IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/21974.html
   My bibliography  Save this paper

Valuing Coupon Bond Linked to Variable Interest Rate

Author

Listed:
  • Giandomenico, Rossano

Abstract

The paper analyses coupon bonds linked to variable interest rate in a contingent claim approach such that it can be decomposed in elementary options on interest rate and options to default. It is considered the case of continuous arithmetic average of interest rate in a simple capitalization to value the variable coupon paid by the bonds at maturity. The paper determines the expected interest rate on the bonds and the risk spread due to the default risk.

Suggested Citation

  • Giandomenico, Rossano, 2008. "Valuing Coupon Bond Linked to Variable Interest Rate," MPRA Paper 21974, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:21974
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/21974/1/MPRA_paper_21974.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Merton, Robert C, 1974. "On the Pricing of Corporate Debt: The Risk Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 29(2), pages 449-470, May.
    2. David Heath & Robert Jarrow & Andrew Morton, 2008. "Bond Pricing And The Term Structure Of Interest Rates: A New Methodology For Contingent Claims Valuation," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 13, pages 277-305, World Scientific Publishing Co. Pte. Ltd..
    3. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    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. Bjork, Tomas, 2009. "Arbitrage Theory in Continuous Time," OUP Catalogue, Oxford University Press, edition 3, number 9780199574742, Decembrie.
    2. Samuel Chege Maina, 2011. "Credit Risk Modelling in Markovian HJM Term Structure Class of Models with Stochastic Volatility," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 1-2011, January-A.
    3. Duffie, Darrell, 2003. "Intertemporal asset pricing theory," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, edition 1, volume 1, chapter 11, pages 639-742, Elsevier.
    4. Brent Ambrose & Yildiray Yildirim, 2008. "Credit Risk and the Term Structure of Lease Rates: A Reduced Form Approach," The Journal of Real Estate Finance and Economics, Springer, vol. 37(3), pages 281-298, October.
    5. Leonard Tchuindjo, 2007. "Pricing of Multi-Defaultable Bonds with a Two-Correlated-Factor Hull-White Model," Applied Mathematical Finance, Taylor & Francis Journals, vol. 14(1), pages 19-39.
    6. Arismendi-Zambrano, Juan & Belitsky, Vladimir & Sobreiro, Vinicius Amorim & Kimura, Herbert, 2022. "The implications of dependence, tail dependence, and bounds’ measures for counterparty credit risk pricing," Journal of Financial Stability, Elsevier, vol. 58(C).
    7. Saa-Requejo, Jesus & Santa-Clara, Pedro, 1997. "Bond Pricing with Default Risk," University of California at Los Angeles, Anderson Graduate School of Management qt3w71g2ch, Anderson Graduate School of Management, UCLA.
    8. Schonbucher, Philipp, 1997. "Term structure modelling of defaultable bonds," LSE Research Online Documents on Economics 119168, London School of Economics and Political Science, LSE Library.
    9. J. C. Arismendi-Zambrano & Vladimir Belitsky & Vinicius Amorim Sobreiro & Herbert Kimura, 2020. "The Implications of Tail Dependency Measures for Counterparty Credit Risk Pricing," Economics Department Working Paper Series n306-20.pdf, Department of Economics, National University of Ireland - Maynooth.
    10. Ramaprasad Bhar, 2010. "Stochastic Filtering with Applications in Finance," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 7736.
    11. Chiarella, Carl & Fanelli, Viviana & Musti, Silvana, 2011. "Modelling the evolution of credit spreads using the Cox process within the HJM framework: A CDS option pricing model," European Journal of Operational Research, Elsevier, vol. 208(2), pages 95-108, January.
    12. Sebastián A. Rey, 2016. "Theory of long-term interest rates," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 3(03), pages 1-18, September.
    13. Bahadursingh, Roman, 2024. "Portfolio Management Using the Complex Wishart Distribution," Thesis Commons ma2hx_v1, Center for Open Science.
    14. Viviana Fanelli & Silvana Musti, 2007. "Modelling Credit Spreads evolution using the Cox Process within the HJM framework," Quaderni DSEMS 27-2007, Dipartimento di Scienze Economiche, Matematiche e Statistiche, Universita' di Foggia.
    15. Suresh M. Sundaresan, 2000. "Continuous‐Time Methods in Finance: A Review and an Assessment," Journal of Finance, American Finance Association, vol. 55(4), pages 1569-1622, August.
    16. Tao Peng, 2010. "Portfolio Credit Risk Modelling and CDO Pricing - Analytics and Implied Trees from CDO Tranches," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 8, July-Dece.
    17. Norbert Jobst & Stavros A. Zenios, 2001. "Extending Credit Risk (Pricing) Models for the Simulation of Portfolios of Interest Rate and Credit Risk Sensitive Securities," Center for Financial Institutions Working Papers 01-25, Wharton School Center for Financial Institutions, University of Pennsylvania.
    18. Chiang, Shu Ling & Tsai, Ming Shann, 2020. "The valuation of deposit insurance allowing for the interest rate spread and early-bankruptcy risk," The Quarterly Review of Economics and Finance, Elsevier, vol. 76(C), pages 345-356.
    19. repec:wyi:journl:002109 is not listed on IDEAS
    20. Samuel Chege Maina, 2011. "Credit Risk Modelling in Markovian HJM Term Structure Class of Models with Stochastic Volatility," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 5, July-Dece.
    21. Giandomenico, Rossano, 2006. "Asset Liability Management in Insurance Company," MPRA Paper 16333, University Library of Munich, Germany, revised Jan 2009.

    More about this item

    Keywords

    Contingent claim; Asian option; Stochastic continuous process;
    All these keywords.

    JEL classification:

    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

    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:pra:mprapa:21974. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    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.