Article ID: | iaor20073448 |
Country: | Netherlands |
Volume: | 152 |
Issue: | 1 |
Start Page Number: | 49 |
End Page Number: | 77 |
Publication Date: | Jul 2007 |
Journal: | Annals of Operations Research |
Authors: | Zenios Stavros A., Saunders David, Xiouros Costas |
Keywords: | credit risk, portfolio management |
We study portfolio credit risk management using factor models, with a focus on optimal portfolio selection based on the tradeoff of expected return and credit risk. We begin with a discussion of factor models and their known analytic properties, paying particular attention to the asymptotic limit of a large, finely grained portfolio. We recall prior results on the convergence of risk measures in this ‘large portfolio approximation’ which are important for credit risk optimization. We then show how the results on the large portfolio approximation can be used to reduce significantly the computational effort required for credit risk optimization. For example, when determining the fraction of capital to be assigned to particular ratings classes, it is sufficient to solve the optimization problem for the large portfolio approximation, rather than for the actual portfolio. This dramatically reduces the dimensionality of the problem, and the amount of computation required for its solution. Numerical results illustrating the application of this principle are also presented.