This paper extends the static hedging portfolio (SHP) approach of Derman et al. (1995) and Carr et al. (1998) to price and hedge American knock-in put options under the Black–Scholes model and the constant elasticity of variance (CEV) model. We use standard European calls (puts) to construct...

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...