A Discrete-Time Approach to Arbitrage-Free Pricing of Credit Derivatives
AbstractThis paper develops a framework for modelling risky debt and valuing credit derivatives that is flexible and simple to implement, and that is, to the maximum extent possible, based on observables. Our approach is based on expanding the Heath-Jarrow-Morton term-structure model to allow for defaultable debt. Rather than follow the procedure of implying out the behavior of spreads from assumptions concerning the default process, we work directly with the evolution of spreads. The risk-neutral drifts in the resulting model possess a recursive representation that facilitates implementation and makes it possible to handle path-dependence and early exercise features without difficulty. The framework permits embedding a variety of specifications for default; we present an empirical example of a default structure which provides promising calibration results.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoArticle provided by INFORMS in its journal Management Science.
Volume (Year): 46 (2000)
Issue (Month): 1 (January)
Credit Risk; Derivatives; No-Arbitrage;
You can help add them by filling out this form.
CitEc Project, subscribe to its RSS feed for this item.
- Carl Chiarella & Viviana Fanelli & Silvana Musti, 2009.
"Modelling the Evolution of Credit Spreads Using the Cox Process Within the HJM Framework A CDS Option Pricing Model,"
Research Paper Series
255, Quantitative Finance Research Centre, University of Technology, Sydney.
- Chiarella, Carl & Fanelli, Viviana & Musti, Silvana, 2011. "Modelling the evolution of credit spreads using the Cox process within the HJM framework: A CDS option pricing model," European Journal of Operational Research, Elsevier, vol. 208(2), pages 95-108, January.
- Carl Chiarella & Viviana Fanelli & Silvana Musti, 2008. "Modelling the Evolution of Credit Spreads using the Cox Process within the HUM Framework: A CDS Option Pricing Model," Research Paper Series 232, Quantitative Finance Research Centre, University of Technology, Sydney.
- Gady Jacoby & Chuan Liao & Jonathan A. Batten, 2007. "A Pure Test for the Elasticity of Yield Spreads," The Institute for International Integration Studies Discussion Paper Series iiisdp195, IIIS.
- Francis A. Longstaff & Sanjay Mithal & Eric Neis, 2004.
"Corporate Yield Spreads: Default Risk or Liquidity? New Evidence from the Credit-Default Swap Market,"
NBER Working Papers
10418, National Bureau of Economic Research, Inc.
- Francis A. Longstaff & Sanjay Mithal & Eric Neis, 2005. "Corporate Yield Spreads: Default Risk or Liquidity? New Evidence from the Credit Default Swap Market," Journal of Finance, American Finance Association, vol. 60(5), pages 2213-2253, October.
- Longstaff, Francis A. & Mithal, Sanjay & Neis, Eric, 2004. "Corporate Yield Spreads: Default Risk or Liquidity? New Evidence from the Credit-Default Swap Market, previously titled: "The Credit-Default Swap Market: Is Credit Protection Priced Correctly?&qu," University of California at Los Angeles, Anderson Graduate School of Management qt8gn7h03k, Anderson Graduate School of Management, UCLA.
- Augusto Castillo, 2004. "Firm and Corporate Bond Valuation: A Simulation Dynamic Programming Approach," Latin American Journal of Economics-formerly Cuadernos de Economía, Instituto de Economía. Pontificia Universidad Católica de Chile., vol. 41(124), pages 345-360.
- Acharya, Viral V & Bharath, Sreedhar T & Srinivasan, Anand, 2003. "Understanding the Recovery Rates on Defaulted Securities," CEPR Discussion Papers 4098, C.E.P.R. Discussion Papers.
- Houweling, P. & Vorst, A.C.F., 2003.
"Pricing default swaps: empirical evidence,"
Econometric Institute Research Papers
EI 2003-51, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
- Haibin Zhu, 2006. "An Empirical Comparison of Credit Spreads between the Bond Market and the Credit Default Swap Market," Journal of Financial Services Research, Springer, vol. 29(3), pages 211-235, June.
- Didier Cossin & Tomas Hricko & Daniel Aunon-Nerin & Zhijiang Huang, 2002. "Exploring for the Determinants of Credit Risk in Credit Default Swap Transaction Data: Is Fixed-Income Markets’ Information Suffcient to Evaluate Credit Risk?," FAME Research Paper Series rp65, International Center for Financial Asset Management and Engineering.
- Michael Adler & Jeong Song, 2010. "The behavior of emerging market sovereigns' credit default swap premiums and bond yield spreads," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 15(1), pages 31-58.
- Masakazu Miura & Kenichiro Tamaki & Takayuki Shiohama, 2013. "Asymptotic Expansion for Term Structures of Defaultable Bonds with Non-Gaussian Dependent Innovations," Asia-Pacific Financial Markets, Springer, vol. 20(4), pages 311-344, November.
- Duffie, Darrell, 2003. "Intertemporal asset pricing theory," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, edition 1, volume 1, chapter 11, pages 639-742 Elsevier.
- Francois, Pascal & Hubner, Georges, 2004. "Credit derivatives with multiple debt issues," Journal of Banking & Finance, Elsevier, vol. 28(5), pages 997-1021, May.
- Chuang-Chang Chang & Ruey-Jenn Ho & Chengfew Lee, 2010. "Pricing credit card loans with default risks: a discrete-time approach," Review of Quantitative Finance and Accounting, Springer, vol. 34(4), pages 413-438, May.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Mirko Janc).
If references are entirely missing, you can add them using this form.