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Share Price Volatility and Swing Trading

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Typing "volatility" into Google yields some pretty interesting and, in my opinion, pretty confused results.  The top result from my search was this one from Wikipedia and it says it all.  There seem to be many non-scientists regarding volatility as a financial market rainbow, with a crock of gold at the end of it. Anyone with the most basic grounding in geometrical optics knows that a rain "bow" is really a segment of a rain "ring" and the centre of that ring, and your head, and the sun, all form a straight line, and the angle between that line and the line from your head to the colored rings is a function of the size of the rain droplets. So the rainbow moves with you.  You can never reach out and touch the rings, and you can certainly never navigate to the "base", conceptual or otherwise. I suspect volatility is similar. From much of what is written there seem to be a fair few searching for crocks of gold, without a clear grasp