LARGE PORTFOLIO CREDIT RISK MODELING

A model for large portfolio credit risk is developed by using results on the asymptotic behavior of stochastic networks. An efficient pricing technique is proposed using a newly-introduced quadrature algorithm. Accurate calibration to iTraxx tranche spreads is demonstrated.

[1]  L. Rogers,et al.  Diffusions, Markov processes, and martingales , 1979 .

[2]  S. Schipke A. H. Stroud, Don Secrest, Gaussian Quadrature Formulas. IX + 369 S. London 1966. Prentice-Hall, Inc. Preis geb. £ 6 , 1967 .

[3]  J. Neveu Sur les mesures de Palm de deux processus ponctuels stationnaires , 1976 .

[4]  M. Reiman,et al.  Fluid and diffusion limits for queues in slowly changing environments , 1997 .

[5]  H. Teicher,et al.  Probability theory: Independence, interchangeability, martingales , 1978 .

[6]  A. Stroud,et al.  Gaussian quadrature formulas , 1966 .

[7]  R. Mach,et al.  Orthogonal polynomials with exponential weight in a finite interval and application to the optical model , 1984 .

[8]  David Lando,et al.  Confidence Sets for Continuous-Time Rating Transition Probabilities , 2004 .

[9]  Martin Crowder,et al.  Analysis of default data using hidden Markov models , 2005 .

[10]  Michel Loève,et al.  Probability Theory I , 1977 .

[11]  Zhang Hanqin,et al.  MULTIPLE CHANNEL QUEUES IN HEAVY TRAFFIC , 1990 .

[12]  Daniel Remenik Limit theorems for individual-based models in economics and finance , 2008, 0810.2813.

[13]  D. Iglehart Multiple channel queues in heavy traffic , 1971, Advances in Applied Probability.

[14]  Halina Frydman,et al.  Credit Rating Dynamics and Markov Mixture Models , 2004 .

[15]  Avishai Mandelbaum,et al.  Strong approximations for Markovian service networks , 1998, Queueing Syst. Theory Appl..

[16]  H. M. Möller,et al.  Invariant Integration Formulas for the n-Simplex by Combinatorial Methods , 1978 .

[17]  T. Kurtz Strong approximation theorems for density dependent Markov chains , 1978 .

[18]  Fan Yu,et al.  DEFAULT RISK AND DIVERSIFICATION: THEORY AND EMPIRICAL IMPLICATIONS , 2003 .

[19]  Ward Whitt,et al.  An Introduction to Stochastic-Process Limits and their Application to Queues , 2002 .

[20]  A. Stroud Approximate calculation of multiple integrals , 1973 .