IDEAS home Printed from https://ideas.repec.org/a/taf/quantf/v11y2011i5p749-762.html
   My bibliography  Save this article

A comprehensive structural model for defaultable fixed-income bonds

Author

Listed:
  • Rossella Agliardi

Abstract

An exact valuation formula for defaultable corporate coupon bonds is proved. The model incorporates discrete coupons, bankruptcy costs, taxes and the market risk generated by a stochastic risk-free structure. The aim of this paper is twofold: first, we generalise previous pricing models for corporate bonds; second, we provide a comprehensive formula in order to properly disentangle the contribution of several risk factors to credit spreads.

Suggested Citation

  • Rossella Agliardi, 2011. "A comprehensive structural model for defaultable fixed-income bonds," Quantitative Finance, Taylor & Francis Journals, vol. 11(5), pages 749-762.
    • Handle: RePEc:taf:quantf:v:11:y:2011:i:5:p:749-762
    DOI: 10.1080/14697680903222451
    as

    Download full text from publisher

    File URL: http://www.tandfonline.com/doi/abs/10.1080/14697680903222451
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/14697680903222451?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. Arturo Bris & Ivo Welch & Ning Zhu, 2006. "The Costs of Bankruptcy: Chapter 7 Liquidation versus Chapter 11 Reorganization," Journal of Finance, American Finance Association, vol. 61(3), pages 1253-1303, June.
    2. Mella-Barral, Pierre & Perraudin, William, 1997. "Strategic Debt Service," Journal of Finance, American Finance Association, vol. 52(2), pages 531-556, June.
    3. Leland, Hayne E, 1994. "Corporate Debt Value, Bond Covenants, and Optimal Capital Structure," Journal of Finance, American Finance Association, vol. 49(4), pages 1213-1252, September.
    4. Jan Ericsson & Joel Reneby, 2003. "Stock options as barrier contingent claims," Applied Mathematical Finance, Taylor & Francis Journals, vol. 10(2), pages 121-147.
    5. Longstaff, Francis A & Schwartz, Eduardo S, 1995. "A Simple Approach to Valuing Risky Fixed and Floating Rate Debt," Journal of Finance, American Finance Association, vol. 50(3), pages 789-819, July.
    6. Fan, Hua & Sundaresan, Suresh M, 2000. "Debt Valuation, Renegotiation, and Optimal Dividend Policy," The Review of Financial Studies, Society for Financial Studies, vol. 13(4), pages 1057-1099.
    7. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
    8. 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.
    9. Edwin J. Elton & Martin J. Gruber & Deepak Agrawal & Christopher Mann, 2001. "Explaining the Rate Spread on Corporate Bonds," Journal of Finance, American Finance Association, vol. 56(1), pages 247-277, February.
    10. Michael J. P. Selby & Stewart D. Hodges, 1987. "On the Evaluation of Compound Options," Management Science, INFORMS, vol. 33(3), pages 347-355, March.
    11. Jarrow, Robert A., 2004. "Risky coupon bonds as a portfolio of zero-coupon bonds," Finance Research Letters, Elsevier, vol. 1(2), pages 100-105, June.
    12. Viral V. Acharya & Jennifer N. Carpenter, 2002. "Corporate Bond Valuation and Hedging with Stochastic Interest Rates and Endogenous Bankruptcy," The Review of Financial Studies, Society for Financial Studies, vol. 15(5), pages 1355-1383.
    13. G. O. Bierwag & George G. Kaufman, 1988. "Durations of nondefault-free securities," Staff Memoranda 88-6, Federal Reserve Bank of Chicago.
    14. Szu-Lang Liao & Hsing-Hua Huang, 2005. "Pricing Black-Scholes options with correlated interest rate risk and credit risk: an extension," Quantitative Finance, Taylor & Francis Journals, vol. 5(5), pages 443-457.
    15. Elettra, Agliardi & Rossella, Agliardi, 2003. "A generalization of the Geske formula for compound options," Mathematical Social Sciences, Elsevier, vol. 45(1), pages 75-82, February.
    16. Vasicek, Oldrich Alfonso, 1977. "Abstract: An Equilibrium Characterization of the Term Structure," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(4), pages 627-627, November.
    17. Altman, Edward I, 1984. "A Further Empirical Investigation of the Bankruptcy Cost Question," Journal of Finance, American Finance Association, vol. 39(4), pages 1067-1089, September.
    18. Chance, Don M, 1990. "Default Risk and the Duration of Zero Coupon Bonds," Journal of Finance, American Finance Association, vol. 45(1), pages 265-274, March.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. M. C. Calvo-Garrido & S. Diop & A. Pascucci & C. V'azquez, 2019. "PDE models for the valuation of a non callable defaultable coupon bond under an extended JDCEV model," Papers 1905.01099, arXiv.org.
    2. Hyong-Chol O & Dong-Hyok Kim & Jong-Jun Jo & Song-Hun Ri, 2013. "Integrals of Higher Binary Options and Defaultable Bond with Discrete Default Information," Papers 1305.6988, arXiv.org, revised Oct 2013.
    3. Hyong-Chol O. & Jong-Chol Kim & Il-Gwang Jon, 2017. "Numerical analysis for a unified 2 factor model of structural and reduced form types for corporate bonds with fixed discrete coupon," Papers 1709.06517, arXiv.org, revised Aug 2018.
    4. Hyong-Chol O & Ji-Sok Kim, 2013. "General Properties of Solutions to Inhomogeneous Black-Scholes Equations with Discontinuous Maturity Payoffs and Application," Papers 1309.6505, arXiv.org, revised Sep 2013.
    5. Hyong-Chol O & Song-Yon Kim & Dong-Hyok Kim & Chol-Hyok Pak, 2013. "Comprehensive Unified Models of Structural and Reduced Form Models for Defaultable Fixed Income Bonds (Part 1: One factor-model, Part 2:Two factors-model)," Papers 1309.1647, arXiv.org, revised Sep 2013.
    6. Hyong Chol O & Tae Song Kim, 2020. "Analysis on the Pricing model for a Discrete Coupon Bond with Early redemption provision by the Structural Approach," Papers 2007.01511, arXiv.org.
    7. Jianping Fu & Xingchun Wang & Yongjin Wang, 2012. "Credit spreads, endogenous bankruptcy and liquidity risk," Computational Management Science, Springer, vol. 9(4), pages 515-530, November.
    8. Chen, Li & Ma, Yong & Xiao, Weilin, 2022. "Pricing defaultable bonds under Hawkes jump-diffusion processes," Finance Research Letters, Elsevier, vol. 47(PB).

