Political Calculations
Unexpectedly Intriguing!
07 August 2026

Some inventions are so old that we don't know the names of their inventors. Handaxes made from stone. The bow and arrow. Bricks. The wheel.

Well, maybe not the wheel, because we do know the name of its inventor! The wheel was invented by John Keogh, who was awarded Australian Innovation Patent 2001100012 for its invention in May 2001.

We're not making this up! Here's a colorized version of Figure 2 from the patent, which clearly depicts Keogh's innovation:

Australian Innovation Patent 2001100012 Figure 2

Here is the portion of the Keogh's patent that describes his invention, which certainly matches what we've come to know as the wheel:

The invention relates to a device for facilitating transport of goods and persons. In particular, the device relates to a circular object which enables such goods and persons to be held above a surface and simultaneously moved with respect to the surface approximately parallel thereto.

The background of the invention describes the problem Keogh's wheel solves:

In the past, transportation of goods and persons has been conducted in a number of ways. The predominant means has been transport of persons on foot, and carrying thereby of goods requiring transport.

Other means of transport have included, in colder climates, skis, sleds, toboggans and the like, which slide over a smooth (low coefficient of friction) surface such as ice or snow, thus transporting the person and/or goods. These modes of transport have the advantage that when travelling down a sloped surface, free movement, that is, unassisted forward motion, is possible. The user is only required to apply effort to cause movement when travelling uphill or on a substantially flat plane, and this reduced effort helps the user move to the desired destination more quickly and more easily.

Unfortunately, such smooth surfaces for sliding over are not generally available in warmer climates where snow and ice do not form naturally. As such, and in the absence of alternatives, foot transport may be required. It would be useful if a device was available which enabled such unassisted forward motion on downhill slopes on surfaces having a much higher coefficient of friction than snow or ice.

It's hard to believe that such a useful device has only existed as a patented invention since May 2001. But if you've made it this far, you're probably thinking there's something more to this story than the invention of the wheel.

You would be right! Matthew Rimmer's 2025 book Sub-patent Innovation Rights: Utility Models, Petty Patents and Innovation Patents Around the World tells the real story behind Keogh's successfully patented invention:

In 2001, a patent attorney called John Keogh was issued an innovation patent by IP Australia for a ‘circular transportation facilitation device’. There were also patent claims relating to rubber wheels and tires. The field of the invention was a ‘device for facilitating transport of goods and persons’. The background explained that a ‘circular transportation facilitation device’ would be an improvement on walking, and on other devices, like ‘skis, sleds, toboggans and the like’. The application was accompanied by an illustration of a wheel.

There was also a perspective drawing of a cart incorporating ‘a series of circular transportation facilitation devices in accordance with a preferred aspect of the present invention.’

Keough said that he patented the wheel in order to establish that the innovation patent system was flawed because it did not need to be examined by the patent office. He explained his concerns:

The patent office would be required to issue a patent for anything. All they’re doing is putting a rubber stamp on it. The impetus came from the Federal Government. Their constituents claimed the cost of obtaining a patent was too high so the government decided to find a way to issue a patent more easily.

Keogh noted that he had no immediate plans to patent fire, crop rotation, or other fundamental advances in civilization. John Keogh had previously written about the dangers of innovation patents, warning: ‘These junk patents may bring the entire Australian patent system into disrepute’.

Keough succeeded far beyond what he might have hoped. The Australian Patent Office was forced to recognize the deficiencies in their practices that were exposed by Keogh's patent. On 30 August 2001, the Keogh's patent was revoked. It would take another 20 years however before Australia's government learned the lesson it should have and finally abolished the country's second-tier innovation patent scheme. Australia's IP Office officially phased out its innovation patent system on 26 August 2021.

Even so, Keogh's patent for the wheel represents a true achievement. Both Keogh and the Australian Patent Office were jointly awarded an Ig-Nobel Prize in 2001 for their accomplishment.

The wheel is an amazing invention. But the story of its 2001 reinvention is just as amazing.

From the Inventions in Everything Archives

The IIE team has previously covered one other example of an invention whose true purpose was to expose problems in how patents are awarded:

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06 August 2026

The average mortgage payment on the typical new home sold in the U.S. rose above the upper limit of affordability for the typical American household in May 2026.

The change comes eight months after the affordability of the median new home had finally become affordable for households earning the median household income for the first time since March 2022. A combination of rising mortgage rates and rising new home prices are responsible for the development. Both have increased since bottoming at their most affordable levels in years in March 2026.

