This paper extends the static hedge portfolio (SHP) approach of Derman, Ergener, and Kani (1995) and Carr, Ellis, and Gupta (1998) to price and/or hedge American knock-out options. We construct a SHP to match the complicated boundary conditions of American barrier options. Detailed analyses of...

In this paper we propose a Gaussian quadrature method to study American and exotic option pricing under the jump-diffusion model of Merton (1976). Our numerical experiments show that the Gaussian quadrature method, compared to several existing methods in the literature, including the fast Gauss...