QWARK


Total Posts: 23 
Joined: Apr 2008 


Hi,
If I am long USD 100k vega of option A ( implied vol of 10) and short USD 100k vega of option B ( implied vol of 100), which would be a better portfolio risk measure  the net vega of 0 or the net volatility weighted vega of 9000k (100k*10100k*100)? Someone told me that the latter risk measure incorporates "volofvol" which i did not understand fully.
Any thoughts?
Also, would be grateful if someone can kindly direct me to any academic paper that discuss the volatility weighted vega as a portfolio risk measure.
Thanks !
Q.




Baltazar


Total Posts: 1773 
Joined: Jul 2004 


It obviously depends on how option A and B are related. Same underlying, maturity, strike?
I believe you need to now how implied volatility of optioon A behaves compared to implied volatility of option B. One can do that through covariance of both volatilities or equivalently a function of correlation of both implied and vol of each vol.
This is just the same as : should I add the deltas of option A and B or not?

Qui fait le malin tombe dans le ravin 

aaron


Total Posts: 746 
Joined: Mar 2006 


Weighting by volatility is correct if the implied volatility of the options will change by the same multiplicative factor (if A goes from 10 to 11, B goes from 100 to 110). You wouldn't want to weight if the IV's would change by the same additive factor (if A goes from 10 to 11, B goes from 100 to 101).
As Baltazar says, the natural assumption depends on what kind of options you are comparing. If they have the same underlying and expiry, but B is a deep out of the money put, or if they have the same underlying and strike, but B has 100 times longer to expiry, or if they are totally unrelated (an S&P500 call versus a put on an individual stock); multiplicative makes more sense than additive. Of course, there is a lot of basis risk in those trades, you would be wise to consider gross as well as net Vega.
It's also possible to approach this with a model, like a vol surface or stochastic vol model. Then the model will dictate the total Vega. 



QWARK


Total Posts: 23 
Joined: Apr 2008 


Thanks Baltazar and Aaron for replying ! 


QWARK


Total Posts: 23 
Joined: Apr 2008 

 
niki5


Total Posts: 69 
Joined: Feb 2009 

 

You have got remarkable stuff at this point. That is to say, you make the best one. You should keep publishing more articles and you 9anime website will Such Become One of the best writers ever. 




Research paper plays a significant role in higher education life of Anime. Most advances and spend much time on writing research paper.


