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The 20-Year US Treasury Yield Curve Kink: Stripping Economics & Butterfly Arbitrage

Trading at 4.74% against 4.32% 10-year notes and 4.61% 30-year bonds, the 20-year US Treasury bond forms a +55 bps 10s20s30s butterfly kink driven by segmented natural demand.

By Dr. Marcus Vance, CFAReview not recorded
The 20-Year US Treasury Yield Curve Kink: Stripping Economics & Butterfly Arbitrage — AlphaPulse Finance 2026 quantitative & supervisory data card
AlphaPulse Finance (FOMC Policy Path, SOMA Runoff & US Treasury Term Premia): Arbitraging the +55 bps 10s20s30s Treasury kink, STRIPS bounds, and ZB CTD roll-down.Source: AlphaPulse Finance Institutional Research DeskLicense: CC-BY-4.0

Plot the par US Treasury yield curve across long maturities and a striking structural anomaly jumps off the screen: the 20-year bond consistently yields 4.74%—42 bps above the 10-Year Benchmark Note (4.32%) and 13 bps higher than the longer-duration 30-Year Long Bond (4.61%). Reintroduced in May 2020 after a 34-year hiatus, the 20-year sector suffers an acute "habitat vacuum" that leaves the 10s20s30s par butterfly (2*Y_20Y - Y_10Y - Y_30Y) persistently positive at +55 bps despite quarterly auction cuts and $4B Treasury Buybacks.

Preferred-Habitat Segmentation and the CME Futures Orphan Problem#

Why do institutional buyers crowd into 10-year and 30-year points while demanding a concession to hold 20-year bonds? Three microstructural frictions reinforce the kink:

  1. No Dedicated Liquid CME Futures Contract: CME launched a 20-Year T-Bond future (TWE) in 2022, yet open interest remains a fraction of Classic T-Bond (ZB, 15Y-25Y basket where 15Y-16Y bonds are CTD) and Ultra T-Bond (UB, 25Y-30Y basket). Fresh 20-year new issues sit stranded in the middle—not Cheapest-to-Deliver into ZB for another four years.
  2. LDI Convexity Efficiency: Pension LDI managers prefer 30-year Principal STRIPS (29.3 years duration, 886 convexity) over 20-year bonds (12.95 years duration, 206 convexity), creating rich reconstitution demand at 30Y.
  3. Index & ETF Concentration: Multi-asset macro hedgers benchmark duration at 10Y while long-duration Treasury ETFs (such as 20+ year funds regulated by the SEC) rebalance mechanically across the whole 20Y-30Y bucket.
Microstructure drivers of the 20-year Treasury yield kink and ZB CTD roll-down convergence
Microstructure drivers of the 20-year Treasury yield kink and ZB CTD roll-down convergenceVerified Exhibit

Why Stripping Arbitrage Caps the 10s20s30s Fly Near +65 Bps#

If 20-year par bonds cheapen too far above the interpolated 10Y-30Y zero-coupon curve, primary dealers such as Cantor Fitzgerald execute coupon-strip vs principal-strip arbitrage: buying cheap cash 20-year bonds on FINRA TRACE, stripping them via Fedwire into 40 semiannual coupon strips plus a 20-year Principal STRIP, and selling the generic 1Y-20Y coupon strips into rich 30-year bond reconstitution packages.

However, because the 20-year Principal STRIP itself cannot substitute for a 30-year Principal STRIP, dealers must warehouse the residual 20-year PO on balance sheet—imposing a no-arbitrage bound around +60 to +72 bps on the 10s20s30s par butterfly even after Treasury scaled 20-year new issues down to $16B ($13B reopenings).

Formula or model from the articleNot independently verified
Par_Butterfly_10s20s30s = (2 * Y_20Y) - Y_10Y - Y_30Y
  • 5050DV01Wings: Short 0.50 * DV01Belly in 10Y + Short 0.50 * DV01_Belly in 30Y
  • Worked $100M 20Y Belly Long Butterfly Setup:
  • Long $100.0M 20Y Bond (ModDur 12.95, Conv 206) -> Belly DV01 = +$129,500/bp
  • Short $79.45M 10Y Note (ModDur 8.15, Conv 78) -> 10Y Wing DV01 = -$64,750/bp
  • Short $39.48M 30Y Bond (ModDur 16.40, Conv 342) -> 30Y Wing DV01 = -$64,750/bp
  • Par Fly Spread = 2(4.74%) - 4.32% - 4.61% = +0.55% (+55.0 bps positive carry belly pickup)

DV01-Neutral 50:50 Butterfly Weighting & Convexity Adjustment Math#

Constructing a market-neutral long-belly 10s20s30s butterfly requires matching both total portfolio DV01 to zero and isolating pure curvature roll-down from parallel slope shifts.

