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Risk mitigation services in cyber insurance: optimal contract design and price structure. 网络保险中的风险缓解服务:最佳合同设计和价格结构。
Pub Date : 2023-01-01 Epub Date: 2023-05-08 DOI: 10.1057/s41288-023-00289-7
Gabriela Zeller, Matthias Scherer

As the cyber insurance market is expanding and cyber insurance policies continue to mature, the potential of including pre-incident and post-incident services into cyber policies is being recognised by insurers and insurance buyers. This work addresses the question of how such services should be priced from the insurer's viewpoint, i.e. under which conditions it is rational for a profit-maximising, risk-neutral or risk-averse insurer to share the costs of providing risk mitigation services. The interaction between insurance buyer and seller is modelled as a Stackelberg game, where both parties use distortion risk measures to model their individual risk aversion. After linking the notions of pre-incident and post-incident services to the concepts of self-protection and self-insurance, we show that when pricing a single contract, the insurer would always shift the full cost of self-protection services to the insured; however, this does not generally hold for the pricing of self-insurance services or when taking a portfolio viewpoint. We illustrate the latter statement using toy examples of risks with dependence mechanisms representative in the cyber context.

Supplementary information: The online version contains supplementary material available at 10.1057/s41288-023-00289-7.

随着网络保险市场的扩张和网络保险政策的不断成熟,将事故前和事故后服务纳入网络保单的潜力正在得到保险公司和保险买家的认可。这项工作从保险公司的角度解决了如何对此类服务进行定价的问题,即在何种条件下,利润最大化、风险中性或规避风险的保险公司分担提供风险缓解服务的成本是合理的。保险买方和卖方之间的互动被建模为Stackelberg博弈,双方都使用扭曲风险度量来建模他们的个人风险厌恶。在将事故前和事故后服务的概念与自我保护和自我保险的概念联系起来之后,我们表明,在为单一合同定价时,保险人总是将自我保护服务的全部成本转移给被保险人;然而,这通常不适用于自保服务的定价或从投资组合的角度来看。我们使用在网络环境中具有代表性的依赖机制的风险玩具示例来说明后一种说法。补充信息:在线版本包含补充材料,可访问10.1057/s41288-023-00289-7。
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引用次数: 1
Can risk rating increase the ability of voluntary deductibles to reduce moral hazard? 风险评级能提高自愿免赔额降低道德风险的能力吗?
Pub Date : 2023-01-01 DOI: 10.1057/s41288-021-00253-3
M Antonini, R C van Kleef, J Henriquez, F Paolucci

Several regulated health insurance markets include the option for consumers to choose a voluntary deductible. An important motive for this option is to reduce moral hazard. In return for a voluntary deductible, consumers receive a premium rebate, which is typically community rated. Under community rating, voluntary deductibles are particularly attractive for low-risk consumers. Since these people use relatively little medical care, the total moral hazard reduction might be relatively small compared to the total healthcare spending. This paper examines the potential moral hazard reduction under risk-rated premiums. We use Chile as a case study due to institutional features that make it a valid benchmark for other countries. Our simulations show that in the presence of self-selection and under a uniform percentage moral hazard reduction across risk types, the absolute moral hazard reduction from a voluntary deductible is indeed expected to be larger in a system with risk-rated premiums than in a system with community-rated premiums. Nevertheless, sensitivity checks show that this conclusion might no longer hold as the percentage moral hazard reduction is lower for high-risk individuals compared to low-risk individuals.

