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Auto insurance fraud detection: Leveraging cost sensitive and insensitive algorithms for comprehensive analysis 汽车保险欺诈检测:利用成本敏感和不敏感算法进行综合分析
IF 1.9 2区 经济学
Insurance Mathematics & Economics Pub Date : 2025-05-01 Epub Date: 2025-02-09 DOI: 10.1016/j.insmatheco.2025.02.001
Meryem Yankol Schalck
{"title":"Auto insurance fraud detection: Leveraging cost sensitive and insensitive algorithms for comprehensive analysis","authors":"Meryem Yankol Schalck","doi":"10.1016/j.insmatheco.2025.02.001","DOIUrl":"10.1016/j.insmatheco.2025.02.001","url":null,"abstract":"<div><div>As technology and the economy continue to grow, fraud has a significant negative impact on business and society, and insurance fraud remains an important issue, posing challenges in both detection and prevention. This article provides a direct cost-sensitive learning approaches on enhancing traditional motor insurance fraud detection by leveraging real-world data sets. In this approach, the results are obtained by using the information available at the opening of the claim, FNOL. The data set (FNOL) contains numerical, categorical, and textual variables. The results show that machine learning techniques perform better statistically and can also be more effective than standard approaches in reducing fraud-related costs. Extreme Gradient Boosting (XGB) outperforms both cost-sensitive and cost-insensitive approaches based on performance measures. Our study indicates that a cost-sensitive strategy delivers greater financial benefits than a cost-insensitive approach.</div></div>","PeriodicalId":54974,"journal":{"name":"Insurance Mathematics & Economics","volume":"122 ","pages":"Pages 44-60"},"PeriodicalIF":1.9,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143419301","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Identifying scenarios for the own risk and Solvency assessment of insurance companies 确定保险公司自身风险和偿付能力评估的情景
IF 1.9 2区 经济学
Insurance Mathematics & Economics Pub Date : 2025-05-01 Epub Date: 2025-02-06 DOI: 10.1016/j.insmatheco.2025.01.009
Philipp Aigner
{"title":"Identifying scenarios for the own risk and Solvency assessment of insurance companies","authors":"Philipp Aigner","doi":"10.1016/j.insmatheco.2025.01.009","DOIUrl":"10.1016/j.insmatheco.2025.01.009","url":null,"abstract":"<div><div>Most insurers in the European Union determine their regulatory capital requirements based on the standard formula of Solvency II. However, there is evidence that the standard formula inaccurately reflects insurers' risk situation and may provide misleading steering incentives. In the second pillar, Solvency II requires insurers to perform a so-called “Own Risk and Solvency Assessment” (ORSA). In their ORSA, insurers must establish their own risk measurement approaches, including those based on scenarios, in order to derive suitable risk assessments and address shortcomings of the standard formula. The idea of this paper is to identify scenarios in such a way that the standard formula in connection with the ORSA provides a reliable basis for risk management decisions. Using an innovative method for scenario identification, our approach allows for a simple but precise assessment of marginal and even non-marginal portfolio changes. We numerically evaluate the proposed approach in the context of market risk employing an internal model from the academic literature and the Solvency Capital Requirement (SCR) calculation under Solvency II.</div></div>","PeriodicalId":54974,"journal":{"name":"Insurance Mathematics & Economics","volume":"122 ","pages":"Pages 30-43"},"PeriodicalIF":1.9,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143386423","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Insurance contract for electric vehicle charging stations: A Stackelberg game-theoretic approach 电动汽车充电站保险合同:一个Stackelberg博弈论方法
IF 1.9 2区 经济学
Insurance Mathematics & Economics Pub Date : 2025-05-01 Epub Date: 2025-02-17 DOI: 10.1016/j.insmatheco.2025.02.002
Yuanmin Jin , Zhuo Jin , Jiaqin Wei
