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Optimal Cyber Security Investment in a Mixed Risk Management Framework: Examining the Role of Cyber Insurance and Expenditure Analysis

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  • Alessandro Mazzoccoli

    (Department of Economics, Roma Tre University, Via Silvio D’Amico 77, 00146 Rome, Italy)

Abstract

Cyber security importance has escalated globally, driven by its pivotal role in shaping daily life, encompassing both personal and non-personal aspects. Cyber security breach probability functions play a crucial role in comprehending how cyber security investments affect vulnerability to cyber attacks. These functions employ mathematical models to guide decision making in cyber risk management. Thus, studying and improving them is useful in this context. In particular, using these models, this article explores the effectiveness of an integrated risk management strategy that merges insurance and security investments, aiming to minimize overall security expenses. Within this strategy, security investments contribute to reducing the insurance premium. This research investigates the optimal investment for this blended approach under total insurance coverage. When the integrated risk management strategy combining insurance and security investments is deemed the optimal choice, this paper reveals that the insurance premium tends to be the dominant component in the overall security expense in the majority of cases. This implies that the cost of insurance outweighs the cost of security investments.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jrisks:v:11:y:2023:i:9:p:154-:d:1225495
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    References listed on IDEAS

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    1. Bojanc, Rok & Jerman-Blažič, Borka, 2008. "An economic modelling approach to information security risk management," International Journal of Information Management, Elsevier, vol. 28(5), pages 413-422.
    2. Luca Allodi & Fabio Massacci, 2017. "Security Events and Vulnerability Data for Cybersecurity Risk Estimation," Risk Analysis, John Wiley & Sons, vol. 37(8), pages 1606-1627, August.
    3. Anat Hovav & John D'Arcy, 2003. "The Impact of Denial‐of‐Service Attack Announcements on the Market Value of Firms," Risk Management and Insurance Review, American Risk and Insurance Association, vol. 6(2), pages 97-121, September.
    4. Hamed Taherdoost, 2022. "Understanding Cybersecurity Frameworks and Information Security Standards—A Review and Comprehensive Overview," Post-Print hal-03741854, HAL.
    5. 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.
    6. 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.
    7. Mayadunne, Sanjaya & Park, Sungjune, 2016. "An economic model to evaluate information security investment of risk-taking small and medium enterprises," International Journal of Production Economics, Elsevier, vol. 182(C), pages 519-530.
    8. Sampath Kumar Venkatachary & Jagdish Prasad & Ravi Samikannu, 2017. "Economic Impacts of Cyber Security in Energy Sector: A Review," International Journal of Energy Economics and Policy, Econjournals, vol. 7(5), pages 250-262.
    9. Arunabha Mukhopadhyay & Samir Chatterjee & Kallol K. Bagchi & Peteer J. Kirs & Girja K. Shukla, 2019. "Cyber Risk Assessment and Mitigation (CRAM) Framework Using Logit and Probit Models for Cyber Insurance," Information Systems Frontiers, Springer, vol. 21(5), pages 997-1018, October.
    10. Rokhaya Dieye & Ahmed Bounfour & Altay Özaygen & Niaz Kammoun, 2020. "Estimates of the macroeconomic costs of cyber‐attacks," Post-Print hal-03825283, HAL.
    11. Loretta Mastroeni & Alessandro Mazzoccoli & Maurizio Naldi, 2019. "Service Level Agreement Violations in Cloud Storage: Insurance and Compensation Sustainability," Future Internet, MDPI, vol. 11(7), pages 1-26, June.
    12. 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.
    13. Rokhaya Dieye & Ahmed Bounfour & Altay Ozaygen & Niaz Kammoun, 2020. "Estimates of the macroeconomic costs of cyber‐attacks," Risk Management and Insurance Review, American Risk and Insurance Association, vol. 23(2), pages 183-208, June.
    14. M.‐Elisabeth Paté‐Cornell & Marshall Kuypers & Matthew Smith & Philip Keller, 2018. "Cyber Risk Management for Critical Infrastructure: A Risk Analysis Model and Three Case Studies," Risk Analysis, John Wiley & Sons, vol. 38(2), pages 226-241, February.
    15. Natalie M. Scala & Allison C. Reilly & Paul L. Goethals & Michel Cukier, 2019. "Risk and the Five Hard Problems of Cybersecurity," Risk Analysis, John Wiley & Sons, vol. 39(10), pages 2119-2126, October.
    16. Hamed Taherdoost, 2022. "Understanding Cybersecurity Frameworks and Information Security Standards—A Review and Comprehensive Overview," Post-Print hal-03741855, HAL.
    17. Spencer Wheatley & Thomas Maillart & Didier Sornette, 2016. "The extreme risk of personal data breaches and the erosion of privacy," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 89(1), pages 1-12, January.
    18. T. Maillart & D. Sornette, 2010. "Heavy-tailed distribution of cyber-risks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 75(3), pages 357-364, June.
    19. Wang, Shaun S., 2019. "Integrated framework for information security investment and cyber insurance," Pacific-Basin Finance Journal, Elsevier, vol. 57(C).
    20. Alessandro Mazzoccoli & Maurizio Naldi, 2022. "An Overview of Security Breach Probability Models," Risks, MDPI, vol. 10(11), pages 1-29, November.
    21. Alessandro Mazzoccoli & Maurizio Naldi, 2021. "Optimal Investment in Cyber-Security under Cyber Insurance for a Multi-Branch Firm," Risks, MDPI, vol. 9(1), pages 1-28, January.
    22. Spencer Wheatley & Thomas Maillart & Didier Sornette, 2016. "The extreme risk of personal data breaches and the erosion of privacy," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 89(1), pages 1-12, January.
    23. Lu Xu & Yanhui Li & Jing Fu, 2019. "Cybersecurity Investment Allocation for a Multi-Branch Firm: Modeling and Optimization," Mathematics, MDPI, vol. 7(7), pages 1-20, July.
    24. Kjell Hausken, 2006. "Returns to information security investment: The effect of alternative information security breach functions on optimal investment and sensitivity to vulnerability," Information Systems Frontiers, Springer, vol. 8(5), pages 338-349, December.
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