一些受监管的健康保险市场包括消费者选择自愿免赔额的选项。这一选择的一个重要动机是减少道德风险。作为自愿免赔额的回报,消费者会获得保费回扣,这通常是社区评级的。根据社区评级,自愿免赔额对低风险消费者特别有吸引力。由于这些人使用相对较少的医疗保健,总的道德风险减少可能相对于总的医疗保健支出相对较小。本文考察了风险等级溢价下潜在的道德风险降低。我们将智利作为案例研究,因为它的制度特点使其成为其他国家的有效基准。我们的模拟表明,在存在自我选择的情况下,在所有风险类型的道德风险降低的统一百分比下,在风险评级保费的系统中,自愿免赔额的绝对道德风险降低确实比在社区评级保费的系统中更大。然而,敏感性检查表明,这一结论可能不再成立,因为与低风险个体相比,高风险个体的道德风险降低百分比更低。
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引用次数: 1
Correction to: Does private health insurance prevent the onset of critical illness and disability in a universal public insurance system? 修正:私人医疗保险是否在普遍的公共保险体系中预防重大疾病和残疾的发生?
Pub Date : 2023-01-01 DOI: 10.1057/s41288-021-00255-1
Daehwan Kim, Dong-hwa Lee
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引用次数: 0
Coordination of cybersecurity risk management in the U.K. insurance sector. 英国保险业网络安全风险管理的协调。
Pub Date : 2023-01-01 DOI: 10.1057/s41288-023-00287-9
Paul Klumpes

The increasing threat of cyberattacks has resulted in increased efforts by both the U.K. government and regulatory authorities to coordinate efforts to influence cybersecurity risk management practices in the U.K. insurance sector, focusing on cyber risk underwriters. This paper provides an evaluation of these arrangements. It first provides a descriptive overview of the key U.K. regulatory authorities and the evolution of their efforts over the past decade, as well as the scope for broader collaborations with industry and member-based associations and international organisations. It then evaluates the effectiveness of these efforts by providing a multi-method study of the incidence, nature and evolution of cost of data breaches, investment in computer systems and software intangible assets at risk of cyberattack, and a content analysis of annual reports of both U.K. regulators and a sample of U.K. insurers. The findings suggest that while both the total costs of data breaches and the size of investment in computer systems and software intangibles at risk of cyberattack have gradually increased over time, the degree of engagement with cyber as a reporting issue by both cyber insurers and financial regulators has not. It is concluded that while these efforts have been apparently successful in avoiding a large-scale, systemic cyberattack on the U.K. insurance industry, there are significant gaps and overlaps in the system of cyber regulatory oversight.

网络攻击的威胁日益增加,导致英国政府和监管机构加大了协调努力,以影响英国保险业的网络安全风险管理实践,重点是网络风险承销商。本文对这些安排进行了评价。它首先提供了英国主要监管机构的描述性概述,以及他们在过去十年中努力的演变,以及与行业、会员协会和国际组织更广泛合作的范围。然后,通过对数据泄露的发生率、性质和成本演变、面临网络攻击风险的计算机系统和软件无形资产投资的多方法研究,以及对英国监管机构和英国保险公司样本的年度报告进行内容分析,评估这些努力的有效性。调查结果表明,尽管随着时间的推移,数据泄露的总成本以及面临网络攻击风险的计算机系统和软件无形资产的投资规模都在逐渐增加,但网络保险公司和金融监管机构将网络作为一个报告问题的参与程度却没有增加。结论是,尽管这些努力显然成功地避免了对英国保险业的大规模系统性网络攻击,但网络监管体系中存在重大漏洞和重叠。
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引用次数: 1
Modelling maximum cyber incident losses of German organisations: an empirical study and modified extreme value distribution approach. 德国组织最大网络事件损失建模:一项实证研究和修正的极值分布方法。
Pub Date : 2023-01-01 Epub Date: 2023-04-13 DOI: 10.1057/s41288-023-00293-x
Bennet von Skarczinski, Mathias Raschke, Frank Teuteberg

Cyber incidents are among the most critical business risks for organisations and can lead to large financial losses. However, previous research on loss modelling is based on unassured data sources because the representativeness and completeness of op-risk databases cannot be assured. Moreover, there is a lack of modelling approaches that focus on the tail behaviour and adequately account for extreme losses. In this paper, we introduce a novel 'tempered' generalised extreme value (GEV) approach. Based on a stratified random sample of 5000 interviewed German organisations, we model different loss distributions and compare them to our empirical data using graphical analysis and goodness-of-fit tests. We differentiate various subsamples (industry, size, attack type, loss type) and find our modified GEV outperforms other distributions, such as the lognormal and Weibull distributions. Finally, we calculate losses for the German economy, present application examples, derive implications as well as discuss the comparison of loss estimates in the literature.

