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Lecture_7_CVA_201820180402201111

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CVA

Unilateral CVA

Unilateral CVA – Cash flows

Cash flows are given by:

1 if default comes after final maturity τ > T, the original payoff:

+ 1 {τ>T} Π(t,T)

2 if default occurs before maturity τ < T:

1 the payments due before default:

+ 1 {τ≤T} Π(t,τ)

2 the recovery of the residual net present value at default, if positive:

+ 1 {τ≤T} RecD(t,τ) (E τ[Π(τ,T)]) +

3 minus the total residual net present value at default, if negative:

− 1 {τ≤T} D(t,τ) (−E τ[Π(τ,T)]) +

Paola Mosconi 20541 – Lecture 10-11 30 / 86

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