Convexity of the exercise boundary of the American put option on a zero dividend asset

被引:1
|
作者
Chen, Xinfu [1 ]
Chadam, John [1 ]
Jiang, Lishang [2 ]
Zheng, Weian [3 ]
机构
[1] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA
[2] Tongji Univ, Shanghai 200092, Peoples R China
[3] Univ Calif Irvine, Irvine, CA USA
关键词
American put option on a zero dividend asset; convexity of the early exercise boundary; free boundary problem; obstacle problem; near-expiry estimates;
D O I
暂无
中图分类号
F8 [财政、金融];
学科分类号
0202 ;
摘要
We show that the optimal exercise boundary for the American put option with non-dividend-paying asset is convex. With this convexity result, we then give a simple rigorous argument providing an accurate asymptotic behavior for the exercise boundary near expiry.
引用
收藏
页码:185 / 197
页数:13
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