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Explaining CDS prices with Merton’s model before and after the Lehman default

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  • Gemmill, Gordon
  • Marra, Miriam

Abstract

We examine whether CDS prices around the Credit Crisis can be explained with Merton’s model. First we invert the model with market prices to reveal skewed volatility smiles over the whole 2005–2012 period. Then we calibrate the model to pre-Crisis data in two novel ways that allow for skewness, one based on equity-index options (MEIV) and the other on the sensitivity of CDS prices to equity volatility (MSKEW). In out-of-sample forecasts both calibrations match the in-Crisis peak of prices, but the second is better at capturing the systematic component of prices thereafter. Average CDS prices remain at twice their pre-Crisis level long after that event; the MSKEW calibration demonstrates that this is due to extra idiosyncratic risks, which are important for some firms but have negligible impact on others.

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  • Gemmill, Gordon & Marra, Miriam, 2019. "Explaining CDS prices with Merton’s model before and after the Lehman default," Journal of Banking & Finance, Elsevier, vol. 106(C), pages 93-109.
    • Handle: RePEc:eee:jbfina:v:106:y:2019:i:c:p:93-109
    DOI: 10.1016/j.jbankfin.2019.05.013
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    as
    1. Jones, E Philip & Mason, Scott P & Rosenfeld, Eric, 1984. "Contingent Claims Analysis of Corporate Capital Structures: An Empirical Investigation," Journal of Finance, American Finance Association, vol. 39(3), pages 611-625, July.
    2. Sergio Mayordomo & Juan Ignacio Peña & Eduardo S. Schwartz, 2014. "Are All Credit Default Swap Databases Equal?," European Financial Management, European Financial Management Association, vol. 20(4), pages 677-713, September.
    3. Pierre Collin-Dufresne & Robert S. Goldstein & Jean Helwege, 2010. "Is Credit Event Risk Priced? Modeling Contagion via the Updating of Beliefs," NBER Working Papers 15733, National Bureau of Economic Research, Inc.
    4. Cremers, Martijn & Driessen, Joost & Maenhout, Pascal & Weinbaum, David, 2008. "Individual stock-option prices and credit spreads," Journal of Banking & Finance, Elsevier, vol. 32(12), pages 2706-2715, December.
    5. Gemmill, Gordon & Keswani, Aneel, 2011. "Downside risk and the size of credit spreads," Journal of Banking & Finance, Elsevier, vol. 35(8), pages 2021-2036, August.
    6. Geske, Robert, 1979. "The valuation of compound options," Journal of Financial Economics, Elsevier, vol. 7(1), pages 63-81, March.
    7. Pierre Collin-Dufresne & Robert S. Goldstein & Fan Yang, 2012. "On the Relative Pricing of Long-Maturity Index Options and Collateralized Debt Obligations," Journal of Finance, American Finance Association, vol. 67(6), pages 1983-2014, December.
    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. Jack Bao & Jun Pan, 2013. "Bond Illiquidity and Excess Volatility," Review of Financial Studies, Society for Financial Studies, vol. 26(12), pages 3068-3103.
    10. 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.
    11. 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.
    12. Bakshi, Gurdip & Cao, Charles & Chen, Zhiwu, 2000. "Pricing and hedging long-term options," Journal of Econometrics, Elsevier, vol. 94(1-2), pages 277-318.
    13. Nicolas P. B. Bollen & Robert E. Whaley, 2004. "Does Net Buying Pressure Affect the Shape of Implied Volatility Functions?," Journal of Finance, American Finance Association, vol. 59(2), pages 711-753, April.
    14. Chen, Ren-Raw & Chidambaran, N.K. & Imerman, Michael B. & Sopranzetti, Ben J., 2014. "Liquidity, leverage, and Lehman: A structural analysis of financial institutions in crisis," Journal of Banking & Finance, Elsevier, vol. 45(C), pages 117-139.
    15. 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.
    16. Benjamin Yibin Zhang & Hao Zhou & Haibin Zhu, 2009. "Explaining Credit Default Swap Spreads with the Equity Volatility and Jump Risks of Individual Firms," Review of Financial Studies, Society for Financial Studies, vol. 22(12), pages 5099-5131, December.
    17. Joshua D. Coval & Jakub W. Jurek & Erik Stafford, 2009. "Economic Catastrophe Bonds," American Economic Review, American Economic Association, vol. 99(3), pages 628-666, June.
    18. Dick-Nielsen, Jens & Feldhütter, Peter & Lando, David, 2012. "Corporate bond liquidity before and after the onset of the subprime crisis," Journal of Financial Economics, Elsevier, vol. 103(3), pages 471-492.
    19. 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.
    20. 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.
