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花儿。 · 2023年04月07日

可以单独说一下risk free rate对call / put option的影响吗。

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:

如题,谢谢

1 个答案

Lucky_品职助教 · 2023年04月09日

嗨,从没放弃的小努力你好:


可以从两个方面的效应来分析,一方面,无风险利率上升会使期权标的资产的预期收益率上升,另一方面,无风险利率的上升会使得期权持有者未来收益的现值会相应减少,这两种效应都会使看跌期权的价格下降。

对看涨期权而言,第一种效应将使看涨期权的价格上升,第二种效应将使看涨期权的价格下降。看涨期权的价格究竟是上升还是下降,取决于两种效应的比较。通常情况下,第一种效应的影响将起主导作用,即随着无风险利率的上升,看涨期权的价格也是上升的。

----------------------------------------------
虽然现在很辛苦,但努力过的感觉真的很好,加油!

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