TY - JOUR T1 - A Numerical Method for Determining the Optimal Exercise Price to American Options AU - Wu , Xiong-Hua AU - Feng , Xiu-Juan JO - Journal of Computational Mathematics VL - 3 SP - 305 EP - 310 PY - 2003 DA - 2003/06 SN - 21 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/10258.html KW - American options, Free boundary, Optimal exercise price, Nonlinear equation. AB -

American options can be exercised prior to the date of expiration, the valuation of American options then constitutes a free boundary value problem. How to determine the free boundary, i.e. the optimal exercise price, is a key problem. In this paper, a nonlinear equation is given. The free boundary can be obtained by solving the nonlinear equation and the numerical results are better.