论文标题
毕竟美国的选择是欧洲吗?
Are American options European after all?
论文作者
论文摘要
如果存在欧洲的主张,我们称给定的美国选择可以代表,该主张在任何时候主导了美国的回报,因此这两个选项的价值在美国期权的延续区域重合。这个概念从概率,分析,财务和数字的角度具有有趣的含义。依靠Jourdain和Martini(2001,2002),Chrsitensen(2014)和凸双重性的方法,我们朝着验证美国选择的代表性迈出了第一步。
We call a given American option representable if there exists a European claim which dominates the American payoff at any time and such that the values of the two options coincide in the continuation region of the American option. This concept has interesting implications from a probabilistic, analytic, financial, and numeric point of view. Relying on methods from Jourdain and Martini (2001, 2002), Chrsitensen (2014) and convex duality, we make a first step towards verifying representability of American options.