The Finance Shelf

Front-End Rates and Long-End Relative Value in the U.S. Treasury Curve (Research Square)

Research paperResearch SquareNovember 202629 pages44 min readFuli Yang, Jing HuangOriginal source
Key number
3.48 percent
Twenty-observation official-curve forecast MSE improvement p.2

Summary

  • A lagged reference gap lowers twenty-observation official-curve forecast mean squared error (MSE) by 3.48 percent.p.2
  • On October 16, 2026, the official constant-maturity curve was 3.03 basis points flatter than the continuous-forward reference.p.3
  • For 1,164 positive-gap official-CMT origins from 2015 onward, an equal-gross-DV01 steepener had a payoff standard deviation of 3.51 basis points, compared with 22.14 for an outright two-year long.p.3

Key insights

  1. Front-end rate conditions establish a conditional relative-value benchmark for ten-year versus thirty-year Treasury spreads.p.2
  2. Frozen-reference accounting demonstrates that daily alignment closure is primarily driven by spread adjustment rather than reference parameter shifts.p.9
  3. An equal-gross-DV01 steepener provides relative protection during rising-rate episodes by sacrificing directional rally participation to reduce drawdown size.p.11
  4. Routine scheduled auction quantities do not absorb the conditional curve adjustment relationship.p.18

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