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标题: i wasted 15 minutes of my life on this Q [打印本页]

作者: dvilayphet    时间: 2011-7-11 20:02     标题: i wasted 15 minutes of my life on this Q

let's see if i am the only one.

consider a share ABC stock with current price of 50. Which of the following options on ABC stock will most likely have the lowest vega? A long:

A. Put with strike of 10
B. Call with strike of 90
C. Put with the strike of 50 and short call with strike of 50.

I am sure most of you will get it right.
I post answer after 5 responses.
作者: 19831985    时间: 2011-7-11 20:02

of course the call the with strike price of 90.
作者: zhaoyp    时间: 2011-7-11 20:02

It's C. If there is no arbitrage, vega for the same strike must be equivalent. So, C has zero vega.
作者: brainsX    时间: 2011-7-11 20:02

answer is C
作者: ninja1024    时间: 2011-7-11 20:02

ohai Wrote:
-------------------------------------------------------
> It's C. If there is no arbitrage, vega for the
> same strike must be equivalent. So, C has zero
> vega.


How do you know there is no arbitrage based off of what is given in the question?
作者: onelife1    时间: 2011-7-11 20:02

C

Wouldn't the volatility inputs be relatively similar for a put and call that are $40 out of the money in each direction? By process of elimination I arrived at C although I couldn't really justify C as my answer.
作者: ayodayo    时间: 2011-7-11 20:02

they might be relatively similar but it won't cancel out to exactly 0?
作者: Analyze_This    时间: 2011-7-11 20:02

the long and short position cancel to exactly 0 vega
作者: giorgio10    时间: 2011-7-11 20:02

Chuckrox8 Wrote:
-------------------------------------------------------
> C
>
> Wouldn't the volatility inputs be relatively
> similar for a put and call that are $40 out of the
> money in each direction? By process of
> elimination I arrived at C although I couldn't
> really justify C as my answer.
your are right, A and B have equally low vega




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