网络事件是组织最关键的商业风险之一,可能导致巨大的财务损失。然而,以前关于损失建模的研究是基于未经保证的数据源,因为无法保证运营风险数据库的代表性和完整性。此外,缺乏关注尾部行为并充分考虑极端损失的建模方法。在本文中,我们介绍了一种新的“调和”广义极值(GEV)方法。基于5000家受访德国组织的分层随机样本,我们对不同的损失分布进行了建模,并使用图形分析和拟合优度检验将其与我们的经验数据进行了比较。我们区分了各种子样本(行业、规模、攻击类型、损失类型),发现我们修改的GEV优于其他分布,如对数正态分布和威布尔分布。最后,我们计算了德国经济的损失,给出了应用实例,得出了启示,并讨论了文献中损失估计的比较。
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引用次数: 0
On insurance and health risks 关于保险和健康风险
Pub Date : 2022-12-21 DOI: 10.1057/s41288-022-00279-1
L. Connelly, C. Courbage
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引用次数: 0
Modelling and predicting enterprise-level cyber risks in the context of sparse data availability 稀疏数据可用性背景下的企业级网络风险建模和预测
Pub Date : 2022-12-10 DOI: 10.1057/s41288-022-00282-6
Daniel Zängerle, D. Schiereck
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引用次数: 4
Insurance and enterprise: cyber insurance for ransomware 保险与企业:针对勒索软件的网络保险
Pub Date : 2022-12-04 DOI: 10.1057/s41288-022-00281-7
T. Baker, A. Shortland
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引用次数: 3
How default effects and decision timing affect annuity uptake and health consciousness 默认效应和决策时机如何影响年金吸收和健康意识
Pub Date : 2022-11-19 DOI: 10.1057/s41288-022-00280-8
F. Unger, M. Steul-Fischer, Nadine Gatzert
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引用次数: 0
Institutional determinants of insurance penetration in Africa. 非洲保险渗透率的制度决定因素。
Pub Date : 2022-10-16 DOI: 10.1057/s41288-022-00278-2
Mamadou Bah, Nelson Abila

This paper investigates the institutional determinants of insurance demand in Africa. We used a panel of 42 countries over the period 1996-2017. A system GMM approach was used for the estimations. Consistent with previous results, we find that institutional quality has positive and significant effects on insurance penetration in Africa. Specifically, regulatory quality, rule of law, control of corruption, political stability and absence of violence, and government effectiveness are the five institutional quality indicators that have positive and significant effects on the demand for total insurance and life insurance. However, only regulatory quality, control of corruption and government effectiveness are positively associated with non-life insurance demand. This indicates that governments should improve the business environment and strengthen the political environment to boost insurance development in Africa.

Supplementary information: The online version contains supplementary material available at 10.1057/s41288-022-00278-2.

本文研究了非洲保险需求的制度决定因素。我们使用了 1996-2017 年间 42 个国家的面板数据。采用系统 GMM 方法进行了估计。与之前的结果一致,我们发现制度质量对非洲的保险渗透率有积极而显著的影响。具体而言,监管质量、法治、腐败控制、政治稳定和无暴力以及政府效率这五个制度质量指标对总保险和人寿保险的需求有积极和显著的影响。然而,只有监管质量、腐败控制和政府效率与非寿险需求呈正相关。这表明,政府应改善商业环境并加强政治环境,以促进非洲保险业的发展:在线版本包含补充材料,可查阅 10.1057/s41288-022-00278-2。
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The Geneva papers on risk and insurance. Issues and practice
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