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Sofia nice · 2024年05月09日

long put 和short call 不用考虑对冲策略和方向吗,我的第一反应是画图,后来看画图都蒙蒙的。

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:

long put 和short call 不用考虑对冲策略和方向吗,我的第一反应是画图,看long远期合约,用那种对冲的期权策略。后来看画图都蒙蒙的。才发现不是用画图解决。

1 个答案

李坏_品职助教 · 2024年05月09日

嗨,爱思考的PZer你好:


这个题不需要画图,也不需要考虑long或者short。题目问是 how the value of a put and call is affected,也就是当这些factor变化时,put的价值和call的价值怎么变化。


期限对于call和put都是正向影响,所以time to expiration对于call和put是有similar directional effect,C选项前半句正确。

无风险利率和行权价格对于call和put的影响是相反的,可以参考答案里面的表,所以C选项后半句也正确。A前半句错误。

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