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Strategies & Market Trends : ahhaha's ahs -- Ignore unavailable to you. Want to Upgrade?


To: Bilow who wrote (1718)4/5/2001 10:58:42 PM
From: ahhahaRespond to of 24758
 
I know the various ways meant when different groups use that term. There exists a weak isomorphism between the notions used by traders and those used by mathematicians. Can "notions" be made adequately rigorous to show this isomorphism? In particular, the formal isomorphism can be constructed, but some formula modifications have to be introduced without losing meaning similarity at the cost of losing syntactic isomorphism. We can't use the algebra in the structure of the notion used by traders to derive the notion used by mathematicians, but we can find a common ground where the both sides would agree verbally that that is what they meant.

That's what I attempted to state in my previous post. "Fluctuation" and "amplitude" are both sufficiently vague so that each interpretation can be understood by the other, but they can both be made rigorous independently relative to the model used in both camps. Proof: we both understand the ways volatility is used.

The intuitive notion I gave was all there really is in the word, "volatility". I implied it can't be made rigorous because when one tries, either one does so abstractly with untoward results or one tries to capture the nature of varying data in expressions which again have untoward or unstable results.