Affine Processes for Dynamic Mortality and Actuarial Valuations

37 Pages Posted: 12 Jan 2005

See all articles by Enrico Biffis

Enrico Biffis

Imperial College Business School

Date Written: October 2004


We address the risk analysis and market valuation of life insurance contracts in a jump-diffusion setup. We exploit the analytical tractability of affine processes to deal simultaneously with financial and demographic risks affecting a wide range of insurance covers. We then focus on mortality at pensionable ages and show how the risk of longevity can be taken into account. A parallel with the pricing of certain credit risky securities is drawn, in order to employ important results derived in that field.

Keywords: Affine jump-diffusion, stochastic mortality, doubly stochastic processes, longevity risk, fair value

JEL Classification: G13, G22, J11, M40

Suggested Citation

Biffis, Enrico, Affine Processes for Dynamic Mortality and Actuarial Valuations (October 2004). Cass Business School Research Paper, Available at SSRN: or

Enrico Biffis (Contact Author)

Imperial College Business School ( email )

Imperial College London
South Kensington campus
London, SW7 2AZ
United Kingdom

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