Balakrishna, B S (2010): Levy Subordinator Model of Default Dependency.
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Abstract
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 |
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Original Title: | Levy Subordinator Model of Default Dependency |
Language: | English |
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 |
Item ID: | 24055 |
Depositing User: | S Balakrishna |
Date Deposited: | 23 Jul 2010 02:56 |
Last Modified: | 29 Sep 2019 02:07 |
References: | 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. Andersen, L. and J. Sidenius (2004), ``Extension to the Gaussian Copula: Random Recovery and Random Factor Loadings'', Journal of Credit Risk, 1(1), pp. 29-70. 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. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/24055 |
Available Versions of this Item
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Levy Subordinator Model of Default Dependency. (deposited 14 Mar 2010 20:58)
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Levy Subordinator Model of Default Dependency. (deposited 16 Apr 2010 14:37)
- Levy Subordinator Model of Default Dependency. (deposited 23 Jul 2010 02:56) [Currently Displayed]
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Levy Subordinator Model of Default Dependency. (deposited 16 Apr 2010 14:37)