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王秋宇 · 2022年04月12日

这个题目出现在对于问题的英文理解上。

NO.PZ2018062007000082

问题如下:

If an underlying asset’s price is less than a related option’s strike price at expiration, a protective put position on that asset versus a fiduciary call position has a value that is:

选项:

A.

lower.

B.

the same.

C.

higher.

解释:

B is correct. On the one hand, buying a call option on an asset and a risk- free bond with the same maturity is known as a fiduciary call. If an underlying asset’s price is less than a related option’s strike price at expiration,the total value of the fiduciary call is X. On the other hand, holding an underlying asset, ST, and buying a put on that asset is known as a protective put. the total value of the protective put is(X-ST)+ST = X . A protective put and a fiduciary call produce the same result.

中文解析:

在T时刻,标的资产价格ST<执行价格K,在此时call option是没有价值的,为0.(因为T时刻是到期日,call的时间价值为0,而ST

所以此时C+K = 0+K=K;

另外一方面,在T时刻,put option的价值=K-ST(因为此时put的时间价值也为0,intrinsic value=K-ST),所以此时P+ST = K - ST + ST = K;

所以C+K = P + S仍然成立。

答案的解析没问题,但是这个题目究竟是问的什么?protective put option对比fiduciary call,还是说put option对比call option。几个that下来,题目的意思完全搞不清了

1 个答案

Lucky_品职助教 · 2022年04月13日

嗨,爱思考的PZer你好:


这句话讲的就是put call parity的定义,等式两边分别是protective put 和 fiduciary call,在任何情况下都相等哦

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