We continue tracking the evolution of the S&P 500 and our prediction made in the beginning of 2009 for the next six years. Since March 2009, the prediction fits the observed S&P 500 with minor deviations likely related to the emotion component of the stock market.

However, the trend and its turn in May 2010 were forecasted precisely. All in all, fifteen months in a row we are right and do not see any source which may disturb our prediction for the period between June 2010 and 2014. The prediction was documented in a working paper (S&P 500 returns revisited) and several posts on Seeking Alpha.

The original model links the S&P 500 annual returns, *R _{p}(t), *to the number of nine-year-olds, N

_{9}. To obtain a prediction we use the number of three-year-olds, N

_{3}, as a proxy to N

_{9}at a six-year horizon:

*R _{p}(t+6) = 100dlnN_{3}(t) - 0.23*

where *R _{p}(t+6)*is the S&P 500 return at a six-year horizon. Because of the properties of the N

_{3}distribution, one can replace it with linear trends for the period between 2008 and 2011, as Figure 1 shows. The model shown in Figure 1 predicts that the S&P 500 stock market index will be gradually decreasing at an average rate of 37 points per month. (Correction from the previous post where 46 points per months was used by mistake.) In June, actual closing level was 1040 (-50 relative to May 2010). This level is about 80 points below that predicted in Figure 1. This is the continuation of May’s panic. Such a dynamic "overshoot" in the beginning of a new trend is a common feature.

*Figure 1. Observed S&P 500 monthly close level and the trend predicted from the number of nine-year-olds. The slope is of -37 points per month. The same but positive slope was observed between February 2009 and April 2010. *

The deviation from the new trend is a big one and one can expect the end of panic in July/August 2010. This is a nice feature of the trend. Any deviation, whatever amplitude it has, must return to the trend. So, by the past experience, we may judge that 80 points should be compensated quickly. This means that the level of S&P 500 should not change much in July and August 2010. We would expect the close level between 1020 and 1050 in July 2010.

Then, the index will continue gradual decrease into 2011. Figure 2 demonstrates that the S&P 500 annual return will sink below zero in the third-fourth quarter of 2010.

*Figure 2. Observed and predicted S&P 500 returns. *

**Disclosure: **No positions