{"title":"Mortality risks, survival pessimism, and subjective well-Being: Evidence from the health and retirement study","authors":"Lisa Posey , Sharon Tennyson , Nan Zhu","doi":"10.1016/j.insmatheco.2025.103204","DOIUrl":"10.1016/j.insmatheco.2025.103204","url":null,"abstract":"<div><div>The positive relationship between an individual’s subjective well-being (SWB) and their future survival prospects has been well documented. Using data from the Health and Retirement Study (HRS), we present empirical evidence of how this relationship operates through various channels. We use a two-stage approach where objective survival probability estimates derived from our first-stage Cox model are used to construct the survival bias employed as the dependent variable in the second stage, with SWB and other demographic and health-related variables being covariates in both stages. Our findings reveal that even after controlling for objective health-related factors and potential private information on health and mortality, individuals’ SWB remains as a significant factor to their objective mortality. Moreover, respondents’ SWB also affects the bias in the survival estimation—measured as the disparity between their subjective and objective survival probabilities. In particular, a higher SWB is correlated with a reduction in survival pessimism. We provide new evidence that bias in survival estimates can distort consumption and saving decisions, and provide estimates of its impact on welfare across different levels of SWB.</div></div>","PeriodicalId":54974,"journal":{"name":"Insurance Mathematics & Economics","volume":"127 ","pages":"Article 103204"},"PeriodicalIF":2.2,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145886219","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}
Eric C.K. Cheung , Guo Liu , Jae-Kyung Woo , Jiannan Zhang , Dan Zhu
{"title":"Optimal periodic strategies with dividends payable from gains only","authors":"Eric C.K. Cheung , Guo Liu , Jae-Kyung Woo , Jiannan Zhang , Dan Zhu","doi":"10.1016/j.insmatheco.2025.103203","DOIUrl":"10.1016/j.insmatheco.2025.103203","url":null,"abstract":"<div><div>In this paper, we consider the compound Poisson insurance risk model and analyze the optimal dividend strategy (that maximizes the expected present value of dividend payments until ruin) when dividends can only be paid periodically as lump sums. If one makes the usual assumption that dividends can be paid from the available surplus, then the optimal strategies are often of band or barrier type, resulting in a ruin probability of one (e.g. Albrecher et al. (2011a)). As opposed to such an assumption, we propose that dividends can only be paid from a certain fraction of the gains (i.e. positive increment of the process between successive dividend decision times), and such a constraint allows the surplus process to have a positive survival probability. Some theoretical properties of the value function and the optimal strategy are derived in connection to the Bellman equation. These properties suggest that a bang-bang type of control can be a candidate for the optimal strategy, where dividend is paid at the highest possible amount as long as the surplus is high enough. The dividend function under the candidate strategy is subsequently derived under exponential inter-observation times and claims with a rational Laplace transform, and we also provide specific numerical examples with (mixed) exponential claims where the proposed strategy is optimal in such cases.</div></div>","PeriodicalId":54974,"journal":{"name":"Insurance Mathematics & Economics","volume":"127 ","pages":"Article 103203"},"PeriodicalIF":2.2,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145886220","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}
{"title":"Mitigating ambiguity in earthquake catastrophe insurance pricing: A model averaging and α-Maxmin approach","authors":"Yunxian Li , Xinmei Yang , Zhilan Zi , Hefei Liu","doi":"10.1016/j.insmatheco.2026.103222","DOIUrl":"10.1016/j.insmatheco.2026.103222","url":null,"abstract":"<div><div>Ambiguity poses a key challenge in the pricing of catastrophe insurance, as it leads to higher premiums compared to unambiguous risks. This paper proposes a novel approach that integrates model averaging (MA) techniques with an extended <em>α</em>-maxmin framework to address ambiguity in insurance pricing decisions. Specifically, we introduce three MA weighting strategies within a quantile regression setting to mitigate estimation uncertainty and extend the <em>α</em>-maxmin framework to formally incorporate both the insurer’s ambiguity aversion and survival constraints into the pricing process. Using earthquake loss data from China (1974-2023), we show that MA improves predictive accuracy and mitigates affordability issues by reducing ambiguity-induced premium inflation, with jackknife model averaging lowering net premiums by 15.69%. Sensitivity analyzes indicate that stronger ambiguity aversion (higher <em>α</em>), tighter survival constraints (lower <em>θ</em>), and a higher cost of capital (higher <em>δ</em>) all necessitate larger capital reserves to counter bankruptcy risk, thereby raising premiums, with the first two factors exerting a more pronounced influence. The paper offers a coherent toolkit for integrating model uncertainty into catastrophe insurance pricing with practical relevance for risk management and regulation.</div></div>","PeriodicalId":54974,"journal":{"name":"Insurance Mathematics & Economics","volume":"127 ","pages":"Article 103222"},"PeriodicalIF":2.2,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146023343","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}
