If a stock with a low standard deviation of returns falls by a small amount then in some ways that is equivalent to a much larger fall in a stock with a higher standard deviation of returns.
Why?
True, ipso facto, you lose less when anything falls less...
But that's not the point here....
What is interesting is that from a probabilistic point of view, a stock with a standard deviation of returns of (say) half that of another stock is falling the "equivalent" amount, again in a probabilistic sense, when it falls half as much as the second stock.
In other words, when you buy a stock, you're not just buying the return, you're also buying the risk.
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