The following article updates the diffusion index, recession slack index, aggregate recession model, and aggregate peak-trough model through April 2016. Throughout 2015, I added a number of new economic and market-based variables with very strong explanatory power to the recession model. This allowed me to cull three of the original independent variables with the weakest historical performance and most questionable cause and effect recessionary influence. I added one new variable with surprisingly strong explanatory power at the end of February 2016. The current 21-variable model has a diverse set of explanatory variables and is quite robust.

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. After the latest additions and deletions, 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.

## Diffusion Index

The Trader Edge diffusion index equals the percentage of independent variables indicating a recession. With the recent changes, 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 05/1/2016 is presented in Figure 1 below (in red - left axis). 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 December 2012, *one* of the 21 explanatory variables indicated a recessionary environment. The number of variables indicating a recession varied between one and two from December 2014 through July 2015 and between *two* and *three* from July 2015 through November 2015. The number of variables indicating a recession jumped from *three* in November, to *six* in December, to *eight* in January 2016 and remained at eight in February. In response to the robust market environment that followed, the number of explanatory variables indicating a recession dropped to four (19.0%) in March and two (9.5%) in April.

As I have explained before, several of the explanatory variables are market-based. These variables respond very quickly to changing market conditions and are never revised. This makes the Trader Edge recession model much more responsive than other recession models. The sharp rebound in the price of risk-assets in the past two months improved the U.S. economic outlook, which significantly reduced the risk of an imminent U.S. recession.

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 from the current data set.

Figure 1: Diffusion Index 05-01-2016

## 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 1.18, far above the warning level of 0.50. The revised values of the recession slack index declined alarmingly to 0.70 in March 2015, approaching the early warning level of 0.50. The median recession slack index rebounded slightly April through July 2015, but dropped throughout the remainder of 2015. In December 2015, the slack index declined to 0.54 and fell even more sharply to 0.38 in January and 0.31 in February, penetrating the warning level of 0.50 for the first time since the Great Recession. The slack index bounced back to 0.58 in March and 0.71 in April.

The latest value of 0.71 is still well below the average slack index value since the end of the Great Recession (+1.00). The value of 0.71 also remains only marginally above the early warning threshold of 0.50. While recession risk has mitigated, the U.S. economy remains weak.

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.

Figure 2: Median Recession Slack Index 05-01-2016

## 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 05/01/2016 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 20-30% for the aggregate recession model (green horizontal line).

The aggregate recession model probability estimate for 05/01/2016 decreased from 0.9% in March 2016 to only 0.1% in April 2016. According to the model, the probability that the U.S. is *currently* in a recession is insignificant.

Figure 3: Aggregate Recession Model 05-01-2016

## 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 5/01/2016 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 05/01/2016 was 5.6%, which is down materially from the revised value of 13.3% at the end of March 2016. The reduction in recession risk reflects the further decline in the diffusion index from 19.0% to 9.5%.

Figure 3: Aggregate Peak-Trough Model 05-01-2016

## Conclusion

January and February 2016 marked a potential tipping point in U.S. recession risk, but that risk declined significantly in March and April.

The use of several market-based indicators makes the Trader Edge recession model more responsive than many other models. Relative to traditional economic variables, market-based data have important advantages: they are highly predictive, they are never restated, and there is no lag in receiving the data. The market-based variables improved in March and again in April. Interestingly, there was some deterioration in several of the leading economic indicators.

The latest median recession slack index value of 0.71 is stronger than last month, but is still close to the early warning threshold. The large rebound in the price of risk-assets in March and April is encouraging and positively influence several explanatory variables again last month. Nevertheless, two out of 21 explanatory variables are still indicating a U.S. recession.

Given that the equity market was significantly overvalued entering this period and the fact that year-over-year corporate earnings have declined for four consecutive quarters, the downside risk in the equity markets is still significant.

Unlike human prognosticators, the Trader Edge recession model is completely objective and has no ego. It is not burdened by the emotional need to defend past erroneous forecasts and will always accurately apply the insights gained from new data. As a result, if economic and market conditions continue to improve over the next few months, the recession probabilities will continue to drop accordingly. Conversely, if the contagion returns and spreads to the remaining explanatory variables, the recession model will objectively quantify the increased recession risk. Stay tuned.

## Print and Kindle Versions of Brian Johnson's 2nd Book are Available on Amazon (75% 5-Star Reviews)

*Exploiting Earnings Volatility: An Innovative New Approach to Evaluating, Optimizing, and Trading Option Strategies to Profit from Earnings Announcements*.

## Print and Kindle Versions of Brian Johnson's 1st Book are Available on Amazon (79% 5-Star Reviews)

*Option Strategy Risk / Return Ratios: A Revolutionary New Approach to Optimizing, Adjusting, and Trading Any Option Income Strategy*

## Feedback

Your comments, feedback, and questions are always welcome and appreciated. Please use the comment section at the bottom of this page or send me an email.

## Referrals

If you found the information on www.TraderEdge.Net helpful, please pass along the link to your friends and colleagues or share the link with your social or professional networks.

The "Share / Save" button below contains links to all major social and professional networks. If you do not see your network listed, use the down-arrow to access the entire list of networking sites.

Thank you for your support.

Brian Johnson

Copyright 2016 - Trading Insights, LLC - All Rights Reserved.

## Recession Model Forecast: 05-01-2016

The following article updates the diffusion index, recession slack index, aggregate recession model, and aggregate peak-trough model through April 2016. Throughout 2015, I added a number of new economic and market-based variables with very strong explanatory power to the recession model. This allowed me to cull three of the original independent variables with the weakest historical performance and most questionable cause and effect recessionary influence. I added one new variable with surprisingly strong explanatory power at the end of February 2016. The current 21-variable model has a diverse set of explanatory variables and is quite robust.

