Hedging contingent claims on defaultable assets

Following the JLT model (Jarrow, Lando and Turnbull), this paper represents a defaultable asset as a continuous stochastic process plus a Poisson jump modelling the bankruptcy event. It is shown that if the recovery condition is known beforehand, a contingent claim can be hedged by a position in the defaultable asset and a risk-free instrument. In addition, the claim must satisfy a jump-diffusion equation and a risk-neutral representation is obtained using this equation. Examples include the price of a risky zero-coupon bond with a fixed recovery value and the prices of risky Call/Put options on corporate instruments (instrument terminates upon default).