Pricing Death: Frameworks for the Valuation and Securitization of Mortality Risk
Open Access
- 1 May 2006
- journal article
- Published by Cambridge University Press (CUP) in ASTIN Bulletin
- Vol. 36 (1), 79-120
- https://doi.org/10.2143/ast.36.1.2014145
Abstract
It is now widely accepted that stochastic mortality – the risk that aggregate mortality might differ from that anticipated – is an important risk factor in both life insurance and pensions. As such it affects how fair values, premium rates, and risk reserves are calculated.This paper makes use of the similarities between the force of mortality and interest rates to examine how we might model mortality risks and price mortality-related instruments using adaptations of the arbitrage-free pricing frameworks that have been developed for interest-rate derivatives. In so doing, the paper pulls together a range of arbitrage-free (or risk-neutral) frameworks for pricing and hedging mortality risk that allow for both interest and mortality factors to be stochastic. The different frameworks that we describe – short-rate models, forward-mortality models, positive-mortality models and mortality market models – are all based on positive-interest-rate modelling frameworks since the force of mortality can be treated in a similar way to the short-term risk-free rate of interest. While much of this paper is a review of the possible frameworks, the key new development is the introduction of mortality market models equivalent to the LIBOR and swap market models in the interest-rate literature.These frameworks can be applied to a great variety of mortality-related instruments, from vanilla longevity bonds to exotic mortality derivatives.Keywords
This publication has 47 references indexed in Scilit:
- A Two‐Factor Model for Stochastic Mortality with Parameter Uncertainty: Theory and CalibrationJournal of Risk and Insurance, 2006
- Living with Mortality: Longevity Bonds and Other Mortality-Linked SecuritiesBritish Actuarial Journal, 2006
- Securitization of Mortality Risks in Life AnnuitiesJournal of Risk and Insurance, 2005
- Securitization of Life Insurance Assets and LiabilitiesJournal of Risk and Insurance, 2005
- Non Mean Reverting Affine Processes for Stochastic MortalitySSRN Electronic Journal, 2005
- Moral Hazard, Basis Risk, and Gap InsuranceJournal of Risk and Insurance, 2002
- A Class of Distortion Operators for Pricing Financial and Insurance RisksJournal of Risk and Insurance, 2000
- LIBOR and swap market models and measuresFinance and Stochastics, 1997
- A note on the Flesaker-Hughston model of the term structure of interest ratesApplied Mathematical Finance, 1997
- Considerations affecting the preparation of standard tables of mortalityJournal of the Institute of Actuaries, 1974