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Price bounds of mortality-linked security in incomplete insurance market
Journal article   Peer reviewed

Price bounds of mortality-linked security in incomplete insurance market

Yu-Lieh Huang, Jeffrey Tzuhao Tsai, Sharon S. Yang and Hung-Wen Cheng
Insurance: Mathematics and Economics, Vol.55(1), pp.30-39
03/2014

Abstract

Incomplete market pricing Mortality bond valuation Mortality risk Mortality-linked security
This study investigates reasonable price bounds for mortality-linked securities when the issuer has only a partial hedging ability. The price bounds are established by minimizing the difference between the benchmark price and the replicating portfolio cost subject to the gain-loss ratio of excess payoff of the mortality-linked securities. In contrast to the previous studies, the assumptions of no-arbitrage pricing and utility-based pricing are not fully employed in this study because of the incompleteness of the insurance securitization market. Instead, a framework including three insurance basis assets is constructed to search for the price bounds of mortality-linked securities and use the Swiss Re mortality catastrophe bond, issued in 2003, as a numerical example. The proposed price bounds are valuable for setting bid-asked spreads and coupon premiums, and establishing trading strategies in the raising mortality securitization markets. © 2013.

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