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Bilateral Credit Valuation Adjustment for Large Credit Derivatives Portfolios

Pricing of Securities 2013-05-27 v1

Abstract

We obtain an explicit formula for the bilateral counterparty valuation adjustment of a credit default swaps portfolio referencing an asymptotically large number of entities. We perform the analysis under a doubly stochastic intensity framework, allowing for default correlation through a common jump process. The key insight behind our approach is an explicit characterization of the portfolio exposure as the weak limit of measure-valued processes associated to survival indicators of portfolio names. We validate our theoretical predictions by means of a numerical analysis, showing that counterparty adjustments are highly sensitive to portfolio credit risk volatility as well as to default correlation.

Keywords

Cite

@article{arxiv.1305.5575,
  title  = {Bilateral Credit Valuation Adjustment for Large Credit Derivatives Portfolios},
  author = {Lijun Bo and Agostino Capponi},
  journal= {arXiv preprint arXiv:1305.5575},
  year   = {2013}
}