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How Treasury–OIS Spreads Are Quoted and Interpreted

Article Quant Q&A · Author: Zen'z

Summary

A Treasury–OIS spread compares a Treasury bond yield with the fixed rate on an overnight index swap of a similar tenor. The explanation treats OIS as a proxy for repo funding costs, so the spread can help assess whether Treasuries look rich or cheap relative to funding. It also distinguishes the quoted spread from the position that benefits when it rises.

In the convention described, the spread is the OIS swap rate minus the Treasury yield. A long-spread position buys the bond and pays fixed in the swap, and benefits if the swap rate rises or the bond yield falls. Thus, the direction of widening or tightening should be understood by tracking the value of that defined difference; a negative starting value does not reverse the meaning of an increase. The answer is a concise convention-level explanation, not a market-data example or a full account of how funding conditions affect the spread.

Key ideas

  • The spread is defined here as the OIS fixed rate minus a similar-tenor Treasury yield.
  • OIS rates serve as a proxy for repo funding when comparing Treasury richness or cheapness.
  • A long-spread position buys the Treasury and pays fixed in OIS.
  • A long position benefits when the defined spread increases, even if it begins below zero.

Tags

Full text
# Understanding Front-End Spreads (terminology, lingo, convention)


# Understanding Front-End Spreads (terminology, lingo, convention)












Would appreciate a clear explanation as to what the OIS/Tsy spread and the TU OIS spread is. I've seen it being talked about in Wall St research reports but can't seem to find good explanations on Google. Can anyone shed some light on this and refer any good sources for learning?

Also, it seems like the spread is negative right now. Does it mean the convention is to quote the spread as the lower OIS rate minus the higher Treasury or futures rate? Is there any intuition behind this? Also, when lingo talks about cheapening/tightening/widening of spreads, which direction is this referring to? Heading to 0 or becoming more negative?

Any additional information would also be much appreciated. Thank you!

Sample report: https://www.tdsresearch.com/currency-rates/viewEmailFile.action?eKey=GOB4FJARFMNGIV98LO4X3RMHX

## Answer by thetableed (score 1)

https://quant.stackexchange.com/a/48715

Treasury / OIS spread is simply the difference between a given Treasury bond's yield (typically the on-the-run Treasuries, like 2y, 5y, etc.) and the fixed rate on an OIS of a similar tenor. If you consider OIS to be a decent proxy for repo rates, the Treasury / OIS spread is a way of gauging how cheap / rich Treasuries are versus their funding.

Typically, to be "long the spread" is to buy the bond and pay fixed in an OIS - this is why the spread is typically quoted as $ r - y $, where $ r $ is the fixed rate on the swap and $ y $ is the yield on the bond. If you're long the spread, you want $ r $ to go up or $ y $ to go down.

Widening / tightening are the same as long / short, but that terminology can be a bit confusing when spreads are negative, which is why it's usually easier to just talk in terms of long or short - if I'm long something then I want that something to increase - in this case, that is the difference between the swap rate and bond yield.

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.