IDEAS home Printed from https://ideas.repec.org/a/taf/apmtfi/v6y1999i4p261-273.html
   My bibliography  Save this article

The pricing of risky coupon bonds

Author

Listed:
  • Lilly Choong
  • George McKenzie

Abstract

It is shown that bond valuation without due consideration to debt-servicing arrangements can lead to a misspecification of default risks and hence in the credit rating attached to the bond. The general conclusion is that default probabilities depend not only upon a firm's leverage and the volatitily of its underlying asset returns but also on how its debt is funded. Unfortunately, there is no one single exposition in the literature which deals with this problem. The paper compares, in a systematic way, the structure of alternative debt-servicing arrangements and sinking fund provisions, first from a theoretical perspective and then through the use of numerical simulations. The existing theoretical literature takes one of two approaches: first, where the funding of coupons takes place through the issue of new equity, and second, where the coupons are funded through deductions from the assets of the issuer. Both involve different stochastic processes and valuation procedures. These two cases are each examined under two different scenarios: (i) payment of the coupon at each servicing date with face value repaid at maturity; and (ii) a sinking fund involving mandatory redemption where firms retire a proportion of the debt each period at face value in addition to making coupon payments on the outstanding debt. Each of these four scenarios has different implications for default risk.

Suggested Citation

  • Lilly Choong & George McKenzie, 1999. "The pricing of risky coupon bonds," Applied Mathematical Finance, Taylor & Francis Journals, vol. 6(4), pages 261-273.
  • Handle: RePEc:taf:apmtfi:v:6:y:1999:i:4:p:261-273
    DOI: 10.1080/13504869950079284
    as

    Download full text from publisher

    File URL: http://www.tandfonline.com/doi/abs/10.1080/13504869950079284
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1080/13504869950079284?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. Black, Fischer & Cox, John C, 1976. "Valuing Corporate Securities: Some Effects of Bond Indenture Provisions," Journal of Finance, American Finance Association, vol. 31(2), pages 351-367, May.
    2. 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.
    3. Ho, Thomas & Singer, Ronald F, 1984. "The Value of Corporate Debt with a Sinking-Fund Provision," The Journal of Business, University of Chicago Press, vol. 57(3), pages 315-336, July.
    4. Geske, Robert, 1977. "The Valuation of Corporate Liabilities as Compound Options," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(4), pages 541-552, November.
    5. 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. Augusto Castillo, 2004. "Firm and Corporate Bond Valuation: A Simulation Dynamic Programming Approach," Latin American Journal of Economics-formerly Cuadernos de Economía, Instituto de Economía. Pontificia Universidad Católica de Chile., vol. 41(124), pages 345-360.
    2. Chen, An-Sing & Chu, Hsiang-Hui & Hung, Pi-Hsia & Cheng, Miao-Sih, 2020. "Financial risk and acquirers' stockholder wealth in mergers and acquisitions," The North American Journal of Economics and Finance, Elsevier, vol. 54(C).
    3. Giesecke, Kay & Longstaff, Francis A. & Schaefer, Stephen & Strebulaev, Ilya, 2011. "Corporate bond default risk: A 150-year perspective," Journal of Financial Economics, Elsevier, vol. 102(2), pages 233-250.
    4. Duffie, Darrell, 2005. "Credit risk modeling with affine processes," Journal of Banking & Finance, Elsevier, vol. 29(11), pages 2751-2802, November.
    5. 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.
    6. Abel Elizalde, 2006. "Credit Risk Models II: Structural Models," Working Papers wp2006_0606, CEMFI.
    7. Maria Carmen Badia Batlle & M. Mercedes Galisteo Rodriguez & M. Teresa Preixens Benedicto, 2006. "Un modelo de riesgo de credito basado en opciones compuestas con barrera. Aplicacion al mercado continuo espanol," Working Papers in Economics 156, Universitat de Barcelona. Espai de Recerca en Economia.
    8. 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.
    9. Sanjiv Ranjan Das & Rangarajan K. Sundaram, 1998. "A Direct Approach to Arbitrage-Free Pricing of Derivatives," New York University, Leonard N. Stern School Finance Department Working Paper Seires 99-013, New York University, Leonard N. Stern School of Business-.
    10. International Association of Deposit Insurers, 2011. "Evaluation of Deposit Insurance Fund Sufficiency on the Basis of Risk Analysis," IADI Research Papers 11-11, International Association of Deposit Insurers.
    11. Duffee, Gregory R., 1996. "On measuring credit risks of derivative instruments," Journal of Banking & Finance, Elsevier, vol. 20(5), pages 805-833, June.
    12. Hann-Shing Ju & Ren-Raw Chen & Shih-Kuo Yeh & Tung-Hsiao Yang, 2015. "Evaluation of conducting capital structure arbitrage using the multi-period extended Geske–Johnson model," Review of Quantitative Finance and Accounting, Springer, vol. 44(1), pages 89-111, January.
    13. Eichler, Stefan & Karmann, Alexander & Maltritz, Dominik, 2010. "Deriving the term structure of banking crisis risk with a compound option approach: The case of Kazakhstan," Discussion Paper Series 2: Banking and Financial Studies 2010,01, Deutsche Bundesbank.
    14. Fernández, Pablo, 1996. "Convertible bonds in Spain: A different security," IESE Research Papers D/311, IESE Business School.
    15. Bougias, Alexandros & Episcopos, Athanasios & Leledakis, George N., 2022. "The role of asset payouts in the estimation of default barriers," International Review of Financial Analysis, Elsevier, vol. 81(C).
    16. van Landschoot, A., 2003. "The Term Structure of Credit Spreads on Euro Corporate Bonds," Other publications TiSEM f5164bb2-6597-48c4-8b44-d, Tilburg University, School of Economics and Management.
    17. Chen, Ren-Raw & Chidambaran, N.K. & Imerman, Michael B. & Sopranzetti, Ben J., 2014. "Liquidity, leverage, and Lehman: A structural analysis of financial institutions in crisis," Journal of Banking & Finance, Elsevier, vol. 45(C), pages 117-139.
    18. Jing-Zhi Huang & Zhan Shi & Hao Zhou, 2020. "Specification Analysis of Structural Credit Risk Models [Corporate bond valuation and hedging with stochastic interest rates and endogenous bankruptcy]," Review of Finance, European Finance Association, vol. 24(1), pages 45-98.
    19. Astrid Van Landschoot, 2004. "Determinants of Euro Term Structure of Credit Spreads," Working Paper Research 57, National Bank of Belgium.
    20. Martin Dòzsa & Karel Janda, 2015. "Corporate asset pricing models and debt contracts," CAMA Working Papers 2015-33, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.

    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:taf:apmtfi:v:6:y:1999:i:4:p:261-273. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/RAMF20 .

    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.