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绿水精灵 · 2025年01月19日

能否再讲下buy a put option和sell a short option在此题中为什么long 和 short无影响?

NO.PZ2021061002000069

问题如下:

An asset manager owns non-dividend-paying stock in XYZ Corporation, currently priced (S0) at $50 a share. The asset manager is considering selling shares at a forward price (F0(T)) of $54 per share in six months at a risk-free rate of 2%.

Now consider buying a put option or selling a call option with an exercise price (X) equal to the forward price (F0(T)) as an alternative to a forward stock sale.

Based on the above information, answer the question:

When comparing the long put and short call strategies, which of the following is most correct about how the value of a put and call is affected by changes in factors?

选项:

A.

Changes in the time to expiration and the risk-free rate have a similar directional effect on the put and call strategies, while changes in the exercise price tend to have the opposite effect.

B.

Changes in the risk-free rate have a similar directional effect on the put and call strategies, while changes in the exercise price and the time to expiration tend to have the opposite effect.

C.

Changes in the time to expiration tend to have a similar directional effect on the put and call strategies, while changes in the exercise price and the risk-free rate tend to have the opposite effect.

解释:

中文解析

本题考察的是影响期权价值的因素。

选项中涉及的到期时间、执行价格、无风险利率对看涨和看跌期权价值的影响,参考下表:

能否再讲下buy a put option和sell a short option在此题中,为什么long 和 short对解题无影响?buy/long a put option和sell/a put option是一样的?题目解析中的call和put option的对比,和option方向无关?

1 个答案

李坏_品职助教 · 2025年01月19日

嗨,努力学习的PZer你好:


题目最后问的是how the value of a put and call is affected? 意思是对于long put 与long call,以下叙述正确的是哪一项?

题目问的是option的 value,意思是都从long的角度来考虑。


从讲义的截图里面可以看出,

exercise price与risk free rate对于long call和long put的影响是相反的,而time对于二者的影响大部分情况下是一致的,所以C正确(只有股价接近于0的时候的欧式put option,time的影响可能会出现negatively)。

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