Numerical methods for the Lévy LIBOR model

Research output: Contribution to journalJournal articleResearchpeer-review


The aim of this work is to provide fast and accurate approximation schemes for the Monte-Carlo pricing of derivatives in the L\'evy LIBOR model of Eberlein and \"Ozkan (2005). Standard methods can be applied to solve the stochastic differential equations of the successive LIBOR rates but the methods are generally slow. We propose an alternative approximation scheme based on Picard iterations. Our approach is similar in accuracy to the full numerical solution, but with the feature that each rate is, unlike the standard method, evolved independently of the other rates in the term structure. This enables simultaneous calculation of derivative prices of different maturities using parallel computing. We include numerical illustrations of the accuracy and speed of our method pricing caplets.
Original languageEnglish
JournalIn M.R. Guarracino et al.
Publication statusPublished - 16 Jun 2010

Number of downloads are based on statistics from Google Scholar and

No data available

ID: 188789179