Political Calculations
Unexpectedly Intriguing!
01 June 2026
An editorial cartoon of a suit wearing Wall Street bull who is happy the S&P 500 has hit a new high and a bear who is reading a newspaper that says 'STOCKS UP ON MIDDLE EAST DEAL HOPES' and asks 'HOW MANY DAYS CAN STOCKS BE UP ON THE SAME HEADLINE?' Image generated with Microsoft Copilot Designer.

Over the final trading week of May 2026, the S&P 500 (Index: SPX) rose 1.4% over its previous week's close to reach 7,580.06, a new record high for the index.

According to news headlines, it did so because of hopes of realizing a Middle East peace deal that might reopen the Hormuz Strait to oil shipping and because of strong earnings among technology companies whose products have become in high demand to build out the infrastructure to support Artificial Intelligence (AI) systems.

But we can't help noticing that these are variations of the same headlines that have accompanied the rise of the S&P 500 over much of the last two months. Can the prospect of a negotiated end to the Iran war geopolitical event still be powering stock prices higher? At what point are the expectations associated with a Middle East peace deal fully priced into the market? Especially when the proverbial can for actually reaching a deal to satisfactorily end the conflict keeps getting kicked down the road?

The real story is the outlook for both earnings and dividends has improved substantially throughout the past two months as the conflict's cease fire has held. These positive changes are the main drivers behind the rise in stock prices and they have benefited stock prices in two ways:

  • They reversed the negative momentum that had sent stock prices substantially lower from the end of February through the end of March 2026.
  • As affected firms have progressively reported the associated improvement in their outlooks, stock prices have continued rising, even though no deal has yet been reached.

That's a state of affairs that could change quickly and negatively if the cease fire breaks down, but short of the announcement of a deal that definitively ends the conflict, there's little room left for stock prices to rise more on these headlines with 2026-Q2's earnings season mostly having come and gone.

Meanwhile, the progress of AI technologies and the massive investments being made to advance them continues to be *the* market moving story of the year. There's a strong argument to be made the development is a modern day analog of the 19th century's boom in railroads. The booming earnings of companies whose products have become essential to the rapid, widespread adoption of AI technologies have been key in powering stock prices higher.

Speaking of which, the latest update of the alternative futures chart shows we have come to the end of the redzone forecast range we added in late February. The S&P 500's trajectory has shifted in the last few days away from the trajectory associated with investors focusing mainly on 2026-Q2 in setting stock prices to the more distant future quarter of 2026-Q4.

Alternative Futures - S&P 500 - 2026Q2 - Standard Model (m=-2.0 from 28 Apr 2025) - Snapshot on 29 May 2026

Although this is a relatively small change, the shift in how far forward in time investors are focusing their attention represents a Lévy flight event.

That timing is interesting because it coincides with a growing expectation of when the Fed might act to next change U.S. interest rates. The CME Group's FedWatch Tool pushed back the expected timing of a quarter point increase in the Federal Funds Rate to 9 December (2026-Q4), six weeks later than it had projected on Friday, 22 May 2026. Beyond that hike, the FedWatch tool no longer anticipates the Fed will hold the Federal Funds Rate at a target rate of 3.75-4.00% through all of 2027.

But there's a bigger question that now needs to be asked. Since the S&P 500 bottomed on 30 March 2026, has the index risen too far too fast? We'll take that question on in the very near future.

Meanwhile, how long investor expectations might hold depends upon the random onset of new information. Here are the market moving headlines that affected investor outlooks for stock prices in the Memorial Day holiday-shortened trading week.

Tuesday, 26 May 2026
Wednesday, 27 May 2026
Thursday, 28 May 2026
Friday, 29 May 2026

The Atlanta Fed's GDPNow toolestimate of real GDP growth for the U.S. economy in the current quarter of 2026-Q2 decreased to +3.8%, falling back from the +4.3% it projected a week earlier.

Image credit: Microsoft Copilot Designer. Prompt: "An editorial cartoon of a suit wearing Wall Street bull who is happy the S&P 500 has hit a new high and a bear who is reading a newspaper that says 'STOCKS UP ON MIDDLE EAST DEAL HOPES' and asks 'HOW MANY DAYS CAN STOCKS BE UP ON THE SAME HEADLINE?'"

