LTCMers ARE morons.Quote from Martinghoul:
This is a silly statement for a whole variety of reasons...
So what if you can buy more options? If I have a 100 bucks, I can own a lot more pennies than quarters. The value of my 100 bucks doesn't change.
You don't get the right to call Black and Scholes morons until you invent an independent and more robust option pricing theory and receive a Nobel Prize for it. Moreover, they didn't blow up LTCM. Finally, Black Scholes is perfectly capable of pricing OTM options. If you don't know how to utilize and refine the theory properly, that's your own problem.
What you say regarding the normal distribution is complete nonsense. The problem is emphatically NOT that "large movements from the average are extremely likely".
And, finally, slightly OTM options are as much "the thing" as any other options. Generalization of this sort are utterly meaningless.
Or at least they are useful fools.
The black-scholes pretends that large movements are extremely unlikely.
Much much more unlikely than the real world.
The 1987 crash is so "unlikely" that it would take many billion lifetimes of the universe to expect it happen.
AIG crashed the very same way.
Their models told them that extreme deviations are unlikely, they happened and ... well you know.
I can make a better model, it just needs a much more flatter curve than the bell curve.
I wouldn't publish such a model, I need fools to sell options cheap.
A more OTM may cost only half of a less OTM option in the black scholes model.
However, the more OTM does NOT have half as much probabilities of ending up ITM.