Graphical models for correlated defaults

Details Graphical models for correlated defaults Graphical models for correlated defaults

2008-09-08

arxiv.org/abs/0809.1393v1

Economy

Quantitative Finance

Computational Finance

30 pages, 16 figures

Scientific paper

A simple graphical model for correlated defaults is proposed, with explicit formulas for the loss distribution. Algebraic geometry techniques are employed to show that this model is well posed for default dependence: it represents any given marginal distribution for single firms and pairwise correlation matrix. These techniques also provide a calibration algorithm based on maximum likelihood estimation. Finally, the model is compared with standard normal copula model in terms of tails of the loss distribution and implied correlation smile.

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