Tenors: the same borrower, different dates

Why it matters

Kitalpha’s yield curve page shows, as of 2026-09-15, what the U.S. Treasury pays to borrow for every maturity it issues: 4.11% for three months, 5.00% for ten years, 5.36% for thirty. A headline says “the Treasury yield rose”; a reader looks at the page and sees a dozen yields, some of which may have moved the other way. Which one is “the” yield, and why one borrower pays many rates on the same day, is the idea this lesson starts from.

The concept

A tenor is the length of a loan: the time from the day money is lent to the day it is repaid. The U.S. Treasury borrows at many tenors at once, from bills repaid in a month to bonds repaid in thirty years, and each tenor is a separate security traded in its own market. The yield on each is the price of time for that length, set by trading, and the Treasury publishes the set every business day as its par yield curve, the yields at which a new security of each maturity would trade at its face value.

Laid out from the shortest tenor to the longest, the yields form the term structure of interest rates, and drawn as a line they are the yield curve. The word curve is descriptive: the line has a shape, and the shape is the information. Usually it slopes upward, with longer tenors yielding more, because a lender parting with money for thirty years bears more uncertainty than one parting with it for three months and asks a higher price for it. But the slope is a fact to read on the day, not a law. The curve can flatten, with long and short yields close together, and it can invert, with a short tenor yielding more than a long one; the record’s own history contains both, and later lessons in this course read those shapes on the same page.

Two reading habits follow. First, there is no single Treasury yield. When a headline quotes one, it has picked a tenor, most often the ten-year, and the rest of the curve may have moved differently on the same day: short tenors follow the policy rate closely, long tenors carry expectations about growth and inflation over decades, and the two ends can part company. Second, every point on the curve is the same borrower. The yields differ because the loans’ lengths differ, not because the Treasury’s credit differs from one security to the next. That is what makes the curve a clean measure of time’s price: the borrower is held fixed and only the date is varied.

Each tenor also has its own page on Kitalpha, with its history, and the figure there is the same Treasury publication as the point on the curve. The curve page is the whole set on one date; a tenor page is one point across many dates. The chart below draws today’s curve across every published tenor. Read it left to right, and read the slope between any two points as the gap between two prices of time from one borrower.

Worked example

Take the curve record as of 2026-09-15. The steps below read four tenors from it, the 3-month, the 2-year, the 10-year and the 30-year, then take the gap between the longest and the shortest in percentage points and in basis points. Every figure comes from the curve record on the date shown.

What to read off the steps. The first four lines are four prices of time from one borrower on one day, and their order is the shape of the curve at four points. The fifth line is the slope from end to end: positive when the thirty-year yields more than the three-month, which is the usual shape but not the only one the record has shown. The last line restates that slope in basis points, hundredths of a percentage point, which is how the gap between tenors is normally quoted. None of these lines says why the curve has its shape; that is the subject of later lessons.

Faded example

Now a single tenor’s own record: the 20-year par yield as of 2026-09-15. Its yield and the 2-year from the curve are given. Complete the last step: the 20-year minus the 2-year, in percentage points.

Retrieval check

Mark your confidence before each answer. Every option carries an explanation; read the ones you rejected too.

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