# Cycle Stage Determination

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## Summary

• The US economic expansion is still in early-mid cycle stage.
• There is absolutely no recession in sight. Traders and investors should look to be long risk assets.
• I use two fundamentally different statistical approaches in order to ensure the robustness of the study.

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Business cycle stages illustration, Source: Hong Kong Monetary Authority

The current expansion and associated equity bull market has spanned for more than 9 years and the adage, “Bull markets/Expansions die of old age", is quite popular on Wall Street. My own research suggests expansions are murdered.

As the name of the article suggests, I will attempt to answer a question that is on everyone’s mind: Where are we in the business cycle? I will show that we are actually at worst in mid-cycle stage. In order to do this, I propose two statistical approaches that are fundamentally different. The first one is called K-Mean clustering and is explained in detail in the core of the article. It uses fundamental macroeconomic inputs. The second approach characterizes each cycle stage by a set of relationships using market derived inputs. As you will see, both methods, although fundamentally different given their respective inputs, lead us to the same conclusion. This highlights the robustness of the study.

### K-Mean clustering

If the cycle can be conceptually divided into 4 separate stages, then these stages ought to be partitioned into 4 separate clusters. The algorithm we will apply seeks to partition the data into separate clusters by maximizing the distance between the data points of two distinct clusters while minimizing the distance between the data points within an individual cluster. Distance here is defined by a Euclidian Norm, for two vectors:

The Set of coordinates in the chosen vector consists of Macro inputs that are conceptually and intuitively relevant to the determination of the debt and business cycles as they are broadly understood. We then compare the distance of current data to each cluster (by looking at the distance between our current set of data and the center or mean of each cluster) and choosing the one with the smallest distance in order to determine the current stage in the debt cycle.

Proprietary statistical work using IBM SPSS. Data Source: FRED

Overall predictor importance, Source: Proprietary work. Note: This is different from individual cluster ranking of variables

Click here for the model with all the sources and data. Statistical output done on IBM SPSS.

Thus, this analysis shows us that we are at worst only transitioning from mid to late and are still early stage by a lot of factors. A similar exercise with slightly different variables and settings is done by the HK-Monetary authority and ends up with similar conclusions.

### Regime characterization

The second approach involves characterizing late stage cycle dynamics by a set of relationships (defined as correlations here) between different asset classes that make sense given the description of what late stage cycle dynamics are supposed to be.

Data Source: FRED

If the color of the x day correlation matches that of the assets, then it means that we have entered late stage/near recession.

• We observe that all relationships had significantly worsened over the previous months to the point where it started looking that we were really going into late stage, but then all the relationships have materially corrected to go back to mid-stage dynamics outside of the Crude oil/S&P 500 link.
• Even the EM DXY link has been recovering lately.

Below is a description of each relationship and why it characterizes late stage business cycle.

Oil & TIPS implied inflation: Oil is normally a big driver of inflation expectation UNTIL the market thinks oil prices have gone overboard and will prompt the Fed to hike aggressively and thus lower LONG-term inflation expectations.

That is exactly what happened in 2008 where oil and TIPS moved in line until mid-2007 where oil kept going up and TIPS fell, Source: FRED

Oil & S&P 500: Similar reasoning to oil & TIPS.

US HY & Oil: US high yield contains a lot of energy issues that are positively correlated to oil. In late stage, however, high input prices and tightening margins hurt the credit quality of the rest of the high yield universe.

The GFC provides a clear example where the correlation was negative from 2003 to early/mid-2007 where HY spreads and oil started going up together. The GFC came 2 or 3 quarters later. Source: FRED

DXY, EM Spreads: In expansions, DXY and EM spreads are negatively correlated because investors engage in profitable carry trades and are happy to take on EM credit/currency risk. Any recovery in DXY is said to be part of broad US economy performance and tracked by even better EM performance. In the end, DXY goes up because of aggressive Fed hikes that prompt investors to disengage their carry trades and hurt EM credit.

Near the GFC, DXY kept going down while EM spreads started creeping up, even though DXY and EM spreads were positively linked for a few years before. Source: FRED

S&P 500, US HY: Until the bond market smells credit issues, S&P 500 and US HY spreads go in opposite directions. Similar reasoning to the one above.

Short duration credit, longer duration credit: Throughout the cycle both spreads are driven by credit metrics, but near the end, duration becomes a differentiating factor that leads the latter to rally because of long-term expectations of Fed easing while the former suffers from the comparison to high cash yields.

Example from the GFC: Although, eventually both spreads spiked to unprecedented levels given the severity of the GFC. Source: FRED

### Caveats:

On the first approach:

• There are structural differences between each cycle. My data includes all the cycles starting from 1967.
• The current cycle is the first one that benefited from Quantitative Easing. My rule of thumb is to add 100 bps of Term Premium to the yield curve. This would put us at an even earlier stage of the cycle by this very often cited metric. At the same time, the 60s-80s cycles employees still benefited from COLAs (Cost of living adjustments) that materially impacted average hourly earnings positively. In the current cost cutting world, AHE may be structurally limited no matter what u-u*, the employment gap, does as highlighted in the ongoing Philips curve discussion.
• I use NAIRU and U* as given by the Bureau, but there is a legitimate debate on these figures and evidence suggests there may be even more slack than is calculated here using GDP and Employment gaps.
• Inflation also could suffer from structural bottlenecks, i.e., the focus on cost cutting/discounting that reigns supreme today.

On the second approach:

• Our relationships can be highly volatile in times of market stress and over smaller durations.
• The relationships might be temporarily impacted by supply side or political events (crude oil/Iran lately for example).

The robustness of the combined results satisfy me in that they leave very little doubt: The US economy is not nearing a recession that could cause a prolonged bear market. This bodes well for all risk assets and not just US assets specifically. Investors should stay long for a bit longer assuming my conclusions are true. Next we have to determine which assets are the best, being an equity index trader, I will be sharing my thoughts on which indexes should outperform in future articles.