A fitted L-Multi-point Flux Approximation method for pricing options
Peer reviewed, Journal article
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Original versionKoffi, R. S., & Tambue, A. (2021). A Fitted L-Multi-Point Flux Approximation Method for Pricing Options. Computational Economics. 10.1007/s10614-021-10161-2
In this paper, we introduce a special kind of finite volume method called Multi-Point Flux Approximation method (MPFA) to price European and American options in two dimensional domain. We focus on the L-MPFA method for space discretization of the diffusion term of Black–Scholes operator. The degeneracy of the Black-Scholes operator is tackled using the fitted finite volume method. This combination of fitted finite volume method and L-MPFA method coupled to upwind methods gives us a novel scheme, called the fitted L-MPFA method. Numerical experiments show the accuracy of the novel fitted L-MPFA method comparing to well known schemes for pricing options.