Over the past few months, I have written numerous articles about the increasing downside risk in the equity market. After the bottom fell out of the stock market last month, I have been particularly interested in examining the recession model results through August. Here they are.

The following article updates the diffusion index, recession slack index, aggregate recession model, and aggregate peak-trough model through August 2015. In January 2015, I created a new explanatory variable for a market-based indicator and I added another new explanatory variable in April 2015, and another in June 2015.

Each of the explanatory variables has predictive power individually; when combined together, the group of indicators is able to identify early recession warnings from a wide range of diverse market-based, fundamental, technical, and economic sources. The total number of explanatory recession model variables is now 21. The current and historical data in this report reflect the current model configuration with all 21 variables.

In July 2014, two new explanatory variables were added to the Trader Edge Recession Models and one explanatory variable was replaced. The swapped variables measured similar economic data, but the new series had more predictive power and was more forward-looking. For more information on the changes in July 2014, please see "Two New Improvements to Trader Edge Recession Models."

## Diffusion Index

The Trader Edge diffusion index equals the percentage of independent variables indicating a recession. With the additions, there are now a total of 21 explanatory variables, each with a unique look-back period and recession threshold. The resulting diffusion index and changes in the diffusion index are used to calculate the probit, logit, and neural network model forecasts.

The graph of the diffusion index from 1/1/2006 to 9/1/2015 is presented in Figure 1 below (in red - left axis). If you would like to view a graph of the earlier historical data (going back to 1960), please revisit A New Recession Slack Indicator. The gray shaded regions in Figure 1 below represent U.S. recessions as defined (after the fact) by the National Bureau of Economic Research (NBER). The value of the S&P 500 index is also included (in blue - right axis).

In December 2014, for the first time since late 2011-early 2012, *two* of the 21 explanatory variables simultaneously indicated a recessionary environment; two variables continued to indicate a recessionary environment in January 2015. The number of variables indicating a recession varied between zero and one from February through July, but jumped to three in August. Three out of 21 variables indicating a recession is not immediate cause for concern, but three more variables are currently less than 0.08 standard deviations above their respective recession thresholds. The diffusion index could have easily jumped to six instead, which would have been the highest diffusion index reading since the end of the Great Recession.

In non-recessionary environments, weakness tends to persist for a few months and then dissipates. However, if the weakness becomes more widespread or lingers for many months, that can be more problematic. The weakness in the diffusion index persisted for several months, declined to zero, but jumped to 3/21 again in August.

Please note that past estimates and index values will change whenever the historical data is revised. All current and past forecasts and index calculations are based on the latest revised data.

## Recession Slack Index

The Trader Edge recession slack index equals the median standardized deviation of the current value of the explanatory variables from their respective recession thresholds. The resulting value signifies the amount of slack or cushion relative to the recession threshold, expressed in terms of the number of standard deviations.

The gray shaded regions in Figure 2 below represent U.S. recessions as defined (after the fact) by the NBER. The median recession slack index is depicted in purple and is plotted against the right axis, which is expressed as the number of standard deviations above the recession threshold.

The dark-red, horizontal line at 0.50 standard deviations denotes a possible warning threshold for the recession slack index. Many of the past recessions began when the recession slack index crossed below 0.50. Similarly, many of the past recessions ended when the recession slack index crossed back above 0.0.

In mid-2014, the revised median recession slack index peaked at 1.31, far above the warning level of 0.50. The revised values of the recession slack index declined alarmingly to 0.63 in March 2015, perilously close to the early warning level of 0.50.* The value of 0.63 was the lowest value recorded since the end of the Great Recession*. The median recession slack index did bounce back to 0.90 in April and remained between 0.89 and 0.99 from April through July. The median recession slack index did drop to 0.87 in August, but I would have expected a larger drop given the increase in the diffusion index. The cushion above the warning level has shrunk considerably since mid-2014, but the slack index remains comfortably above its warning threshold.

The ability to track small variations and trend changes over time illustrates the advantage of monitoring the continuous recession slack index in addition to the diffusion index above, which moves in discrete steps.

While it is useful to track the actual recession slack index values directly, the values are also used to generate the more intuitive probit and logit probability forecasts.

## Aggregate Recession Probability Estimate

The Trader Edge aggregate recession model is the average of four models: the probit and logit models based on the diffusion index and the probit and logit models based on the recession slack index. The aggregate recession model estimates from 1/1/2006 to 09/01/2015 are depicted in Figure 3 below (red line - left vertical axis). The gray shaded regions represent NBER recessions and the blue line reflects the value of the S&P 500 index (right vertical axis). I suggest using a warning threshold of between 30-40% for the aggregate recession model (green horizontal line).

The aggregate recession model probability estimate for 09/01/2015 increased from 0.1% in July to 0.7% in August. According to the model, the probability that the U.S. is *currently* in a recession continues to be extremely remote.

## Aggregate Peak-Trough Probability Estimate

The peak-trough model forecasts are different from the recession model. The peak-trough models estimate the probability of the S&P 500 being between the peak and trough associated with an NBER recession. The S&P 500 typically peaks before recessions begin and bottoms out before recessions end. As a result, it is far more difficult for the peak-trough model to fit this data and the model forecasts have larger errors than the recession model.

The Trader Edge aggregate peak-trough model equals the weighted-average of nine different models: the probit and logit models based on the diffusion index, the probit and logit models based on the recession slack index, and five neural network models.

The aggregate peak-trough model estimates from 1/1/2006 to 09/01/2015 are depicted in Figure 4 below, which uses the same format as Figure 3, except that the shaded regions represent the periods between the peaks and troughs associated with NBER recessions.

The aggregate peak-trough model probability estimate for 09/01/2015 was 10.80%, which is up significantly from the revised value of 6.8% at the end of July. The peak-trough probability reached 10.6% in January and 11.5% in March. The current peak-trough probability estimate of 10.8% back in double digits, but is well below the early warning threshold of 30% to 40%. However, if the diffusion index had increased to 6/21 instead of 3/21, the aggregate peak trough model probability forecast would have been much higher.

## Conclusion

U.S. recession risk remains relatively low, but has increased since mid-2014. The big news this month is that the diffusion index jumped from 1/21 to 3/21, but could easily of jumped to 6/21. In March, the recession slack index dropped to its lowest level since the end of the Great Recession (0.63). It rebounded briefly to 0.99 in July, but fell back to 0.87 in August. The peak-trough recession probability estimate is back in double digits. All of the forecast values are well inside their respective warning thresholds.

Given the proximity of the diffusion index variables relative to their respective recession thresholds, the recession model forecasts over the next few months will be extremely important and instructive. Stay tuned.

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