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Title: Pricing Longevity Bonds Using Affine-Jump Diffusion Models
Authors: Bravo, Jorge
Editors: Portuguese Economic Journal
Keywords: stochastic mortality
longevity bond
affine models
life table
Issue Date: 2008
Publisher: 2nd Annual Meeting of the Portuguese Economic Journal
Citation: Bravo, J. M. (2008). Pricing Longevity Bonds Using Affine-Jump Diffusion Models, Proceedings of the 2nd Annual Meeting of the Portuguese Economic Journal, Évora, Portugal. Disponível em:
Abstract: Historically, actuaries have been calculating premiums and mathematical reserves using a deterministic approach, by considering a deterministic mortality intensity, which is a function of the age only, extracted from available (static) life tables and by setting a flat ("best estimate") interest rate to discount cash flows over time. Since neither the mortality intensity nor interest rates are actually deterministic, life insurance companies and pension funds are exposed to both financial and mortality (systematic and unsystematic) risks when pricing and reserving for any kind of long-term living benefits, particularly on annuities and pensions. In this paper, we assume that an appropriate description of the demographic risks requires the use of stochastic models. In particular, we assume that the random evolution of the stochastic force of mortality of an individual can be modelled by using doubly stochastic processes. The model is then embedded into the well know affine-jump framework, widely used in the term structure literature, in order to derive closed-form solutions for the survival probability. We show that stochastic mortality models provide an adequate framework for the development of longevity risk hedging tools, namely mortality-linked contracts such as longevity bonds or mortality derivatives.
Type: article
Appears in Collections:ECN - Artigos em Livros de Actas/Proceedings

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