The global structured credit landscape has been irrevocably changed with the innovation of Collateralized Debt Obligations (abbreviated as CDOs). As of 2006, the volume of synthetic CDO structures outstanding grew to over $1.9 trillion. Understanding the risk/return trade-off dynamics underlying the bespoke collateral portfolios is crucial when optimising the utility provided by these instruments. In this paper, we study the behaviour of the efficient frontier generated for a collateral portfolio under heavy-tailed distribution assumptions. The convex and coherent credit risk measures, ETL and Copula Marginal ETL (abbreviated as CMETL), are used as our portfolio optimisation criterion. iTraxx Europe IG S5 index constituents are used as an illustrative example.
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References
E. Beinstein, “A review of themes from 2006 and outlook for 2007,” JP Morgan, in Corporate Quantitative Research, 2007.
C. Finger, “Conditional approaches for credit metrics portfolio distributions,” Credit Metrics Monitor, 2(1), 1999, 14–33.
P. Schonbucher, “Taken to the limit: Simple and not so simple loan loss distributions,” Working paper, Department of Statistics, Bonn University.
O. Vasicek, “Probability of loss on a loan portfolio,” Technical report, KMV Corporation, 1987, Available: www.moodys.com.
J. P. Laurent, & J. Gregory, “Basket Default Swaps, CDO's and Factor Copulas,” Working paper, 2002.
H. Mausser, & D. Rosen, “Efficient risk/return frontiers for credit risk,” in Algo Research Quarterly, 2(4), 1999, 9–22.
R. T. Rockafellar, & S. Uryasev, “Optimisation of conditional value-at-risk,” in Journal of Risk, 3, 2000, 21–41.
P. Artzner, F. Delbaen, J. M. Eber, & D. Heath, “Coherent measures of risk,” in Mathematical Finance, 9, 1999, 203–28.
S. T. Rachev, R. D. Martin, B. Racheva, & S. Stoyanov, “Stable ETL optimal portfolios & extreme risk management,” FinAnalytica, 2006, Available: www.statistik.uni-karlsruhe.de/ download/Stable_Distributions_White_Paper.pdf
M. Kalkbrener, H. Lotter, & L. Overbeck, “Sensible and efficient capital allocation for credit portfolios,” Deutsche Bank AG, 2003 Available: http://www.gloriamundi.org/detailpopup. asp?ID = 453057574
A. Rajan, G. McDermotte, & R. Roy, The Structured Credit Handbook, Wiley Finance Series, New Jersey, 2006, pp. 153–155.
G. Tejwani, A. Yoganandan, & A. Jha, “How do dealers risk manage synthetic CDOs,” Lehman Brothers, in Structured Credit Research, 2007.
J. P. Nolan, “Numerical Calculation of Stable densities and distribution functions,” in Communications in Statistics — Stochastic Models, 13, 1997, 759–774.
S. Mittnik, T. Doganoglu, & D. Chenyao, “Computing the probability density function of Stable Paretian distributions,” in Mathematical & Computer Modelling, 29, 1999, 235–240.
O. Vasicek, “Probability of loss on a loan portfolio,” Technical report, KMV Corporation, 1987, Available: www.moodys.com
F. R. Frey, A. McNiel, & M. Nyfeler, “Copulas and credit models,” in Risk, October, 2001, pp. 111–113.
H. Follmer, & A. Schied, “Robust preferences and convex measures of risk,” In S. Klaus, P. J. Schonbucher, & D. Sondermann, editors, Advances in Finance and Stochastics, Springer, New York, pp. 39–56, 2002.
D. Jewan, R. Guo, & G. Witten, “Copula marginal expected tail loss efficient frontiers for CDOs of bespoke portfolios,” in Proceedings of the World Congress in Financial Engineering Conference, 2, 1124–1129, London, July 1–7, 2008.
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Jewan, D., Guo, R., Witten, G. (2009). Expected Tail Loss Efficient Frontiers for CDOS of Bespoke Portfolios Under One-Factor Copula Marginal Distributions. In: Ao, SI., Gelman, L. (eds) Advances in Electrical Engineering and Computational Science. Lecture Notes in Electrical Engineering, vol 39. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-2311-7_49
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