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- W3174551869 abstract "This paper presents the Runge-Kutta-Legendre finite difference scheme, allowing for an additional shift in its polynomial representation. A short presentation of the stability region, comparatively to the Runge-Kutta-Chebyshev scheme follows. We then explore the problem of pricing American options with the Runge-Kutta-Legendre scheme under the one factor Black-Scholes and the two factor Heston stochastic volatility models, as well as the pricing of butterfly spread and digital options under the uncertain volatility model, where a Hamilton-Jacobi-Bellman partial differential equation needs to be solved. We explore the order of convergence in these problems, as well as the option greeks stability, compared to the literature and popular schemes such as Crank-Nicolson, with Rannacher time-stepping." @default.
- W3174551869 created "2021-07-05" @default.
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- W3174551869 date "2021-06-01" @default.
- W3174551869 modified "2023-09-27" @default.
- W3174551869 title "Pricing American options with the Runge-Kutta-Legendre finite difference scheme" @default.
- W3174551869 hasPublicationYear "2021" @default.
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