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灰飞翔的猫 · 2024年11月12日

怎么理解

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NO.PZ202402070100000104

问题如下:

In her most recent research note on CWI, SCSI’s equity analyst specifically mentions an increase in CWI’s leverage ratio as a reason for her bearish outlook on the stock. Applying the put-call parity relationship to the value of the firm, which of the following statements most accurately describes the CWI outlook in terms of option pricing?

选项:

A.The shareholder payoff has improved versus debtholders, because they have sold a put option on the firm value that has appreciated.

B.The debtholder payoff has deteriorated versus the shareholders, because they are effectively short a put option on the value of the firm equal to the value of debt, which has appreciated in value.

C.The shareholder payoff has improved versus the debtholders, because the debtholders have sold a call option on the firm’s assets to the shareholders.

解释:

The correct answer is B. Thedebtholder payoff has deteriorated versus the shareholders, because they areeffectively short a put option on the value of the firm equal to the value ofdebt, which has appreciated in value. The debtholder payoff is min(D, VT)= D max(0, D VT) and equals the debt face value (D) minusa put option on firm value (VT) with an exercise price of D. AnswerA is incorrect because the debtholders, not the shareholders, have sold a putoption. C is incorrect, because the shareholders own a call option, but it is notsold by the debtholders.

麻烦助教老师解释下这道题,有点看不懂解析了

1 个答案
已采纳答案

李坏_品职助教 · 2024年11月13日

嗨,努力学习的PZer你好:


题目的考点的put-call parity在firm value上的应用。

公司的债权人(debt holders)相当于卖出了一个Put option,标的物是公司价值VT, 执行价格是债务的面值D。

如果公司未来的价值VT超过债务面值D,那么债权人可以收回自己的债务面值D。如果公司价值低于债务面值D,那么债权人只能取回公司的价值VT。


A选项说,shareholders卖出put option,这个不对,应该是debt holders卖出put option。

B是对的。debt holders由于卖出put option,而这个put option的标的物是公司价值,未来公司价值会下降(bearish outlook on the stock),put option价值变大,但由于是卖出put option,所以此时debt holders是亏钱的。

C错误。shareholders手里持有的看涨期权,并不是从debt holders手中买入的。

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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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