Quote from TskTsk:
The whole point of the skew is to make up for the fact that OTM options have paid off far more often than norm distribution would predict. Skew exists because fat tails exist. Wheter or not it's overstated, the only way to determine this is looking at historical data. And most historical data shows it's indeed overstated.
i understand and agree with your statement... fat tails and black swans are similar but at the same time two totally different things... the farther out in the tail you go the fuzzer things get.... and no matter how overstated that might be in skew no amount of miniscual probability is worth the risk of selling way otm penny options in my opinion.....
this is the deal... if you realize how small the sample is for outside 2nd standard devation events their really are per individual securities.. its impossible to price... this is where i get to your one statement about at some point the risk to reward is worth it if probabilities are small enough... AIG i'm sure said that when they were valuating the issuance premiums of mortgage bonds.. or LTCM's levered blow up.. you can't wholesale these trades to the quanties you need to to make sense of selling pennies... its not worth it... making .01 percent even in a week isn't worth it.. one blow up and your spending your life making up for it wiht tht strategy..
This isn't smooth.. its messy..... from my understanding you can't just apply a smooth distrobution to everything and think that things become infinity less possible as you go outside the 98 percent plus moves.. The whole thing is a mess... constant volatility assumption is what kills you... if your at .20% percent vol... put on a spread.. then the stock starts realizing 120 %percent vol... those 7 sigma moves aren't even 2nd standard deviation moves... thats not exact math.. but you get the idea..
i'm editing this post again.. haha here goes.. and by the way the whole idea of volatility trading is a mean reversion buy relatively low sell relatively high priced options.. by relatively constantly changes and the mean is really flux... in my opinion its better to error on the side that its a fu*cking mess and not some neat tight in the box equation that you can just punch money in and out of..