{"title":"Insurance contract for electric vehicle charging stations: A Stackelberg game-theoretic approach","authors":"Yuanmin Jin ,&nbsp;Zhuo Jin ,&nbsp;Jiaqin Wei","doi":"10.1016/j.insmatheco.2025.02.002","DOIUrl":"10.1016/j.insmatheco.2025.02.002","url":null,"abstract":"<div><div>The development of electric vehicles has led to an expansion of Electric Vehicle Charging Stations (EVCSs). However, this expansion also brings about significant amount of risks, resulting in financial loss for EVCSs. To address this issue, this paper proposes an optimal insurance model based on a Stackelberg game between an insurer and a risk-averse EVCS operator. In the game, the insurer sets the insurance premium, and the EVCS operator decides on her charging price and ceded loss function. The paper explores the existence of the optimal solution of the game under the assumption of <em>n</em>-point distributed loss, and also characterizes the optimal solution if the loss follows two-point distribution. Finally, numerical examples are provided to demonstrate the effects of parameters on the optimal solution.</div></div>","PeriodicalId":54974,"journal":{"name":"Insurance Mathematics & Economics","volume":"122 ","pages":"Pages 61-81"},"PeriodicalIF":1.9,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143438179","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Mean-variance optimization for participating life insurance contracts 参与式寿险合同的均值方差优化
IF 1.9 2区 经济学
Insurance Mathematics & Economics Pub Date : 2025-05-01 Epub Date: 2025-03-17 DOI: 10.1016/j.insmatheco.2025.03.005
Felix Fießinger, Mitja Stadje
{"title":"Mean-variance optimization for participating life insurance contracts","authors":"Felix Fießinger,&nbsp;Mitja Stadje","doi":"10.1016/j.insmatheco.2025.03.005","DOIUrl":"10.1016/j.insmatheco.2025.03.005","url":null,"abstract":"<div><div>This paper studies the equity holders' mean-variance optimal portfolio choice problem for (non-)protected participating life insurance contracts. We derive explicit formulas for the optimal terminal wealth and the optimal strategy in the multi-dimensional Black-Scholes model, showing the existence of all necessary parameters. Moreover, we provide a numerical analysis of the Black-Scholes market. The equity holders on average increase their investment into the risky asset in bad economic states and decrease their investment over time.</div></div>","PeriodicalId":54974,"journal":{"name":"Insurance Mathematics & Economics","volume":"122 ","pages":"Pages 230-248"},"PeriodicalIF":1.9,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143704800","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Length of stay in residential aged care: Patterns and determinants from a population-based cohort study 老年护理住院时间:基于人群的队列研究的模式和决定因素
IF 1.9 2区 经济学
Insurance Mathematics & Economics Pub Date : 2025-05-01 Epub Date: 2025-03-24 DOI: 10.1016/j.insmatheco.2025.03.006
Mengyi Xu , Gaoyun Yan
{"title":"Length of stay in residential aged care: Patterns and determinants from a population-based cohort study","authors":"Mengyi Xu ,&nbsp;Gaoyun Yan","doi":"10.1016/j.insmatheco.2025.03.006","DOIUrl":"10.1016/j.insmatheco.2025.03.006","url":null,"abstract":"<div><div>The length of stay in permanent residential care is a crucial metric for evaluating the utilization of institutional care and informing sustainable aged care policies. Understanding this metric is especially relevant in Australia, where the decision on how to pay the substantial nursing home accommodation costs must be made shortly after admission and is heavily influenced by the expected duration of stay. We investigate the length of stay in long-term institutional care by analyzing a cohort of older Australians first admitted to permanent residential care in 2008. By employing survival analysis that captures time-varying covariates, we find that, in addition to demographic factors like age and gender, the organization type of nursing homes and their service size significantly influence the length of stay. Failing to account for potential changes due to transfers between nursing homes can lead to a significant underestimation of the impact of organization type and service size.</div></div>","PeriodicalId":54974,"journal":{"name":"Insurance Mathematics & Economics","volume":"122 ","pages":"Pages 214-229"},"PeriodicalIF":1.9,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143696672","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Almost stochastic dominance: Magnitude constraints on risk aversion 几乎随机优势:风险规避的大小约束
IF 1.9 2区 经济学
Insurance Mathematics & Economics Pub Date : 2025-05-01 Epub Date: 2025-02-19 DOI: 10.1016/j.insmatheco.2025.02.003
Liqun Liu , Jack Meyer
