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M. Wise and V. Bhansali, “Correlated Random Walks and the Joint Survival Probability,” Working Paper, Caltech and PIMCO, pp. 1-13.

has been cited by the following article:

• TITLE: Valuation of Credit Default Swap with Counterparty Default Risk by Structural Model

  AUTHORS: Jin Liang, Peng Zhou, Yujing Zhou, Junmei Ma

  KEYWORDS: CDS Spread, Counterparty Default Risk, Structural Model, PDE Method, Monte Carlo Calculation

  JOURNAL NAME: Applied Mathematics, Vol.2 No.1, January 30, 2011

  ABSTRACT: This paper provides a methodology for valuing a credit default swap (CDS) with considering a counterparty default risk. Using a structural framework, we study the correlation of the reference entity and the counterparty through the joint distribution of them. The default event discussed in our model is associated to whether the minimum value of the companies in stochastic processes has reached their thresholds (default barriers). The joint probability of minimums of correlated Brownian motions solves the backward Kolmogorov equation, which is a two dimensional partial differential equation. A closed pricing formula is obtained. Numerical methodology, parameter analysis and calculation examples are implemented.