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Actuarial Applications of Epidemiological Models

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  • Runhuan Feng
  • Jose Garrido

Abstract

The risk of a global avian flu or influenza A (H1 N1) pandemic and the emergence of the worldwide SARS epidemic in 2002–2003 have led to a revived interest in the study of infectious diseases. Mathematical models have become important tools in analyzing the transmission dynamics and in measuring the effectiveness of controlling strategies. Research on infectious diseases in the actuarial literature goes only so far in setting up epidemiological models that better reflect the transmission dynamics. This paper attempts to build a bridge between epidemiological and actuarial modeling and set up an actuarial model that provides financial arrangements to cover the expenses resulting from the medical treatments of infectious diseases.Based on classical epidemiological compartment models, the first part of this paper proposes insurance policies and models to quantify the risk of infection and formulates financial arrangements, between an insurer and insureds, using actuarial methodology. For practical purposes, the second part employs a variety of numerical methods to calculate premiums and reserves. The last part illustrates the methods by designing insurance products for two well-known epidemics: the Great Plague in England and the SARS epidemic in Hong Kong.

Suggested Citation

  • Runhuan Feng & Jose Garrido, 2011. "Actuarial Applications of Epidemiological Models," North American Actuarial Journal, Taylor & Francis Journals, vol. 15(1), pages 112-136.
    • Handle: RePEc:taf:uaajxx:v:15:y:2011:i:1:p:112-136
    DOI: 10.1080/10920277.2011.10597612
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    Cited by:

    1. Claude Lefèvre & Matthieu Simon, 2022. "On the Risk of Ruin in a SIS Type Epidemic," Methodology and Computing in Applied Probability, Springer, vol. 24(2), pages 939-961, June.
    2. Donatien Hainaut, 2020. "An Actuarial Approach for Modeling Pandemic Risk," Risks, MDPI, vol. 9(1), pages 1-28, December.
    3. Chen, Xiaowei & Chong, Wing Fung & Feng, Runhuan & Zhang, Linfeng, 2021. "Pandemic risk management: Resources contingency planning and allocation," Insurance: Mathematics and Economics, Elsevier, vol. 101(PB), pages 359-383.
    4. Camille Delbrouck & Jennifer Alonso-García, 2024. "COVID-19 and Excess Mortality: An Actuarial Study," Risks, MDPI, vol. 12(4), pages 1-27, March.
    5. Muhsin Tamturk & Dominic Cortis & Mark Farrell, 2020. "Examining the Effects of Gradual Catastrophes on Capital Modelling and the Solvency of Insurers: The Case of COVID-19," Risks, MDPI, vol. 8(4), pages 1-13, December.
    6. Caroline Hillairet & Olivier Lopez, 2021. "Propagation of cyber incidents in an insurance portfolio: counting processes combined with compartmental epidemiological models," Post-Print hal-02564462, HAL.
    7. Philippe Artzner & Karl-Theodor Eisele & Thorsten Schmidt, 2020. "Insurance-Finance Arbitrage," Papers 2005.11022, arXiv.org, revised Nov 2022.
    8. Caroline Hillairet & Olivier Lopez, 2020. "Propagation of cyber incidents in an insurance portfolio: counting processes combined with compartmental epidemiological models," Working Papers hal-02564462, HAL.
    9. Francisco J. Zagmutt & Stephen H. Sempier & Terril R. Hanson, 2013. "Disease Spread Models to Estimate Highly Uncertain Emerging Diseases Losses for Animal Agriculture Insurance Policies: An Application to the U.S. Farm‐Raised Catfish Industry," Risk Analysis, John Wiley & Sons, vol. 33(10), pages 1924-1937, October.
    10. Hainaut, Donatien, 2020. "An actuarial approach for modeling pandemic risk," LIDAM Discussion Papers ISBA 2020025, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    11. Claude Lefèvre & Matthieu Simon, 2020. "SIR-Type Epidemic Models as Block-Structured Markov Processes," Methodology and Computing in Applied Probability, Springer, vol. 22(2), pages 433-453, June.
    12. Xiaowei Chen & Wing Fung Chong & Runhuan Feng & Linfeng Zhang, 2020. "Pandemic risk management: resources contingency planning and allocation," Papers 2012.03200, arXiv.org.
    13. D'Amato, Valeria & Di Lorenzo, Emilia & Piscopo, Gabriella & Sibillo, Marilena & Trotta, Annarita, 2024. "Insurance business and social sustainability: A proposal," Socio-Economic Planning Sciences, Elsevier, vol. 93(C).
    14. Hillairet, Caroline & Lopez, Olivier & d'Oultremont, Louise & Spoorenberg, Brieuc, 2022. "Cyber-contagion model with network structure applied to insurance," Insurance: Mathematics and Economics, Elsevier, vol. 107(C), pages 88-101.

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