Collateral Margining in Arbitrage-Free Counterparty Valuation Adjustment Including Re-Hypotecation and Netting
39 Pages Posted: 20 Jan 2011
Date Written: January 20, 2011
This paper generalizes the framework for arbitrage-free valuation of bilateral counterparty risk to the case where collateral is included, with possible re-hypotecation. We analyze how the payout of claims is modified when collateral margining is included in agreement with current ISDA documentation. We then specialize our analysis to interest-rate swaps as underlying portfolio, and allow for mutual dependences between the default times of the investor and the counterparty and the underlying portfolio risk factors. We use arbitrage-free stochastic dynamical models, including also the effect of interest rate and credit spread volatilities. The impact of re-hypotecation, of collateral margining frequency and of dependencies on the bilateral counterparty risk adjustment is illustrated with a numerical example.
Keywords: Counterparty Risk, Bilateral CVA, Collateral Management, Collateral Re-Hypothecation, Close-Out Amount, Margining Procedure, Netting Rules, Hybrid Products, Correlation, Risk Neutral Valuation, Default Risk, Interest Rate Models, Default Intensity Models
JEL Classification: G13
Suggested Citation: Suggested Citation
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