Political Calculations
Unexpectedly Intriguing!
12 March 2026

The S&P 500 (Index: SPX) has reverted back to its mean.

We can say that because the S&P 500 has experienced a relatively stable period of order since the end of the fourth quarter of 2023. We know that's the case because the variation of stock prices with respect to the mean trend curve established from the relationship between stock prices and their trailing year dividends per share can be generally described by a normal distribution.

That in itself is remarkable because stock prices are very much not normal, even when they behave in an orderly manner. When you map their variation onto a chart with zones that align with significant reference points for a normal bell curve from statistics, you'll find both too many points within one standard deviation of the mean and too many points outside the zones where they would be expected to be found 99.8% of the time if that variation was really normally distributed.

But that doesn't mean we can't use the tools built for doing statistical analysis to track an index like the S&P 500 when such a period of order exists in the stock market. The following chart deploys those tools and finds that as of the close of trading on 11 March 2026, the level of the S&P 500 is just a short distance from its central mean trendline. Which is to say the level of the S&P 500 has finally returned to its established mean after having run above it since early September 2025.

This is an almost textbook example of what "reverting to the mean" really means where stock prices are concerned.

But in case you're wondering what it means when stock prices move outside the outer limits described by this kind of analysis, where order really does break down (as opposed to simply being the result of statistical outliers in a continuing trend like what happened back in April 2025), the ultimate textbook example involves the ultimate sell signal.

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11 March 2026
A picture illustrating the concept of a revision to U.S. Census population estimates. Image generated by Microsoft Copilot Designer

Evidence has emerged to support our hypothesis that more robust immigration enforcement is a significant contributing factor to the increase in median household income in the U.S. since mid-2025.

Updated monthly population estimates were released last month, with the revisions covering the period from March 2020 through November 2025. From March 2020 through June 2021, most estimates were revised upward by very small amounts, but for each month from July 2021 onward, all estimates were revised downward. The magnitude of revisions start out very small, but increase in magnitude as the revisions draw closer the present.

The negative revisions show three notable shifts as they increase in magnitude. The first shift took place after June 2024 as the cumulative size of the negative revisions grew larger than 100,000. The second shift took place in February 2025 as the cumulative negative revisions surpassed 200,000. The third shift clocks from July 2025 with the size of the negative revisions growing from month to month.

The following chart visualizes the "before" and "after" population data for the period from January 2021 through November 2025 and with the newly reported population estimate for December 2025.

Estimated U.S. Resident Population, January 2020 - December 2025

The three shifts follow notable political events that would have a potential outsized effect on U.S. immigration. The first shift took place after President Joseph Biden's disastrous debate with then presidential candidate Donald Trump on 28 June 2024, which ultimately led to his withdrawal from the race several weeks later. This event cemented Donald Trump as the likely next U.S. President and since he campaigned strongly against the unrestricted immigration policies of the Biden administration, it would be reasonable for that event to have a small negative effect on immigrant flows into the U.S.

The second shift came after President Donald Trump was sworn into office on 20 January 2026 and began implementing his immigration control agenda. That change saw the negative revisions jump in the early months of the new Trump administration, which slowed going into summer.

The third shift starting from July 2025 is the most notable one and coincides with the period in which the Trump administration introduced its program to incentivize unlawful immigrants to self-deport from the U.S. with a cash payment and free travel to their home countries. This is the immigration-related policy we think had the biggest effect on median household income because it would be especially attractive to immigrants with very low incomes. The removal of large numbers of this portion of the work force would automatically lead to an increase in median household income with the increasing departures of the lowest income earners, which itself tracks from July 2025 onward.

Comparing November 2025's population estimate from the pre-revision level of 343,078,000 to the post-revision level of 342,439,000 underscores the magnitude of the revision as the estimated resident population of the U.S. dropped by 639,000. At the same time, since the previous population estimates were based on a model of population growth that was established during the Biden administration, it works as a counterfactual, or rather, a reasonable estimate of what the U.S. population would have been if not for the significant political events that altered both it and the nation's median household income.

