to your HTML Add class="sortable" to any table you'd like to make sortable Click on the headers to sort Thanks to many, many people for contributions and suggestions. Licenced as X11: http://www.kryogenix.org/code/browser/licence.html This basically means: do what you want with it. */ var stIsIE = /*@cc_on!@*/false; sorttable = { init: function() { // quit if this function has already been called if (arguments.callee.done) return; // flag this function so we don't do the same thing twice arguments.callee.done = true; // kill the timer if (_timer) clearInterval(_timer); if (!document.createElement || !document.getElementsByTagName) return; sorttable.DATE_RE = /^(\d\d?)[\/\.-](\d\d?)[\/\.-]((\d\d)?\d\d)$/; forEach(document.getElementsByTagName('table'), function(table) { if (table.className.search(/\bsortable\b/) != -1) { sorttable.makeSortable(table); } }); }, makeSortable: function(table) { if (table.getElementsByTagName('thead').length == 0) { // table doesn't have a tHead. Since it should have, create one and // put the first table row in it. the = document.createElement('thead'); the.appendChild(table.rows[0]); table.insertBefore(the,table.firstChild); } // Safari doesn't support table.tHead, sigh if (table.tHead == null) table.tHead = table.getElementsByTagName('thead')[0]; if (table.tHead.rows.length != 1) return; // can't cope with two header rows // Sorttable v1 put rows with a class of "sortbottom" at the bottom (as // "total" rows, for example). This is B&R, since what you're supposed // to do is put them in a tfoot. So, if there are sortbottom rows, // for backwards compatibility, move them to tfoot (creating it if needed). sortbottomrows = []; for (var i=0; i
The outlook for the quarterly dividends of the S&P 500 (Index: SPX) has substantially improved in the month since our previous snapshot?
Here is our summary of how the outlook for the S&P 500's quarterly dividends per share changed since our 15 April 2026 snapshot:
The following chart shows how expectations for the S&P 500's quarterly dividends per share changed in the month from 15 April 2026 to 15 May 2026.
The large change in the forecast value for the most distant future quarter of 2027-Q2 is typical of the kind of volatility we see in dividend futures after the data for a new quarter first becomes available. Based on just the increases seen for all the other future quarters however, May 2026 saw one of the strongest month-over-month improvements in the S&P 500's dividend outlook in years.
Ready to find out more about dividend futures data? If this is your first exposure to the S&P 500's quarterly dividend futures, be sure to read the following section that explains what this data is communicating about the future for the index' dividends.
For this series, we take a snapshot of the CME Group's S&P 500 quarterly dividend futures data shortly after the second or third week of each month.
Dividend futures indicate the amount of dividends per share to be paid out over the period covered by each quarter's dividend futures contracts, which start on the day after the preceding quarter's dividend futures contracts expire and end on the third Friday of the month ending the indicated quarter. For example, as determined by dividend futures contracts, the now "current" quarter of 2026-Q2 began on Saturday, 21 March 2026 and will end on Friday, 19 June 2026. Since the expectations for this quarter's dividend payouts can change all the way up to that final date, it qualifies as a future quarter.
Because dividend futures are tied to options contracts that run on this schedule, that makes these figures different from the quarterly dividends per share figures that are reported by Standard and Poor. S&P reports the amount of dividends per share paid out during regular calendar quarters after the end of each quarter. This term mismatch accounts for the differences in dividends reported by both sources, with the biggest differences between the two typically seen in the first and fourth quarters of each year.
Dividend futures data is important for more than just what they project will be a future quarter's dividend payout. They represent the quantified expectations investors have for the future income they will realize from holding their investments, which in turn, affects how investors set current day stock prices. How changes in the outlook for dividends at specific points of time in the future contribute to changes in current day stock prices is described by this math.
Image Credit: Microsoft Copilot Designer. Prompt: "A crystal ball with the word 'SP 500' written inside it". And 'Dividends' written above it, which we added.
