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Olivia.W🌸 · 2024年04月21日

能用ck=ps公式解释一下吗?没看懂

NO.PZ2023040401000093

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 the fiduciary call expires in the money (meaning that the value of the call, ST – X, is greater than the risk-free bond’s price at expiration, X), then the total value of the fiduciary call is (ST – X) + X, or ST. On the other hand, holding an underlying asset, ST, and buying a put on that asset is known as a protective put. If the put expires out of the money, meaning that the value of the asset, ST, is greater than the put’s value at expiration, 0, then the total value of the protective put is ST – 0, or ST. A protective put and a fiduciary call produce the same result.

题目意思不是S小于K?

1 个答案

李坏_品职助教 · 2024年04月22日

嗨,努力学习的PZer你好:


sorry 我被答案里面的第二种情况误导了。


题目收的是ST < K,那么:

  1. a protective put position = long put + long asset = (K-ST) +ST = K;
  2. a fiduciary call position = long bond + long call = K + 0,因为ST小于K,所以call option是无价值的,最后得到K。

那么1和2这两种组合最终都是得到K,所以是the same。


答案解析写的是第二种情况,当ST >K时,1和2这两种组合得出来的都是ST,也是the same。


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