Abstract
Due to the frequent catastrophes all over the world in recent years, it causes the extreme mortality rate and gives the insurance companies and reinsurance companies a pound. In order to transfer the mortality systematic risk to capital markets, the mortality-linked securities were issued. The issuance of Swiss Re mortality bond in the end of 2003 year is an example. In this paper, we assume the mortality rate has a transformed gamma distribution and the security is priced by an equilibrium method in the discrete time economy. Furthermore, the risk neutral valuation relationship (RNVR) is obtained. The price of any life-related security is the sum of expected payoff discounted by risk-free rate. Finally, under the restricted conditions of the investor’s preference, the distribution of the mortality and wealth, we can obtain the closed-form solution of the mortality-linked securities and we take the Swiss Re mortality bond as numerical example.