Libor market model (LMM)

A market model on the iTraxx

A market model for the dynamics of credit-risky baskets and indexes such as the iTraxx has long been sought, but because of difficulties with the natural numéraire has remained elusive. Here, Philippe Carpentier proposes using hedging arguments to…

CMCDS valuation with market models

There is little, if any, literature available on constant-maturity credit default swap (CDS) valuation. Here, Damiano Brigo builds on his no-arbitrage dynamic CDS market model to derive a formula involving a 'convexity adjustment' feature correction,…

CMCDS valuation with market models

There is little, if any, literature available on constant maturity credit default swap valuation. Here, Damiano Brigo builds on his no-arbitrage dynamic credit default swap (CDS) market model to derive a formula involving a 'convexity adjustment' feature…

Smoking adjoints: fast Monte Carlo Greeks

Monte Carlo calculation of price sensitivities for hedging is often very time-consuming. Michael Giles and Paul Glasserman develop an adjoint method to accelerate the calculation. The method is particularly effective in estimating sensitivities to a…

A fully lognormal Libor market model

In the Gaussian Heath-Jarrow-Morton model, all discount factors are lognormal under allforward measures. The Libor market model does not have this property – only the relevantforward Libor rate is lognormal under a given forward measure. However, all…