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简ying · 2022年12月17日

想问一下

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NO.PZ201712110100000208

问题如下:

Aline Nuñes, a junior analyst, works in the derivatives research division of an international securities firm. Nuñes’s supervisor, Cátia Pereira, asks her to conduct an analysis of various option trading strategies relating to shares of three companies: IZD, QWY, and XDF. On 1 February, Nuñes gathers selected option premium data on the companies, presented in Exhibit 1.

Nuñes considers the following option strategies relating to IZD:

Strategy 1: Constructing a synthetic long put position in IZD

Strategy 2: Buying 100 shares of IZD and writing the April €95.00 strike call option on IZD

Strategy 3: Implementing a covered call position in IZD using the April €97.50 strike option

Nuñes next reviews the following option strategies relating to QWY:

Strategy 4: Implementing a protective put position in QWY using the April €25.00 strike option

Strategy 5: Buying 100 shares of QWY, buying the April €24.00 strike put option, and writing the April €31.00 strike call option

Strategy 6: Implementing a bear spread in QWY using the April €25.00 and April €31.00 strike options

Finally, Nuñes considers two option strategies relating to XDF:

Strategy 7: Writing both the April €75.00 strike call option and the April €75.00 strike put option on XDF

Strategy 8: Writing the February €80.00 strike call option and buying the December €80.00 strike call option on XDF


Based on Exhibit 1, the maximum gain per share that could be earned if Strategy 7 is implemented is:

选项:

A.

€5.74.

B.

€5.76.

C.

unlimited.

解释:

B is correct.

Strategy 7 describes a short straddle, which is a combination of a short put option and a short call option, both with the same strike price. The maximum gain is €5.76 per share, which represents the sum of the two option premiums, or c0 + p0 = €2.54 + €3.22 = €5.76. The maximum gain per share is realized if both options expire worthless, which would happen if the share price of XDF at expiration is €75.00.

中文解析:

策略7描述了一种short straddle策略,它是由short callshort put构成的,callput具有相同的执行价格。

最大收益发生在股价等于两个期权的执行价格75的时候,此时收益最大为卖掉两个期权获得的期权费= €2.54 +€3.22 =€5.76

这个题我有点晕了,每次做完5.76,又看了下现在的股价,认为客户会立马行权。。。能再帮我理一下期权的过程吗?是不是说在某一段时间内,比如七月,客户才可以行权,那时如果股价横在执行价格,客户也不会行权,就可以赚满两个期权费了?

1 个答案
已采纳答案

Hertz_品职助教 · 2022年12月18日

嗨,爱思考的PZer你好:


同学你好

我理解同学的困惑了哈,同学的想法是现在股价是74.98,然而卖出的两个期权的执行价格是75,就像同学说的很可能马上会行权。

但我们需要知道的是其实期权是否会行权与我们计算这个策略的最大值是没有关系的。

我们计算策略的最大值也好,最小值或者均衡点都是对这个策略本身的讨论。策略的最大、最小值又或者是均衡点就相当于是策略的属性,它不会因为此时标的资产价格是多少而变化。

标的资产某一时刻的价格是75,说明此时该策略刚好可以实现最大值;如果不是75,该策略的最大值还是5.76,只不过此时没有达到

所以计算一个策略的最大、最小或者均衡点,无需关注此时的股价是多少。

而标的资产在不同的价格,只能对应的计算出这个策略在此时是赚是亏,赚多少和亏多少。

不知道是否解决了同学的困惑,如仍有不懂的地方,欢迎追问。

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