http://vixandmore.blogspot.com/2010/05/vix-rule-of-16-and-realized-volatility.html
The VIX, Rule of 16 and Realized Volatility
Two days ago, in Rule of 16 and VIX of 40, I discussed the Rule of 16 in terms of translating the (annualized) VIX number into expectations for future daily realized volatility in the S&P 500 index.
That post drew several interesting comments, which unfortunately they now reside somewhere in Disqus limbo. In one of the comments, rafaminos offered the following thoughts:
It seems that VIX is on average higher that realized volatility (based on daily returns over 30 days). I also tried to shift VIX 30 days in advance and the conclusion is the same. Since the historical ratio of the two is 1.45 (VIX/realized volatility), should not we infer from this past relationship that the implied realized volatility is more like 30 (45/1.45), meaning a 2% change 1/3 of the time?