{"title":"Almost stochastic dominance: Magnitude constraints on risk aversion","authors":"Liqun Liu ,&nbsp;Jack Meyer","doi":"10.1016/j.insmatheco.2025.02.003","DOIUrl":"10.1016/j.insmatheco.2025.02.003","url":null,"abstract":"<div><div>Almost stochastic dominance (ASD) extends conventional first and second degree stochastic dominance by placing restrictions on the variability in the first and second derivatives of utility. Such restrictions increase the number of random variables for which a unanimous ranking of one over the other occurs. This paper advances an alternative approach to ASD in which the magnitude of absolute or relative risk aversion is constrained with both an upper bound and a lower bound. Using the results of Meyer (1977b), the paper provides cumulative distribution function (CDF) characterizations of these forms of ASD. Simple closed-form necessary and sufficient conditions for these ASD relations are determined for the special cases where the absolute or relative risk aversion is only bounded on one end or when the pair of random variables being compared have single-crossing CDFs. In addition, the relationship of the new ASD definitions to those in the literature is explored.</div></div>","PeriodicalId":54974,"journal":{"name":"Insurance Mathematics & Economics","volume":"122 ","pages":"Pages 82-90"},"PeriodicalIF":1.9,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143509102","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Robust indifference valuation of catastrophe bonds 巨灾债券的稳健无差异估值
IF 1.9 2区 经济学
Insurance Mathematics & Economics Pub Date : 2025-05-01 Epub Date: 2025-01-30 DOI: 10.1016/j.insmatheco.2025.01.008
Haibo Liu
{"title":"Robust indifference valuation of catastrophe bonds","authors":"Haibo Liu","doi":"10.1016/j.insmatheco.2025.01.008","DOIUrl":"10.1016/j.insmatheco.2025.01.008","url":null,"abstract":"<div><div>We study utility indifference pricing of a catastrophe (CAT) bond subject to CAT intensity and severity uncertainty for an uncertainty averse representative agent. Assuming the agent has an exponential utility function, we derive her robust ask and bid indifference prices of the CAT bond that are robust to adverse uncertain scenarios. We show that the agent's bid-ask spread increases with both her risk aversion and uncertainty aversion. Moreover, the CAT intensity and CAT severity distribution in the worst-case scenario depend on her trading position.</div></div>","PeriodicalId":54974,"journal":{"name":"Insurance Mathematics & Economics","volume":"122 ","pages":"Pages 1-10"},"PeriodicalIF":1.9,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143138042","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Self-protection under Nth-degree risk increase of random unit cost 随机单位成本n度风险增加下的自我保护
IF 1.9 2区 经济学
Insurance Mathematics & Economics Pub Date : 2025-05-01 Epub Date: 2025-02-28 DOI: 10.1016/j.insmatheco.2025.02.004
Yongjin Yin, Shengwang Meng
{"title":"Self-protection under Nth-degree risk increase of random unit cost","authors":"Yongjin Yin,&nbsp;Shengwang Meng","doi":"10.1016/j.insmatheco.2025.02.004","DOIUrl":"10.1016/j.insmatheco.2025.02.004","url":null,"abstract":"<div><div>Cost risk, as a type of multiplicative risk, should be given more attention in decision-making issues. Crainich and Menegatti (2021) have studied the effects of introducing random unit cost in self-protection under the four standard self-protection model frameworks. They focus on the case where the unit cost of effort in self-protection changes from certainty (<em>denoted as</em> <span><math><mi>c</mi></math></span>) to randomness (<em>denoted as</em> <span><math><mover><mi>c</mi><mo>˜</mo></mover></math></span>) with <span><math><mrow><mi>E</mi><mo>[</mo><mover><mi>c</mi><mo>˜</mo></mover><mo>]</mo><mo>=</mo><mi>c</mi></mrow></math></span>, which represents second-degree risk increase in Ekern (1980). In this paper, we generalize the concept of second-degree risk increase to <em>N</em>th-degree risk increase and provide sufficient conditions for increasing or decreasing effort in self-protection, which are closely related to the parity of the order of the risk change and decision-maker's higher-order risk attitudes. We use the multiplicative effect and apportionment effect to explain the decision-maker's preference conditions.</div></div>","PeriodicalId":54974,"journal":{"name":"Insurance Mathematics & Economics","volume":"122 ","pages":"Pages 137-142"},"PeriodicalIF":1.9,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143550226","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Efficient evaluation of risk allocations 风险分配的有效评估
IF 1.9 2区 经济学
Insurance Mathematics & Economics Pub Date : 2025-05-01 Epub Date: 2025-02-27 DOI: 10.1016/j.insmatheco.2025.02.006
Christopher Blier-Wong , Hélène Cossette , Etienne Marceau
