The CBOE Volatility Index, VIX, is expressed in percentage terms as an annualized one standard deviation move of returns on the S&P 500 Index. For example, for a value 20 this would mean that a one standard deviation move is expected to be: sqrt(30/365.25) * Annualized Volatility (20%) = 5.7%. In other words, for a VIX of 20, this means that the market (implied from option prices) expects the S&P 500 Index to be within +/- 5.7% for a 30 day period 68% of the time (the amount of expected observations within + and - one standard deviation). 30 day expected move VIX 1std (68%) 2std (95%) 3std (99.7%) 10% 2.9% 5.7% 8.6% 20% 5.7% 11.5% 17.2% 40% 11.5% 22.9% 34.4% For a detailed explanation of how the VIX is calculated, you can see the official whitepaper here: https://cdn.cboe.com/resources/vix/vixwhite.pdf But lets go over some of the basics. Why do we estimate 30 day? When the VIX was first introduced, not as many option series (months) were listed....