Bills · Phase · 2 Oct 2026
3M 4.11%
A phase plane puts level along one axis and slope along the other, so a single dot carries both.
Treasury Bills at 4.11% on the 3M against a +16bp 1M/3M, drawn over every day since 18 Oct 2021. That corner held 271 of them, and the path walks monthly from 18 Oct 2021.
Short-term Treasury bill rates from 4 weeks to 52 weeks, quoted coupon-equivalent so they compare with a coupon bond.
A phase plane puts level along one axis and slope along the other, so a single dot carries both. The trail behind holds the order the days arrived in.
The spread runs left to right and the bill rate bottom to top, so a dot holds both; the faint dots are earlier days.
The dot’s position is the state; the path behind it says how that arrived. Left of the Flat rule is an inverted curve.
A dot at 4.20% and −40bp sits high and left, so elevated and inverted.
Dots in the alarm colour fell inside a dated recession, and those dates are only fixed long after the fact. A loop does not make a cycle, and nothing here promises the curve comes round again.
US Treasury · daily bill rates, coupon-equivalent · phase computed here
2 Oct 2026 · secondary-market bill rates, coupon-equivalent, Treasury’s own feed
| Tenor | Bill rate | 1D | 1W | 1M | 1Y | %ile 5y |
|---|---|---|---|---|---|---|
| SOFR (1 Oct) | 3.87% | −3 | −1 | +21 | −33 | |
| EFFR (1 Oct) | 3.88% | 0 | 0 | +25 | −21 | |
| IORB (1 Oct) | 3.90% | 0 | 0 | +25 | −25 | |
| ON RRP (1 Oct) | 3.75% | 0 | 0 | +25 | −25 | |
| 1M | 3.95% | −1 | −2 | +23 | −17 | 43 |
| 1.5M | 3.98% | −1 | −3 | +17 | −12 | — |
| 2M | 4.04% | −2 | −6 | +22 | −4 | 43 |
| 3M | 4.11% | +1 | −7 | +24 | +16 | 43 |
| 4M | 4.19% | 0 | −7 | +23 | +26 | — |
| 6M | 4.29% | +1 | −7 | +26 | +45 | 51 |
| 1Y | 4.46% | +2 | −2 | +30 | +78 | 63 |
tenors 1, 5, 21, 252 trading days; anchors 1, 7, 30, 365 calendar
| Pair | BP | 1D | 1W | 1M | %ile 5y |
|---|---|---|---|---|---|
| 1M/3M | +16bp | +2 | −5 | +1 | 73 |
| 1M/1.5M | +3bp | 0 | −1 | −6 | — |
| 1.5M/2M | +6bp | −1 | −3 | +5 | — |
| 2M/3M | +7bp | +3 | −1 | +2 | 71 |
| 3M/4M | +8bp | −1 | 0 | −1 | — |
| 4M/6M | +10bp | +1 | 0 | +3 | — |
| 6M/1Y | +17bp | +1 | +5 | +4 | 88 |
| 1M/1Y | +51bp | +3 | 0 | +7 | 79 |
long − short, in basis points
| Fly | BP | 1D | 1W | 1M | %ile 5y |
|---|---|---|---|---|---|
| 1M/3M/1Y | −19bp | +1 | −10 | −5 | 15 |
2 × belly − wings, 50-50 weighted, not duration-neutral
| Fly | BP | 1D | 1W | 1M | %ile 5y |
|---|---|---|---|---|---|
| 1M/3M/1Y | −30bp | +1 | −10 | −5 | 4 |
the fly with 1M/3M regressed out over five years
| Line | Value | Detail |
|---|---|---|
| Inverted | 0 of 16 | pairs 2× apart in maturity |
| Deepest | — | nothing counted is inverted |
| Uncounted | — | no inversion between neighbours |
| 1M/3M | not inverted | |
| Month | Bear Steepener | Δ level +22bp · Δ slope +4bp over a month |
| Line | Value | Detail |
|---|---|---|
| Last episode | 89 sessions | 31 Jul 2025 → 8 Dec 2025 |
| Deepest (5 Sep 2025) | −20bp | |
| Area | 1,064 | basis points × sessions below zero |
| Un-inverted (9 Dec 2025) | 297 days ago | calendar days, not sessions |
| Precedent | 96d | median un-inversion to recession, 26 to 165, n=2. Not a forecast |
1M/3M episodes of 20 sessions or more, since 2 Jan 2002
| Line | Value | Detail |
|---|---|---|
| 3M vol | 48bp | annualised, 21 sessions |
| Rank · 5y | 68th | |
| Shape share | 1.36 | 1M/3M vol ÷ 3M vol |
realised standard deviation of daily changes, annualised
| Line | Value | Detail |
|---|---|---|
| 1y | +3.8% | |
| 5y | +20.0% | not annualised |
| Worst fall (17 Sep 2008) | −0.3% | peak to trough, bottoming 22 Sep 2008 |
| Since then | made back |
a rolling 3M par bond, coupon and price. Not a fund
| Line | Value | Detail |
|---|---|---|
| Four-week bill (1 Oct) | +15bp | |
| Thirteen-week bill (1 Oct) | +31bp | |
| Rank · 5y | 87th |
the bill's yield minus the ON RRP award, award restated on 365
| Anchor | Value | 1D | 1W | 1M | 1Y | Detail |
|---|---|---|---|---|---|---|
| SOFR (1 Oct) | 3.87% | −3 | −1 | +21 | −33 | |
| EFFR (1 Oct) | 3.88% | 0 | 0 | +25 | −21 | |
| IORB (1 Oct) | 3.90% | 0 | 0 | +25 | −25 | |
| ON RRP (1 Oct) | 3.75% | 0 | 0 | +25 | −25 | |
| SOFR−BGCR (1 Oct) | +3bp | +1 | +1 | 0 | −1 | what bilateral cleared repo adds to the broad GC rate inside SOFR |
| NBER (dated to 1 Sep 2026) | not in a dated recession | NBER dates turning points about a year late |
Spreads and butterflies are derived here from the published bill rate curve. They are not published by any source. A dash means the value could not be computed or was too thin to rank, never zero.