{"title":"Correction to: Beating the market? A mathematical puzzle for market efficiency","authors":"M. Baumann","doi":"10.1007/s10203-023-00405-1","DOIUrl":"https://doi.org/10.1007/s10203-023-00405-1","url":null,"abstract":"","PeriodicalId":43711,"journal":{"name":"Decisions in Economics and Finance","volume":"40 1","pages":"731 - 733"},"PeriodicalIF":1.1,"publicationDate":"2023-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73657593","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":"Dini and Hadamard directional derivatives in multiobjective optimization: an overview of some results","authors":"G. Giorgi, B. Jiménez, V. Novo","doi":"10.1007/s10203-023-00403-3","DOIUrl":"https://doi.org/10.1007/s10203-023-00403-3","url":null,"abstract":"","PeriodicalId":43711,"journal":{"name":"Decisions in Economics and Finance","volume":"60 5 Pt 2 1","pages":"355 - 377"},"PeriodicalIF":1.1,"publicationDate":"2023-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88628684","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":"Optimisation of drawdowns by generalised reinsurance in the classical risk model","authors":"Leonie Violetta Brinker, Hanspeter Schmidli","doi":"10.1007/s10203-023-00402-4","DOIUrl":"https://doi.org/10.1007/s10203-023-00402-4","url":null,"abstract":"Abstract We consider a Cramér–Lundberg model representing the surplus of an insurance company under a general reinsurance control process. We aim to minimise the expected time during which the surplus is bounded away from its own running maximum by at least $$d>0$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mi>d</mml:mi> <mml:mo>></mml:mo> <mml:mn>0</mml:mn> </mml:mrow> </mml:math> (discounted at a preference rate $$delta >0$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mi>δ</mml:mi> <mml:mo>></mml:mo> <mml:mn>0</mml:mn> </mml:mrow> </mml:math> ) by choosing a reinsurance strategy. By analysing the drawdown process (i.e. the absolute distance of the controlled surplus model to its maximum) directly, we prove that the value function fulfils the corresponding Hamilton–Jacobi–Bellman equation and show how one can calculate the value function and the optimal strategy. If the initial drawdown is critically large, the problem corresponds to the maximisation of the Laplace transform of a passage time. We show that a constant retention level is optimal. If the drawdown is smaller than d , the problem can be expressed as an element of a set of Gerber–Shiu optimisation problems. We show how these problems can be solved and that the optimal strategy is of feedback form. We illustrate the theory by examples of the cases of light and heavy tailed claims.","PeriodicalId":43711,"journal":{"name":"Decisions in Economics and Finance","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135690894","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":"Laplace transforms of stochastic integrals and the pricing of Bermudan swaptions","authors":"Lars Palapies","doi":"10.1007/s10203-023-00401-5","DOIUrl":"https://doi.org/10.1007/s10203-023-00401-5","url":null,"abstract":"","PeriodicalId":43711,"journal":{"name":"Decisions in Economics and Finance","volume":"19 1","pages":"1 - 46"},"PeriodicalIF":1.1,"publicationDate":"2023-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85882657","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 the unfairness of actuarial fair annuities","authors":"An Chen, Steven Vanduffel","doi":"10.1007/s10203-023-00399-w","DOIUrl":"https://doi.org/10.1007/s10203-023-00399-w","url":null,"abstract":"Abstract Actuarial fairness pertains to the situation in which the price of an insurance contract is equal to its expected outcome. We show that actuarial fairness leads to “unfairness” in that annuitants with higher survival rates can choose a better payoff in the sense of second-order stochastic dominance than those with lower survival rates. To deal with this issue, we propose equal utility pricing, i.e., we determine prices such that all contracts have the same (nonlinear) utility from the viewpoint of a third party (e.g., a social planner). This approach is of particular relevance with respect to the design of group self-annuitization schemes.","PeriodicalId":43711,"journal":{"name":"Decisions in Economics and Finance","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135085551","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 statistical indistinguishability of complete and incomplete discrete time market models","authors":"Nikolai Dokuchaev","doi":"10.1007/s10203-023-00397-y","DOIUrl":"https://doi.org/10.1007/s10203-023-00397-y","url":null,"abstract":"The paper studies asset pricing for stochastic discrete time stock market models. The possibility of statistical evaluation of the market completeness is investigated. It is known that the market completeness is not a robust property: small random deviations of the coefficients convert a complete market model into a incomplete one. The paper investigates if market incompleteness is robust. It is found that market incompleteness is a non-robust property as well. This is demonstrated for a basic single stock stochastic market model. This implies that, for any incomplete market from a wide class of discrete time models, there exists a complete market model with arbitrarily close stock prices. This means that incomplete markets are indistinguishable from the complete markets in the terms of market statistics.","PeriodicalId":43711,"journal":{"name":"Decisions in Economics and Finance","volume":"79 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135288148","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":"Hedging and the regret theory of the firm","authors":"Udo Broll, Peter Welzel, K. Wong","doi":"10.1007/s10203-023-00395-0","DOIUrl":"https://doi.org/10.1007/s10203-023-00395-0","url":null,"abstract":"","PeriodicalId":43711,"journal":{"name":"Decisions in Economics and Finance","volume":"12 1","pages":"1-15"},"PeriodicalIF":1.1,"publicationDate":"2023-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87663960","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":"Implied higher order moments in the Heston model: a case study of S &P500 index","authors":"F. Mehrdoust, Idin Noorani","doi":"10.1007/s10203-023-00396-z","DOIUrl":"https://doi.org/10.1007/s10203-023-00396-z","url":null,"abstract":"","PeriodicalId":43711,"journal":{"name":"Decisions in Economics and Finance","volume":"1 1","pages":"1-28"},"PeriodicalIF":1.1,"publicationDate":"2023-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77831348","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":"Optimal proportional and excess-of-loss reinsurance for multiple classes of insurance business","authors":"M. Torrente","doi":"10.1007/s10203-023-00398-x","DOIUrl":"https://doi.org/10.1007/s10203-023-00398-x","url":null,"abstract":"","PeriodicalId":43711,"journal":{"name":"Decisions in Economics and Finance","volume":"26 1","pages":"1-23"},"PeriodicalIF":1.1,"publicationDate":"2023-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88360519","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: Revisiting the 1/N-strategy: a neural network framework for optimal strategies","authors":"Marcos Escobar-Anel, Lorenz Theilacker, Rudi Zagst","doi":"10.1007/s10203-023-00394-1","DOIUrl":"https://doi.org/10.1007/s10203-023-00394-1","url":null,"abstract":"","PeriodicalId":43711,"journal":{"name":"Decisions in Economics and Finance","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135613487","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}