Discrete tenor models for credit risky portfolios driven by time-inhomogeneous Lévy processes (CROSBI ID 195534)
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Eberlein, Ernst ; Grbac, Zorana ; Schmidt, Thorsten
engleski
Discrete tenor models for credit risky portfolios driven by time-inhomogeneous Lévy processes
The goal of this paper is to specify dynamic term structure models with discrete tenor structure for credit portfolios in a top-down setting driven by time-inhomogeneous Lévy processes. We provide a new framework, conditions for absence of arbitrage, explicit examples, an affine setup which includes contagion and pricing formulas for STCDOs and options on STCDOs. A calibration to iTraxx data with an extended Kalman filter shows an excellent fit over the full observation period. The calibration is done on a set of CDO tranche spreads ranging across six tranches and three maturities.
collateralized debt obligations; loss process; single tranche CDO; ESB; top-down model; discrete tenor; market model; time-inhomogeneous Lévy processes; Libor rate; affine processes; extended Kalman filter; iTraxx
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Povezanost rada
Matematika