IDEAS home Printed from https://ideas.repec.org/a/wsi/ijtafx/v11y2008i05ns0219024908004919.html
   My bibliography  Save this article

Discount Curve Estimation By Monotonizing Mcculloch Splines

Author

Listed:
  • HOLGER DETTE

    (Department of Statistics, Ruhr-University of Bochum, Universitätsstraße 150, 44780 Bochum, Germany)

  • DANIEL ZIGGEL

    (Department of Statistics, Ruhr-University of Bochum, Universitätsstraße 150, 44780 Bochum, Germany)

Abstract

In this paper a new method for monotone estimation of discount curves is proposed. The main idea of this approach is a simple modification of the commonly used (unconstrained) McCulloch Spline. We construct an integrated density estimate from the predicted values of the discount curve. It can be shown that this statistic is an estimate of the inverse of the discount function and the final estimate can be obtained by a numerical inversion. The resulting procedure is simple and we have implemented it in Excel and VBA, respectively. The performance is illustrated by several examples, in which the curve was previously estimated with an unconstrained McCulloch Spline.

Suggested Citation

  • Holger Dette & Daniel Ziggel, 2008. "Discount Curve Estimation By Monotonizing Mcculloch Splines," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 11(05), pages 529-544.
    • Handle: RePEc:wsi:ijtafx:v:11:y:2008:i:05:n:s0219024908004919
    DOI: 10.1142/S0219024908004919
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0219024908004919
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0219024908004919?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

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

    References listed on IDEAS

    as
    1. Lars E.O. Svensson, 1994. "Estimating and Interpreting Forward Interest Rates: Sweden 1992 - 1994," NBER Working Papers 4871, National Bureau of Economic Research, Inc.
    2. Mark Deacon & Andrew Derry, 1994. "Estimating the Term Structure of Interest Rates," Bank of England working papers 24, Bank of England.
    3. Svensson, Lars E O, 1994. "Estimating and Interpreting Forward Interest Rates: Sweden 1992-4," CEPR Discussion Papers 1051, C.E.P.R. Discussion Papers.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Schich, Sebastian T., 1996. "Alternative specifications of the German term structure and its information content regarding inflation," Discussion Paper Series 1: Economic Studies 1996,08e, Deutsche Bundesbank.
    2. Poletti Laurini, Márcio & Moura, Marcelo, 2010. "Constrained smoothing B-splines for the term structure of interest rates," Insurance: Mathematics and Economics, Elsevier, vol. 46(2), pages 339-350, April.
    3. Hu, Xiaolu & Shi, Jing & Wang, Lafang & Yu, Jing, 2020. "Foreign ownership in Chinese credit ratings industry: Information revelation or certification?," Journal of Banking & Finance, Elsevier, vol. 118(C).
    4. Gary S. Anderson & Alena Audzeyeva, 2019. "A Coherent Framework for Predicting Emerging Market Credit Spreads with Support Vector Regression," Finance and Economics Discussion Series 2019-074, Board of Governors of the Federal Reserve System (U.S.).
    5. Liu, Yan & Wu, Jing Cynthia, 2021. "Reconstructing the yield curve," Journal of Financial Economics, Elsevier, vol. 142(3), pages 1395-1425.
    6. Corey Garriott & Sophie Lefebvre & Guillaume Nolin & Francisco Rivadeneyra & Adrian Walton, 2020. "Alternative futures for Government of Canada debt management," Journal of Financial Economic Policy, Emerald Group Publishing Limited, vol. 12(4), pages 659-685, January.
    7. Nguyen, Minh, 2020. "Collateral haircuts and bond yields in the European government bond markets," International Review of Financial Analysis, Elsevier, vol. 69(C).
    8. John Y. Campbell & Robert J. Shiller & Luis M. Viceira, 2009. "Understanding Inflation-Indexed Bond Markets," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 40(1 (Spring), pages 79-138.
    9. Chamon, Marcos & Schumacher, Julian & Trebesch, Christoph, 2018. "Foreign-Law Bonds: Can They Reduce Sovereign Borrowing Costs?," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 114, pages 164-179.
    10. Philipp Harms & David Stefanovits & Josef Teichmann & Mario V. Wuthrich, 2015. "Consistent Re-Calibration of the Discrete-Time Multifactor Vasi\v{c}ek Model," Papers 1512.06454, arXiv.org, revised Sep 2016.
    11. Venetis, Ioannis & Ladas, Avgoustinos, 2022. "Co-movement and global factors in sovereign bond yields," MPRA Paper 115801, University Library of Munich, Germany.
    12. Jondeau, E. & Sedillot, F., 1998. "La prevision des taux longs français et allemands a partir d'un modele a anticipations rationnelles," Working papers 55, Banque de France.
    13. Entrop, Oliver & Fischer, Georg & McKenzie, Michael & Wilkens, Marco & Winkler, Christoph, 2016. "How does pricing affect investors’ product choice? Evidence from the market for discount certificates," Journal of Banking & Finance, Elsevier, vol. 68(C), pages 195-215.
    14. Patrick Büchel & Michael Kratochwil & Maximilian Nagl & Daniel Rösch, 2022. "Deep calibration of financial models: turning theory into practice," Review of Derivatives Research, Springer, vol. 25(2), pages 109-136, July.
    15. Hattori, Takahiro, 2023. "The premium and settlement of CCPs during the financial crisis: Evidence from the JGB market," Journal of International Money and Finance, Elsevier, vol. 132(C).
    16. Mohamed Amine Boutabba & Yves Rannou, 2020. "Investor strategies and Liquidity Premia in the European Green Bond market," Post-Print hal-02544451, HAL.
    17. Pongsak Luangaram & Yuthana Sethapramote & Chutiorn Tontivanichanon, 2015. "Inflation Expectations and Monetary Policy in Thailand," PIER Discussion Papers 3, Puey Ungphakorn Institute for Economic Research.
    18. D’Amico, Stefania & King, Thomas B., 2013. "Flow and stock effects of large-scale treasury purchases: Evidence on the importance of local supply," Journal of Financial Economics, Elsevier, vol. 108(2), pages 425-448.
    19. Seppala, Juha, 2004. "The term structure of real interest rates: theory and evidence from UK index-linked bonds," Journal of Monetary Economics, Elsevier, vol. 51(7), pages 1509-1549, October.
    20. André Lucas & Julia Schaumburg & Bernd Schwaab, 2019. "Bank Business Models at Zero Interest Rates," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 37(3), pages 542-555, July.

    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:wsi:ijtafx:v:11:y:2008:i:05:n:s0219024908004919. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/ijtaf/ijtaf.shtml .

    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.