Counterparty Risk Valuation: A Marked Branching Diffusion Approach
Pierre Henry-Labordere ()
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Pierre Henry-Labordere: SOCIETE GENERALE - Equity Derivatives Research Societe Generale - Société Générale
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Abstract:
The 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.
Keywords: Counterparty risk valuation; BSDE; branching diffusions; semi-linear PDE; Galton-Watson tree (search for similar items in EconPapers)
Date: 2012
New Economics Papers: this item is included in nep-ban, nep-cba, nep-cmp and nep-rmg
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Published in 2012
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