Here are the three numbers that define how affordable a new home is for the typical American household:

  • Median new home sale price: $424,900
  • Median household income: $87,646
  • Average 30-year conventional fixed mortgage rate: 6.44%

Median household income also increased during this time, but not by enough to offset the impact of the other two factors. For a household at the exact middle of the U.S. income spectrum, the average mortgage payment for a new home purchased at the national median sale price with zero-percent down consumed 36.6% of the household's monthly income in May 2026.

This value is higher than the upper threshold of affordability defined by the 28/36 rule that mortgage lenders traditionally use to determine whether to extend a mortgage to new home buyers. A monthly mortgage payment that consumes more than 36% of a household's income means that the median new home sold in May 2026 is outside the affordable reach of a household earning the median income, even if it has no other debts.

The following chart shows how May 2026's level of relative affordability for new homes compares with the affordability for every month since January 2000:

Mortgage Payment for a Median New Home as a Percentage of Median Household Income, January 2000 - May 2026

Looking forward, the average interest rate for a 30-year conventional fixed rate mortgage increased to 6.49% in June 2026. This increase creates additional headwinds for new home affordability in the United States.

References

U.S. Census Bureau. New Residential Sales Historical Data. Houses Sold. [Excel Spreadsheet]. Accessed 24 July 2026.

U.S. Census Bureau. New Residential Sales Historical Data. Median and Average Sale Price of Houses Sold. [Excel Spreadsheet]. Accessed 24 July 2026.

Freddie Mac. 30-Year Fixed Rate Mortgages Since 1971. [Online Database]. Accessed 1 August 2026. Note: Starting from December 2022, the estimated monthly mortgage rate is taken as the average of weekly 30-year conventional mortgage rates recorded during the calendar month.

Image Credit: Microsoft Bing Image Generator. Prompt: "An editorial cartoon of an American family looking sadly at a new house with a "For Sale" sign in front of it that they cannot afford." We modified the generated image to add text to the label on the "For Sale" sign.

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05 August 2026
An editorial cartoon of a Wall Street bull and bear looking at a balloon labeled 'AI BUBBLE?' that has deflated. Image generated by Microsoft Copilot Designer

Two months ago, the S&P 500 (Index: SPX) was rising so quickly it raised the prospect the index could see a break down in the relative period of order the index established since the end of 2023.

Instead, after peaking on 2 June 2026, the S&P 500 has reverted toward its established mean trajectory. Through the end of July 2026, the index is hovering right around that 31-month-old central trend curve.

Which is to say the index remains well within its established relative period of order after having regressed toward its mean trend trajectory. Whatever bubble might have been forming within the index has mostly deflated.

The following chart visualizes the relationship between the value of the S&P 500 and its underlying trailing year dividends per share from 29 December 2023 through 31 July 2026:

S&P 500 Index Value vs Trailing Year Dividends per Share, 29 December 2023 through 31 July 2026

Previously on Political Calculations

Image Credit: Microsoft Copilot Designer. Prompt: "An editorial cartoon of a Wall Street bull and bear looking at a balloon labeled 'AI BUBBLE?' that has deflated".

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04 August 2026
Median Household Income - US Map

Motio Research's initial estimate of U.S. median household income for June 2026 is $88,110, a $370 (or 0.4%) decrease from the firm's initial estimate of $88,480 for May 2026.

Here are screenshots of the interactive charts Motio Research provides to visualize trends in the U.S.' median household income. The first chart presents the firm's Household Income Index, which is based on a three-month moving average that sets the period of January 2010 through March 2010 at a value of 100. The second chart presents their monthly median household income estimates in nominal (not adjusted for inflation) terms for the period from January 2010 through June 2026.

Monthly Household Income Index

Motio Research: Household Income Index, January-March 2010 through April-June 2026

Median Household Income Estimates

Motio Research: Nominal Median Household Income Estimates, January 2010 - June 2026

Motio Research offered the following analysis of the month-over-month decline in their survey-based median household income estimate:

The U.S. Real Median Household Income Index fell to 118.9. Nominal median household income also declined, falling 0.3% to $88,110. The real estimates are expressed in June 2026 dollars using Chained CPI-U; the series are seasonally adjusted three-month averages, and the index is set to 100 in March 2010.

Year-over-year change is Motio’s principal measure of household-income direction and momentum. Real household-income growth had strengthened from 2.3% in March to 2.7% in April before easing to 2.6% in May. The full percentage-point decline in June sharply interrupted that stronger trajectory.