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29 May 2026
Texture of an iced leaf image by Daniela deGol on Wikimedia Commons - https://upload.wikimedia.org/wikipedia/commons/thumb/0/04/Leaves_textures.jpg/960px-Leaves_textures.jpg

There are quite a few famous unsolved problems in mathematics. Some are so famous they have million dollar bounties on them that will be paid out to the first mathematicians who definitively either prove or disprove them.

And then there are other important conjectures out there that, in addition to academic recognition, might pay smaller rewards to the people who crack them. But which if they are cracked, can be even more valuable if they can successfully be put to use.

One of those smaller conjectures is the Talagrand Convexity Conjecture. Proposed by French mathematician Michael Talagrand in 1995, Talagrand famously offered a $2,000 prize to anyone who solved it. Here is Jules Aknin's simplified description of the conjecture:

Talagrand’s convexity conjecture is a statement about high‑dimensional geometry: even in enormous, messy clouds of points, simple convex shapes are guaranteed to appear. In other words, no matter how chaotic the configuration looks, there is unavoidable structure hiding inside it.

If such structures are truly unavoidable, they can open the door to practical applications, including in financial markets. Aknin describes how they might contribute to finding order within chaos:

At a deeper level, results like this sit exactly at the intersection of geometry and probability. They don’t just create “pretty shapes” in higher dimensions, they show how structure emerges inside high‑dimensional random systems, which is the same conceptual problem we face when building models for complex datasets. In fact, as the original article notes, this kind of unification between geometric and probabilistic thinking could eventually influence how machines process high‑dimensional data and how we design algorithms that operate in those spaces.

[...]

On the surface, a high‑dimensional cloud of points in geometry and the Australian equity market do not look related. But in practice, we deal with a very similar object every day: hundreds of stocks, multiple time horizons, momentum profiles, risk factors, macro shocks and behavioural flows all interacting at once.

From a distance, that system may appear as pure noise. Talagrand’s result reinforces an idea that systematic managers have believed for a long time: structure is not optional, it is inevitable; the real question is whether you have the tools and discipline to find it.

Even though it doesn't carry the million-dollar prize of mathematics most famous unsolved problems, the stakes for those who can successfully build on the proven conjecture are still very high. That work is quite possibly worth a lot more than Talagrand's two-thousand dollar prize for the proof itself.

A team of three mathematicians stand to collect Talagrand's $2,000. Merrick Hua, Antoine Song, and Stefan Tudose posted a preprint paper of their proof on 11 May 2026, in which they converted the problem from one involving geometry to one involving probability and combinatorics. Like many math stories this year, AI is involved, but unlike those other stories, it's only a bit player.

The new proof was worked out by Dongming Hua and Antoine Song from the California Institute of Technology, and Stefan Tudose from Princeton University, who joined the other authors after hearing about their work. Together, the mathematicians reformulated Talagrand's geometric conjecture to a problem of probability theory and random vectors. In their paper published on the arXiv preprint server, they proved an equivalent conjecture for probability, showing that any 1-subgaussian random vector in n dimensions can be expressed as the sum of three standard Gaussian random vectors.

This result solves Talagrand's convexity problem, proving that for any large enough set in Gaussian space, a convex set of significant measures can be found inside a triple sum of the original set. The solution also confirms a combinatorial analog of the problem, which is important for discrete mathematics.

Initially, Song and Hua say they attempted to work out a solution with the help of ChatGPT. However, while the LLM helped to answer some of their questions and move them closer to a solution, it was Tudose who provided the final proof. Ultimately, the team did not use the work done with ChatGPT. In their paper, the team writes that Tudose's proof was "more general and conceptual."

It's a remarkable achievement. It is also a harbinger of the kind of role AI will find as just another tool used by people.

Image credit: Texture of an iced leaf image by Daniela deGol on Wikimedia Commons. Creative Commons CC By 4.0 Attribution 4.0 International Deed.

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28 May 2026
High angle shot of suburban neighborhood photo by David McBee on Pexels - https://www.pexels.com/photo/high-angle-shot-of-suburban-neighborhood-1546168/

The U.S. new home market has largely recovered from the disruption of January 2026's blizzards. Unfortunately, rising mortgage rates combined with an uptick in the average sale price of new homes to reduce the quantity of sales. This combination of factors resulted in the total valuation of new homes sold in April 2026 to decline below the levels recorded a month earlier.

