Asymmetric Defaultable Interest Rate Swap Valuation and Bilateral Credit Value Adjustment

The unilateral defaultable claim valuation problems have been studied extensively, but the valuation of a bilateral contingent claim with asymmetric credit qualities is still lacking convincing mechanism. This paper presents an analytical model for valuing contingent claims, e.g., interest rate swaps, subject to default by both counterparties. The default-free interest rates are modeled by the Market Models, while the default time is modeled by the reduced-form model as the first jump of a time-inhomogeneous Poisson process. All quantities modeled are market-observable. The closed-form solution gives us a better understanding of the impact of the credit asymmetry on swap value, credit value adjustment, swap rate and swap spread.