Get Used To It

This is a brain teaser. You’ve been warned.

The S&P 500 is in a bear market (defined as the 50-day MA being below the 200-day MA) 30.8% of the time. Also, the S&P 500 has experienced single-day 4% declines 0.242% of the time. Of the times we experienced single-day selloffs exceeding 4%, 75.7% of the time we were in a bear market.

How much more likely are we to experience single-day losses exceeding 4% now that we’re in a bear market, compared to the likelihood of such an event in a bull market?

Odds are you stopped reading this puzzle after the first three sentences. In the unlikely event that you’re still with me, I’ve created a link to some code that holds the answer.  It’s a prolog script whose knowledge-base is derived from data-mining in R.

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