Political Calculations' initial estimate of the total value of new home sales in the United States during April 2026 is $28.30 billion. This value is slightly higher than the initial estimate of $28.24 billion for March 2026, but has declined from a revised value of $28.43 billion for the month.

The number of new home sales continues to hold relatively steady. The initial estimate of the annualized trailing twelve month average of the total number of new home sales for April 2026 is 665,000. This value falls below the range of 671,000 and 684,000 that had held since January 2024.

The initial estimate of the trailing twelve month average of a new home sold in April 2026 is $521,300. New home prices have generally rising since bottoming at $502,525 in September 2024. The average remains below the peak of $529,692 recorded for June 2022 at the height of the high inflation unleashed by the Biden administration.

All these figures represent time-shifted, partial trailing twelve month averages for each data series, which will be subject to revision for the next ten months before being finalized. The following charts present the U.S. new home market capitalization, the number of new home sales, and their average sale prices as measured by their time-shifted, trailing twelve month averages from January 1976 through April 2026.

Trailing Twelve Month Average New Home Sales Market Capitalization in the United States, January 1976 - April 2026

Declining trend for new home sales:

Trailing Twelve Month Average of the Annualized Number of New Homes Sold in the U.S., January 1976 - April 2026

Rising trend for new home prices:

Trailing Twelve Month Average of the Mean Sale Price of New Homes Sold in the U.S., January 1976 - April 2026

New home sales were reported to have surged in March as prices fell to a five-year low, but much of this boost in sales may represent a springback from the impact of blizzards in much of the U.S. in January 2026 that shrank sales far below expectations.

Bloomberg confirms the April 2026 sales slump for new homes was not expected:

Sales of new US homes declined in April by more than forecast as builder incentives failed to motivate potential buyers at the start of the spring selling season.

Purchases of new single-family homes decreased 6.2% from March to a 622,000 annualized pace, according to government data released Thursday. Economists expected a 660,000 rate, based on the median estimate in a Bloomberg survey.

It would seem the springback in sales from January 2026's blizzards was truly that and not the start of an upward trend.

References

U.S. Census Bureau. New Residential Sales Historical Data. Houses Sold. [Excel Spreadsheet]. Accessed 28 May 2026. 

U.S. Census Bureau. New Residential Sales Historical Data. Median and Average Sale Price of Houses Sold. [Excel Spreadsheet]. Accessed 28 May 2026. 

Image Credit: High angle shot of suburban neighborhood photo by David McBee on Pexels.

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27 May 2026
A logo to feature 'Thanksgiving Leftover Stocks'. Image generated by Microsoft Copilot Designer

Six months and two earnings seasons have come and gone since Thanksgiving 2025 when we were introduced to the worst performing stocks of the S&P 500 (Index: INX). How many of those 10 stocks have seen their fortunes improve and how many are proving to be an even bigger investment turkey than they appeared on the day after last Thanksgiving?

Let's cut to the chase! Here are the relative winners as measured by the percentage of their stock price recorded value on 28 November 2025:

  • Dow Inc. (NYSE: DOW) - 148.1%.
  • Deckers Outdoor (NYSE: DECK) - 126.6%.
  • Molina Healthcare (NYSE: MOH) - 118.9%.

The stock price of these S&P 500 component companies are all higher than they were on 28 November 2026 and are also beating the S&P 500's growth, which has risen to 109.8% of its day-after-Thanksgiving-Day-2025 level. What each of these companies have in common is improved business performance combined with an improved outlook for their earnings.

Meanwhile, all seven of the other Thanksgiving Leftover stocks have experienced continuing declines in their stock prices. Here they are, ranked from best-to-worst performing over the past six months:

  • Chipotle Mexican Grill (NYSE: CMG) - 93.6%
  • Fiserv (NASDAQ: FISV) - 90.5%
  • Alexandria Real Estate Equities (NYSE: ARE) - 90.3%
  • Factset Research Systems (NYSE: FDS) - 83.3%
  • Lululemon Athletica (NASDAQ: LULU) - 69.1%
  • Gartner (NYSE: IT) - 67.8%
  • Trade Desk (NASDAQ: TTD) - 56.1%

The following spaghetti chart shows how each performed throughout the last six months:

Ten Thanksgiving Leftover Stocks (2025), Percentage of Their Value on 28 November 2025, Snapshot on 26 May 2026

Since our last update, Lululemon Athletica (NASDAQ: LULU) has taken the most negative turn for the worse. The athletic apparel company is struggling to sell its mostly foreign-made clothing line in the U.S. after hiking prices to cover the cost of new tariffs. But higher costs are not the "athleisure" clothing company's biggest problem. Its latest products have been on the wrong side of fashion trends as it faces increased competition.

