Valuation of Credit Default Swap and Swaptions
نویسنده
چکیده
This paper presents a conceptual framework for valuation of single-name credit derivatives, and recuperates, in some cases generalizing, a few of known results in credit risk theory. Valuation is viewed with respect to a given state price and relative to a general numeraire. Survival probabilities and default recoveries are considered as processes adapted to a subfiltration, following Jeanblanc and Rutosksy [JR], or, in the special case of Cox processes, Lando [L]. A result of Duffie and Singleton [DS] on pricing bonds with recovery in terms of loss ratio is reproduced. The notion of coadapted change of numeraire is introduced, and its invariants identified and studied. The concept of a credit claim is formalized by introducing notions of T -claims, τ -claims, and T -streams. Application is made to credit default swaps and swaption, and a known Black-Scholes approximation for the latter is derived.
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تاریخ انتشار 2002