    21. Jorion, Philippe & Zhang, Gaiyan, 2007. "Good and bad credit contagion: Evidence from credit default swaps," Journal of Financial Economics, Elsevier, vol. 84(3), pages 860-883, June.
    22. Robert F. Engle & Emil N. Siriwardane, 2018. "Structural GARCH: The Volatility-Leverage Connection," Review of Financial Studies, Society for Financial Studies, vol. 31(2), pages 449-492.
    23. Nan Chen & S. G. Kou, 2009. "Credit Spreads, Optimal Capital Structure, And Implied Volatility With Endogenous Default And Jump Risk," Mathematical Finance, Wiley Blackwell, vol. 19(3), pages 343-378, July.
    24. Peter Feldhütter & Stephen M Schaefer, 2018. "The Myth of the Credit Spread Puzzle," Review of Financial Studies, Society for Financial Studies, vol. 31(8), pages 2897-2942.
    25. Christian Meine & Hendrik Supper & Gregor Weiß, 2015. "Do CDS spreads move with commonality in liquidity?," Review of Derivatives Research, Springer, vol. 18(3), pages 225-261, October.
    26. Delianedis, Gordon & Geske, Robert, 2001. "The Components of Corporate Credit Spreads: Default, Recovery, Tax, Jumps, Liquidity, and Market Factors," University of California at Los Angeles, Anderson Graduate School of Management qt32x284q3, Anderson Graduate School of Management, UCLA.
    27. Bai, Jennie & Wu, Liuren, 2016. "Anchoring Credit Default Swap Spreads to Firm Fundamentals," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 51(5), pages 1521-1543, October.
    28. Mark Broadie & Mikhail Chernov & Michael Johannes, 2009. "Understanding Index Option Returns," Review of Financial Studies, Society for Financial Studies, vol. 22(11), pages 4493-4529, November.
    29. Flannery, Mark J. & Rangan, Kasturi P., 2006. "Partial adjustment toward target capital structures," Journal of Financial Economics, Elsevier, vol. 79(3), pages 469-506, March.
    30. Christoph Benkert, 2004. "Explaining credit default swap premia," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 24(1), pages 71-92, January.
    31. K.J. Martijn Cremers & Joost Driessen & Pascal Maenhout, 2008. "Explaining the Level of Credit Spreads: Option-Implied Jump Risk Premia in a Firm Value Model," Review of Financial Studies, Society for Financial Studies, vol. 21(5), pages 2209-2242, September.
    32. 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.
    33. Jing-Zhi Huang & Ming Huang, 2012. "How Much of the Corporate-Treasury Yield Spread Is Due to Credit Risk?," The Review of Asset Pricing Studies, Society for Financial Studies, vol. 2(2), pages 153-202.
    34. Hitesh Doshi & Jan Ericsson & Kris Jacobs & Stuart M. Turnbull, 2013. "Pricing Credit Default Swaps with Observable Covariates," Review of Financial Studies, Society for Financial Studies, vol. 26(8), pages 2049-2094.
    35. Du Du & Redouane Elkamhi & Jan Ericsson, 2019. "Time‐Varying Asset Volatility and the Credit Spread Puzzle," Journal of Finance, American Finance Association, vol. 74(4), pages 1841-1885, August.
    36. Christopher L. Culp & Yoshio Nozawa & Pietro Veronesi, 2018. "Option-Based Credit Spreads," American Economic Review, American Economic Association, vol. 108(2), pages 454-488, February.
    37. Pierre Collin‐Dufresne & Robert S. Goldstein, 2001. "Do Credit Spreads Reflect Stationary Leverage Ratios?," Journal of Finance, American Finance Association, vol. 56(5), pages 1929-1957, October.
    38. 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.
    39. Maria Vassalou & Yuhang Xing, 2004. "Default Risk in Equity Returns," Journal of Finance, American Finance Association, vol. 59(2), pages 831-868, April.
    40. Long Chen & David A. Lesmond & Jason Wei, 2007. "Corporate Yield Spreads and Bond Liquidity," Journal of Finance, American Finance Association, vol. 62(1), pages 119-149, February.
    41. Corò, Filippo & Dufour, Alfonso & Varotto, Simone, 2013. "Credit and liquidity components of corporate CDS spreads," Journal of Banking & Finance, Elsevier, vol. 37(12), pages 5511-5525.
    42. Sreedhar T. Bharath & Tyler Shumway, 2008. "Forecasting Default with the Merton Distance to Default Model," Review of Financial Studies, Society for Financial Studies, vol. 21(3), pages 1339-1369, May.
    43. Zhou, Chunsheng, 2001. "The term structure of credit spreads with jump risk," Journal of Banking & Finance, Elsevier, vol. 25(11), pages 2015-2040, November.
    44. 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.
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    More about this item

    Keywords

    Credit default swap; Merton’ model; Volatility smile; Credit crisis; Idiosyncratic risk;
    All these keywords.

    JEL classification:

    • G1 - Financial Economics - - General Financial Markets
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G19 - Financial Economics - - General Financial Markets - - - Other

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