Counterparty Risk Valuation: A Marked Branching Diffusion Approach
AbstractThe purpose of this paper is to design an algorithm for the computation of the counterparty risk which is competitive in regards of a brute force ''Monte-Carlo of Monte-Carlo" method (with nested simulations). This is achieved using marked branching diffusions describing a Galton-Watson random tree. Such an algorithm leads at the same time to a computation of the (bilateral) counterparty risk when we use the default-risky or counterparty-riskless option values as mark-to-market. Our method is illustrated by various numerical examples.
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Bibliographic InfoPaper provided by HAL in its series Working Papers with number hal-00677348.
Date of creation: 2012
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Counterparty risk valuation; BSDE; branching diffusions; semi-linear PDE; Galton-Watson tree;
This paper has been announced in the following NEP Reports:
- NEP-ALL-2012-03-21 (All new papers)
- NEP-BAN-2012-03-21 (Banking)
- NEP-CBA-2012-03-21 (Central Banking)
- NEP-CMP-2012-03-21 (Computational Economics)
- NEP-RMG-2012-03-21 (Risk Management)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- L. C. G. Rogers, 2002. "Monte Carlo valuation of American options," Mathematical Finance, Wiley Blackwell, vol. 12(3), pages 271-286.
- Fahim, Arash & Touzi, Nizar & Warin, Xavier, 2011. "A Probabilistic Numerical Method for Fully Nonlinear Parabolic PDEs," Economics Papers from University Paris Dauphine 123456789/5524, Paris Dauphine University.
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