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On Modeling Economic Default Time: A Reduced-Form Model Approach

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  • Jia-Wen Gu
  • Bo Jiang
  • Wai-Ki Ching
  • Harry Zheng

Abstract

In the aftermath of the global financial crisis, much attention has been paid to investigating the appropriateness of the current practice of default risk modeling in banking, finance and insurance industries. A recent empirical study by Guo et al.(2008) shows that the time difference between the economic and recorded default dates has a significant impact on recovery rate estimates. Guo et al.(2011) develop a theoretical structural firm asset value model for a firm default process that embeds the distinction of these two default times. To be more consistent with the practice, in this paper, we assume the market participants cannot observe the firm asset value directly and developed a reduced-form model to characterize the economic and recorded default times. We derive the probability distribution of these two default times. The numerical study on the difference between these two shows that our proposed model can both capture the features and fit the empirical data.

Suggested Citation

  • Jia-Wen Gu & Bo Jiang & Wai-Ki Ching & Harry Zheng, 2013. "On Modeling Economic Default Time: A Reduced-Form Model Approach," Papers 1306.6402, arXiv.org.
  • Handle: RePEc:arx:papers:1306.6402
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    1. Xin Guo & Robert A. Jarrow & Adrien de Larrard, 2014. "The economic default time and the arcsine law," Journal of Financial Engineering (JFE), World Scientific Publishing Co. Pte. Ltd., vol. 1(03), pages 1-18.
    2. 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..
    3. 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.
    4. Ivashina, Victoria & Scharfstein, David, 2010. "Bank lending during the financial crisis of 2008," Journal of Financial Economics, Elsevier, vol. 97(3), pages 319-338, September.
    5. Xin Guo & Robert Jarrow & Haizhi Lin, 2008. "Distressed debt prices and recovery rate estimation," Review of Derivatives Research, Springer, vol. 11(3), pages 171-204, October.
    6. 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.
    7. Baek, Jae-Seung & Kang, Jun-Koo & Suh Park, Kyung, 2004. "Corporate governance and firm value: evidence from the Korean financial crisis," Journal of Financial Economics, Elsevier, vol. 71(2), pages 265-313, February.
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    Cited by:

    1. Feng-Hui Yu & Jiejun Lu & Jia-Wen Gu & Wai-Ki Ching, 2019. "Modeling Credit Risk with Hidden Markov Default Intensity," Computational Economics, Springer;Society for Computational Economics, vol. 54(3), pages 1213-1229, October.

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