Balakrishna, B S (2006): A SemiAnalytical Parametric Model for Dependent Defaults.

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Abstract
A semianalytical parametric approach to modeling default dependency is presented. It is a multifactor model based on instantaneous default correlation that also takes into account higher order default correlations. It is capable of accommodating a term structure of default correlations and has a dynamic formulation in the form of a continuous time Markov chain. With two factors and a constant hazard rate, it provides perfect fits to four tranches of CDX.NA.IG and iTraxx Europe CDOs of 5, 7 and 10 year maturities. With time dependent hazard rates, it provides perfect fits to all the five tranches for all three maturities.
Item Type:  MPRA Paper 

Original Title:  A SemiAnalytical Parametric Model for Dependent Defaults 
Language:  English 
Keywords:  Default Risk; Default Correlation; CDO; Markov Chain; Semianalytical; Parametric 
Subjects:  G  Financial Economics > G1  General Financial Markets > G13  Contingent Pricing; Futures Pricing 
Item ID:  14918 
Depositing User:  S Balakrishna 
Date Deposited:  30. Apr 2009 00:28 
Last Modified:  20. Feb 2013 19:43 
References:  Albanese, C., O. Chen and A. D’Alessandro (2005), ``Dynamic Credit Correlation Modeling'', Working paper, http://defaultrisk.com/pp_corr_80.htm. Albanese, C., G. Campolieti, O. Chen and A. Zavidonov(2003), “Credit Barrier Models”, Risk 16 (6), pp. 109113. Andersen, L., J. Sidenius and S. Basu (2003), “All Your Hedges in One Basket”, Risk, November, pp. 67  72. Arvanitis, A. and J. Gregory (2001), ``Credit: The Complete Guide to Pricing, Hedging and Risk Management'', Risk Publications. Avellaneda, M. and J. Zhu (2001), “Distance to Default”, Risk 14 (12), pp. 125129. Baxter, M. (2006), ``Levy Process Dynamic Modeling of SingleName Credits and CDO Tranches'', Working paper, http://defaultrisk.com/pp_crdrv_110.htm. Bennani, N. (2005), ``The Forward Loss Model: A Dynamic Term Structure Approach for the Pricing of Portfolio Credit Derivatives'', Working paper, http://defaultrisk.com/pp_crdrv_95.htm. Berman, A. and N. ShakedMonderer (2003), ``Completely Positive Matrices'', World Scientific, New Jersey. Brigo, D., A. Pallavicini and R. Torresetti (2006), ``Calibration of CDO Tranches with the Dynamical GeneralizedPoisson Loss Model'', Working paper, http://www.defaultrisk.com/ pp_crdrv117.htm. Chapovsky, A., A. Rennie and P. A. C. Tavares (2006), ``Stochastic Intensity Modeling for Structured Credit Exotics'', Working paper, http://defaultrisk.com/pp_crdrv_136.htm. Das, S. R., D. Duffie and N. Kapadia (2005), ``Common Failings: How Corporate Defaults are Correlated'', Working Paper, Santa Clara University, February, 2005. Davis, M. and L. Violet (2000), ``Modeling Default Correlation in Bond Portfolios'', Working paper, Imperial College, London, 2000. Di Graziano, G. and C. Rogers (2005), ``A Dynamic Approach to the Modeling of Correlation Credit Derivatives Using Markov Chains'', Working paper, http://www.defaultrisk.com/pp_crdrv_88.htm. Duffie, D. and N. Garleanu (2001), ``Risk and the Valuation of Collateralized Debt Obligations'', Financial Analysts Journal, 57, pp. 4159. Duffie, D. and K. Singleton (1999), ``Modeling Term Structures of Defaultable Bonds'', Review of Financial Studies, 12, pp. 687720. Elouerkhaoui, Y. (2003), ``Pricing and Hedging in a Dynamic Credit Model'', Citigroup Working paper. Errais, E., K. Giesecke and L. Goldberg (2006), ``Pricing Credit from the Top Down with Affine Point Processes'', working paper. Finger, C. C. (2004), ``Issues in the Pricing of Synthetic CDOs'', The Journal of Credit Risk, 1(1): pp. 113124. Friend, A. and E. Rogge (2004), “Correlation at First Sight”, Working Paper, ABN AMRO. Gregory, J. and J.P. Laurent (2004), “In the Core of Correlation”, Risk, October, pp. 8791. Giesecke, K. (2001), ``Correlated Default with Incomplete Information'', Journal of Banking and Finance, Humboldt UniversitÄat Berlin, October 2001. Hager, S. and R. Schobel (2005), “A Note on the Correlation Smile”, Tbinger Diskussionsbeitrag 297. Hull, J and A. White (2006), ``Valuing Credit Derivatives Using an Implied Copula Approach'', Working Paper, Joseph L. Rotman School of Management, May 2006. Jarrow, R. and F. Yu (2000), ``Counterparty Risk and the Pricing of Defaultable Securities'', Journal of Finance, 56, pp. 17651799. Jarrow, R., D. Lando and S. M. Turnbull (1997), ``A Markov Model for the Term Structure of Credit Risk Spreads'', Review of Financial Studies 10, pp. 481523. Joshi, M. and A. Stacey (2005), ``Intensity Gamma: A New Approach to Pricing Credit Derivatives''. Li, D. X. (2000), “On Default Correlation: a Copula Function Approach”, The Journal of Fixed Income, Vol. 9, March, pp. 4354. Lindskog, F. and A. McNeil (2003), ``Common Poisson Shock Models: Applications to Insurance and Credit Risk Modeling'', ASTIN Bulletin, 33(2), pp. 209238. Marshall, A. and I. Olkin (1967), ``A Multivariate Exponential Distribution'', Journal of the American Statistical Association, 62, 3044. Mashal, R., M. Naldi and G. Tejwani (2004), “The Implications of Implied Correlation”, Lehman Brothers, Quantitative Credit Research, Working Paper. McGinty, L., E. Beinstein, R. Ahluwalia and M. Watts (2004), “Introducing Base Correlations”, Credit Derivatives Strategy, JP Morgan, March 2004. O’Kane, D. and L. Schlogl (2003), “The Large Homogeneous Portfolio Approximation with the Studentt Copula”, Working Paper, Lehman Brothers International, July 2003. Schmidt, W. and I. Ward (2002), “Pricing Default Baskets”, Risk 15 (1), pp. 111114. Schonbucher, P. (2003), ``Information Driven Default Contagion'', Working paper, DMATH, ETH Zurich, December 2003. Schonbucher, P. (2005), ``Portfolio Losses and the Term Structure of Loss Transition Rates: A New Methodology for the Pricing of Portfolio Credit Derivatives'', Working paper, http://defaultrisk.com/pp_model_74.htm. Schonbucher, P. and D. Schubert (2001), ``Copula Dependent Default Risk in Intensity Models'', Working Paper, Department of Statistics, Bonn University. Sidenius, J., V. Piterbarg and L. Andersen (2005), ``A New Framework for Dynamic Credit Portfolio Loss Modeling'', Working paper, http://defaultrisk.com/pp_model_83.htm. Vasicek, O. (1987), Probability of Loss on Loan Portfolio, Working Paper, KMV Corporation. 
URI:  http://mpra.ub.unimuenchen.de/id/eprint/14918 