Hostname: page-component-8448b6f56d-sxzjt Total loading time: 0 Render date: 2024-04-23T07:29:20.146Z Has data issue: false hasContentIssue false

The Cross Section of Recovery Rates and Default Probabilities Implied by Credit Default Swap Spreads

Published online by Cambridge University Press:  11 February 2014

Redouane Elkamhi
Affiliation:
redouane.elkamhi@rotman.utoronto.ca, Rotman School of Management, University of Toronto, 105 St. George Street, Toronto, ONT M5S 3E6, Canada
Kris Jacobs
Affiliation:
kjacobs@bauer.uh.edu, Bauer College of Business, University of Houston, 334 Melcher Hall, Houston, TX 77024
Xuhui Pan
Affiliation:
xpan@tulane.edu, Freeman School of Business, Tulane University, 7 McAlister Dr, New Orleans, LA 70118.

Abstract

Rather than assuming a fixed recovery rate in estimation, we estimate recovery rates from credit default swap spreads, using 3 years of daily data on 152 corporations. We use a quadratic pricing model, which ensures nonnegative default probabilities and recovery rates. The estimated cross section of recovery rates is plausible, with an average recovery rate of 54% and substantial cross-sectional variation. Estimated 5-year default probabilities are on average 67% higher than default probabilities obtained using the standard 40% recovery assumption. This finding critically impacts the valuation of structured credit products. Larger firms and firms with more tangible assets have higher recovery rates.

