Cash Flow Optimization on Synthetic CDOs

Autor: Timothée Bligny, Clément Codron, Antoine Estruch, Nicolas Girodet, Clément Ginet
Jazyk: angličtina
Rok vydání: 2014
Předmět:
DOI: 10.5281/zenodo.1094765
Popis: Collateralized Debt Obligations are not as widely used nowadays as they were before 2007 Subprime crisis. Nonetheless there remains an enthralling challenge to optimize cash flows associated with synthetic CDOs. A Gaussian-based model is used here in which default correlation and unconditional probabilities of default are highlighted. Then numerous simulations are performed based on this model for different scenarios in order to evaluate the associated cash flows given a specific number of defaults at different periods of time. Cash flows are not solely calculated on a single bought or sold tranche but rather on a combination of bought and sold tranches. With some assumptions, the simplex algorithm gives a way to find the maximum cash flow according to correlation of defaults and maturities. The used Gaussian model is not realistic in crisis situations. Besides present system does not handle buying or selling a portion of a tranche but only the whole tranche. However the work provides the investor with relevant elements on how to know what and when to buy and sell.
{"references":["A. Alfonsi, C. Labart and L Jerome, \"Stochastic Local Intensity\nLoss Models with Interacting Particle Systems\", eprint arXiv:1302.2009\nMathematical Finance, pages 1–29, 2013.","J. Beumee, D. Brigo, D. Schiemert and D. Stoyle, \"Charting a Course\nThrough the CDS Big Bang\", Global Special Report, 2009.","D Brigo, A. Pallavicini and R. Torresetti, \"Calibration of CDO Tranches\nwith the Dynamic Generalized-Poisson Loss Model\", 2010.","R. Cont and Y. H. Kan, \"Dynamic hedging of portfolio credit derivatives\",\n2009.","R. Cont and A. Minca, \"Recovering portfolio default intensities implied\nby CDO quotes\", 2010.","R. Cont, R. Deguest and Y. H. Kan, \"Default intensities implied by CDO\nSpreads: inversion formula and model calibration\", 2010.","A. Cousin, \"Analyse du Risque et Couverture des Tranches de CDO\nSynthetique\", 2008.","X. L. David, \"On Default Correlation: A copula function approach\",\nJournal of Fixed Income, 9, 43–54, 2000.","A. Elizalde, \"Credit Risk Models IV: Understanding and pricing CDOs\",\n2005.\n[10] J. Hull and A. White, \"Valuing Credit Default Swaps I: No Counterparty\nDefault Risk\", Journal of Derivatives, 8, 29–40.\n[11] P. Jorion, \"Financial Risk Manager Handbook\", page 287, 2009.\n[12] R. Merton, \"On The Pricing of Corporate Debt: The Risk Structure of\nInterest Rates\", Journal of Finance, 29, 449–470, 1974.\n[13] D. O'Kane and S. Turnbull, \"Valuation of Credit Default Swaps\", Fixed\nIncome Quantitative Credit Research, 2003.\n[14] Y. Rakotondratsimba, \"Risque de credit et de contrepartie\", 2013.\n[15] Y. Rakotondratsimba, \"Probabilites pour la Finance\", 2013.\n[16] Y. Rakotondratsimba, \"Produits derives structures de credit :\nCollateralized Debt Obligations (CDOs)\", 2012.\n[17] M. B. Walker, \"CDO Valuation: Term Structure, Tranche Structure, and\nLoss Distributions\", page 26, 2007."]}
Databáze: OpenAIRE
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