تقرير
PDEs for pricing interest rate derivatives under the new generalized Forward Market Model (FMM)
| العنوان: | PDEs for pricing interest rate derivatives under the new generalized Forward Market Model (FMM) |
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| المؤلفون: | López-Salas, J. G., Pérez-Rodríguez, S., Vázquez, C. |
| المصدر: | 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 |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics Quantitative Finance |
| مصطلحات موضوعية: | Quantitative Finance - Pricing of Securities, Mathematics - Analysis of PDEs |
| الوصف: | 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. |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1016/j.camwa.2024.06.010 |
| URL الوصول: | http://arxiv.org/abs/2408.02289 |
| رقم الأكسشن: | edsarx.2408.02289 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1016/j.camwa.2024.06.010 |
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