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Optimal Reinsurance for Cyber Risk Transfer

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초록

In this paper, we develop a dynamic model of optimal reinsurance and asset allocation for an insurer who aims to minimize the ruin probability of facing cyber disasters. We find a vital discontinuity and significant change in the insurer’s optimal choices with cyber risk compared to the case without cyber risk. Whether or not the frequency of cyber disasters is estimated correctly does not matter for the insurer’s optimal policies. Instead, considering the presence of cyber risk resulting in the insurer defaulting in an extreme cyber disaster scenario is of utmost importance to the insurer’s cyber risk management. Analytical comparative statics and numerical experiments are provided to discuss various properties of the insurer’s optimal strategies.

Abstract

In this paper, we develop a dynamic model of optimal reinsurance and asset allocation for an insurer who aims to minimize the ruin probability of facing cyber disasters. We find a vital discontinuity and significant change in the insurer’s optimal choices with cyber risk compared to the case without cyber risk. Whether or not the frequency of cyber disasters is estimated correctly does not matter for the insurer’s optimal policies. Instead, considering the presence of cyber risk resulting in the insurer defaulting in an extreme cyber disaster scenario is of utmost importance to the insurer’s cyber risk management. Analytical comparative statics and numerical experiments are provided to discuss various properties of the insurer’s optimal strategies.

참고문헌 (26)

  1. Awiszus, K., "Modeling and Pricing Cyber Insurance : Idiosyncratic, Systemic, and Systemic Risks", European Actuarial Journal, 13, pp.1~53 (2023)[DOI]
  2. "AXA Future Risks Report 2022"[URL]
  3. Bensoussan, A., "Unemployment Risks and Optimal Retirement in an Incomplete Market", Operations Research, 64(4), pp.1015~1032 (2016)[DOI]
  4. Cao, Y., "Optimal Proportional Reinsurance and Investment Based on Hamilton-Jacobi-Bellman Equation", Insurance : Mathematics and Economics, 45(2), pp.157~162 (2009)[DOI]
  5. Chen, Z., "Robust Optimal Reinsurance-Investment Strategy with Price Jumps and Correlated Claims", Insurance:Mathematics and Economics, 92, pp.27~46 (2020)[DOI]
  6. Dickson, D. C. M., "On the Distribution of Surplus Prior to Ruin", Insurance: Mathematics and Economics, 11(3), pp.191~207 (1962)[DOI]
  7. Duffie, D., "Stochastic Differential Utility", Econometrica, 60(2), pp.353~394 (1992)[DOI]
  8. Eisenbach, T. M., "Cyber Risk and the US Financial System : A Pre-Mortem Analysis", Journal of Financial Economics, (909), pp.802~826 (2022)[DOI]
  9. Eling, M., "What Are the Actual Costs of Cyber Risk Events?", European Journal of Operational Research, 272(3), pp.1109~1119 (2019)[DOI]
  10. Eling, M., "Heterogeneity in Cyber Loss Severity and Its Impact on Cyber Risk Measurement", Risk Management-An International Journal, 24, pp.273~297[DOI]
  11. Eling, M., "Unraveling Heterogeneity in Cyber Risks Using Quantile Regressions", Insurance : Mathematics and Economics, 104, pp.222~242 (2022)[DOI]
  12. Epstein, L. G., "Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns : A Theoretical Framework", Econometrica, 57(4), pp.937~969 (1989)[DOI]
  13. Gerber, H. U., "On the Time Value of Ruin", North American Actuarial Journal, 2(1), pp.48~72 (1998)[DOI]
  14. Iglehart, D. L., "Diffusion Approximations in Collective Risk Theory", Journal of Applied Probability, 6(2), pp.285~292 (1969)[DOI]
  15. Jang, B. G., "Optimal Reinsurance and Asset Allocation under Regime Switching", Journal of Banking and Finance, 56, pp.37~47 (2015)[DOI]
  16. Jang, B. G., "Optimal Reinsurance and Portfolio Selection : Comparison between Partial and Complete Information Models", European Financial Management, 28, pp.208~232 (2021)[DOI]
  17. Jung, K., "Extreme Data Breach Losses : An Alternative Approach to Estimating Probable Maximum Loss for Data Breach Risk", North American Actuarial Journal, 25(4), pp.580~603 (2021)[DOI]
  18. Liang, Z., "Optimal Proportional Reinsurance and Investment in a Stock Market with Ornstein-Uhlenbeck Process", Insurance : Mathematics and Economics, 49(2), pp.207~215 (2011)[DOI]
  19. Merton, R. C., "Lifetime Portfolio Selection under Uncertainty : The Continuous-Time Case", The Review of Economics and Statistics, 51(3), pp.247~257 (1969)[DOI]
  20. Merton, R. C., "Optimal Consumption and Portfolio Rules in a Continuous-Time Model", Journal of Economic Theory, 3(4), pp.373~413 (1971)[DOI]
  21. Park, S., "Climate Risk and Optimal Reinsurance : A Theoretical Analysis", Journal of Risk Management, 35(3), pp.65~93 (2024)[DOI]
  22. Prabhu, N. U., "On the Ruin Problem of Collective Risk Theory", Annals of Mathematical Statistics, 32(3), pp.757~764 (1961)[DOI]
  23. Promislow, D. S., "Minimizing the Probability of Ruin When Claims Follow Brownian Motion with Drift", North American Actuarial Journal, 9(3), pp.109~128 (2005)[DOI]
  24. Weil, P., "Non-Expected Utility in Macroeconomics", The Quarterly Journal of Economics, 105(1), pp.29~42 (1990)[DOI]
  25. Zhang, X., "On Optimal Proportional Reinsurance and Investment in a Markovian Regime-Switching Economy", Acta Mathematica Sinica, 28, pp.67~82 (2012)[DOI]
  26. Zhang, X. L., "Optimal Proportional Reinsurance and Investment with Transaction Costs : Maximizing the Terminal Wealth", Insurance : Mathematics and Economics, 44(3), pp.473~478 (2009)[DOI]

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