References

U.S. Bureau of Economic Analysis. Table 2.6. Personal Income and Its Disposition, Monthly, Personal Income and Outlays, Not Seasonally Adjusted, Monthly, Middle of Month. Population. [Online Database (via Federal Reserve Economic Data)]. 20 February 2026.

Image Credit: Microsoft Copilot Designer. Prompt: "A picture illustrating the concept of a revision to U.S. Census population estimates". We're amazed at how well the result came out, which is remarkable considering how short the prompt was.

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10 March 2026
An editorial cartoon to illustrate the concept of a slowing job market for teenage Americans. Image generated by Microsoft Copilot Designer

U.S. teens seeking jobs are facing an uphill struggle.

Jobs for Americans between the ages of 16 and 19 continued their long downward trend in February 2026.

For younger teens, Age 16 and 17, that downward trend began in April 2022 when the percentage of that age demographic counted as being employed peaked at a seasonally-adjusted 25.6%. Through February 2026, that percentage has dropped to 21.0%.

Older teens, Age 18 and 19, have fared better, with their employment-to-population percentage peaking at 45.8% of their demographic in December 2025. Through February 2026, that statistic has fallen to 41.3%.

The following pair of charts presents the seasonally-adjusted data for both the number of teens employed in each of these age categories and also the U.S. teen employment-to-population ratio for the period from January 2021 through February 2026, .

U.S. Teen Employment and U.S. Teen Employment to Population Ratio, January 2021 through February 2026

The trend for younger teens is the most concerning. Over the period captured by these charts, many of the teens who were working at Age 16 and 17 in 2022 went on to become the working Age 18 and 19 teens, which helps explain why that demographic had its peak a little over two years later. Meanwhile, the teens who replaced them in the younger demographic are proving to be much less successful in finding jobs.

The recent downtrend for older teens may be developing in part because of the same demographic rollover, with the portion of the teen workforce who first entered the job market in 2022 now aging out into the next higher age category.

References

U.S. Bureau of Labor Statistics. Labor Force Statistics (Current Population Survey - CPS). [Online Database]. Accessed: 6 March 2026.

Image Credit: Microsoft Copilot Designer. Prompt: "An editorial cartoon to illustrate the concept of a slowing job market for teenage Americans", which we think is remarkable because Copilot loaded the depicted teen's cart with stereotypes for teen employment options.

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09 March 2026
An editorial cartoon of a Wall Street bull and bear in suits screaming at news ticker that says 'IRAN WAR'. Image generated with Microsoft Copilot Designer.

Geopolitical events dominated the first trading week of March 2026. The start of U.S. and Israeli military operations against Iran prompted a sharp rise in oil prices as Iran's military launched ballistic missile attacks against Persian Gulf nations and threatened shipping traffic through the strategic chokepoint of the Strait of Hormuz.

That escalation prompted marine insurers to cancel war risk coverage for oil container ships, which in turn, sharply reduced shipments of oil out of the Persian Gulf as shippers were unwilling to risk transiting the strait. The resulting new constraint on the 20% of global oil supply that is transported from the oil-rich nations of the Persian Gulf caused the global price of oil to jump over ten percent.

The increase in oil prices put central banks on notice to combat inflation. In the U.S., the prospects for additional interest rate cuts by the Federal Reserve during 2026 dimmed in response to the development. The CME Group's FedWatch Tool projects the Fed will delay an expected quarter point reduction in the Federal Funds Rate steady until 29 July (2026-Q3), six weeks later than what was anticipated a week earlier. The tool also projects another quarter point rate cut on 9 December (2026-Q4).

The effect on stock prices however was more muted. The S&P 500 (Index: SPX) declined 2.0% from its previous week's close to end the trading week at 6,740.02.

The latest update of the alternative futures chart shows the trajectory of the index is still within the redzone forecast range we introduced in the previous edition of the S&P 500 chaos series, but instead of being in the middle, it moved near the lower end of the range.

