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I find it odd we continually cite standard deviations for return distributions that are clearly not normally distributed
There's nothing magical about the normal distribution that means its the only distribution that you can calculate the std deviation of. As long as you have finite second moment you can calculate a std deviation just fine.
because if the distribution of returns isn't normally distributed it's a meaningless number. It's supposed to represent something (i.e 1 std = 68% of events, 2 = 95%, etc) but if the tails are way longer and flatter than a normal distribution the number doesn't mean anything.
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