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The Economic Role of Jumps and Recovery Rates in the Market for Corporate Default Risk

Published online by Cambridge University Press:  17 September 2010

Paul Schneider ,
Leopold Sögner  and
Tanja Veža
Paul Schneider
Affiliation:
Finance Group, Warwick Business School, University of Warwick, Scarman Road, CV4 7AL Coventry, UK. paul.schneider@wbs.ac.uk
Leopold Sögner
Affiliation:
Department of Economics and Finance, Institute for Advanced Studies, Stumpergasse 56, 1060 Vienna, Austria. soegner@ihs.ac.at
Tanja Veža
Affiliation:
Institute for Finance, Banking and Insurance, Vienna University of Economics and Business, Heiligenstädter Straße 46-48, 1190 Vienna, Austria. tanja.veza@wu.ac.at
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Abstract

Using an extensive cross section of U.S. corporate credit default swaps (CDSs), this paper offers an economic understanding of implied loss given default (LGD) and jumps in default risk. We formulate and underpin empirical stylized facts about CDS spreads, which are then reproduced in our affine intensity-based jump-diffusion model. Implied LGD is well identified, with obligors possessing substantial tangible assets expected to recover more. Sudden increases in the default risk of investment-grade obligors are higher relative to speculative grade. The probability of structural migration to default is low for investment-grade and heavily regulated obligors because investors fear distress rather through rare but devastating events.

Type
Research Articles
Information
Journal of Financial and Quantitative Analysis , Volume 45 , Issue 6 , December 2010 , pp. 1517 - 1547
Copyright
Copyright © Michael G. Foster School of Business, University of Washington 2010

