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12345678wdv · 2024年03月04日

这种解法 对吗

NO.PZ2020021203000117

问题如下:

Provide an alternative decomposition of the chooser option to that given in the chapter so that it is a call maturing at time T1 plus a put maturing at time T2 .

选项:

解释:

With the notation in the text we can write max(c, p) = p + max(c - p, 0) = p + max(S - PV(K), 0)

This shows that the chooser option is a portfolio consisting of:

• A put option maturing at time T2, and

• A call option with strike price PV(K) maturing at time T1.

max(c, p) = c + max(p - c, 0) = c + max(PV(K)- S, 0)

This shows that the chooser option is a portfolio consisting of:

• A call option maturing at time T2, and

• A put option with strike price PV(K) maturing at time T1.

1 个答案

pzqa39 · 2024年03月04日

嗨,从没放弃的小努力你好:


正确的,相当于先给max括号里面的两个数同时-p或者同时-c,再在括号外面+p或者+c,这样一加一减就抵消了,相当于没变。

之后再用Put-call-parity替换一下c-p或者p-c就可以了。

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