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临江仙 · 2023年02月02日

Changes in the time to expiration tend to have a similar directional effect on the put and call strategies

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:

Changes in the time to expiration tend to have a similar directional effect on the put and call strategies

根据表格中的内容,时间对于call的影响是正向的,但是对于put是不确定的。

C选项也应该是错的才对呀。

1 个答案

Lucky_品职助教 · 2023年02月06日

嗨,爱思考的PZer你好:


同学你说的有道理,但根据本题most correct的问法,选C相对于A和B更合适~

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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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