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raulnho · 2019年11月03日

问一道题:NO.PZ2016082404000032

问题如下图:

    

选项:

A.

B.

C.

D.

解释:

老师,C选项对于put option成立吗?对于put option,value=Max(0,X-St/e^δ*t),假设分红变大(趋近于无限大),St/e^δ*t→0,put option的价值趋近于X。因此对于ITM的put option,价值变动量是从原始的数值(因为是ITM,所以这个值肯定大于0)变动到最大的X;而对于OTM的put option,价值变动量是从0变动到X,因此,对于put option来说,当dividend无限增大时,OTM价值变动绝对值>ITM价值变动的绝对值。  


1 个答案

orange品职答疑助手 · 2019年11月03日

分红不可能趋于无穷大,它再大不可能让St/e^δ*t→0。这里结论对于put也成立的。这边看分红对期权价值的影响,主要是看delta的。put的delta的绝对值,也是当ITM时最高,OTM时最低 (绝对值)


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