If that weren't enough, the company's top management is involved in war of words with Chip Wilson, the company's founder, who criticized them for losing the company's "cool" factor.

TLDR: Poorly managed Lululemon has become costly and unfashionable with few indications that will change anytime soon, sending its stock price even lower.

Breaking away from the ongoing drama of a failing business, the next chart reveals how the performance of the Thanksgiving 2025 Leftover stocks compares as a group with the S&P 500 index, both as a market-cap weighted index and as an equal-weighted index.

Thanksgiving Leftover Stocks (2025), Market-Cap Weighted Index vs Equal-Weighted Index vs S&P 500 Index, Percentage of Their Value on 28 November 2025, Snapshot on 26 May 2026

By both grouping methods, the Thanksgiving Leftover stocks are substantially underperforming the S&P 500 index.

Compared to a month ago, the equal-weighted group is close to the same, but the market-cap weighted group is worse off. If you went double-or-nothing in betting whether the Thanksgiving Leftover stocks were going to be doing better or worse than they were a month ago, we'd have to give the edge to worse this month.

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26 May 2026
An editorial cartoon of a Wall Street bull and bear who are at Indianapolis watching cars labeled 'Dow', 'SP 500', and 'NASDAQ' race around the track. Image generated with Microsoft Copilot Designer.

The S&P 500 (Index: SPX) rose 0.8% above its previous week's close to end the trading week at 7,473.45 on Friday, 22 May 2026 as investors went into the Memorial Day holiday weekend.

In doing so, the index confirmed that stock prices have fully recovered from the Iran war impact. We find the trajectory of the S&P 500 falls very close to the central trend line of the redzone forecast range we added to the alternative futures chart back on 23 February 2026, several days ahead of when the geopolitical event began. For us, that timing has been fortunate because the redzone forecast range has been able to function as a counterfactual projection of how the S&P 500 would have changed if the Iran war geopolitical event had never happened.

So for the trajectory of stock prices to fall so neatly near the middle of that forecast range now that we're coming to its end is a strong confirmation the negative shock of the geopolitical event upon them has fully waned. Here is the latest update of the alternative futures chart that shows that outcome:

Alternative Futures - S&P 500 - 2026Q2 - Standard Model (m=-2.0 from 28 Apr 2025) - Snapshot on 22 May 2026

The redzone forecast range is based on the assumption investors would primarily focus on 2026-Q2 in making the decisions that set the trajectory of stock prices throughout its run. The Iran War geopolitical event didn't alter that focus throughout this period, but rather, added noise on top of the signal provided by the dividend futures-based model we use to forecast the S&P 500's future.

There are other factors that affect both the signal and noise investors consider in their decision making, which is provided from the random onset of new information. Here are the past week's market-moving headlines.

Monday, 18 May 2026
Tuesday, 19 May 2026
Wednesday, 20 May 2026
Thursday, 21 May 2026
Friday, 22 May 2026

The CME Group's FedWatch Tool moved up the expected timing of a quarter point increase in the Federal Funds Rate to 28 October (2026-Q4). The FedWatch tool also now anticipates another quarter point rate hike will come on 28 April (2027-Q2), with a strong probability its timing could also move earlier.

The Atlanta Fed's GDPNow toolestimate of real GDP growth for the U.S. economy in the current quarter of 2026-Q2 increased to +4.3%, up from the +4.0% it projected a week earlier.

Image credit: Microsoft Copilot Designer. Prompt: "An editorial cartoon of a Wall Street bull and bear who are at Indianapolis watching cars labeled 'Dow', 'SP 500', and 'NASDAQ' race around the track".

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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:

ironman at politicalcalculations

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