Special Session 99: 

The Valuation of Vulnerable European Options with Risky Collateral

Guanying Wang
Tianjin University
Peoples Rep of China
Co-Author(s):    Xingchun Wang
Abstract:
In this paper, we investigate vulnerable European options with risky collateral. We describe the underlying asset and the risky collateral using geometric Brownian motions, and assume the option issuer`s default intensity follows an Ornstein-Uhlenbeck process. An integral-form pricing formula for call options is derived. Numerical results show that collateral can e ectively cover credit losses, especially for in-the-money options with high default risk.