Type
Research Articles
Copyright
Copyright © Michael G. Foster School of Business, University of Washington 2014 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Acharya, V.; Bharath, S.; and Srinivasan, A.. “Does Industry-Wide Distress Affect Defaulted Firms? Evidence from Creditor Recoveries.” Journal of Financial Economics, 85 (2007), 787821.Google Scholar
Almeida, H., and Philippon, T.. “The Risk-Adjusted Cost of Financial Distress.” Journal of Finance, 62 (2007), 25572586.Google Scholar
Altman, E.; Brady, B.; Resti, A.; and Sironi, A.. “The Link Between Default and Recovery Rates: Theory, Empirical Evidence and Implications.” Journal of Business, 78 (2005), 22032228.Google Scholar
Altman, E., and Karlin, B.. “Defaults and Returns in the High-Yield Bond Market: The Year 2007 in Review and Outlook.” Working Paper, New York University (2008).Google Scholar
Altman, E., and Kishore, V.. “Almost Everything You Wanted to Know About Recoveries on Defaulted Bonds.” Financial Analysts Journal, 52 (1996), 5764.Google Scholar
Ang, A.; Boivin, J.; Dong, S.; and Loo-Kung, R.. “Monetary Policy Shifts and the Term Structure.” Review of Economic Studies, 78 (2011), 429457.Google Scholar
Ang, A., and Piazzesi, M.. “A No-Arbitrage Vector-Autoregression of Term Structure Dynamics with Macroeconomic and Latent Variables.” Journal of Monetary Economics, 50 (2003), 745787.Google Scholar
Bakshi, G.; Madan, D.; and Zhang, F.. “Investigating the Role of Systematic and Firm-Specific Factors in Default Risk: Lessons from Empirically Evaluating Credit Risk Models.” Journal of Business, 79 (2006a), 19551987.Google Scholar
Bakshi, G.; Madan, D.; and Zhang, F.. “Understanding the Role of Recovery in Default Risk Models: Empirical Comparisons and Implied Recovery Rates.” Working Paper, University of Maryland (2006b).Google Scholar
Blanco, R.; Brennan, S.; and Marsh, I.. “An Empirical Analysis of the Dynamic Relation Between Investment Grade Bonds and Credit Default Swaps.” Journal of Finance, 60 (2005), 22552281.Google Scholar
Bongaerts, D.; de Jong, F.; and Driessen, J.. “Derivative Pricing with Liquidity Risk: Theory and Evidence from the Credit Default Swap Market.” Journal of Finance, 66 (2011), 203240.Google Scholar
Carey, M. “Credit Risk in Private Debt Portfolios.” Journal of Finance, 53 (1998), 13631387.Google Scholar
Carey, M., and Gordy, M.. “Systematic Risk in Recoveries on Defaulted Debt.” Working Paper, Federal Reserve Board, Washington, DC (2003).Google 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), 409449.Google Scholar
Carr, P., and Wu, L.. “A Simple Robust Link between American Puts and Credit Protection.” Review of Financial Studies, 24 (2011), 473505.Google Scholar
Chen, R.-R.; Cheng, X.; Fabozzi, F.; and Liu, B.. “An Explicit Multi-Factor Credit Default Swap Pricing Model with Correlated Factors.” Journal of Financial and Quantitative Analysis, 43 (2008),123160.Google Scholar
Christensen, J. “Joint Default and Recovery Risk Estimation: An Application to CDS Data.” Working Paper, Federal Reserve Bank of San Francisco (2007).Google Scholar
Das, S., and Hanouna, P.. “Implied Recovery.” Journal of Economic Dynamics and Control, 33 (2009), 18371857.Google Scholar
Duffee, G. “Estimating the Price of Default Risk.” Review of Financial Studies, 12 (1999), 197226.Google Scholar
Duffee, G. “Term Premia and Interest Rate Forecasts in Affine Models.” Journal of Finance, 57 (2002), 405443.Google Scholar
Duffie, D., and Lando, D.. “Term Structures of Credit Spreads with Incomplete Accounting Information.” Econometrica, 69 (2001), 633664.Google Scholar
Duffie, D., and Singleton, K.. “An Econometric Model of the Term Structure of Interest-Rate Swap Yields.” Journal of Finance, 52 (1997), 12871321.Google Scholar
Duffie, D., and Singleton, K.. “Modeling Term Structures of Defaultable Bonds.” Review of Financial Studies, 12 (1999), 687720.Google Scholar
Emery, K.; Ou, S.; and Tennant, J.. “Corporate Default and Recovery Rates, 1920–2007.”Moody’s Investors Service. Available at https://www.moodys.com/sites/products/DefaultResearch/2007000000474979.pdf (2008).Google Scholar
Emery, K.; Ou, S.; Tennant, J.; Matos, A.; and Cantor, R.. “Corporate Default and Recovery Rates, 1920–2008.” Moody’s Investors Service. Available at https://www.moodys.com/sites/products/DefaultResearch/2007400000578875.pdf (2009).Google Scholar
Ericsson, J.; Jacobs, K.; and Oviedo, R.. “The Determinants of Credit Default Swap Premia.” Journal of Financial and Quantitative Analysis, 44 (2009), 109132.Google Scholar
Gourieroux, C.; Monfort, A.; and Polimenis, V.. “Affine Models for Credit Risk Analysis.” Journal of Financial Econometrics, 4 (2006), 494530.Google Scholar
Granger, C. “Prediction with a Generalized Cost of Error Function.” Operations Research Quarterly, 20 (1969), 199207.Google Scholar
Guo, X.; Jarrow, R.; and Lin, H.. “Distressed Debt Prices and Recovery Rate Estimation.” Review of Derivatives Research, 11 (2008), 171204.Google Scholar
Jagannathan, R.; Kaplin, A.; and Sun, S.. “An Evaluation of Multi-Factor CIR Models Using LIBOR, Swap Rates, and Cap and Swaption Prices.” Journal of Econometrics, 116 (2003), 113146.Google Scholar
Jarrow, R. “Default Parameter Estimation Using Market Prices.” Financial Analysts Journal, 57 (2001), 7592.Google Scholar
Jarrow, R.; Li, H.; and Ye, X.. “Exploring Statistical Arbitrage Opportunities in the Term Structure of CDS Spreads.” Working Paper, Cornell University (2009).Google Scholar
Ju, N.; Parrino, R.; Poteshman, A.; and Weisbach, M.. “Horses and Rabbits? Trade-Off Theory and Optimal Capital Structure.” Journal of Financial and Quantitative Analysis, 40 (2005), 259281.Google Scholar
Le, A. “Separating the Components of Default Risk: A Derivatives-Based Approach.” Working Paper, University of North Carolina (2008).Google Scholar
Li, H., and Zhao, F.. “Unspanned Stochastic Volatility: Evidence from Hedging Interest Rate Derivatives.” Journal of Finance, 61 (2006), 341378.Google Scholar
Longstaff, F.; 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), 22132253.Google Scholar
Madan, D., and Unal, H.. “Pricing the Risks of Default.” Review of Derivatives Research, 2 (1998), 121160.Google Scholar
Pan, J., and Singleton, K.. “Interpreting Recent Changes in the Credit Spreads of Japanese Banks.” Monetary and Economic Studies, Bank of Japan, 24 (2006), 129150.Google Scholar
Pan, J., and Singleton, K.. “Default and Recovery Implicit in the Term Structure of Sovereign CDS Spreads.” Journal of Finance, 63 (2008), 23452384.Google Scholar
Schneider, P.; Sogner, L.; and Veza, T.. “The Economic Role of Jumps and Recovery Rates in the Market for Corporate Default Risk.” Journal of Financial and Quantitative Analysis, 45 (2010), 15171547.Google Scholar
Schuermann, T. “What Do We Know About Loss Given Default?” Working Paper, Federal Reserve Bank of New York (2004).Google Scholar
Securities and Exchange Commission. “Asset-Backed Securities.” Release Nos. 33-9117; 34–61858; File No. S7-08-10 (2010).Google Scholar
Securities and Exchange Commission. “Re-Proposal of Shelf Eligibility Conditions for Asset-Backed Securities and Other Additional Requests for Comment.” Release Nos. 33-9244; 34–64968; File No. S7-08-10 (2011).Google Scholar
Shleifer, A., and Vishny, R.. “Liquidation Values and Debt Capacity: A Market EquilibriumApproach.” Journal of Finance, 47 (1992), 13431366.Google Scholar
Thorburn, K. “Cash Auction Bankruptcy: Costs, Recovery Rates and Auction Premiums.” Working Paper, Stockholm School of Economics (1997).Google Scholar
Unal, H.; Madan, D.; and Guntay, L.. “Pricing the Risk of Recovery in Default with Absolute Priority Rule Violation.” Journal of Banking and Finance, 27 (2003), 10011025.Google Scholar
Van der Merwe, R., and Wan, E.. “The Square-Root Unscented Kalman Filter for State and Parameter Estimation.” Working Paper, Oregon Health and Science University (2001).Google Scholar
White, H. “A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity.” Econometrica, 48 (1980), 817838.CrossRefGoogle Scholar
Zhang, B.; Zhou, H.; and Zhu, H.. “Explaining Credit Default Swap Spreads with Equity Volatility and Jump Risks of Individual Firms.” Review of Financial Studies, 22 (2009), 50995131.Google Scholar
Supplementary material: PDF

Elkamhi Supplementary Material

Appendix

Download Elkamhi Supplementary Material(PDF)
PDF 395 KB