Market Completeness in the Presence of Default Risk
by Nordine Bennani of Société Générale, and
Abstract: In this paper, we study the case of a credit market and try to achieve the completeness, for a given class of assets, using replicating strategy based on a set of defaultable basic assets and cash account. In practice, the assets used for hedging strategies are the defaultable zero-coupon bonds of different maturities. As the payment at hit is admissible in the credit market, this class of asset can be considered as equivalent to the CDS, which is the practical hedging instrument.