Balakrishna, B S (2010): Levy Subordinator Model of Default Dependency.
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This article presents a model of default dependency based on Levy subordinator. It is a tractable dynamical model, computationally structured similar to the one-factor Gaussian copula model, providing easy calibration to individual hazard rate curves and efficient pricing with Fast Fourier Transform techniques. The subordinator is an alpha=1/2 stable Levy process, maximally skewed to the right, with its distribution function known in closed form as the Levy distribution. The model provides a reasonable fit to market data with just two parameters to assess dependency risk, a measure of correlation and that of the likelihood of a catastrophe.
|Item Type:||MPRA Paper|
|Original Title:||Levy Subordinator Model of Default Dependency|
|Keywords:||CDO, Default Risk, Levy Distribution, Levy Subordinator, FFT, Gaussian Copula|
|Subjects:||G - Financial Economics > G1 - General Financial Markets > G12 - Asset Pricing; Trading volume; Bond Interest Rates
G - Financial Economics > G1 - General Financial Markets > G13 - Contingent Pricing; Futures Pricing
|Depositing User:||S Balakrishna|
|Date Deposited:||16. Apr 2010 14:37|
|Last Modified:||25. Feb 2013 11:44|
Albanese, C., O. Chen, A. Dalessandro, and A. Vidler (2006), ``Dynamic Credit Correlation Modeling'', Available at http://www.defaultrisk.com/pp_corr_75.htm.
Albrecher, H., S. Ladoucette, W. Schoutens (2007), ``A Generic One-factor Levy model for Pricing Synthetic CDOs'', in ``Advances in Mathematical Finance'', Birkhauser, 259-277.
Applebaum, D. (2005), ``Lectures on Levy Processes, Stochastic Calculus and Financial Applications'', Ovronnaz, September 2005.
Balakrishna, B. S. (2009), ``Levy Density Based Intensity Modeling of the Correlation Smile'', Available at http://www.defaultrisk.com/pp_crdrv128.htm.
Baxter, M. (2007). ``Levy Simple Structural Models'', in ``Credit Correlation - Life after Copulas'', Lipton and Rennie (Editors), World Scientific.
Bennani, N. (2005), ``The Forward Loss Model: A Dynamic Term Structure Approach for the Pricing of Portfolio Credit Derivatives'', http://www.defaultrisk.com/ pp_crdrv_95.htm.
Brigo, D., A. Pallavicini and R. Torresetti (2006), ``Default Correlation, Cluster Dynamics and Single Names: The GPCL dynamical loss model'', http://ssrn.com/abstract=956827.
Brigo, D., A. Pallavicini and R. Torresetti. (2010) ``Credit Models and the Crisis, or: How I learned to stop worrying and love the CDOs'', http://ssrn.com/abstract=1529498.
Chapovsky, A., A. Rennie and P. A. C. Tavares (2007), ``Stochastic Intensity Modeling for Structured Credit Exotics'', Int. Jnl. of Theoretical and Applied Finance, 10(4), pp. 633-652.
Di Graziano, G. and C. Rogers (2009), ``A Dynamic Approach to the Modeling of Correlation Credit Derivatives Using Markov Chains'', Int. Jnl. of Theoretical and Applied Finance, 12(1), pp. 45-62.
Duffie, D. and N. Garleanu (2001), ``Risk and the Valuation of Collateralized Debt Obligations'', Financial Analysts Journal, 57, pp. 41-59.
Errais, E., K. Giesecke and L. Goldberg (2006), ``Affine Point Processes and Portfolio Credit Risk'', Available at http://ssrn.com/abstract=908045.
Hull, J. and A. White (2006), ``Valuing Credit Derivatives Using an Implied Copula Approach'', Journal of Derivatives, 14(2), pp. 8-28.
Joshi, M. and A. Stacey (2005), ``Intensity Gamma: A New Approach to Pricing Credit Derivatives'', Risk Magazine, July 2006.
Overbeck, L. and W. Schmidt (2005), ``Modeling Default Dependence with Threshold Models'', Journal of Derivatives, 12(4), pp. 10–19.
Putyatin, V., D. Prieul and S. Maslova (2005), ``A Markovian approach to Modeling Correlated Defaults'', Risk Magazine, May 2005.
Sidenius, J., V. Piterbarg and L. Andersen (2005), ``A New Framework for Dynamic Credit Portfolio Loss Modeling'', http://www.defaultrisk.com/pp_model_83.htm.
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Levy Subordinator Model of Default Dependency. (deposited 14. Mar 2010 20:58)
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