Rates — Numerator, Denominator: Why the Path Matters More Than the Level

The Federal Reserve raised rates on Wednesday, the first hike since 2023, and the wires read the statement and the press conference as a committee that intends to do it again. The 5-year Treasury yield rose to 4.859%, the 10-year closed at 5.006% — its first close above 5% of this cycle — and the 30-year fell to 5.349%. The equity tape gave back a midday relief: the S&P 500 ETF closed at $754.05, its second close under Thursday’s $757.83; the software ETF fell a third day; gold was sold; the Magnificent Seven fund closed on its 69.5 line.

Nothing in that list was about earnings. The companies that were sold on Wednesday will report in October roughly what they were going to report on Tuesday. What changed was the other half of the fraction, and this Pulse is about the fraction — because the same arithmetic that sold software and gold on Wednesday is the arithmetic that decides how the AI trade is priced for the rest of the year.

The fraction: a numerator, a denominator, and a direction

Every asset that pays in the future is priced as a fraction. On top sit the cash flows — earnings, dividends, the output of the business; that is the numerator. Underneath sits the rate the market uses to bring those future dollars back to today — the risk-free yield plus a premium for the risk; that is the denominator. The discounted-cash-flow model that every analyst runs is only that fraction extended over many years, and the further out the cash flows sit, the more the denominator matters. That sensitivity is what the bond market calls duration, and it applies to stocks exactly as it applies to bonds.

The part that gets missed is that the price does not respond to the level of the denominator. It responds to a change in the direction of the path the market expects the denominator to take. A 5% 10-year that the market has expected for months is in the price; a 10-year that the market expected to fall toward 4% and that now looks like it will sit at 5% or rise is a repricing, because every model that discounted 2028 cash flows at a falling rate has to be re-run at a flat or rising one. The change is in the anticipated forward path, and the forward path is what moved on Wednesday: from a hike that was priced as one step to a hike that the wires now count as the first of a sequence.

We have a house term for the other half of this, the numerator regime: a market phase in which returns come from the top of the fraction, earnings and physical capacity growing, rather than from the bottom, multiples expanding as rates fall. The AI build-out has been a numerator regime since 2023 — Rubin, our build-out index, is +83% this year on earnings and capacity, not on a lower discount rate. The point of Wednesday is that a numerator regime does not exempt anyone from the denominator. It only decides who has enough numerator to absorb it.