A basket default swap is a derivative security tied to an underlying basket of corporate bonds or other assets subject to credit risk. The value of the contract depends on the joint distribution of the default times of the underlying assets. Valuing a basket default swap often entails Monte Carlo simulation of these default times. For baskets of high-quality credits and for swaps that require m...

The goal of this paper is to determine the Incremental Risk Charge (IRC) and the Comprehensive Risk Measure (CRM) of a portfolio consisting of credit derivatives and tranches. More specifically, we implement different methods to calibrate default intensity models, backtest our IRC calculations over historical data, and focus our attention on a basket of Credit Default Swaps (CDS).

The specification of a realistic dependence structure is key to the pricing of multi-name credit derivatives. We value small k th-to-default CDS baskets in the presence of asset correlation and default contagion. Using a first-passage framework, firm values are modeled as correlated geometric Brownian motions with exponential default thresholds. Idiosyncratic links between companies are incorpo...

1 In the credit risk analysis, the dependence of default times is one of most important issues, for the portfolio credit derivatives as basket default swaps and CDOs, and also for the contagious credit risks. In the literature, the modelling of multi credit names is diversified in various directions such as Markov models ([3, 4]), contagion models ([10]), latent variable models ([8]) and loss p...

In this note, we show on a stylised example how one can hedge Basket Credit Derivatives using a related family of liquid hedging products. Using simple Non-Arbitrage arguments and results from stochastic calculus, we prove that one can build a self-financing portfolio written on Credit Default Swaps which replicates the payoff of a general Credit Derivative.

|T ] is a nondecreasing function of T , and show how it can be efficiently estimated by a simulation study that stratifies on T. Our results are applied to static and dynamic reliability systems, the pricing of derivatives related to basket default swaps, and to round robin tournaments.

Portfolio credit derivatives, such as basket credit default swaps (basket CDS), require for their pricing an estimation of the dependence structure of defaults, which is known to exhibit tail dependence as reflected in observed default contagion. A popular model with this property is the (Student’s) t copula; unfortunately there is no fast method to calibrate the degree of freedom parameter. In...

This paper looks at both the prepayment risks of housing mortgage loan credit default swaps (LCDS) as well as the fuzziness and hesitation of investors as regards prepayments by borrowers. It further discusses the first default pricing of a basket of LCDS in a fuzzy environment by using stochastic analysis and triangular intuition-based fuzzy set theory. Through the 'fuzzification' of the sensi...