July 25th, 2006, 11:40 pm
Atul, to be honest I think your best bet would be to talk to an academic in the area of credit product pricing at your college after having read some current literature. I am always weary of thsis ideas other people give you (in papers, forums etc), as if the idea truly was such an excellent innovation surely they would have run with it?!After reading a dozen papers common problems seem to recur, which often form a basis for a worthwhile contribution. For example, I am writing my thesis on the base correlation skew's dynamics, as explaining the correlation skew is a serious problem in credit pricing at the moment. I am hoping to provide some insight into which model is best used to explain the correlation skew from an alternative angle, as generating a static correlation skew is sufficient.Here is my bibliography at the moment:[1] Altman, E., Brady, B., Resti, A. and Sironi, A., 2004, The Link betweenDefault and Recovery Rates: Theory, Empirical Evidence, and Implications,The Journal of Business, 78, pp 2203-2228[2] Andersen, L. and Sidenius, J., 2005, Extensions to the Gaussian Copula:Random Recovery and Random Factor Loadings, Journal of Credit Risk,1(1)[3] Burtschell, X., Gregory, J. and Laurent, J-P., 2005, Beyond the GaussianCopula: Stochastic and Local Correlation, working paper, BNP Paribas,Barclays Capital and ISFA Actuarial School, University Claude Bernard ofLyon[4] Burtschell, X., Gregory, J., and Laurent, J-P., 2005a, A comparative analysisof CDO pricing models, working paper, BNP Paribas and ISFA ActuarialSchool, University of Lyon[5] Chen, H. and Schmeiser, W., 2001, Stochasting root finding via retrospectiveapproximation, IIE Transactions, 33(3), pp 259-275[6] Cont, R. and da Fonseca, J., 2002, Dynamics of implied volatility surfaces,Quantitative Finance, 2, pp 45-60[7] Duffie, D. and Garleanu, N., 2001, Risk and Valuation of Collateralized DebtObligations, Financial Analysts Journal, 57(1), pp 41-59[8] Elizalde, A., 2005, Credit Risk Models IV: Understanding and pricingCDOs, working paper, Centro de Estudios Monetarios y Financieros(CEMFI), Madrid[9] Hull, J. and White, A., 2004, Valuation of a CDO and an n-th to defaultCDS without Monte Carlo simulation, Journal of Derivatives, 12(2), pp 8-16[10] Joshi, M. and Stacey, A., 2006, Intensity Gamma: a New Approach to PricingPortfolio Credit Derivatives, Risk Magazine, July 2006[11] Li, D., On default correlation: A Copula function approach, The Journal ofFixed Income, 9, pp 43-54[12] M¨uller, A., 2001, Stochastic Ordering of Multivariate Normal Distributions,Annals of the Institute of Statistical Mathematics, 53(3), pp 567-575[13] McGinty, L., and Ahluwalia, R., 2004, Introducing base correlations, JPMorgan Credit Derivatives StrategyBest of luck!