Growth in the derivatives market has brought with it a greater volume and range of interest rate dependent products. These products have become increasingly innovative and complex to price, requiring sophisticated market models that capture the full dynamics of the yield curve. A study of the...

Interest rate benchmarks are currently undergoing a major transition. The LIBOR benchmark is planned to be discontinued by the end of 2021 and superseded by what ISDA calls an adjusted risk-free rate (RFR). ISDA has recently announced that the LIBOR replacement will most likely be constructed...

This manuscript reviews standard classes of Libor Market models and discusses their numerical approximation machinery. It gives introduction to non-defaultable, defaultable models, Levy-forced models and affine Libor models

In this paper, we introduce an extension to the LIBOR Market model that is suitable to incorporate both sudden market shocks as well as changes in the overall economic climate into the interest rate dynamics. This is achieved by substituting the simple diffusion process of the original LIBOR...

Evaluating interest rate derivatives stands and falls by a model properly capturing the volatility smile/skew. This does not only apply to pricing but also to evaluating counterparty default charges. We propose an arbitrage free model where forward Libor rates from the standard Libor Market...

We propose a new derivation of the Heath–Jarrow–Morton risk-neutral drift restriction that takes into account nonzero instantaneous correlations between factors. The result allows avoiding the orthogonalization of factors and provides an approach by which interest rate derivatives can be...