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. After the latest additions and deletions, the total number of explanatory recession model variables is now 21. The current

andhistorical data in this report reflect the current model configuration with all 21 variables.## Diffusion Index

The Trader Edge diffusion index equals the percentage of independent variables indicating a recession. With the recent changes, 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 05/1/2016 is presented in Figure 1 below (in red - left axis). 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 December 2012,

oneof the 21 explanatory variables indicated a recessionary environment. The number of variables indicating a recession varied between one and two from December 2014 through July 2015 and betweentwoandthreefrom July 2015 through November 2015. The number of variables indicating a recession jumped fromthreein November, tosixin December, toeightin January 2016 and remained at eight in February. In response to the robust market environment that followed, the number of explanatory variables indicating a recession dropped to four (19.0%) in March and two (9.5%) in April.As I have explained before, several of the explanatory variables are market-based. These variables respond very quickly to changing market conditions and are never revised. This makes the Trader Edge recession model much more responsive than other recession models. The sharp rebound in the price of risk-assets in the past two months improved the U.S. economic outlook, which significantly reduced the risk of an imminent U.S. recession.

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 from the current data set.

Figure 1: Diffusion Index 05-01-2016

## 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 1.18, far above the warning level of 0.50. The revised values of the recession slack index declined alarmingly to 0.70 in March 2015, approaching the early warning level of 0.50. The median recession slack index rebounded slightly April through July 2015, but dropped throughout the remainder of 2015. In December 2015, the slack index declined to 0.54 and fell even more sharply to 0.38 in January and 0.31 in February, penetrating the warning level of 0.50 for the first time since the Great Recession. The slack index bounced back to 0.58 in March and 0.71 in April.

The latest value of 0.71 is still well below the average slack index value since the end of the Great Recession (+1.00). The value of 0.71 also remains only marginally above the early warning threshold of 0.50. While recession risk has mitigated, the U.S. economy remains weak.

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.

Figure 2: Median Recession Slack Index 05-01-2016

## 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 05/01/2016 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 20-30% for the aggregate recession model (green horizontal line).

The aggregate recession model probability estimate for 05/01/2016 decreased from 0.9% in March 2016 to only 0.1% in April 2016. According to the model, the probability that the U.S. is

currentlyin a recession is insignificant.Figure 3: Aggregate Recession Model 05-01-2016

## 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 5/01/2016 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 05/01/2016 was 5.6%, which is down materially from the revised value of 13.3% at the end of March 2016. The reduction in recession risk reflects the further decline in the diffusion index from 19.0% to 9.5%.

Figure 3: Aggregate Peak-Trough Model 05-01-2016

## Conclusion

January and February 2016 marked a potential tipping point in U.S. recession risk, but that risk declined significantly in March and April.

The use of several market-based indicators makes the Trader Edge recession model more responsive than many other models. Relative to traditional economic variables, market-based data have important advantages: they are highly predictive, they are never restated, and there is no lag in receiving the data. The market-based variables improved in March and again in April. Interestingly, there was some deterioration in several of the leading economic indicators.

The latest median recession slack index value of 0.71 is stronger than last month, but is still close to the early warning threshold. The large rebound in the price of risk-assets in March and April is encouraging and positively influence several explanatory variables again last month. Nevertheless, two out of 21 explanatory variables are still indicating a U.S. recession.

Given that the equity market was significantly overvalued entering this period and the fact that year-over-year corporate earnings have declined for four consecutive quarters, the downside risk in the equity markets is still significant.

Unlike human prognosticators, the Trader Edge recession model is completely objective and has no ego. It is not burdened by the emotional need to defend past erroneous forecasts and will always accurately apply the insights gained from new data. As a result, if economic and market conditions continue to improve over the next few months, the recession probabilities will continue to drop accordingly. Conversely, if the contagion returns and spreads to the remaining explanatory variables, the recession model will objectively quantify the increased recession risk. Stay tuned.

## Print and Kindle Versions of Brian Johnson's 2nd Book are Available on Amazon (75% 5-Star Reviews)

Exploiting Earnings Volatility: An Innovative New Approach to Evaluating, Optimizing, and Trading Option Strategies to Profit from Earnings Announcements.## Print and Kindle Versions of Brian Johnson's 1st Book are Available on Amazon (79% 5-Star Reviews)

Option Strategy Risk / Return Ratios: A Revolutionary New Approach to Optimizing, Adjusting, and Trading Any Option Income Strategy## Feedback

Your comments, feedback, and questions are always welcome and appreciated. Please use the comment section at the bottom of this page or send me an email.

## Referrals

If you found the information on www.TraderEdge.Net helpful, please pass along the link to your friends and colleagues or share the link with your social or professional networks.

The "Share / Save" button below contains links to all major social and professional networks. If you do not see your network listed, use the down-arrow to access the entire list of networking sites.

Thank you for your support.

Brian Johnson

Copyright 2016 - Trading Insights, LLC - All Rights Reserved.

## About Brian Johnson

I have been an investment professional for over 30 years. I worked as a fixed income portfolio manager, personally managing over $13 billion in assets for institutional clients. I was also the President of a financial consulting and software development firm, developing artificial intelligence based forecasting and risk management systems for institutional investment managers. I am now a full-time proprietary trader in options, futures, stocks, and ETFs using both algorithmic and discretionary trading strategies. In addition to my professional investment experience, I designed and taught courses in financial derivatives for both MBA and undergraduate business programs on a part-time basis for a number of years.