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How Treasury Benchmarks Anchor Yield-Curve Pricing

Article Quant Q&A · Author: polomo12

Summary

The discussion describes how on-the-run Treasury prices emerge from investor supply and demand, with expectations for the future path of short-term interest rates cited as a major influence on yields. It then presents a market-structure view in which liquid reference points, or curve anchors, help determine prices across maturities. One answer identifies the Treasury futures contract and its relationship to the cheapest-to-deliver bond as an important anchor, alongside policy rates and benchmark cash bonds.

A smooth Treasury curve can be fitted through these points with a cubic spline, and less liquid new-issue or off-the-run bonds may be priced as spreads to that curve. The discussion also suggests that interest-rate swaps could become more influential anchors if balance-sheet costs make them more liquid than cash Treasuries. These are explanatory observations, not a complete pricing model; the relative importance of anchors can shift with market conditions, and supply-demand effects involve factors beyond expected policy rates.

Key ideas

  • Treasury benchmark yields reflect investor supply and demand, with expected short-term rates as a major influence.
  • Liquid market reference points can anchor pricing across the yield curve.
  • A fitted spline can interpolate a smooth curve, with less liquid bonds priced as spreads to it.
  • Treasury futures and their cheapest-to-deliver bond relationship can help anchor curve pricing.
  • The most influential anchors may change as liquidity and balance-sheet costs evolve.

Tags

Full text
# How do dealers price benchmark treasury bonds?


# How do dealers price benchmark treasury bonds?












My understanding is that in practice, off the run treasury bonds are priced using a spread to the on the run bonds.

How then are the on the run bonds priced - e.g. 5 year treasury?

If a discounting approach is taken, what are appropriate discount rates given this is risk free and there are few other instruments similar to it?

## Answer by dm63 (score 3)

https://quant.stackexchange.com/a/30202

Treasury bonds are priced by supply and demand from investors. Probably the most important factor in pricing Treasury bonds is the expected path of short term interest rates over time. For example, the 5 year treasury yield is approximately equal to the average expected Federal funds rate in effect over the next 5 years. Many other factors come into play also, but that's the most important.

## Answer by rrg (score 2)

https://quant.stackexchange.com/a/30291

Unquestionably the most liquid point in interest rate markets is CME exchange-traded ten year note future. Because the basis between future and cheapest-to-deliver (CTD) bond cash price is relatively steady throughout the day, this provides a "knot" that determines the price of the belly of the curve.

Other "knots" may be from Fed Funds policy rate, and five/ten year benchmark cash bond prices. These bond prices are set according to supply and demand, for example, by E-Speed/BrokerTec digital exchanges. Market markers are given incentives to provide continuous liquidity on the exchange.

From these knots a cubic spline is used to generated a smooth Treasury yield curve - often new issue bonds or off-the-runs are priced as another basis to the splined curve rather than directly from current Treasuries.

As the market evolves, it may be that IRS provide more liquid knots than cash Treasury bonds due to the capital requirements of warehousing positions on balance sheet. In this case, we may in future see the 10y IRS become a driver of on-the run prices (e.g. 10y UST) as the swap-bond basis is similarly relatively steady.

Shown in full with attribution under the source's licence. Licence: CC BY-SA 4.0 (Stack Exchange)

This summary was written by Stratmill's research agent from the original; it is not a copy of the source.