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JoyLi · 2022年06月08日

这个题要怎么理解

NO.PZ2016082402000041

问题如下:

All else being equal, which of the following options would cost more than plain-vanilla options that are currently at-the-money?

I.  Lookback options

II.   Barrier options

III.  Asian options

IV.  Chooser option

选项:

A.

I only

B.

I and IV

C.

II and III

D.

I, III, and IV

解释:

ANSWER: B

Lookback options use the maximum stock price over the period, which must be more than the value at the end. Hence they must be more valuable than regular European options. Chooser options involve an additional choice during the life of the option, and as a result are more valuable than regular options. Asian options involve the average, which is less volatile than the final price, so must be less expensive than regular options. Finally, barrier options can be structured so that the sum of two barrier options is equal to a regular option. Because each premium is positive, a barrier option must be less valuable than regular options.

为什么选1、4选项,题目的意思是对于普通期权的平值?老师能麻烦给解释下吗

1 个答案
已采纳答案

李坏_品职助教 · 2022年06月08日

嗨,爱思考的PZer你好:


题目问的是:下列哪一项期权比平值(at-the-money,意思是期权行权价=股票价格)的普通期权价格高?


这个题目等于在问你哪些期权的价值高于普通期权,期权的价值实际上体现在选择权,选择的范围越大,价值越高。


1里面的lookback option是看一段时间内股票的最高价或最低价作为行权时候的结算价,所以价格必定高于普通的期权(普通期权只看到期日那一天的股价)。


4里面的chooser option给予买方自由选择该期权作为看涨期权或看跌期权的权利,等于比普通的期权多了一项选择权,所以价格也高于普通期权。

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