{"title":"Subgame perfect Nash equilibria in large reinsurance markets","authors":"Maria Andraos , Mario Ghossoub , Michael B. Zhu","doi":"10.1016/j.insmatheco.2025.103210","DOIUrl":"10.1016/j.insmatheco.2025.103210","url":null,"abstract":"<div><div>We consider a model of a reinsurance market consisting of multiple insurers on the demand side and multiple reinsurers on the supply side, thereby providing a unifying framework and extension of the recent literature on optimality and equilibria in reinsurance markets. Each insurer has preferences represented by a general Choquet risk measure and can purchase coverage from any or all reinsurers. Each reinsurer has preferences represented by a general Choquet risk measure and can provide coverage to any or all insurers. Pricing in this market is done via a nonlinear pricing rule given by a Choquet integral. We model the market as a sequential game in which the reinsurers have the first-move advantage. We characterize the Subgame Perfect Nash Equilibria in this market in some cases of interest, and we examine their Pareto efficiency. In addition, we consider two special cases of our model that correspond to existing models in the related literature, and we show how our findings extend these previous results. Finally, we illustrate our results in a numerical example.</div></div>","PeriodicalId":54974,"journal":{"name":"Insurance Mathematics & Economics","volume":"127 ","pages":"Article 103210"},"PeriodicalIF":2.2,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145928593","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}
Ludovic Goudenège , Andrea Molent , Antonino Zanette
{"title":"Robust pricing of equity-Indexed annuities under uncertain volatility and stochastic interest rate","authors":"Ludovic Goudenège , Andrea Molent , Antonino Zanette","doi":"10.1016/j.insmatheco.2026.103229","DOIUrl":"10.1016/j.insmatheco.2026.103229","url":null,"abstract":"<div><div>In this paper, we propose a novel methodology for pricing equity-indexed annuities featuring cliquet-style payoff structures and early surrender risk, using advanced financial modeling techniques. Specifically, the market is modeled by an equity index that follows an uncertain volatility framework, while the dynamics of the interest rate are captured by the Hull-White model. Due to the inherent complexity of the market dynamics under consideration, we develop a numerical algorithm that employs a tree-based framework to discretize both the interest rate and the underlying equity index, enhanced with local volatility optimization. Extensive numerical experiments demonstrate the high effectiveness of the proposed algorithm, which has been tested against a machine learning-based approach and yields consistent results with substantially lower computational cost. Furthermore, the numerical framework is employed to analyze key features of the insurance contract, including the delineation of the optimal exercise region when early surrender risk is incorporated.</div></div>","PeriodicalId":54974,"journal":{"name":"Insurance Mathematics & Economics","volume":"127 ","pages":"Article 103229"},"PeriodicalIF":2.2,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146173652","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}
{"title":"Asymptotically unbiased estimation of the extreme value index under random censoring","authors":"Martin Bladt , Yuri Goegebeur , Armelle Guillou","doi":"10.1016/j.insmatheco.2026.103225","DOIUrl":"10.1016/j.insmatheco.2026.103225","url":null,"abstract":"<div><div>We consider bias-corrected estimation of the extreme value index of Pareto-type loss distributions in the censoring framework. The initial estimator is based on a Kaplan–Meier integral from which we remove the bias under a second-order framework. This estimator depends on a suitable external estimation of second-order parameters, which is also discussed. The weak convergence of the bias-corrected estimator is established. It has the nice property of having the same asymptotic variance as the initial estimator. This feature is illustrated in a simulation study where our estimator is compared to alternatives already introduced in the literature. Finally, our methodology is applied to a French non-life insurance dataset.</div></div>","PeriodicalId":54974,"journal":{"name":"Insurance Mathematics & Economics","volume":"127 ","pages":"Article 103225"},"PeriodicalIF":2.2,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146173653","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}
{"title":"Hedging universal life insurance policies","authors":"Emmanuel Hamel , Frédéric Godin , Patrice Gaillardetz","doi":"10.1016/j.insmatheco.2026.103221","DOIUrl":"10.1016/j.insmatheco.2026.103221","url":null,"abstract":"<div><div>This study explores hedging procedures for Universal Life (UL) insurance contracts. Risk related to guarantees embedded in UL policies are typically managed through conventional means by insurers, such as reserving, capital buffers, and the use of natural hedges. We outline that hedging can be a useful risk management tool to mitigate risk associated with UL policies. We explore two hedging approaches: a static hedging procedure based on a portfolio of zero-coupons bonds and a dynamic hedging approach relying on the sequential rebalancing of liquid swap portfolios. Both strategies are shown to successfully reduce loss variability, even when relying on a low number of hedging instruments. In our setting, the dynamic approach provides the best performance.</div></div>","PeriodicalId":54974,"journal":{"name":"Insurance Mathematics & Economics","volume":"127 ","pages":"Article 103221"},"PeriodicalIF":2.2,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145979457","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}