Although larger one-month declines in the real-income level occurred in May 2010 and January 2021, both took place during contractionary or pandemic-disrupted phases of the household-income series. June’s combination of a 0.5% decline in the level and a full percentage-point loss of year-over-year momentum represents the largest simultaneous weakening in the two measures recorded during an established expansion phase of the series.

“One month of weakness does not establish a turning point, and we would caution against interpreting it as one,” said Matías Scaglione, Co-Founder and Principal Economist at Motio Research. “June nevertheless warrants attention because both the level and momentum of real household income weakened substantially during an established upswing. Whether this reflects temporary volatility or the beginning of a broader deterioration in household-income conditions is the question the next several releases will help answer.”

Analyst's Notes

Political Calculations produces monthly median household income estimates using an alternate methodology that complements Motio Research's survey-based estimates. In June 2026, Political Calculations' initial estimate of median household income is $87,934. This estimate is $291 (or 0.3%) higher than our initial estimate of $87,643 for May 2026's median household income.

The following chart presents our estimates of U.S. median household income, both adjusted for inflation (blue) and not-adjusted for inflation (red) for each month from January 2000 through May 2026.

Median Household Income in the 21st Century: Nominal and Real Modeled Estimates, January 2000 to June 2026

Political Calculations' June 2026 estimate is $176 (0.2%) below Motio Research's estimate of $88,110 for the month, which largely closes the gap we've observed between the two sets of estimates since Motio Research's estimates surged upward in July 2025.

For the latest in our coverage of median household income in the United States, follow this link!

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)]. Last Updated: 30 July 2026. Accessed: 30 July 2026.

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. Compensation of Employees, Received: Wage and Salary Disbursements. [Online Database (via Federal Reserve Economic Data)]. Last Updated: 30 July 2026. Accessed: 30 July 2026.

Image credit: U.S. Census Bureau. We modified the public domain image to make it more generally applicable beyond reporting the median household income from 2022.

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03 August 2026
An editorial cartoon showing a Wall Street bull and bear spinning a Price Is Right style Big Wheel labeled 'WHICH WAY WILL STOCKS GO?’ with values 'UP' and 'DOWN'. Image generated with Microsoft Copilot Designer.

The direction the S&P 500 (Index: SPX) takes is shaping up a lot like a playing a game that has a 50% chance of winning or a 50% chance of losing.

Investors saw that game play out during the past week as several of the Big Tech companies that dominate the index reported their earnings and updated their outlooks. For example, the world's biggest company, Apple (NASDAQ: AAPL) briefly touched a $5 trillion valuation before disappointing investors with its supply chain struggles, sending its shares lower.

But that loss was offset for the index as both Amazon (NASDAQ: AMZN) and Microsoft (NASDAQ: MSFT) were more positive.

By the time the trading week ended on Friday, 31 July 2026, the bulls came out ahead as the index rose almost 1.1% above its previous week's close to reach a value of 7,489.72.

The latest update of the alternative futures chart shows stock prices are consistent with investors focusing their forward looking attention on either the current quarter of 2026-Q3 or the more distant quarter of 2026-Q4.

Alternative Futures - S&P 500 - 2026Q3 - Standard Model (m=-2.0 from 28 Apr 2025) - Snapshot on 31 Jul 2026

The dividend futures-based model indicates very little difference in where it projects the level of the S&P 500 would be for investors fixing their attention on either these two future quarters.

As for why these two quarters would be of particular interest to investors, they happen to represent the likely timing of when the Fed will act to change the Federal Funds Rate. The CME Group's FedWatch Tool projects two quarter point rate hikes before the end of 2026. The first would occur after the Fed meets on 16 September (2026-Q3) and the second would take place on 9 December (2026-Q4).

Here are the market-moving headlines of the week that was:

Monday, 27 July 2026
Tuesday, 28 July 2026
Wednesday, 29 July 2026
Thursday, 30 July 2026
Friday, 31 July 2026

The BEA's first estimate of annualized real GDP growth during 2026-Q2 is 1.5%, just a bit below the Atlanta Fed's GDPNow tool's final estimate of +1.7% for the quarter. Meanwhile, GDPNow tool's first estimate of real GDP growth for the U.S. economy in the now current quarter of 2026-Q3 is +5.0%.

Image credit: Microsoft Copilot Designer. Prompt: "An editorial cartoon showing a Wall Street bull and bear spinning a Price Is Right style Big Wheel labeled 'WHICH WAY WILL STOCKS GO?’ with values 'UP' and 'DOWN'".

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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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