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References

Acharya, V. V.; Bharath, S. T.; and Srinivasan, A.. “Does Industry-Wide Distress Affect Defaulted Firms? Evidence from Creditor Recoveries.” Journal of Financial Economics, 85 (2007), 787–821.CrossRefGoogle Scholar
Altman, E. I. “Are Historically Based Default and Recovery Models in the High-Yield and Distressed Debt Markets Still Relevant in Today’s Credit Environment?” Working Paper, New York University (2006).Google Scholar
Altman, E. I.; Brady, B.; Resti, A.; and Sironi, A.. “The Link between Default and Recovery Rates: Theory, Empirical Evidence, and Implications.” Journal of Business, 78 (2005), 2203–2227.Google Scholar
Altman, E. I., and Kishore, V. M.. “Almost Everything You Wanted to Know about Recoveries on Defaulted Bonds.” Financial Analyst Journal, 52 (1996), 57–64.Google Scholar
Altman, E.; Resti, A.; and Sironi, A.. “Default Recovery Rates in Credit Risk Modelling: A Review of the Literature and Empirical Evidence.” Economic Notes by Banca Monte dei Paschi di Siena SpA, 33 (2004), 183–208.Google Scholar
Bakshi, G.; Cao, C.; and Chen, Z.. “Empirical Performance of Alternative Option Pricing Models.” Journal of Finance, 52 (1997), 2003–2049.CrossRefGoogle Scholar
Bakshi, G.; Madan, D.; and Zhang, F. X.. “Investigating the Role of Systematic and Firm-Specific Factors in Default Risk: Lessons from Empirically Evaluating Credit Risk Models.” Journal of Business, 79 (2006a), 1955–1987.CrossRefGoogle Scholar
Bakshi, G.; Madan, D.; and Zhang, F. X.. “Understanding the Role of Recovery in Default Risk Models: Empirical Comparisons and Implied Recovery Rates.” Working Paper, University of Maryland (2006b).Google Scholar
Barndorff-Nielsen, O. E., and Shephard, N.. “Econometrics of Testing Jumps in Financial Economics Using Bipower Variation.” Journal of Financial Econometrics, 4 (2006), 1–30.CrossRefGoogle Scholar
Bates, D. S. “The Crash of ’87: Was It Expected? The Evidence from Options Markets.” Journal of Finance, 46 (1991), 1009–1044.Google Scholar
Berndt, A.; Douglas, R.; Duffie, D.; Ferguson, M.; and Schranz, D.. “Measuring Default Risk Premia from Default Swap Rates and EDFs.” Working Paper, Stanford University (2008).Google Scholar
Brigo, D., and Alfonsi, A.. “Credit Default Swap Calibration and Derivatives Pricing with the SSRD Stochastic Intensity Model.” Finance and Stochastics, 9 (2005), 29–42.CrossRefGoogle Scholar
Brigo, D., and Cousot, L.. “The Stochastic Intensity SSRD Model Implied Volatility Patterns for Credit Default Swap Options and the Impact of Correlation.” International Journal of Theoretical and Applied Finance, 9 (2006), 315–339.CrossRefGoogle Scholar
Brigo, D., and El-Bachir, N.. “Credit Derivatives Pricing with a Smile-Extended Jump Stochastic Intensity Model.” ICMA Centre Discussion Papers in Finance DP2006-13, University of Reading (2006).Google Scholar
Brigo, D., and Mercurio, F.. Interest Rate Models: Theory and Practice. With Smile, Inflation and Credit, 2nd ed.Springer Finance. Heidelberg, Germany: Springer-Verlag (2006).Google Scholar
Broadie, M.; Chernov, M.; and Johannes, M.. “Model Specification and Risk Premia: Evidence from Futures Options Market.” Journal of Finance, 62 (2007), 1453–1490.CrossRefGoogle Scholar
Bruche, M., and González-Aguado, C.. “Recovery Rates, Default Probabilities, and the Credit Cycle.” Journal of Banking and Finance, 34 (2010), 754–764.CrossRefGoogle Scholar
Carr, P., and Wu, L.. “Stock Options and Credit Default Swaps: A Joint Framework for Valuation and Estimation.” Journal of Financial Econometrics, 8 (2010), 409–449.Google Scholar
Chen, R.-R.; Cheng, X.; Fabozzi, F. J.; and Liu, B.. “An Explicit, Multi-Factor Credit Default Swap Pricing Model with Correlated Factors.” Journal of Financial and Quantitative Analysis, 43 (2008), 123–160.CrossRefGoogle Scholar
Chen, R.-R.; Cheng, X.; and Wu, L.. “Dynamic Interactions between Interest Rate, Credit, and Liquidity Risks: Theory and Evidence from the Term Structure of Credit Default Swap Spreads.” Working Paper, Rutgers University and Baruch College (2005).CrossRefGoogle Scholar
Chernov, M.; Gallant, A. R.; Ghysels, E.; and Tauchen, G.. “Alternative Models for Stock Price Dynamics.” Journal of Econometrics, 116 (2003), 225–257.Google Scholar
Collin-Dufresne, P.; Goldstein, R. S.; and Helwege, J.. “Is Credit Event Risk Priced? Modeling Contagion via the Updating of Beliefs.” Working Paper, Carnegie Mellon University, Washington University, and Ohio State University (2003).Google Scholar
Collin-Dufresne, P.; Goldstein, R.; and Hugonnier, J.. “A General Formula for Valuing Defaultable Securities.” Econometrica, 72 (2004), 1377–1407.CrossRefGoogle Scholar
Collin-Dufresne, P.; Goldstein, R. S.; and Jones, C. S.. “Can Interest Rate Volatility Be Extracted from the Cross Section of Bond Yields?” Journal of Financial Economics, 94 (2009), 47–66.CrossRefGoogle Scholar
