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Stock price default boundary: A Black-Cox model approach

Author

Listed:
  • Shi, Yunkun
  • Stasinakis, Charalampos
  • Xu, Yaofei
  • Yan, Cheng
  • Zhang, Xuan

Abstract

In this paper, we incorporate the information from Credit Default Swap (CDS) and options markets to extract the relative default boundary at the stock price level. We propose a reduced-form Black-Cox Model (BCM) with a Deterministic Linear Function (DLF) to extract default information from the CDS and options market to gauge the default boundaries. Using S&P 500 index, CDS, and options data from 2002 to 2017, we extract default boundaries for S&P 500 index via the Unscented Kalman Filter (UKF). Our results suggest that our method performs well when compared with the historical mean relative default boundaries and the recent Unit Recovery Claim (URC)-based default boundaries.

Suggested Citation

  • Shi, Yunkun & Stasinakis, Charalampos & Xu, Yaofei & Yan, Cheng & Zhang, Xuan, 2022. "Stock price default boundary: A Black-Cox model approach," International Review of Financial Analysis, Elsevier, vol. 83(C).
    • Handle: RePEc:eee:finana:v:83:y:2022:i:c:s105752192200240x
    DOI: 10.1016/j.irfa.2022.102284
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    References listed on IDEAS

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    1. Giovanni Favara & Enrique Schroth & Philip Valta, 2012. "Strategic Default and Equity Risk Across Countries," Journal of Finance, American Finance Association, vol. 67(6), pages 2051-2095, December.
    2. Peter Carr & Liuren Wu, 2010. "Stock Options and Credit Default Swaps: A Joint Framework for Valuation and Estimation," Journal of Financial Econometrics, Oxford University Press, vol. 8(4), pages 409-449, Fall.
    3. 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.
    4. Hao Zhou, 2018. "Variance Risk Premia, Asset Predictability Puzzles, and Macroeconomic Uncertainty," Annual Review of Financial Economics, Annual Reviews, vol. 10(1), pages 481-497, November.
    5. Bernales, Alejandro & Guidolin, Massimo, 2014. "Can we forecast the implied volatility surface dynamics of equity options? Predictability and economic value tests," Journal of Banking & Finance, Elsevier, vol. 46(C), pages 326-342.
    6. 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.
    7. 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.
    8. Edmans, Alex, 2011. "Does the stock market fully value intangibles? Employee satisfaction and equity prices," Journal of Financial Economics, Elsevier, vol. 101(3), pages 621-640, September.
    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. Peter Carr & Liuren Wu, 2020. "Option Profit and Loss Attribution and Pricing: A New Framework," Journal of Finance, American Finance Association, vol. 75(4), pages 2271-2316, August.
    11. Da Fonseca, José & Gottschalk, Katrin, 2014. "Cross-hedging strategies between CDS spreads and option volatility during crises," Journal of International Money and Finance, Elsevier, vol. 49(PB), pages 386-400.
    12. Itamar Drechsler, 2013. "Uncertainty, Time-Varying Fear, and Asset Prices," Journal of Finance, American Finance Association, vol. 68(5), pages 1843-1889, October.
    13. Peter Carr & Liuren Wu, 2011. "A Simple Robust Link Between American Puts and Credit Protection," The Review of Financial Studies, Society for Financial Studies, vol. 24(2), pages 473-505.
    14. Pierre Collin-Dufresn & Robert S. Goldstein & J. Spencer Martin, 2001. "The Determinants of Credit Spread Changes," Journal of Finance, American Finance Association, vol. 56(6), pages 2177-2207, December.
    15. Carr, Peter & Wu, Liuren, 2016. "Analyzing volatility risk and risk premium in option contracts: A new theory," Journal of Financial Economics, Elsevier, vol. 120(1), pages 1-20.
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    More about this item

    Keywords

    Credit default swap; Default boundary; Implied volatility; Options; Unscented Kalman filter;
    All these keywords.

    JEL classification:

    • C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General
    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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