Work

Managing Mortality Risk With Longevity Bonds When Mortality Rates Are Cointegrated

Year: 2015

Type: article

Abstract: 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.

Source: Journal of Risk & Insurance

DOI: 10.1111/jori.12110

Authors: Tat Wing Wong, Mei Choi Chiu, Hoi Ying Wong

Institutions: Beijing Normal-Hong Kong Baptist University, Education University of Hong Kong, Chinese University of Hong Kong

Language: English

Topic: Stochastic processes and financial applications

Subfield: Finance

Field: Economics, Econometrics and Finance

Domain: Social Sciences

Open Access status: bronze

OpenAlex ID: W2124335514

FWCI: 3.829

Cites: 49

Cited by: 25

Related to: 10