Catastrophe risk bond is an alternative important of financial instruments
and significant in transferring catastrophe risk to the capital markets. CAT Bond
created as a complement to the traditional insurance or reinsurance contract in
funding due to the risk of the catastrophe event. An important parameter in all
pricing models of CAT Bond is a probability of the catastrophe. The catastrophe
events are assumed to follow the Poisson process. First, we derive a zero coupon
bond pricing formula in a stochastic interest rate of CIR model with martingale
method as instruments of pricing CAT Bond