to compile the variables representing the information on the implied volatility index level and term structure, we show...

A Markovian Projection is investigated for the Local Stochastic Volatility Libor Market Model. An approximation based on the Log Normal process is introduced. In this approximation, the Markovian Projection is fitted to the CEV model rather than to Displaced Diffusion. The relationship with a...