Abstract
In insurance studies, longevity risk is defined as the uncertainty of mortality improvement in the future. Recently, it is significant that the average life span is longer than expected, especially among higher age people. During the near two decades, mortality-linked securities are prevalent in the U.S and European financial markets, and through securitization it successfully helps transfer mortality risk from insurance industry to capital market. The main purpose of this paper is to derive the reasonable market price of Taiwan longevity bond and also the market price of longevity risk. The approach applied in this paper puts the underlying stochastic mortality into consideration, and parameter uncertainty is also stressed. We use risk-neutral probability measure when pricing. One contribution of this paper is to introduce the two-factor mortality model to life offices in Taiwan. It also provides as a reference of pricing longevity bonds issued in the future.