A FULLY NON-LINEAR PDE PROBLEM FROM PRICING CDS WITH COUNTERPARTY RISK

作者:Hu, Bei; Jiang, Lishang; Liang, Jin*; Wei, Wei
来源:Discrete and Continuous Dynamical Systems-Series B, 2012, 17(6): 2001-2016.
DOI:10.3934/dcdsb.2012.17.2001

摘要

In this study, we establish a financial credit derivative pricing model for a contract which is subject to counterparty risks. The model leads to a fully nonlinear partial differential equation problem. We study this PDE problem and obtained a solution as the limit of a sequence of semi-linear PDE problems which also arise from financial models. Moreover, the problems and methods build a bridge between two main risk frameworks: structure and intensity models. We obtain the uniqueness, regularities and some properties of the solution of this problem.