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kevinzhu · 2020年08月16日

问一道题:NO.PZ2018062007000078 [ CFA I ]

问题如下:

Assume a call option’s strike price is initially equal to the price of its underlying asset. Based on the binomial model, if the volatility of the underlying decreases, the lower of the two potential payoff values of the hedge portfolio:

选项:

A.

decreases.

B.

remains the same.

C.

increases.

解释:

B is correct. When the volatility of the underlying decreases, the value of the option also decreases, meaning that the upper payoff value of the hedge portfolio combining them declines. However, the lower payoff value remains at zero.

完全没有看懂和理解题目,请解析

1 个答案

xiaowan_品职助教 · 2020年08月17日

嗨,从没放弃的小努力你好:


同学你好,

这道题说的是假设一个call的执行价格和当前的标的资产价格相等,那么基于二叉树模型,如果标的资产的波动率下降,那么对冲组合的两个可能的payoff中较低的那个是怎样变化的。

这道题是一道原版书课后习题,它的描述有一点问题,对portfolio的描述不太清楚,我们根据解析可以看出其实这道题就是在考波动率对期权本身价值的影响,意思是波动率下降时,期权价值上限也会下降,但是期权价值下限仍然为0(也就是到期不行权),所以不变。

 


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虽然现在很辛苦,但努力过的感觉真的很好,加油!


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