    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. Lim, Terence & Lo, Andrew W. & Merton, Robert C. & Scholes, Myron S., 2006. "The Derivatives Sourcebook," Foundations and Trends(R) in Finance, now publishers, vol. 1(5–6), pages 365-572, April.
    2. repec:wyi:journl:002109 is not listed on IDEAS
    3. Duffie, Darrell, 2005. "Credit risk modeling with affine processes," Journal of Banking & Finance, Elsevier, vol. 29(11), pages 2751-2802, November.
    4. Kim, Dong H. & Stock, Duane, 2014. "The effect of interest rate volatility and equity volatility on corporate bond yield spreads: A comparison of noncallables and callables," Journal of Corporate Finance, Elsevier, vol. 26(C), pages 20-35.
    5. Dionne, Georges & Laajimi, Sadok, 2012. "On the determinants of the implied default barrier," Journal of Empirical Finance, Elsevier, vol. 19(3), pages 395-408.
    6. 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.
    7. Maclachlan, Iain C, 2007. "An empirical study of corporate bond pricing with unobserved capital structure dynamics," MPRA Paper 28416, University Library of Munich, Germany.
    8. Abel Elizalde, 2006. "Credit Risk Models II: Structural Models," Working Papers wp2006_0606, CEMFI.
    9. 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.
    10. Guha, Rajiv & Sbuelz, Alessandro & Tarelli, Andrea, 2020. "Structural recovery of face value at default," European Journal of Operational Research, Elsevier, vol. 283(3), pages 1148-1171.
    11. Liu, Liang-Chih & Dai, Tian-Shyr & Wang, Chuan-Ju, 2016. "Evaluating corporate bonds and analyzing claim holders’ decisions with complex debt structure," Journal of Banking & Finance, Elsevier, vol. 72(C), pages 151-174.
    12. 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.
    13. Schaefer, Stephen M. & Strebulaev, Ilya A., 2008. "Structural models of credit risk are useful: Evidence from hedge ratios on corporate bonds," Journal of Financial Economics, Elsevier, vol. 90(1), pages 1-19, October.
    14. Antonio Trujillo-Ponce & Reyes Samaniego-Medina & Clara Cardone-Riportella, 2014. "Examining what best explains corporate credit risk: accounting-based versus market-based models," Journal of Business Economics and Management, Taylor & Francis Journals, vol. 15(2), pages 253-276, April.
    15. Jaewon Choi & Matthew P. Richardson & Robert F. Whitelaw, 2014. "On the Fundamental Relation Between Equity Returns and Interest Rates," NBER Working Papers 20187, National Bureau of Economic Research, Inc.
    16. Perrakis, Stylianos & Zhong, Rui, 2015. "Credit spreads and state-dependent volatility: Theory and empirical evidence," Journal of Banking & Finance, Elsevier, vol. 55(C), pages 215-231.
    17. Nejadmalayeri, Ali & Singh, Manohar, 2012. "Corporate taxes, strategic default, and the cost of debt," Journal of Banking & Finance, Elsevier, vol. 36(11), pages 2900-2916.
    18. Jonathan Batten & Warren Hogan & Francis In, 2002. "Valuing Credit Spreads on Quality Australian Dollar Eurobonds in a Multivariate EGARCH Framework," Australian Economic Papers, Wiley Blackwell, vol. 41(1), pages 115-128, March.
    19. Martellini, Lionel & Milhau, Vincent & Tarelli, Andrea, 2018. "Capital structure decisions and the optimal design of corporate market debt prograams," Journal of Corporate Finance, Elsevier, vol. 49(C), pages 141-167.
    20. Kraft, Holger & Munk, Claus, 2007. "Bond durations: Corporates vs. Treasuries," Journal of Banking & Finance, Elsevier, vol. 31(12), pages 3720-3741, December.
    21. Correia, Ricardo & Población, Javier, 2015. "A structural model with Explicit Distress," Journal of Banking & Finance, Elsevier, vol. 58(C), pages 112-130.

    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:quantf:v:11:y:2011:i:5:p:749-762. 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/RQUF20 .

    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.