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luojy · 2024年05月21日

minimum cost的计算问题思考与展开讨论

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NO.PZ202212300200003401

问题如下:

Given the information in Exhibit 1, the minimum cost of implementing abullish seagull strategy, using strike prices of $490 and $530, is closest to:

选项:

A.

$16.83

B.

$22.47

C.

$23.63

解释:

Correct Answer: A

A bullish seagullstrategy involves a bull call spread (debit call spread) and the sale of an OTMput.

The three positions involve:

Buying an in-the-money(ITM) call at strike $490 by paying a premium $23.05

Selling an OTM call atstrike $530 by receiving a premium $3.40

Selling an OTM put atstrike $490 by receiving a premium $2.82

Cost of bullish seagullstrategy is $23.05 – $3.40 – $2.82 = $16.83

先不管是bullish还是bearish, 有一个疑问,上课的时候老师说过, seagull的头寸应该是4条腿,是=long stock+long put+short call+short put,就算题目变成bullish seagull, 也应该是4条腿组成,为什么解析里面不考虑stock那条腿的头寸? 另外一个问题,计算时为什么只考虑期权费,不考虑其他的,比如下图,波浪线划出来的为什么不计算进去。我发现不止这一题,有些题目是要考虑波浪线的,有些题只加减期权费,又有些题只加减波浪线不管期权费,这个可以请老师区分下哪种情况用哪种计算方式吗?

1 个答案

pzqa31 · 2024年05月22日

嗨,努力学习的PZer你好:


1.    首先呢,bullish seagull构成是:long call(执行价格中等)+ short call(执行价格最高)+short put(执行价格最低)。

2.    关于这道题,看一下题目要求的是只能使用执行价格490和530的期权。而我们在490和530之间,530是较高的执行价格,所以首先确定short call at 530;那么剩下的两个期权的执行价格可以确定的是都需要比530小,但是没有选择,只剩下490的执行价可以选择,所以只能是long call at 490,short put at 490.


只能说这不是严格的海鸥策略,但是题目又说这是海鸥策略,然后还只给了两个执行价可以选择,所以只能这样来做。

可以看到这是一个mock题目,mock题目一贯的风格就是很多错误,出题不严谨,所以就按照题目意思练习一下即可。

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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

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