{"title":"Optimal insurance for a prudent decision maker under heterogeneous beliefs","authors":"Mario Ghossoub, Wenjun Jiang, Jiandong Ren","doi":"10.1007/s13385-022-00335-z","DOIUrl":"https://doi.org/10.1007/s13385-022-00335-z","url":null,"abstract":"<p>In this paper we extend some of the results in the literature on optimal insurance under heterogeneous beliefs in the presence of the no-sabotage condition, by allowing the likelihood ratio function to be non-monotone. Under the assumption of prudence and a mild smoothness condition on the likelihood ratio function, we first partition the whole domain of loss into disjoint regions and then obtain an explicit parametric form for the optimal indemnity function over each piece, by resorting to the marginal indemnity function formulation. The case where there exists belief singularity between the decision maker and the insurer is also studied. As an illustration, we consider a special case of our setting in which the premium principle is a distortion premium principle. We then obtain a closed-form characterization of the optimal indemnity for the cases where premia are determined by Value-at-Risk and Tail Value-at-Risk. Our study complements the literature and provides new insights into several similar problems.</p>","PeriodicalId":44305,"journal":{"name":"European Actuarial Journal","volume":"282 ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138505063","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Correction to: Does autocalibration improve goodness of lift?","authors":"Nicolas Ciatto, H. Verelst, J. Trufin, M. Denuit","doi":"10.1007/s13385-022-00332-2","DOIUrl":"https://doi.org/10.1007/s13385-022-00332-2","url":null,"abstract":"","PeriodicalId":44305,"journal":{"name":"European Actuarial Journal","volume":"13 1","pages":"487-489"},"PeriodicalIF":1.2,"publicationDate":"2022-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49432191","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Duration gap with multiple liabilities for nonparallel shifts","authors":"J. R. Barber","doi":"10.1007/s13385-022-00329-x","DOIUrl":"https://doi.org/10.1007/s13385-022-00329-x","url":null,"abstract":"","PeriodicalId":44305,"journal":{"name":"European Actuarial Journal","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48416247","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Nicolas Ciatto, Harrison Verelst, J. Trufin, M. Denuit
{"title":"Does autocalibration improve goodness of lift?","authors":"Nicolas Ciatto, Harrison Verelst, J. Trufin, M. Denuit","doi":"10.1007/s13385-022-00330-4","DOIUrl":"https://doi.org/10.1007/s13385-022-00330-4","url":null,"abstract":"","PeriodicalId":44305,"journal":{"name":"European Actuarial Journal","volume":"13 1","pages":"479-486"},"PeriodicalIF":1.2,"publicationDate":"2022-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49526651","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Dimitri Delcaillau, Antoine Ly, A. Papp, F. Vermet
{"title":"Model transparency and interpretability: survey and application to the insurance industry","authors":"Dimitri Delcaillau, Antoine Ly, A. Papp, F. Vermet","doi":"10.1007/s13385-022-00328-y","DOIUrl":"https://doi.org/10.1007/s13385-022-00328-y","url":null,"abstract":"","PeriodicalId":44305,"journal":{"name":"European Actuarial Journal","volume":"12 1","pages":"443 - 484"},"PeriodicalIF":1.2,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41440000","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Application of machine learning methods to predict drought cost in France","authors":"Antoine Heranval, O. Lopez, Maud Thomas","doi":"10.1007/s13385-022-00327-z","DOIUrl":"https://doi.org/10.1007/s13385-022-00327-z","url":null,"abstract":"","PeriodicalId":44305,"journal":{"name":"European Actuarial Journal","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45023371","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On some effects of dependencies on an insurer’s risk exposure, probability of ruin, and optimal premium loading","authors":"R. L. Gudmundarson, M. Guerra, Alban Moura","doi":"10.1007/s13385-022-00326-0","DOIUrl":"https://doi.org/10.1007/s13385-022-00326-0","url":null,"abstract":"","PeriodicalId":44305,"journal":{"name":"European Actuarial Journal","volume":"13 1","pages":"341-373"},"PeriodicalIF":1.2,"publicationDate":"2022-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43706925","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Phase-type representations of stochastic interest rates with applications to life insurance","authors":"Jamaal Ahmad, M. Bladt","doi":"10.1007/s13385-023-00346-4","DOIUrl":"https://doi.org/10.1007/s13385-023-00346-4","url":null,"abstract":"","PeriodicalId":44305,"journal":{"name":"European Actuarial Journal","volume":"1 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42492879","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Neural networks meet least squares Monte Carlo at internal model data","authors":"Christian Jonen, Tamino Meyhöfer, Zoran Nikolic","doi":"10.1007/s13385-022-00321-5","DOIUrl":"https://doi.org/10.1007/s13385-022-00321-5","url":null,"abstract":"","PeriodicalId":44305,"journal":{"name":"European Actuarial Journal","volume":"13 1","pages":"399-425"},"PeriodicalIF":1.2,"publicationDate":"2022-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46483680","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}