IDEAS home Printed from https://ideas.repec.org/p/bca/bocawp/08-1.html
   My bibliography  Save this paper

Default Dependence: The Equity Default Relationship

Author

Listed:
  • Stuart Turnbull
  • Jun Yang

Abstract

The paper examines three equity-based structural models to study the nonlinear relationship between equity and credit default swap (CDS) prices. These models differ in the specification of the default barrier. With cross-firm CDS premia and equity information, we are able to estimate and compare the three models. We find that the stochastic barrier model performs better than the constant and uncertain barrier models in terms of both in-sample fit and out-of-sample forecasting of CDS premia. In addition, we demonstrate a linkage between the default barrier, jump intensity, and barrier volatility estimated from our models and firm-specific variables related to default risk, such as credit ratings, equity volatility, and leverage ratios.

Suggested Citation

  • Stuart Turnbull & Jun Yang, 2008. "Default Dependence: The Equity Default Relationship," Staff Working Papers 08-1, Bank of Canada.
  • Handle: RePEc:bca:bocawp:08-1
    as

    Download full text from publisher

    File URL: https://www.bankofcanada.ca/wp-content/uploads/2010/02/wp08-1.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Newey, Whitney & West, Kenneth, 2014. "A simple, positive semi-definite, heteroscedasticity and autocorrelation consistent covariance matrix," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 33(1), pages 125-132.
    2. Fama, Eugene F & French, Kenneth R, 1992. "The Cross-Section of Expected Stock Returns," Journal of Finance, American Finance Association, vol. 47(2), pages 427-465, June.
    3. Roberto Blanco & Simon Brennan & Ian W Marsh, 2004. "An empirical analysis of the dynamic relationship between investment-grade bonds and credit default swaps," Bank of England working papers 211, Bank of England.
    4. Ericsson, Jan & Jacobs, Kris & Oviedo, Rodolfo, 2009. "The Determinants of Credit Default Swap Premia," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 44(1), pages 109-132, February.
    5. Leland, Hayne E & Toft, Klaus Bjerre, 1996. "Optimal Capital Structure, Endogenous Bankruptcy, and the Term Structure of Credit Spreads," Journal of Finance, American Finance Association, vol. 51(3), pages 987-1019, July.
    6. 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.
    7. Haibin Zhu, 2004. "An empirical comparison of credit spreads between the bond market and the credit default swap market," BIS Working Papers 160, Bank for International Settlements.
    8. Cao, Charles & Yu, Fan & Zhong, Zhaodong, 2010. "The information content of option-implied volatility for credit default swap valuation," Journal of Financial Markets, Elsevier, vol. 13(3), pages 321-343, August.
    9. White, Halbert, 1980. "A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity," Econometrica, Econometric Society, vol. 48(4), pages 817-838, May.
    10. Benjamin Yibin Zhang & Hao Zhou & Haibin Zhu, 2009. "Explaining Credit Default Swap Spreads with the Equity Volatility and Jump Risks of Individual Firms," The Review of Financial Studies, Society for Financial Studies, vol. 22(12), pages 5099-5131, December.
    11. John Y. Campbell & Glen B. Taksler, 2003. "Equity Volatility and Corporate Bond Yields," Journal of Finance, American Finance Association, vol. 58(6), pages 2321-2350, December.
    12. Young Ho Eom, 2004. "Structural Models of Corporate Bond Pricing: An Empirical Analysis," The Review of Financial Studies, Society for Financial Studies, vol. 17(2), pages 499-544.
    13. 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.
    14. Zhou, Chunsheng, 2001. "An Analysis of Default Correlations and Multiple Defaults," The Review of Financial Studies, Society for Financial Studies, vol. 14(2), pages 555-576.
    15. 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.
    16. Giesecke, Kay, 2001. "Correlated default with incomplete information," SFB 373 Discussion Papers 2002,30, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    17. Pierre Collin‐Dufresne & Bruno Solnik, 2001. "On the Term Structure of Default Premia in the Swap and LIBOR Markets," Journal of Finance, American Finance Association, vol. 56(3), pages 1095-1115, June.
    18. Vuong, Quang H, 1989. "Likelihood Ratio Tests for Model Selection and Non-nested Hypotheses," Econometrica, Econometric Society, vol. 57(2), pages 307-333, March.
