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On a numerical approximation scheme for construction of the early exercise boundary for a class of nonlinear Black-Scholes equations
numerical approximation construction nonlinear Black-Scholes equations
2010/10/21
The purpose of this paper is to construct the early exercise boundary for a class of nonlinear Black--Scholes equations with a nonlinear volatility depending on the option price. We review a method h...
Adaptive-Wave Alternative for the Black-Scholes Option Pricing Model
Black–Scholes option pricing adaptive nonlinear Schr¨odinger equation
2010/11/2
A nonlinear wave alternative for the standard Black–Scholes option–pricing model is
presented. The adaptive-wave model, representing controlled Brownian behavior of financial
markets, is formally de...