Title: Solving American Option Pricing Models by the Front Fixing Method: Numerical Analysis and Computing.
Authors: Company, R.; Egorova, V. N.; Jódar, L.
Abstract: This paper presents an explicit finite-difference method for nonlinear partial differential equation appearing as a transformed Black-Scholes equation for American put option under logarithmic front fixing transformation. Numerical analysis of the method is provided. The method preserves positivity and monotonicity of the numerical solution. Consistency and stability properties of the scheme are studied. Explicit calculations avoid iterative algorithms for solving nonlinear systems. Theoretical results are confirmed by numerical experiments. Comparison with other approaches shows that the proposed method is accurate and competitive.
Subjects: CAPITAL assets pricing model; NONLINEAR partial differential operators; NUMERICAL analysis; MONOTONIC functions; NONLINEAR systems
Publication: Abstract & Applied Analysis, 2014, p1
ISSN: 1085-3375
Publication type: Academic Journal
DOI: 10.1155/2014/146745

Solving American Option Pricing Models by the Front Fixing Method: Numerical Analysis and Computing.

Company, R.; Egorova, V. N.; Jódar, L.