Longevity Modelling and Pricing under a Dependent Multi-Cohort Framework

We propose a multi-cohort model that is able to capture the mortality correlation between different cohorts. The model is based on the Hull and White process to which we incorporate inter-generational risk factors, by modifying its stochastic part. We provide a pricing framework for a new survival f...

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Bibliographic Details
Main Authors: Fadoua Zeddouk, Pierre Devolder
Format: Article
Language:English
Published: MDPI AG 2020-11-01
Series:Risks
Subjects:
Online Access:https://www.mdpi.com/2227-9091/8/4/121
Description
Summary:We propose a multi-cohort model that is able to capture the mortality correlation between different cohorts. The model is based on the Hull and White process to which we incorporate inter-generational risk factors, by modifying its stochastic part. We provide a pricing framework for a new survival forward contract under the Cost of Capital, risk-neutral and Sharpe approaches, allowing to cover the global multi-cohort longevity risk. We give numerical illustrations for Belgian cohorts, and we compute the price of the longevity derivative under the proposed methods, for different correlation levels.
ISSN:2227-9091