{"title":"Efficient evaluation of risk allocations","authors":"Christopher Blier-Wong ,&nbsp;Hélène Cossette ,&nbsp;Etienne Marceau","doi":"10.1016/j.insmatheco.2025.02.006","DOIUrl":"10.1016/j.insmatheco.2025.02.006","url":null,"abstract":"<div><div>Expectations of marginals conditional on the total risk of a portfolio are crucial in risk-sharing and allocation. However, computing these conditional expectations may be challenging, especially in critical cases where the marginal risks have compound distributions or when the risks are dependent. We introduce a generating function method to compute these conditional expectations. We provide efficient algorithms to compute the conditional expectations of marginals given the total risk for a portfolio of risks with lattice-type support. We show that the ordinary generating function of unconditional expected allocations is a function of the multivariate probability generating function of the portfolio. The generating function method allows us to develop recursive and transform-based techniques to compute the unconditional expected allocations. We illustrate our method to large-scale risk-sharing and risk allocation problems, including cases where the marginal risks have compound distributions, where the portfolio is composed of dependent risks, and where the risks have heavy tails, leading in some cases to computational gains of several orders of magnitude. Our approach is useful for risk-sharing in peer-to-peer insurance and risk allocation based on Euler's rule.</div></div>","PeriodicalId":54974,"journal":{"name":"Insurance Mathematics & Economics","volume":"122 ","pages":"Pages 119-136"},"PeriodicalIF":1.9,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143550225","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A generalized tail mean-variance model for optimal capital allocation 最优资本配置的广义尾均值-方差模型
IF 1.9 2区 经济学
Insurance Mathematics & Economics Pub Date : 2025-05-01 Epub Date: 2025-03-07 DOI: 10.1016/j.insmatheco.2025.03.003
Yang Yang , Guojing Wang , Jing Yao , Hengyue Xie
{"title":"A generalized tail mean-variance model for optimal capital allocation","authors":"Yang Yang ,&nbsp;Guojing Wang ,&nbsp;Jing Yao ,&nbsp;Hengyue Xie","doi":"10.1016/j.insmatheco.2025.03.003","DOIUrl":"10.1016/j.insmatheco.2025.03.003","url":null,"abstract":"<div><div>Capital allocation is a core task in financial and actuarial risk management. Some well-known capital allocation principles, such as the “Euler principle” and the “haircut principle”, have been widely used in the banking and insurance industry. The partitions of allocated capital not only serve as a buffer against potential losses but also provide certain risk pricing and performance measurement to the underlying risks. <span><span>Dhaene et al. (2012)</span></span> proposed a unified distance-minimizing capital allocation framework. Their objective function in the optimization only considers the magnitude of the loss function but not the variability. In this paper, we propose a general tail mean-variance (GTMV) model, which employs the Bregman divergences to construct distance-minimizing functions, and takes both the magnitude and the variability into account. We prove the existence and uniqueness of the optimal allocation and provide the general system of equations that characterizes the optimal solution. In this context, we further introduce the Mahalanobis tail mean-variance (MTMV) model and provide explicit distribution-free optimal allocation formulas, which cover many existing results as special cases. In particular, we derive the parametric analytical solutions for multivariate generalized hyperbolic distributed risks. For multivariate log-generalized hyperbolic distributed non-negative risks, we use the convex approximation method to obtain explicit solutions. We present two numerical examples showing the good performance of our optimal capital allocation rules. The first one analyzes the market risk of S&amp;P 500 industry sector indices. We show that our optimal capital allocation framework is applicable to various scenario analyses and provides a performance measure for the indices and the financial market. The other example is based on insurance claims from an Australian insurance company, showing our approximate formulas are both robust and accurate.</div></div>","PeriodicalId":54974,"journal":{"name":"Insurance Mathematics & Economics","volume":"122 ","pages":"Pages 157-179"},"PeriodicalIF":1.9,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143577525","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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