The past month has presented a seemingly extraordinary situation in the markets with the S&P 500 at one point falling nearly 10%, then recovering to significant new highs within weeks. Some observers view the move as unsustainable and a sign that significant trouble still lurks ahead for markets. We thought it would be interesting to see how the S&P 500 has actually performed historically in the wake of sharp v-shaped reversals like the one we just witnessed.
First, we needed to come up with a precise definition of what constitutes a sharp upside reversal. Please bear with us here. To start, we calculated the mean difference between the S&P 500’s daily closing price and the daily 50-day trailing moving average since 1955. We then calculated the standard deviation statistic for that mean difference. For the uninitiated, standard deviation gives us a sense statistically of how significant a move has occurred below or above a mean. For instance, under a normal “bell curve” approximately 66% of outcomes should be with + or – 1 standard deviation of the mean and approximately 95% should be within + or – 2 standard deviations of the mean. In this case, we looked for all trading days since 1955 in which the number of standard deviations from the mean (also known as a “z-score”) in terms of distance from the 50-day moving average was 2 or more z-score points above the z-score from 25 days prior (basically 5 trading weeks). In other words, if the S&P 500 closed 2 standard deviations below the 50-day moving average five weeks ago, and closed 1 standard deviation above the 50-day moving average today, that would count as a reversal (the z-score difference would be 3 in this example).
As others have observed, this turns out to be a somewhat rare occurrence. Overall, there were 14,993 trading days in our sample. 703 days, or 4.7%, met the criteria set out above for a significant upside reversal close. Keep in mind though that these days tend to cluster in bunches, so there can be long periods of time between market periods exhibiting this type of behavior.
How does the market perform, on average, in the wake of these upside reversals? Quite well actually. It appears that the good performance carries on. We looked at performance 90 trading days, 270 trading days, and 540 trading days from a reversal trigger day. The data is below.
As you can see, for each of the three time intervals, short-term to long-term, the average performance following reversal trigger days was higher than normal. The difference in average performance is statistically significant for all three time-intervals at the 99% level. And, for the 90 and 270-day time intervals, the percentage of negative outcomes after reversals was solidly lower than for the overall data set. At the 540-day interval, the percentage of negative outcomes was slightly higher.
Does this mean the market is guaranteed to jump 10% to 20% over the next year or so now that we’ve observed a sharp upside reversal period? Of course not. As one would expect, there were plenty of negative results to be found in these data sets, with the ‘73/’74, ‘00/’02 and ‘07/’09 mega bear periods providing some particularly gory outcomes. Nonetheless, the outcomes show that volatile reversals of the sort we just observed in recent weeks more often lead to periods of significantly better than normal performance moving forward instead of major pain, especially when the reversals happen in the middle of a benign economic and market performance period. If we see reversal events like this crop up in conjunction with deterioration in the overall fundamental market and economic backdrop, we’ll begin to raise our eyebrows, though.