Unifying Black–Scholes Type Formulae Which Involve Brownian Last Passage Times up to a Finite Horizon

Unifying Black–Scholes Type Formulae Which Involve Brownian Last Passage Times up to a Finite Horizon
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统一涉及布朗最后通过时间直至有限视野的 Black-Scholes 型公式

DOI:
10.1007/s10690-008-9068-y
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发表时间:
2008
影响因子:
1.7
通讯作者:
M. Yor
M. Yor
中科院分区:
--
文献类型:
--
作者:
Dilip B. Madan;B. Roynette;M. Yor

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作者最近发现了Black-Scholes公式和布朗指数鞅的最后通过时间之间的一些有趣的关系,这使得人们可以在有限水平上寻找最后通过时间的类似结果。这是在本文件中实现的,其中尤里的公式,最初提出的Akahori等人。(关于期权的定价写在最后的退出时间,2008年),也来自。
The authors recently discovered some interesting relations between the Black–Scholes formula and last passage times of the Brownian exponential martingales, which invites one to seek analogous results for last passage times up to a finite horizon. This is achieved in the present paper, where Yuri’s formula, as originally presented in Akahori et al. (On the pricing of options written on the last exit time, 2008), is also derived.