The S&P 500 (Index: SPX) continued rising during the trading week ending on Friday, 15 May 2026, clocking several new record high closes during the week that was. The index however retreated from those new highs on Friday, but still closed at 7,408.50, up a little over 0.1% above its previous week's close.
Friday was the day inflation fears came roaring back for the U.S. economy, erasing two days worth of gains for the index in the process and taking expectations of rate cuts entirely off the table for 2026.
The CME Group's FedWatch Tool now anticipates no change in the Federal Funds Rate until 9 December (2026-Q4), when it now projects a quarter point rate hike, which is a big change from the previous week. Right now, it's not projecting much more than that increase, but the tool's bias going into 2027 has shifted toward expectations of more rate hikes.
QTR's Fringe Finance captured the Wall Street zeitgeist of the moment:
Lauren Hyslop, investment manager at Mattioli Woods, summarized the situation well in comments to CNBC: “Rising bond yields are once again imposing their will on markets, tightening financial conditions and sapping risk appetite across asset classes,” she said.
She added that investors are confronting the “uncomfortable reality of ‘higher for longer’ rates in the U.S., as stubborn inflation and surprisingly resilient growth push back any meaningful pivot to easing.” She also noted that a stronger dollar, fading expectations for liquidity support, geopolitical uncertainty, and fiscal concerns are all adding pressure simultaneously. That combination is particularly dangerous because it removes the easy narrative markets have relied on for months that rate cuts were inevitable and policymakers would remain quick to intervene.
The fact that the Fed is stuck between a 3.8% CPI and 6% PPI rock and a market-teetering-on-the-brink-of violently-pulling-back hard place was the core of yesterday’s concern. If the bond market starts to get violent, what options does the Fed have to start printing to buy bonds and do yield curve control with inflation already where it is? The central bank’s hands might be tied — and this is a scary (and somewhat unprecedented) thought....
Even so, the latest update of the alternative futures chart shows the trajectory of the S&P 500 remains within the redzone forecast range we forecast for it almost three months ago following the disruption of the Iran war geopolitical event.
The change from being biased to either holding rates steady or cutting rates is a global response to inflation pressures and the disruptions from the Iran war geopolitical event. The market moving headlines of the week indicate they are increasingly expected in the U.S., in Japan, and also in the Eurozone:
The Atlanta Fed's GDPNow toolestimate of real GDP growth for the U.S. economy in the current quarter of 2026-Q2 rose to +4.0%, up from the +3.7% it projected a week earlier.
Image credit: Microsoft Copilot Designer. Prompt: "An editorial cartoon of a Wall Street bull and bear who are shocked and scared by a news report that says 'INFLATION IS BACK, BABY!'"
Prime numbers are unique. Unlike all other numbers, prime numbers cannot be divided equally by a whole number to get a whole number result except for itself and the number 1.
By contrast, every other number but prime numbers will include other numbers as factors. Also called composite numbers, when you drill down far enough, you'll find each has a unique factorization made up of nothing but prime numbers.
If you start counting up from 1, you'll frequently run into prime numbers at the beginning. But as you count higher and higher, you'll find prime numbers become fewer and farther apart. At first glance, it seems like they're randomly distributed among all the numbers you're counting. But that appearance is deceptive, because when you tease the numbers just right, a non-random pattern emerges.
The following video by Physics Explained's Rhett Allain is one of the best we've seen in establishing the foundation of just how the numbers have to be teased to reveal the pattern that the prime numbers are following.
In the video, New Scientist's Jacklin Kwan focuses on the Riemann Hypothesis, which describes the pattern that prime numbers appear to follow into infinity, which is the biggest unproven conjecture in math:
Labels: math
The affordability of new homes in the U.S. improved in March 2026 as builder incentives to reduce the sale prices of new homes combined with relatively low mortgage rates and a rising income for the typical American household.
The first two of these factors directly reduced the typical mortgage payment for U.S. households, while the third makes the lower cost for owning a new home more affordable by definition for the nation's median income-earning household. Here are the applicable numbers:
For that 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 would consume 32.6% of the household's monthly income in March 2026.
