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William2023 · 2024年10月01日

Time to expiration 不是对put option的影响不是不一定吗?

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:

Time to expiration 不是对put option的影响不是不一定吗?为啥又说跟 call option是相似的的?

1 个答案

李坏_品职助教 · 2024年10月01日

嗨,从没放弃的小努力你好:


大多数情况下,到期时间越长,看涨期权和看跌期权的价值越高。C选项的说法是OK的。


只有一种例外:

欧式看跌期权,当股票价格逼近0的时候,此时期权的价值已经达到最大,但由于无法提前行权,所以此时的时间价值是负数,time to expiration对这种极端情况下的看跌期权是负向作用。



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