Do the odds favour a rebound in equities? Do the odds favour a rebound in equities? Do the odds favour a rebound in equities?

Do the odds favour a rebound in equities?

Peter Garnry

Chief Investment Strategist

Summary:  Going back to 1987 individual investors have only been this bearish in less than 2% of the time. Extreme pessimism is often a good starting point for being contrarian and betting on a rebound. In today's equity note we test whether history has shown that it is a good idea to bet on being long equities when bearishness is dominating market sentiment among individual investors.


Extreme pessimism is often fuel for a good rebound

The American Association of Individual Investors (AAII) asks their members every about their sentiment using the question ”I fell that the direction of the stock market over the next 6 months will be”. From these answers AAII compute the percentage of their members that answered this question in terms of bullish, neutral, or bearish. The spread between the percentages being bullish vs bearish declined today to -35.2% which is an extremely negative reading only observed in less than 2% of the time. The question is whether this statistics have any information value for traders and investors. While the question is examining expectation over a 6-month horizon, it is more interesting to observe whether it has any predictive power over a shorter time horizon.

AAII Bullish minus Bearish reading | Source: Bloomberg

First we identify all the weeks when the bull-bear spread has been lower than -30, which is 37 times since 1987. Three of these observations have been within the last 12 weeks. In our analysis we then calculate the forward 1, 4, 8, and 12-week return going long the S&P 500 Index if the spread is below -30. The table below shows the excess return over S&P 500 on such a strategy which is done by subtracting the average S&P 500 return since 1987 for these different time horizons. If a signal has any informational value then it should be able to beat the passive returns by just being invested in US equities.

The average excess return in percentage is -0.11% for the 1-week holding period but then jumps to 1.33% for the 4-week horizon and 1.29% and 1.49% for the 8-week and 12-week holding period respectively. This looks good at first sight, but the average always comes with variance and if we apply a standard t-test on the samples of each holding period scenario then we see that the probability of these different samples being statistically significant from zero excess return is not very high. The best test statistic is for the 4-week holding period at t = 1.28 which correspond to a p-value of 0.21, which is not statistically significant under normal circumstances. In a low signal-to-noise process such as the equity market the question is whether the odds are good enough to bet on. The confidence interval is -0.79% to 3.46% after all, so we let each trader decide for himself whether the odds are stacked in favour of a rebound. One should note that many of the most bearish readings are clustered in time which means that the 34 observations that we are calculating our statistics on are not truly independent and thus the statistical significance is weaker than the numbers displayed below suggest.

Outside the world of statistics, yesterday’s price action felt technical across both bond and equities as there was no real news driving the move. It seems the market might be positioning itself differently ahead of the important US CPI print on Tuesday where a lower than estimated inflation figure could ignite a short-term rally equities. These considerations are worth melting into the decision process of whether this is a good time to go long again.

Table over excess returns | Source: Saxo Group
Average excess return over different time horizons | Source: Saxo Group
T-tests over each time horizon | Source: Saxo Group

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