This value falls in between the two major affordability thresholds mortgage lenders have traditionally used in the form of the 28/36 rule to determine whether to extend a mortgage to new home buyers. The following chart shows how March 2026's level of relative affordability for new homes compares with the affordability for every month from January 2000 through March 2026:
In March 2026, buying a new home was the most affordable it has been in the U.S. for a typical American household at any time in the last four years.
U.S. Census Bureau. New Residential Sales Historical Data. Houses Sold. [Excel Spreadsheet]. Accessed 5 May 2026.
U.S. Census Bureau. New Residential Sales Historical Data. Median and Average Sale Price of Houses Sold. [Excel Spreadsheet]. Accessed 5 May 2026.
Freddie Mac. 30-Year Fixed Rate Mortgages Since 1971. [Online Database]. Accessed 11 May 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 Copilot Designer. Prompt: "An editorial cartoon of a new home buyer speaking with a real estate agent in front of a 'NEW HOME FOR SALE' sign that says 'MEDIAN PRICE MARKED DOWN TO $387,400!'"
Labels: personal finance, real estate
How has the Iran war geopolitical conflict affected how much carbon dioxide is being added to the Earth's air?
Thanks to its unique timing, atmospheric carbon dioxide concentration data collected by the remote Mauna Loa Observatory may provide a unique, almost real-time window into how a large-scale military and economic conflict can affect the environment.
What makes the timing unique is the conflict's major military actions began on 28 February 2026. That gives us the potential of a clear break in the monthly atmospheric CO₂ data, with a well defined before and after.
What makes that possible is the disruption of oil and gas shipments from the energy resource-rich nations of the region, which before the conflict, accounted for about 20% of the world's oil supply. The bulk of these oil shipments are bound for the nations of south and east Asia. Or would be, if the oil tankers carrying the supply were not at high risk of being attacked by Iranian drones, while Iran's own oil shipments are blocked by a naval blockade.
That much oil and gas powers a large share of the advanced economies that rely on the supply from this region. If those shipments stop, that's a lot of economic activity that can be shut down unless the supplies can be offset through strategic reserves or alternate sources. That reduced activity would reduce the net amount of CO₂ these economies emit into the Earth's atmosphere.
This assumes any fires resulting from military actions or from the increased flaring of excess gas production that cannot be captured and shipped to other countries because of the geopolitical event's disruption of shipping produce substantially less CO₂ emissions than these more productive activities.
With these assumptions, what we would look for in the data for the months after February 2026 is a reduction in the rate at which carbon dioxide accumulates in the Earth's atmosphere. Given the time it takes for carbon dioxide emissions to diffuse into the air from the affected economies and reach the remote Mauna Loa Observatory where it is measured, that reduction should start very slowly before falling off more sharply as the disruption continues.
At least that's our working hypothesis. Since the NOAA just got around to publishing the monthly CO₂ data measured at the Mauna Loa Observatory for both March and April 2026 last week, we can look to see how much of an effect there may be already in the two months since the conflict began. The following chart shows the data for the trailing year average of the year-over-year change in atmospheric CO₂ concentration from January 2000 through April 2026:
What we see is that since December 2024, the rate at which carbon dioxide is being added to the Earth's air has been falling, with the rate affected by developments in global trade.
At least, up through February 2026, which has been generally falling at a steady rate. After February 2026, there are indications the pace at which CO₂ is emitted into the atmosphere has started declining at a faster pace. But that's based on a sample size of two months. We'll need more months of data to sort out the Iran war's impact, but at these early days, it appears to be following our hypothesis.
When we get that data and compare it against where the established trend for the data, we'll be able to put a dollar value on its impact to the world's GDP and compare it with other geopolitical events.
National Oceanographic and Atmospheric Administration. Earth System Research Laboratory. Mauna Loa Observatory CO2 Data. [Online Data]. 5 May 2026. Accessed 8 May 2026.
Image credit: Tankers at the Iraqi Al Basra Oil Terminal in the Northern Arabian Gulf photo by Samuel W. Shavers on Wikimedia Commons. Public domain image.
Labels: environment, ideas
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