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Pricing Cat Bonds for Cloud Service Failures

Author

Listed:
  • Loretta Mastroeni

    (Department of Economics, Roma Tre University, Via Silvio D’Amico 77, 00145 Rome, Italy
    These authors contributed equally to this work.)

  • Alessandro Mazzoccoli

    (Department of Economics, Roma Tre University, Via Silvio D’Amico 77, 00145 Rome, Italy
    These authors contributed equally to this work.)

  • Maurizio Naldi

    (Department of Law, Economics, LUMSA University, Politics and Modern Languages, Via Marcantonio Colonna 19, 00192 Rome, Italy
    These authors contributed equally to this work.)

Abstract

The use of the cloud to store personal/company data and to run programs is gaining wide acceptance as it is more efficient and cost-effective. However, cloud services may not always be available, which could lead to losses for customers and the cloud provider (the provider is typically obligated to compensate its customers). It can protect itself from such losses through insurance, which transfers the risk to the insurer. In the case of poor cloud availability, the amount that the insurer has to pay back to the cloud provider may become so high that it endangers the insurer’s financial solvency. We propose the use of cat bonds as reinsurance tools as well as the Nowak–Romaniuk pricing scheme. The outage frequency was described by the Poisson process and the loss severity was described by a Pareto random variable; we derived a closed formula for the price of a cat bond in a stochastic interest rate environment, using both one-factor and two-factor short-rate models. We demonstrated the applicability of our pricing formula in a real context.

Suggested Citation

  • Loretta Mastroeni & Alessandro Mazzoccoli & Maurizio Naldi, 2022. "Pricing Cat Bonds for Cloud Service Failures," JRFM, MDPI, vol. 15(10), pages 1-18, October.
    • Handle: RePEc:gam:jjrfmx:v:15:y:2022:i:10:p:463-:d:943543
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    References listed on IDEAS

    as
    1. Nowak, Piotr & Romaniuk, Maciej, 2013. "Pricing and simulations of catastrophe bonds," Insurance: Mathematics and Economics, Elsevier, vol. 52(1), pages 18-28.
    2. Carmona, Julio & Leon, Angel, 2007. "Investment option under CIR interest rates," Finance Research Letters, Elsevier, vol. 4(4), pages 242-253, December.
    3. 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.
    4. Wolfgang Karl Härdle & Brenda López Cabrera, 2010. "Calibrating CAT Bonds for Mexican Earthquakes," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 77(3), pages 625-650, September.
    5. Piotr Nowak & Maciej Romaniuk & Tatiana Ermolieva, 2012. "Evaluation of Portfolio of Financial and Insurance Instruments: Simulation of Uncertainty," Lecture Notes in Economics and Mathematical Systems, in: Yuri Ermoliev & Marek Makowski & Kurt Marti (ed.), Managing Safety of Heterogeneous Systems, edition 127, pages 351-366, Springer.
    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. Samuel Cox & Hal Pedersen, 2000. "Catastrophe Risk Bonds," North American Actuarial Journal, Taylor & Francis Journals, vol. 4(4), pages 56-82.
    8. Følstad, Eirik L. & Helvik, Bjarne E., 2016. "The cost for meeting SLA dependability requirements; implications for customers and providers," Reliability Engineering and System Safety, Elsevier, vol. 145(C), pages 136-146.
    9. 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.
    10. Vaugirard, Victor E., 2003. "Pricing catastrophe bonds by an arbitrage approach," The Quarterly Review of Economics and Finance, Elsevier, vol. 43(1), pages 119-132.
    11. Episcopos, Athanasios, 2000. "Further evidence on alternative continuous time models of the short-term interest rate," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 10(2), pages 199-212, June.
    12. 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.
    13. Wolfgang Karl Härdle & Brenda López Cabrera, 2010. "Calibrating CAT Bonds for Mexican Earthquakes," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 77(3), pages 625-650, September.
    14. 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.
    15. J. David Cummins, 2008. "CAT Bonds and Other Risk‐Linked Securities: State of the Market and Recent Developments," Risk Management and Insurance Review, American Risk and Insurance Association, vol. 11(1), pages 23-47, March.
    16. Ma, Zong-Gang & Ma, Chao-Qun, 2013. "Pricing catastrophe risk bonds: A mixed approximation method," Insurance: Mathematics and Economics, Elsevier, vol. 52(2), pages 243-254.
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