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Treasury Bond

Fixed Income · basic · CC-BY-4.0

A Treasury Bond (T-Bond) is a long-term U.S. government debt security with a maturity of 20 or 30 years, paying semiannual coupon interest at a fixed rate and returning par value at maturity. T-Bonds are issued by the U.S. Department of the Treasury and are backed by the full faith and credit of the United States government, making them benchmark instruments for global long-term interest rates.

Key takeaways

Explanation

Treasury Bonds represent the longest-duration segment of the U.S. government securities market and serve as the global benchmark for long-term risk-free interest rates. With maturities of 20 and 30 years, T-Bonds carry substantially more interest rate risk than T-Notes or T-Bills, making them sensitive barometers of long-term inflation expectations, fiscal sustainability concerns, and global capital flows seeking duration.

T-Bonds are issued via competitive auctions held approximately every two months for the 30-year bond, with reopenings of existing bonds in intervening months. The auction mechanism mirrors that for T-Bills and T-Notes, with primary dealers obligated to bid at auction and the Federal Reserve conducting open market operations in the secondary market. The on-the-run 30-year T-Bond—the most recently issued 30-year bond—is the most liquid long-duration instrument in the world and serves as the basis for the 30-year Treasury futures contract traded on the CME Group.

The pricing of T-Bonds follows standard bond mathematics. Price = Σ [C/(1+y/2)^t] + Par/(1+y/2)^n, where C is the semiannual coupon payment, y is the yield to maturity, n is the number of periods, and t indexes payment dates. For a 30-year bond with a 4.5% coupon and a current yield of 5%, the price would be approximately $91.15 per $100 face value, reflecting the discount required by investors because the coupon is below the current yield. Duration—the weighted average time to receipt of cash flows—for a 30-year T-Bond is approximately 16–19 years, and modified duration—the percentage price change per unit change in yield—is approximately 15–18, implying that a 50 bps rise in yields would reduce the bond's price by approximately 7.5–9%.

T-Bonds play an essential role in asset-liability management (ALM) for long-duration institutional investors. Defined-benefit pension funds have long-duration liabilities (pension obligations payable decades in the future) that are economically similar to long-duration bonds. Matching the duration of pension assets to pension liabilities using T-Bonds reduces the surplus volatility—the mismatch between asset and liability values—that creates funding risk. Life insurance companies similarly use T-Bonds to match the duration of their long-term liability portfolios. The demand for T-Bonds from these liability-driven investors is a structural feature of the U.S. Treasury market and contributes to the persistent demand for long-duration assets even when forward rates appear unfavorable.

The swap spread on Treasury bonds—the difference between the equivalent-maturity swap rate and the T-Bond yield—is an important indicator of relative value and systemic risk. Normally positive (swaps yield more than Treasuries), swap spreads turned significantly negative in certain maturities during periods of Treasury market stress (particularly in 2015 and 2019–2020), reflecting technical factors such as regulatory balance sheet constraints on dealers, basis trading by hedge funds, and flight-to-safety flows into Treasuries during risk-off episodes. Negative swap spreads created significant dislocation opportunities for relative value fixed-income hedge funds.

Formula

Price = Σ[C/2 / (1 + y/2)^t] + 100 / (1 + y/2)^(2T), where C = annual coupon rate, y = yield to maturity, T = years to maturity, t = period number from 1 to 2T

Example

In November 2023, the U.S. Treasury auctioned $24 billion in 30-year bonds with a coupon of 4.75%, priced at 99-24 (approximately 99.75% of par) to yield 4.769%. A large pension fund purchased $500 million face value at the auction, paying approximately $498.75 million. With a modified duration of approximately 17.5, the position has a DV01 (dollar value of a basis point) of approximately $8.73 million—meaning a 1 basis point rise in 30-year yields would reduce the market value of the position by $873,000. The pension fund's liability manager uses this position to reduce the duration gap between the plan's assets (dominated by equities with low effective duration) and its liabilities (pension obligations discounted at long-term corporate bond rates that closely track 30-year Treasury yields). Over the subsequent 6 months, 30-year yields decline 40 bps, causing the position to appreciate by approximately $34.9 million—offsetting a similar increase in the discounted value of the plan's liabilities.

Related terms

Balance Sheet Basis Bond Corporate Bond Current Yield Duration Dv01 Effective Duration Face Value Futures Contract Inflation Interest Rate