February 13th, 2007, 1:45 pm
Daniel Sevcovic Smart guy, even written a textbook on PDEsQuoteAnalysis of the free boundary for the pricing of an American call option D. SevcovicAbstract The purpose of this paper is to analyze the free boundary problem for the Black-Scholes equation for pricing the American call option on stocks paying a continuous dividend. Using the Fourier integral transformation method we derive and analyze a nonlinear singular integral equation determining the shape of the free boundary. Numerical experiments based on this integral equation are also presented.