Alternative Futures - S&P 500 - 2026Q1 - Standard Model (m=-2.0 from 28 Apr 2025) - Snapshot on 6 Mar 2026

Although geopolitics delivered the week's biggest news, other news influenced investor expectations of the future as well. Here are the week's market-moving headlines:

Monday, 2 March 2026
Tuesday, 3 March 2026
Wednesday, 4 March 2026
Thursday, 5 March 2026
Friday, 6 March 2026

The Atlanta Fed's GDPNow tool forecast of real GDP growth in 2026-Q1 dropped to +2.1%, down from the +3.0% growth anticipated a week earlier.

Image credit: Microsoft Copilot Designer. Prompt: "An editorial cartoon of a Wall Street bull and bear in suits screaming at news ticker that says 'IRAN WAR'".

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06 March 2026

There's a big market for products like flea collars that address the needs of dog owners who want to prevent their pets from picking up fleas and ticks when they're outside. There's an even bigger market for dog clothing for pet owners who would like their dogs to make style statements.

What if there were an invention that combined these two product categories? In theory, the inventor behind such an invention could benefit by claiming a small share of both markets.

As it happens, there is such an invention, although its inventor didn't quite realize its full potential! In September 1963, inventor Seroun Kesh of Detroit, Michigan was awarded U.S. Patent 3,150,641 for his invention "Dust Cover For Dog". Here's a colorized depiction of the patent's illustrations:

U.S. Patent #,###,### Figure #

In the patent, Kesh describes the problems of pet owners he believed his innovation would solve:

It is well-known to animal lovers that dogs and cats harbor fleas and other pests and that the attempt to eradicate such pests oftentimes poses quite a problem. Efficient powders and sprays are now on the market for eliminating these pests, but their effective application and retention leaves much to be desired.

It is therefore an object of this invention to provide a device, which will greatly assist the animal owner, in the effective application and retention of such pesticides on the animal, for a period of time sufficient to do the work required.

Another object of the invention is to provide an animal covering of the character indicated, which will protect the clothing, rugs, furniture of the owner from damage, while the animal is being treated for fleas and the like.

If you look at the patent illustrations, it's pretty clear Kesh has not invented a dust cover for a dog so much as a full body suit for a canine companion. One that could not only be used for his stated purpose of keeping flea powder off the pet owner's furnishings, but could also work like a raincoat in keeping water and dirt off the dog, or even block fleas and ticks from being able to latch onto the dog. Add a fashionable pattern to the dog's body suit and the potential to make bank from the inventions was certainly in place, as a simple search for dog bodysuits on Amazon makes clear!

Including the flea suits and recovery suits for dogs, which are reasonably priced in today's market. Kesh's basic concept for his invention is a proven success.

That success includes another capability of the invention described in the patent. That strange tube on the dog's back near the tail has a specific function:

Another object of the invention is to provide a device of the character indicated, which is constructed and arranged, so that it may be used to help rapidly dry the animal's fur after a bath, by the simple expedient of attaching thereto the hot air exhaust end of a hair dryer device, whereby to permit the hot air to reach all parts of the animal's body.

That aspect of the invention can be found in today's dog drying bag, which works just like Kesh's concept.

It's not often the IIE team comes across an invention that, at first glance, appears to be destined for the annals of odd and unsuccessful inventions, but which after a bit of shopping research, we find is genuinely successful and is the inspiration for many products available in today's marketplace. The Doggy Dust Cover, and its modern descendants, is a rare exception to the rule!

Inventions in Everything: The Archives

The IIE team has gone to the dogs before, but only for just a handful of inventions. Here's that short list!

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About Political Calculations

Welcome to the blogosphere's toolchest! Here, unlike other blogs dedicated to analyzing current events, we create easy-to-use, simple tools to do the math related to them so you can get in on the action too! If you would like to learn more about these tools, or if you would like to contribute ideas to develop for this blog, please e-mail us at:

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