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Robustness of Optimal Investment Decisions in Mixed Insurance/Investment Cyber Risk Management

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  • Alessandro Mazzoccoli
  • Maurizio Naldi

Abstract

An integrated risk management strategy, combining insurance and security investments, where the latter contribute to reduce the insurance premium, is investigated to assess whether it can lead to reduced overall security expenses. The optimal investment for this mixed strategy is derived under three insurance policies, covering, respectively, all the losses (total coverage), just those below the limit of maximum liability (partial coverage), and those above a threshold but below the maximum liability (partial coverage with deductibles). Under certain conditions (e.g., low potential loss, or either very low or very high vulnerability), the mixed strategy reverts however to insurance alone, because investments do not provide an additional benefit. When the mixed strategy is the best choice, the dominant component in the overall security expenses is the insurance premium in most cases. Optimal investment decisions require an accurate estimate of the vulnerability, whereas larger estimation errors may be tolerated for the investment‐effectiveness coefficient.

Suggested Citation

  • Alessandro Mazzoccoli & Maurizio Naldi, 2020. "Robustness of Optimal Investment Decisions in Mixed Insurance/Investment Cyber Risk Management," Risk Analysis, John Wiley & Sons, vol. 40(3), pages 550-564, March.
    • Handle: RePEc:wly:riskan:v:40:y:2020:i:3:p:550-564
    DOI: 10.1111/risa.13416
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    References listed on IDEAS

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    1. Huang, C. Derrick & Behara, Ravi S., 2013. "Economics of information security investment in the case of concurrent heterogeneous attacks with budget constraints," International Journal of Production Economics, Elsevier, vol. 141(1), pages 255-268.
    2. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2018. "Co-residence based data vulnerability vs. security in cloud computing system with random server assignment," European Journal of Operational Research, Elsevier, vol. 267(2), pages 676-686.
    3. Maurizio Naldi & Marta Flamini & Giuseppe D’Acquisto, 2018. "Negligence and sanctions in information security investments in a cloud environment," Electronic Markets, Springer;IIM University of St. Gallen, vol. 28(1), pages 39-52, February.
    4. Jay Kesan & Rupterto Majuca & William Yurcik, "undated". "The Economic Case for Cyberinsurance," University of Illinois Legal Working Paper Series uiuclwps-1001, University of Illinois College of Law.
    5. Eling, Martin & Wirfs, Jan, 2019. "What are the actual costs of cyber risk events?," European Journal of Operational Research, Elsevier, vol. 272(3), pages 1109-1119.
    6. Grzegorz Strupczewski, 2018. "Current state of the cyber insurance market," Proceedings of Economics and Finance Conferences 6910062, International Institute of Social and Economic Sciences.
    7. Ouyang, Min, 2017. "A mathematical framework to optimize resilience of interdependent critical infrastructure systems under spatially localized attacks," European Journal of Operational Research, Elsevier, vol. 262(3), pages 1072-1084.
    8. Young, Derek & Lopez, Juan & Rice, Mason & Ramsey, Benjamin & McTasney, Robert, 2016. "A framework for incorporating insurance in critical infrastructure cyber risk strategies," International Journal of Critical Infrastructure Protection, Elsevier, vol. 14(C), pages 43-57.
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    Cited by:

    1. Mazaher Kianpour & Stewart J. Kowalski & Harald Øverby, 2021. "Systematically Understanding Cybersecurity Economics: A Survey," Sustainability, MDPI, vol. 13(24), pages 1-28, December.
    2. Loretta Mastroeni & Alessandro Mazzoccoli & Maurizio Naldi, 2022. "Pricing Cat Bonds for Cloud Service Failures," JRFM, MDPI, vol. 15(10), pages 1-18, October.
    3. Martin Eling & Michael McShane & Trung Nguyen, 2021. "Cyber risk management: History and future research directions," Risk Management and Insurance Review, American Risk and Insurance Association, vol. 24(1), pages 93-125, March.
    4. Alessandro Mazzoccoli & Maurizio Naldi, 2022. "An Overview of Security Breach Probability Models," Risks, MDPI, vol. 10(11), pages 1-29, November.
    5. Alessandro Mazzoccoli, 2023. "Optimal Cyber Security Investment in a Mixed Risk Management Framework: Examining the Role of Cyber Insurance and Expenditure Analysis," Risks, MDPI, vol. 11(9), pages 1-14, August.
    6. Gabriela Zeller & Matthias Scherer, 2023. "Risk mitigation services in cyber insurance: optimal contract design and price structure," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 48(2), pages 502-547, April.

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