    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. Avino, Davide & Nneji, Ogonna, 2014. "Are CDS spreads predictable? An analysis of linear and non-linear forecasting models," International Review of Financial Analysis, Elsevier, vol. 34(C), pages 262-274.
    2. Benjamin Yibin Zhang & Hao Zhou & Haibin Zhu, 2009. "Explaining Credit Default Swap Spreads with the Equity Volatility and Jump Risks of Individual Firms," The Review of Financial Studies, Society for Financial Studies, vol. 22(12), pages 5099-5131, December.
    3. Davide E Avino & Enrique Salvador, 2024. "Contingent Claims and Hedging of Credit Risk with Equity Options," The Review of Asset Pricing Studies, Society for Financial Studies, vol. 14(2), pages 310-348.
    4. 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.
    5. Ann Marie Hibbert & Ivelina Pavlova & Joel Barber & Krishnan Dandapani, 2011. "Credit Spread Changes and Equity Volatility: Evidence from Daily Data," The Financial Review, Eastern Finance Association, vol. 46(3), pages 357-383, August.
    6. Alan V. S. Douglas & Alan G. Huang & Kenneth R. Vetzal, 2016. "Cash flow volatility and corporate bond yield spreads," Review of Quantitative Finance and Accounting, Springer, vol. 46(2), pages 417-458, February.
    7. Augustin, Patrick & Subrahmanyam, Marti G. & Tang, Dragon Yongjun & Wang, Sarah Qian, 2014. "Credit Default Swaps: A Survey," Foundations and Trends(R) in Finance, now publishers, vol. 9(1-2), pages 1-196, December.
    8. Antonio Di Cesare & Giovanni Guazzarotti, 2010. "An analysis of the determinants of credit default swap spread changes before and during the subprime financial turmoil," Temi di discussione (Economic working papers) 749, Bank of Italy, Economic Research and International Relations Area.
    9. Han-Hsing Lee, 2020. "Distress risk, product market competition, and corporate bond yield spreads," Review of Quantitative Finance and Accounting, Springer, vol. 55(3), pages 1093-1135, October.
    10. Specht, Leon, 2023. "An Empirical Analysis of European Credit Default Swap Spread Dynamics," Junior Management Science (JUMS), Junior Management Science e. V., vol. 8(1), pages 1-42.
    11. 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.
    12. Maclachlan, Iain C, 2007. "An empirical study of corporate bond pricing with unobserved capital structure dynamics," MPRA Paper 28416, University Library of Munich, Germany.
    13. Tang, Dragon Yongjun & Yan, Hong, 2010. "Market conditions, default risk and credit spreads," Journal of Banking & Finance, Elsevier, vol. 34(4), pages 743-753, April.
    14. Deniz Anginer & Çelim Yıldızhan, 2018. "Is There a Distress Risk Anomaly? Pricing of Systematic Default Risk in the Cross-section of Equity Returns [The risk-adjusted cost of financial distress]," Review of Finance, European Finance Association, vol. 22(2), pages 633-660.
    15. repec:wyi:journl:002109 is not listed on IDEAS
    16. Han, Bing & Zhou, Yi, 2015. "Understanding the term structure of credit default swap spreads," Journal of Empirical Finance, Elsevier, vol. 31(C), pages 18-35.
    17. Zimmermann, Paul, 2021. "The role of the leverage effect in the price discovery process of credit markets," Journal of Economic Dynamics and Control, Elsevier, vol. 122(C).
    18. Forte, Santiago, 2006. "Credit spreads: theory and evidence about the information content of stocks, bonds and cdss," DEE - Working Papers. Business Economics. WB wb063310, Universidad Carlos III de Madrid. Departamento de Economía de la Empresa.
    19. Jang, Bong-Gyu & Rhee, Yuna & Yoon, Ji Hee, 2016. "Business cycle and credit risk modeling with jump risks," Journal of Empirical Finance, Elsevier, vol. 39(PA), pages 15-36.
    20. Zhijian (James) Huang & Yuchen Luo, 2016. "Revisiting Structural Modeling of Credit Risk—Evidence from the Credit Default Swap (CDS) Market," JRFM, MDPI, vol. 9(2), pages 1-20, May.
    21. Wang, Hao & Zhou, Hao & Zhou, Yi, 2013. "Credit default swap spreads and variance risk premia," Journal of Banking & Finance, Elsevier, vol. 37(10), pages 3733-3746.

    More about this item

    Keywords

    Econometric and statistical methods; Financial markets;

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:bca:bocawp:08-1. 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: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/bocgvca.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.