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均衡定價模型評價壽命連結商品──以Swiss Re mortality bond為例
Thesis

均衡定價模型評價壽命連結商品──以Swiss Re mortality bond為例

鍾孟遑
Masters, 國立清華大學, 計量財務金融學系
2011

Abstract

死亡率債券 死亡率風險 保險證券化商品 均衡定價法 Swiss Re mortality Bond Mortality Risk Equilibrium Pricing Model
Securitization of catastrophic mortality risk provides an effective approach for the pension funds and insurance companies to transfer the mortality risk to capital market. With the increasing amounts of the mortality-linked contingent claims, a fair and accurate pricing method is necessary. In this paper, we come up with a general equilibrium approach to price the Swiss Re mortality bond in a discrete time economy. We differentiate our approach from other previous ones for assuming a more general distribution, which is known as a transformed normal distribution. Although we start our model under some strict assumptions, including the representative’s preference and the distribution of the wealth and mortality rate, we finally obtain a risk-neutral (preference-free) valuation relationship and the price of mortality bond could be the expected value of its terminal payoff, discounted by the risk-free rate. Furthermore, we find a closed-form solution for pricing the Swiss Re mortality bond.

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