IDEAS home Printed from https://ideas.repec.org/a/kap/revdev/v7y2004i2p79-97.html
   My bibliography  Save this article

A Model of the Convenience Yields in On-the-Run Treasuries

Author

Listed:
  • Joseph A. Cherian
  • Eric Jacquier
  • Robert A. Jarrow

Abstract

The convenience yield differential between on- and off-the-run Treasury securities with identical maturities has two components. A non-cyclical component may arise due to the higher illiquidity of off-the-run bonds. Also, trading in the market for the next issue often causes cyclical shortages of the on-the-runs. When this occurs, owners of the on-the-run bond can earn riskless profits by borrowing at a special repo rate while lending at the prevailing risk free market rate. This second component of the convenience yield, induced by the auction, is cyclical. We first show that special repo rates and the convenience yield are jointly cyclical over the auction cycle. The patterns are statistically significant and pervasive. Repo specials are highest around the announcement day and disappear by the issue day. The off- minus on-the-run yield spread is highest at the beginning of the cycle and collapses near its end, consistent with a decreasing present value of profits over a decreasing horizon. Second, we develop a first no-arbitrage continuous-time model, with both interest and special repo rates stochastic, that prices the on-the-run bonds that command this convenience yield. A simple implementation of the model can generate yields consistent with the evidence.

Suggested Citation

  • Joseph A. Cherian & Eric Jacquier & Robert A. Jarrow, 2004. "A Model of the Convenience Yields in On-the-Run Treasuries," Review of Derivatives Research, Springer, vol. 7(2), pages 79-97, August.
    • Handle: RePEc:kap:revdev:v:7:y:2004:i:2:p:79-97
    as

    Download full text from publisher

    File URL: http://journals.kluweronline.com/issn/1380-6645/contents
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Stefania D'Amico & Roger Fan & Yuriy Kitsul, 2013. "The Scarcity Value of Treasury Collateral: Repo Market Effects of Security-Specific Supply and Demand Factors," Working Paper Series WP-2013-22, Federal Reserve Bank of Chicago.
    2. Fleming, Michael J. & Garbade, Kenneth D., 2007. "Dealer behavior in the specials market for US Treasury securities," Journal of Financial Intermediation, Elsevier, vol. 16(2), pages 204-228, April.
    3. Graveline, Jeremy J. & McBrady, Matthew R., 2011. "Who makes on-the-run Treasuries special?," Journal of Financial Intermediation, Elsevier, vol. 20(4), pages 620-632, October.
    4. Marcello Pericoli & Marco Taboga, 2015. "Decomposing euro area sovereign spreads: credit, liquidity and convenience," Temi di discussione (Economic working papers) 1021, Bank of Italy, Economic Research and International Relations Area.
    5. Díaz, Antonio & Escribano, Ana, 2017. "Liquidity measures throughout the lifetime of the U.S. Treasury bond," Journal of Financial Markets, Elsevier, vol. 33(C), pages 42-74.
    6. Feldhütter, Peter & Lando, David, 2008. "Decomposing swap spreads," Journal of Financial Economics, Elsevier, vol. 88(2), pages 375-405, May.
    7. Antonio Díaz & Francisco Jareño & Eliseo Navarro, 2020. "Yield curves from different bond data sets," Review of Derivatives Research, Springer, vol. 23(2), pages 191-226, July.
    8. Díaz, Antonio & Jareño, Francisco & Navarro, Eliseo, 2018. "Zero-coupon interest rates: Evaluating three alternative datasets," Economics Discussion Papers 2018-67, Kiel Institute for the World Economy (IfW Kiel).
    9. Michael J. Fleming & Kenneth D. Garbade, 2005. "Explaining settlement fails," Current Issues in Economics and Finance, Federal Reserve Bank of New York, vol. 11(Sep).
    10. David Goldreich & Bernd Hanke & Purnendu Nath, 2005. "The Price of Future Liquidity: Time-Varying Liquidity in the U.S. Treasury Market," Review of Finance, Springer, vol. 9(1), pages 1-32, March.
    11. Kenneth D. Garbade & Matthew Rutherford, 2007. "Buybacks in Treasury cash and debt management," Staff Reports 304, Federal Reserve Bank of New York.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:kap:revdev:v:7:y:2004:i:2:p:79-97. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.