J4 ›› 2009, Vol. 47 ›› Issue (4): 717-722.

Previous Articles     Next Articles

Symmetry Properties on American Options

HUA Qiuling1,2, YANG Chengrong3   

  1. 1. College of Mathematics, Jilin University, Changchun 130012, China;2. College of Science, Changchun University of Science and Technology, Changchun 130022, China;\=3. College of Business, Jilin University, Changchun 130012, China
  • Received:2008-12-05 Online:2009-07-26 Published:2009-08-24
  • Contact: YANG Chengrong E-mail:yangcr@mail.jlu.edu.cn.

Abstract:

We derived symmetry relationships between values and optimal exercise boundaries of the American capped call and floored put option by means of PDE arguments and extended our results to the options with the cap and the floor varying with time. Our results in this paper are significant for investors.

Key words: symmetry, American option, capped, floored

CLC Number: 

  • O221.3