{"title":"A one-step approach for determining the optimal aggregate capital reserve and allocation","authors":"Jun Cai , Huameng Jia , Ying Wang","doi":"10.1016/j.insmatheco.2025.103183","DOIUrl":"10.1016/j.insmatheco.2025.103183","url":null,"abstract":"<div><div>In this paper, we introduce a new method for determining the optimal aggregate capital reserve and the corresponding optimal allocation through a one-step approach, allowing for the simultaneous consideration of aggregate and individual risks. In our one-step approach, both the aggregate capital and the allocation scheme are optimized to minimize an expected loss or cost function that accounts for these risks. Our findings provide insights into decision-makers’ attitudes toward commonly used capital requirement criteria and allocation principles, including VaR and CTE capital criteria, as well as VaR-based and CTE-based haircut allocation principles, and the CTE additive allocation principle. We also offer quantitative arguments explaining why the aggregate capital requirement and the corresponding allocation are optimal and specify the conditions under which they achieve optimality. Notably, our one-step optimal capital criteria can yield required reserves that meet the safety and budget requirements discussed in. Additionally, we provide numerical examples to illustrate our new approaches and compare them with standard methods commonly used in practice.</div></div>","PeriodicalId":54974,"journal":{"name":"Insurance Mathematics & Economics","volume":"126 ","pages":"Article 103183"},"PeriodicalIF":2.2,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145737415","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}
{"title":"Welfare-enhancing annuity divisor for notional defined contribution design","authors":"Jinggong Zhang , Xiaobai Zhu , Wei Wei","doi":"10.1016/j.insmatheco.2025.103191","DOIUrl":"10.1016/j.insmatheco.2025.103191","url":null,"abstract":"<div><div>In this study, we investigate the optimal annuity divisor for a Notional Defined Contribution (NDC) pension scheme. Our analysis reveals that both the constant and actuarially fair annuity divisors, commonly used in practice, disproportionately benefit high-income individuals, resulting in an unintended wealth transfer from low-income to high-income groups. To address this issue, we employ an optimization framework based on a weighted social welfare function and derive the optimal annuity divisor using optimal control techniques. We present the explicit solution when the income distribution follows either Pareto or Pareto-lognormal and when the S-Gini function is adopted in prioritizing different income classes. Our findings suggest that excluding the low-income class from the NDC plan, as practiced in China, renders the NDC plan unnecessary unless the society is nearly inequality-neutral. By calibrating our model with Chinese data, we propose a progressive annuity divisor formula that adjusts for income inequality and mortality differentials, demonstrating its potential to enhance social welfare and achieve a more equitable pension system.</div></div>","PeriodicalId":54974,"journal":{"name":"Insurance Mathematics & Economics","volume":"126 ","pages":"Article 103191"},"PeriodicalIF":2.2,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145684631","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}
{"title":"Asymptotics of systemic risk in a renewal model with multiple business lines and heterogeneous claims","authors":"Bingzhen Geng , Yang Liu , Hongfu Wan","doi":"10.1016/j.insmatheco.2025.103197","DOIUrl":"10.1016/j.insmatheco.2025.103197","url":null,"abstract":"<div><div>Systemic risk is receiving increasing attention in the insurance industry. In this paper, we propose a multi-dimensional Lévy process-based renewal risk model with heterogeneous insurance claims, where every dimension indicates a business line of an insurer. We use the systemic expected shortfall (SES) and marginal expected shortfall (MES) defined with a Value-at-Risk (VaR) target level as the measurement of systemic risk. Assuming that all the claim sizes are pairwise asymptotically independent (PAI), we derive asymptotic formulas for the tail probabilities of discounted aggregate claims and the total loss, which hold uniformly for all time horizons. We further obtain the asymptotics of the above systemic risk measures. The main technical issues involve the treatment of uniform convergence in the dynamic time setting. Finally, we perform a detailed Monte Carlo study to validate our asymptotics and analyze the impact and sensitivity of key parameters in the asymptotic expressions both analytically and numerically.</div></div>","PeriodicalId":54974,"journal":{"name":"Insurance Mathematics & Economics","volume":"126 ","pages":"Article 103197"},"PeriodicalIF":2.2,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145839831","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}