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Estimation of the Default Risk of Publicly Traded Canadian Companies


  • Georges Dionne
  • Sadok Laajimi
  • Sofiane Mejri
  • Madalina Petrescu


Two models of default risk are prominent in the financial literature: Merton's structural model and Altman's non-structural model. Merton's structural model has the benefit of being responsive, since the probabilities of default can continually be updated with the evolution of firms' asset values. Its main flaw lies in the fact that it may over- or underestimate the probabilities of default, since asset values are unobservable and must be extrapolated from the share prices. Altman's nonstructural model, on the other hand, is more precise, since it uses firms' accounting data-but it is less flexible. In this paper, the authors investigate the hybrid contingent claims approach with publicly traded Canadian companies listed on the Toronto Stock Exchange. The authors' goal is to assess how their ability to predict companies' probability of default is improved by combining the companies' continuous market valuation (structural model) with the value given in their financial statements (non-structural model). The authors' results indicate that the predicted structural probabilities of default (PDs from the structural model) contribute significantly to explaining default probabilities when PDs are included alongside the retained accounting variables in the hybrid model. The authors also show that quarterly updates to the PDs add a large amount of dynamic information to explain the probabilities of default over the course of a year. This flexibility would not be possible with a non-structural model. The authors conduct a preliminary analysis of correlations between structural probabilities of default for the firms in their database. Their results indicate that there are substantial correlations in the studied data.

Suggested Citation

  • Georges Dionne & Sadok Laajimi & Sofiane Mejri & Madalina Petrescu, 2006. "Estimation of the Default Risk of Publicly Traded Canadian Companies," Staff Working Papers 06-28, Bank of Canada.
  • Handle: RePEc:bca:bocawp:06-28

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    References listed on IDEAS

    1. Brennan, Michael J & Schwartz, Edwardo S, 1978. "Corporate Income Taxes, Valuation, and the Problem of Optimal Capital Structure," The Journal of Business, University of Chicago Press, vol. 51(1), pages 103-114, January.
    2. Crouhy, Michel & Galai, Dan & Mark, Robert, 2000. "A comparative analysis of current credit risk models," Journal of Banking & Finance, Elsevier, vol. 24(1-2), pages 59-117, January.
    3. Briys, Eric & de Varenne, François, 1997. "Valuing Risky Fixed Rate Debt: An Extension," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 32(02), pages 239-248, June.
    4. Robert C. Merton, 2005. "Theory of rational option pricing," World Scientific Book Chapters,in: Theory Of Valuation, chapter 8, pages 229-288 World Scientific Publishing Co. Pte. Ltd..
    5. Gordy, Michael B., 2000. "A comparative anatomy of credit risk models," Journal of Banking & Finance, Elsevier, vol. 24(1-2), pages 119-149, January.
    6. M. Tudela & G. Young, 2005. "A Merton-Model Approach To Assessing The Default Risk Of Uk Public Companies," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 8(06), pages 737-761.
    7. Robert A. Jarrow & Stuart M. Turnbull, 2008. "Pricing Derivatives on Financial Securities Subject to Credit Risk," World Scientific Book Chapters,in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 17, pages 377-409 World Scientific Publishing Co. Pte. Ltd..
    8. Georges Dionne & Geneviève Gauthier & Khemais Hammami & Mathieu Maurice & Jean-Guy Simonato, 2010. "Default Risk in Corporate Yield Spreads," Financial Management, Financial Management Association International, vol. 39(2), pages 707-731, June.
    9. 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.
    10. Chunsheng Zhou, 1997. "A jump-diffusion approach to modeling credit risk and valuing defaultable securities," Finance and Economics Discussion Series 1997-15, Board of Governors of the Federal Reserve System (U.S.).
    11. 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.
    12. Jin-Chuan Duan & Andras Fulop, 2005. "Estimating the Structural Credit Risk Model When Equity Prices Are Contaminated by Trading Noises," IEHAS Discussion Papers 0517, Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences.
    13. Robert A. Jarrow & David Lando & Stuart M. Turnbull, 2008. "A Markov Model for the Term Structure of Credit Risk Spreads," World Scientific Book Chapters,in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 18, pages 411-453 World Scientific Publishing Co. Pte. Ltd..
    14. 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.
    15. Geroski,Paul A. & Gregg,Paul, 1997. "Coping with Recession," Cambridge Books, Cambridge University Press, number 9780521622769, March.
    16. Brockman, Paul & Turtle, H. J., 2003. "A barrier option framework for corporate security valuation," Journal of Financial Economics, Elsevier, vol. 67(3), pages 511-529, March.
    17. Maria Vassalou & Yuhang Xing, 2004. "Default Risk in Equity Returns," Journal of Finance, American Finance Association, vol. 59(2), pages 831-868, April.
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    Cited by:

    1. Hui Hu & Milind Sathye, 2015. "Predicting Financial Distress in the Hong Kong Growth Enterprises Market from the Perspective of Financial Sustainability," Sustainability, MDPI, Open Access Journal, vol. 7(2), pages 1-15, January.
    2. Reisz, Alexander S. & Perlich, Claudia, 2007. "A market-based framework for bankruptcy prediction," Journal of Financial Stability, Elsevier, vol. 3(2), pages 85-131, July.
    3. Maria Giuli & Dean Fantazzini & Mario Maggi, 2008. "A New Approach for Firm Value and Default Probability Estimation beyond Merton Models," Computational Economics, Springer;Society for Computational Economics, vol. 31(2), pages 161-180, March.

    More about this item


    Debt management; Credit and credit aggregates; Financial markets; Recent economic and financial developments; Econometric and statistical methods;

    JEL classification:

    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages
    • G24 - Financial Economics - - Financial Institutions and Services - - - Investment Banking; Venture Capital; Brokerage
    • G28 - Financial Economics - - Financial Institutions and Services - - - Government Policy and Regulation
    • G33 - Financial Economics - - Corporate Finance and Governance - - - Bankruptcy; Liquidation

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