PDEs for pricing interest rate derivatives under the new generalized Forward Market Model (FMM)

J. G. L\'opez-Salas, S. P\'erez-Rodr\'iguez and C. V\'azquez

Papers from arXiv.org

Abstract: In this article we derive partial differential equations (PDEs) for pricing interest rate derivatives under the generalized Forward Market Model (FMM) recently presented by A. Lyashenko and F. Mercurio in \cite{lyashenkoMercurio:Mar2019} to model the dynamics of the Risk Free Rates (RFRs) that are replacing the traditional IBOR rates in the financial industry. Moreover, for the numerical solution of the proposed PDEs formulation, we develop some adaptations of the finite differences methods developed in \cite{LopezPerezVazquez:sisc} that are very suitable to treat the presence of spatial mixed derivatives. This work is the first article in the literature where PDE methods are used to value RFR derivatives. Additionally, Monte Carlo-based methods will be designed and the results are compared with those obtained by the numerical solution of PDEs.

Date: 2024-08
References: View references in EconPapers View complete reference list from CitEc
Citations:

Published in Jos\'e Germ\'an L\'opez-Salas, Soledad P\'erez-Rodr\'iguez, Carlos V\'azquez, PDEs for pricing interest rate derivatives under the new generalized Forward Market Model (FMM), Computers & Mathematics with Applications, 169, 2024, 88-98

Downloads: (external link)
http://arxiv.org/pdf/2408.02289 Latest version (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:arx:papers:2408.02289

Access Statistics for this paper

More papers in Papers from arXiv.org
Bibliographic data for series maintained by arXiv administrators ().