“Narcissus so himself, himself forsook,
And died to kiss his shadow in the brook.”

William Shakespeare, Venus and Adonis

Tony Sanders has a very interesting column today pointing out a remarkable spike higher in ‘skew risk’ for the SP 500.

Here is the definition of skew risk from the the Chicago Board of Options Exchange:

The crash of October 1987 sensitized investors to the potential for stock market crashes and forever changed their view of S&P 500® returns. Investors now realize that S&P 500 tail risk – the risk of outlier returns two or more standard deviations below the mean – is significantly greater than under a lognormal distribution. The CBOE SKEW Index (“SKEW”) is an index derived from the price of S&P 500 tail risk. 

Similar to VIX®, the price of S&P 500 tail risk is calculated from the prices of S&P 500 out-of-the-money options. SKEW typically ranges from 100 to 150. A SKEW value of 100 means that the perceived distribution of S&P 500 log-returns is normal, and the probability of outlier returns is therefore negligible. 

As SKEW rises above 100, the left tail of the S&P 500 distribution acquires more weight, and the probabilities of outlier returns become more significant. One can estimate these probabilities from the value of SKEW. Since an increase in perceived tail risk increases the relative demand for low strike puts, increases in SKEW also correspond to an overall steepening of the curve of implied volatilities, familiar to option traders as the “skew”.