A simplified model for measuring longevity risk for life insurance products

Abstract In this paper, we propose a simple dynamic mortality model to fit and forecast mortality rates for measuring longevity and mortality risks. This proposal is based on a methodology for modelling interest rates, which assumes that changes in spot interest rates depend linearly on a small numb...

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Main Authors: David Atance, Eliseo Navarro
Format: Article
Language:English
Published: SpringerOpen 2024-02-01
Series:Financial Innovation
Subjects:
Online Access:https://doi.org/10.1186/s40854-023-00515-0
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author David Atance
Eliseo Navarro
author_facet David Atance
Eliseo Navarro
author_sort David Atance
collection DOAJ
description Abstract In this paper, we propose a simple dynamic mortality model to fit and forecast mortality rates for measuring longevity and mortality risks. This proposal is based on a methodology for modelling interest rates, which assumes that changes in spot interest rates depend linearly on a small number of factors. These factors are identified as interest rates with a given maturity. Similarly, we assume that changes in mortality rates depend linearly on changes in a specific mortality rate, which we call the key mortality rate. One of the main advantages of this model is that it allows the development of an easy to implement methodology to measure longevity and mortality risks using simulation techniques. Particularly, we employ the model to calculate the Value-at-Risk and Conditional-Value-at-Risk of an insurance product testing the accuracy and robustness of our proposal using out-of-sample data from six different populations.
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spelling doaj.art-39b06f8d2ed245d88d8c109397e53d6a2024-03-05T20:01:39ZengSpringerOpenFinancial Innovation2199-47302024-02-0110113010.1186/s40854-023-00515-0A simplified model for measuring longevity risk for life insurance productsDavid Atance0Eliseo Navarro1Faculty of Economics and Business, University of AlcaláFaculty of Economics and Business, University of AlcaláAbstract In this paper, we propose a simple dynamic mortality model to fit and forecast mortality rates for measuring longevity and mortality risks. This proposal is based on a methodology for modelling interest rates, which assumes that changes in spot interest rates depend linearly on a small number of factors. These factors are identified as interest rates with a given maturity. Similarly, we assume that changes in mortality rates depend linearly on changes in a specific mortality rate, which we call the key mortality rate. One of the main advantages of this model is that it allows the development of an easy to implement methodology to measure longevity and mortality risks using simulation techniques. Particularly, we employ the model to calculate the Value-at-Risk and Conditional-Value-at-Risk of an insurance product testing the accuracy and robustness of our proposal using out-of-sample data from six different populations.https://doi.org/10.1186/s40854-023-00515-0MortalityLongevity riskForecastingKey ageVaR
spellingShingle David Atance
Eliseo Navarro
A simplified model for measuring longevity risk for life insurance products
Financial Innovation
Mortality
Longevity risk
Forecasting
Key age
VaR
title A simplified model for measuring longevity risk for life insurance products
title_full A simplified model for measuring longevity risk for life insurance products
title_fullStr A simplified model for measuring longevity risk for life insurance products
title_full_unstemmed A simplified model for measuring longevity risk for life insurance products
title_short A simplified model for measuring longevity risk for life insurance products
title_sort simplified model for measuring longevity risk for life insurance products
topic Mortality
Longevity risk
Forecasting
Key age
VaR
url https://doi.org/10.1186/s40854-023-00515-0
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AT eliseonavarro simplifiedmodelformeasuringlongevityriskforlifeinsuranceproducts