Centro de Documentacion de Fundación MAPFRE - Managing mortality risk with longevity bonds when mortality rates are cointegrated

MAP20170028826

Managing mortality risk with longevity bonds when mortality rates are cointegrated / Tat Wing Wong, Mei Choi Chiu, Hoi Ying Wong

37 p.

Sumario: This article investigates the dynamic mean-variance hedging problem of an insurer using longevity bonds (or longevity swaps). Insurance liabilities are modeled using a doubly stochastic compound Poisson process in which the mortality rate is correlated and cointegrated with the index mortality rate. We solve this dynamic hedging problem using a theory of forward-backward stochastic differential equations. Our theory shows that cointegration materially affects the optimal hedging strategy beyond correlation. The cointegration effect is independent of the risk preference of the insurer. Explicit solutions for the optimal hedging strategy are derived for cointegrated stochastic mortality models with both constant and state-dependent volatilities

En: The Journal of risk and insurance. - Nueva York : The American Risk and Insurance Association, 1964- = ISSN 0022-4367. - 04/09/2017 Volumen 84 Número 3 - septiembre 2017 , p. 987-1023

1. Mortalidad . 2. Longevidad . 3. Ecuaciones diferenciales . 4. Cointegración . 5. Gerencia de riesgos . I. Choi Chiu, Mei . II. Ying Wong, Hoi . III. Título.