The difference here is how we are defining "black swan." I'm defining in quantitative terms and what the market is pricing in at the time prior to move. Others seem to be defining according to their own subjective definitions. Look, I'll say up front that I'm not the smartest guy in the room. I can only go off of what the market is pricing in at the time.
I estimated the 180 SD calculation, but I'll walk you through the calculation. Annual volatility assumes a 1 SD move. Prior to the move, the annual volatility for the Swiss Franc was a little over 1.7 percent. So there was a 1 SD chance that the Swiss franc would depreciation or appreciate 1.7% in a year's time. This isn't my judgment, this is just what the market was pricing in at the time.
To calculate the daily IV, take the annual and divide by the square root of 365, or roughly 19.1. .017/19.1 = .00089 daily volatility. That day the franc moved 19 percent. .19/.00089 = 213 standard deviations. So I was wrong, it wasn't 180 SDs.
But the point is, that was a huge daily move and I can still feel bad for the guys who were on the wrong side of the market at the time of the move. It is like a really bad beat in poker - it sucks, you feel bad for them, but it happens to us all from time to time. Just another good reason to stay small.