TY - JOUR T1 - American Put Options on Zero-Coupon Bonds and a Parabolic Free Boundary Problem AU - Yang , Hongtao JO - International Journal of Numerical Analysis and Modeling VL - 2 SP - 203 EP - 215 PY - 2004 DA - 2004/01 SN - 1 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/975.html KW - American put option, zero-coupon bond, optimal exercise boundary, free boundary problem, uniqueness, existence. AB -
In this paper we study American put options on zero-coupon bonds under the CIR model of short interest rates. The uniqueness of the optimal exercise boundary and the solution existence and uniqueness of a degenerate parabolic free boundary problem are established. Numerical examples are also presented to confirm theoretical results.