In this paper, we study the pricing and hedging of catastrophe European option when catastrophe loss is described by a regime-switching jump di?usion process. We derive the close-form pricing formula of catastrophe European options and brie°y discuss the pricing issue of catastrophe bonds. We extend the formulas of static hedging strategies to the regime-switching setting and provide some discussions on the static hedging of catastrophe options. Numerical examples show that static hedging strategy of catastrophe options is effective.

Using the daily data of Chinese 7-day repo rates from January 1, 1997 to December 31, 2008, this paper tests a variety of popular spot rate models, including single-factor diffusion, GARCH, Markov regime-switching and jump-diffusion models. We document that Chinese spot rates are subject to both market forces and administrative forces. GARCH, regime-switching and jump-diffusion models capture some important features of the dynamics of Chinese spot rates, but all models under study are overwhelmingly rejected. We further explore possible sources of model misspecification using diagnostic tests.