Is a Bounce in US Equities Around The Corner? It Depends.

Anxious equity investors seeking comfort in market history might be reassured by the fact that large stock market declines tend to be followed by large gains.

After the brutal selloff of 2000-2002, for example, during which the S&P 500 nearly fell by a cumulative 37.6%, stocks recovered vigorously—rising 28.7% in 2003. Similarly, following 2008’s 37% drop, stocks roared back, gaining 26.5% in 2009.

We’ve been conditioned to expect dramatic reversals of fortune. And renowned academic Jeremy Siegel recently declared that stocks are “undervalued greatly.”[1]

In fact, large losses do precede large gains, on average (table). Trailing 12-month (TTM) declines in the S&P 500 index in the 20% to 25% range, for instance, are followed by 12-month periods (subsequent 12-month return, or STM) during which stocks go up by more than 13%, on average. Typical recoveries from larger falls are even bigger.

Using averages of rolling before and after 12-month periods, an investor might conclude that the odds are in favor of a stock market bounce soon—perhaps in 2023 as hinted at by Professor Siegel last week.[2]

But a slightly more rigorous look at the data suggests a strong caveat. I test the relationship between TTM and STM returns using simple linear regression, first with no “controls” (i.e., holding nothing else constant). The estimated effect (“coefficient”) of TTM return on STM return is small—a 1 percentage point change in TTM return associated with a 0.01% change in STM return—and it isn’t significant statistically. To control for the stance of monetary policy, a widely recognized driver of equity market returns, I add a dummy variable for Fed tightening. I assign this variable a “yes” if the Federal funds rate (Fed funds) gradually goes up in each STM period, and a “no” if Fed funds if flat or falling. But the estimated effect of TTM return on STM return changes hardly at all (the estimated “coefficient” is about the same). And in both specifications, the R2 is tiny (about 0.01), meaning TTM return captures almost none of the variation in STM return.