A Fitted L-Multi-Point Flux Approximation Method for Pricing Options
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AbstractIn 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.
2021 ◽
2014 ◽
Vol 31
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pp. 1190-1208
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2021 ◽
Vol 20
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pp. 17-40
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2008 ◽
Vol 201
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pp. 398-413
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2017 ◽
Vol 71
(6)
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pp. 506-532
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