Yield, modified duration, and convexity comparison across 10Y, 15Y-ZB, 20Y, and 30Y Treasuries
Yield, modified duration, and convexity comparison across 10Y, 15Y-ZB, 20Y, and 30Y TreasuriesVerified Exhibit

Long-End Benchmark Comparison: 10Y vs 20Y vs 30Y Microstructure#

Comparing auction sizes, futures hedging liquidity (CFTC), and buyback support shows why real-money income portfolios at firms like Alpine Woods harvest highest sovereign par yield at the 20-year point.

Quantitative Distribution · Par Yield
Par YieldAuction Size (New/Reopen)
0110-Year Note4.32%0215.5-Year Seasoned4.54%0320-Year Bond4.74%0430-Year Bond4.61%
Curve PointPar YieldAuction Size (New/Reopen)CME Futures CTD MatchPrimary Buyer & Regulatory Venue
10-Year Note4.32%$42B / $39BUltra 10Y (TN) DirectGlobal Macro & FX Reserves (Federal Reserve)
15.5-Year Seasoned4.54%Secondary Off-the-RunClassic T-Bond (ZB) CTDCash-Futures Basis Funds (CFTC)
20-Year Bond4.74%$16B / $13BOrphan (Small TWE OI)Yield-Focused Real Money & Buybacks (FINRA)
30-Year Bond4.61%$25B / $22BUltra Bond (UB) at Yr 25DB Pension STRIPS LDI (Cantor)

Harvesting Roll-Down from 20Y into the Classic ZB CTD Window#

Seasoned 20-year bonds issued in 2021-2022 represent one of fixed income's cleanest multi-quarter roll trades: as a 20-year bond seasons past 4.5 years and approaches 15 years and 3 months remaining to maturity, it suddenly becomes Cheapest-to-Deliver into the ultra-liquid CME Classic T-Bond (ZB) contract—compressing its spline cheapness by 8 to 14 bps as leveraged basis funds accumulate deliverable float.

Historical calibration series link NY Fed ACM 5-Factor vs Kim-Wright Term Premia, Holston-Laubach-Williams vs Lubik-Matthes Neutral Rate (r*), and FOMC Policy Path, SOMA Runoff & US Treasury Term Premia directly to FOMC Policy Path and verification registry.

Frequently asked questions

Why did the US Treasury reintroduce the 20-year bond in May 2020 and later cut its size?

Treasury revived the 20-year bond in May 2020 at $20B-$27B sizes to extend WAM during massive pandemic deficits, but scaled sizes down to $16B/$13B after weak end-user demand pushed 20Y yields persistently above 30Y.

How is the 10s20s30s Treasury butterfly calculated and weighted?

In yield space, the butterfly equals (2 * 20Y Yield) minus 10Y Yield minus 30Y Yield (+55 bps). In trade execution, desks weight each wing at 50% of the 20-year belly’s DV01 ($79.5M 10Y and $39.5M 30Y per $100M 20Y).

Does a 50:50 DV01-weighted long-20Y butterfly give up positive convexity?

Slightly. Combining 50% 10Y convexity (78) and 50% 30Y convexity (342) averages 210 convexity units on the short wings versus 206 on the long 20Y belly—making the trade nearly convexity-neutral while earning +55 bps spread.

Why are 10Y-20Y off-the-run bonds prime targets in US Treasury $4B buyback operations?

Pandemic-era 20-year issues rolled down into the 14-to-19-year sector with deep discount prices and wide bid-ask spreads; retiring them via FedTrade buybacks delivers maximum spline-smoothing benefit per dollar spent.

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Published
November 14, 2026
Updated
November 14, 2026
Author
Dr. Marcus Vance, CFA
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Dr. Marcus Vance, CFA. (2026, November 14). The 20-Year US Treasury Yield Curve Kink: Stripping Economics & Butterfly Arbitrage. AlphaPulse Finance. https://alphapulsefin.com/analysis/twenty-year-treasury-bond-kink-microstructure-arbitrage-pricing
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