Cont, R., and Tankov, P.. Financial Modelling with Jump Processes. Financial Mathematics Series. Boca Raton, FL: Chapman & Hall/CRC (2004).Google Scholar
Cremers, K. J. M.; Driessen, J.; and Maenhout, P.. “Explaining the Level of Credit Spreads: Option-Implied Jump Risk Premia in a Firm Value Model.” Review of Financial Studies, 21 (2008), 2209–2242.CrossRefGoogle Scholar
Driessen, J. “Is Default Event Risk Priced in Corporate Bonds?” Review of Financial Studies, 18 (2005), 165–195.CrossRefGoogle Scholar
Duffee, G. R. “Term Premia and Interest Rate Forecasts in Affine Models.” Journal of Finance, 57 (2002), 405–443.CrossRefGoogle Scholar
Duffie, D.; Filipović, D., and Schachermayer, W.. “Affine Processes and Applications in Finance.” Annals of Applied Probability, 13 (2003), 984–1053.Google Scholar
Duffie, D.; Pan, J.; and Singleton, K.. “Transform Analysis and Asset Pricing for Affine Jump-Diffusions.” Econometrica, 68 (2000), 1343–1376.CrossRefGoogle Scholar
Duffie, D.; Saita, L.; and Wang, K.. “Multi-Period Corporate Default Prediction with Stochastic Covariates.” Journal of Financial Economics, 83 (2007), 635–665.CrossRefGoogle Scholar
Duffie, D.; Schroder, M.; and Skiadas, C.. “Recursive Valuation of Defaultable Securities and the Timing of Resolution of Uncertainty.” Annals of Applied Probability, 6 (1996), 1075–1090.CrossRefGoogle Scholar
Duffie, D., and Singleton, K. J.. “An Econometric Model of the Term Structure of Interest-Rate Swap Yields.” Journal of Finance, 52 (1997), 1287–1321.Google Scholar
Emery, K.; Ou, S.; Tennant, J., Kim, F.; and Cantor, R.. “Corporate Default and Recovery Rates, 1920–2007.” Moodys.com (2008).Google Scholar
Eraker, B. “Do Stock Prices and Volatility Jump? Reconciling Evidence from Spot and Option Prices.” Journal of Finance, 59 (2004), 1367–1404.Google Scholar
Eraker, B.; Johannes, M.; and Polson, N.. “The Impact of Jumps in Volatility and Returns.” Journal of Finance, 58 (2003), 1269–1300.CrossRefGoogle Scholar
Feldhütter, P., and Lando, D.. “Decomposing Swap Spreads.” Journal of Financial Economics, 88 (2008), 375–405.CrossRefGoogle Scholar
Houweling, P., and Vorst, T.. “Pricing Default Swaps: Empirical Evidence.” Journal of International Money and Finance, 24 (2005), 1200–1225.Google Scholar
Jacod, J., and Shiryaev, A. N.. Limit Theorems for Stochastic Processes, 2nd ed.Berlin, Germany: Springer-Verlag (2003).CrossRefGoogle Scholar
Jarrow, R.; Lando, D.; and Yu, F.. “Default Risk and Diversification: Theory and Applications.” Mathematical Finance, 15 (2005), 1–26.CrossRefGoogle Scholar
Jarrow, R. A., and Yu, F.. “Counterparty Risk and the Pricing of Defaultable Securities.” Journal of Finance, 56 (2001), 1765–1799.Google Scholar
Johannes, M. “The Statistical and Economic Role of Jumps in Continuous-Time Interest Rate Models.” Journal of Finance, 59 (2004), 227–260.CrossRefGoogle Scholar
Johannes, M., and Polson, N.. “MCMC Methods for Continuous-Time Financial Econometrics.” In Handbook of Financial Econometrics, Vol. 2, Aït-Sahalia, Y.and Hansen, L., eds. Oxford, UK and Amsterdam, The Netherlands: North-Holland (2010), 1–66.Google Scholar
Jones, C. S. “Bayesian Estimation of Continuous-Time Finance Models.” Working Paper, University of Rochester (1998).Google Scholar
Kusuoka, S. “A Remark on Default Risk Models.” In Advances in Mathematical Economics, Vol. 1, Kusuoka, S. and Maruyama, T., eds. Tokyo, Japan: Springer-Verlag (1999), 69–82.Google Scholar
Lee, S. S., and Mykland, P. A.. “Jumps in Financial Markets: A New Nonparametric Test and Jump Dynamics.” Review of Financial Studies, 21 (2008), 2535–2563.Google Scholar
Longstaff, F. A.; Mithal, S.; and Neis, E.. “Corporate Yield Spreads: Default Risk or Liquidity? New Evidence from the Credit Default Swap Market.” Journal of Finance, 60 (2005), 2213–2253.CrossRefGoogle Scholar
Pan, J., and Singleton, K. J.. “Default and Recovery Implicit in the Term Structure of Sovereign CDS Spreads.” Journal of Finance, 63 (2008), 2345–2384.Google Scholar
Singh, M. “A New Road to Recovery.” Risk Magazine, 17 (2004), 108–110.Google Scholar
Tang, D. Y., and Yan, H.. “Liquidity and Credit Default Swap Spreads.” Working Paper, Kennesaw State University and University of South Carolina (2007).CrossRefGoogle Scholar
Varma, P., and Cantor, R.. “Determinants of Recovery Rates on Defaulted Bonds and Loans for North American Corporate Issuers: 1983–2003.” Moodys.com (2004).Google Scholar
Varma, P.; Cantor, R.; and Hamilton, D.. “Recovery Rates on Defaulted Corporate Bonds and Preferred Stocks, 1982–2003.” Moodys.com (2003).Google Scholar
Verde, M.; Rosenthal, E.; Oline, M.; and Tutterow, E.. “The Rising Corporate Default Wave.” FitchRatings.com (2008).Google Scholar
Zhang, F. X. “What Did the Credit Market Expect of Argentina Default? Evidence from Default Swap Data.” Working Paper, Federal Reserve Board (2003).Google Scholar