{"title":"Portfolio insurance, portfolio theory, market simulation, and risks of portfolio leverage","authors":"Bruce I. Jacobs, Kenneth N. Levy","doi":"10.1007/s10479-024-06248-2","DOIUrl":"10.1007/s10479-024-06248-2","url":null,"abstract":"<div><p>Bruce Jacobs, Ken Levy, and Harry Markowitz shared similar interests and did comple- mentary work. This led to collaboration, debate, and building upon each other’s ideas and research. They had a prodigious relationship of over 30 years, bridging the gap between theory and practice. Bruce individually, and then with Harry, distinguished between portfolio insurance and portfolio theory. Bruce and Ken estimated security expected returns using cross-sectional analysis, and Harry used that methodology for portfolio management. Bruce and Ken used Harry’s methods for portfolio construction, and they jointly explored the value of using constraints in portfolio optimization and addressed the optimality and optimization of long–short portfolios. Bruce, Ken, and Harry jointly developed an asynchronous, discrete-time, dynamic market simulator, JLMSim, to explain the behavior of security prices and to find equilibrium expected returns. Bruce and Ken extended portfolio theory to account for the unique risks of leverage and applied investor volatility aversion and leverage aversion to portfolio choice. The optimal portfolio lies within an efficient region and on a three-dimensional efficient surface. Harry concurred that the mean–variance model is a special case of the mean–variance–leverage model. Bruce and Ken used the mean–variance–leverage model to address the optimal amount of leverage in 130–30-type portfolio strategies. Bruce and Ken would challenge Harry, and Harry would challenge Bruce and Ken, and out of that would often come something interesting and useful.</p></div>","PeriodicalId":8215,"journal":{"name":"Annals of Operations Research","volume":"346 1","pages":"67 - 97"},"PeriodicalIF":4.4,"publicationDate":"2024-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143638598","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"管理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Another puzzle: the growth in actively managed mutual funds","authors":"Martin J. Gruber","doi":"10.1007/s10479-024-06247-3","DOIUrl":"10.1007/s10479-024-06247-3","url":null,"abstract":"<div><p>Mutual funds represent one of the fastest growing type of financial intermediary in the American economy. The question remains as to why mutual funds and in particular actively managed mutual funds have grown so fast, when their performance on average has been inferior to that of index funds. One possible explanation of why investors buy actively managed open end funds lies in the fact that they are bought and sold at net asset value, and thus management ability may not be priced. If management ability exists and it is not included in the price of open end funds, then performance should be predictable. If performance is predictable and at least some investors are aware of this, then cash flows into and out of funds should be predictable by the very same metrics that predict performance. Finally, if predictors exist and at least some investors act on these predictors in investing in mutual funds, the return on new cash flows should be better than the average return for all investors in these funds. This article presents empirical evidence on all of these issues and shows that investors in actively managed mutual funds may have been more rational than we have assumed.</p></div>","PeriodicalId":8215,"journal":{"name":"Annals of Operations Research","volume":"346 1","pages":"15 - 39"},"PeriodicalIF":4.4,"publicationDate":"2024-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143638599","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"管理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Tuan-Anh Vu, Sohaib Afifi, Eric Lefèvre, Frédéric Pichon
{"title":"Optimization problems with uncertain objective coefficients using capacities","authors":"Tuan-Anh Vu, Sohaib Afifi, Eric Lefèvre, Frédéric Pichon","doi":"10.1007/s10479-024-06331-8","DOIUrl":"10.1007/s10479-024-06331-8","url":null,"abstract":"<div><p>We study a general optimization problem in which coefficients in the objective are uncertain. We use capacities (lower probabilities) to model such uncertainty. Two popular criteria in imprecise probability, namely maximality and E-admissibility, are employed to compare solutions. We characterize non-dominated solutions with respect to these criteria in terms of well-known notions in multi-objective optimization. These characterizations are novel and make it possible to derive several interesting results. Specially, for convex problems, maximality and E-admissibility are equivalent for <i>any</i> capacities even though the set of associated acts is <i>not</i> convex, and in case of 2-monotone capacities, finding an <i>arbitrary</i> non-dominated solution and checking if a given solution is non-dominated are both tractable. For combinatorial problems, we show a general result: in case of 2-monotone capacities, if the deterministic version of the problem can be solved in polynomial time, checking E-admissibility can also be done in polynomial time. Lastly, for the matroid optimization problem, more refined results are also obtained thanks to these characterizations, namely the connectedness of E-admissible solutions and an outer approximation based on the greedy algorithm for non-dominated solutions with respect to maximality.</p></div>","PeriodicalId":8215,"journal":{"name":"Annals of Operations Research","volume":"344 1","pages":"383 - 412"},"PeriodicalIF":4.4,"publicationDate":"2024-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10479-024-06331-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142912925","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"管理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Reliability modeling and optimal maintenance strategies for stochastically deteriorating systems with random degradation latency","authors":"Wenjie Dong, Yingsai Cao, Jingru Zhang","doi":"10.1007/s10479-024-06334-5","DOIUrl":"10.1007/s10479-024-06334-5","url":null,"abstract":"<div><p>This paper mainly deals with the reliability modeling and optimal preventive replacement policies for a stochastically deteriorating system with random shocks. Specifically, the system is subject to stochastic performance deterioration, in which it is described with a Gamma process and degrades after a random degradation latency period. At the same time, a random shock process with a non-homogenous Poisson process is incorporated into system degradation modeling, where two kinds of shock effectiveness are formed upon arrival. The dependence between the degradation-induced failure and the shock-induced failure is bidirectional in this research. Based on system survival function, a periodic replacement policy and an inspection replacement policy are respectively investigated. The optimal solutions to the two preventive replacement policies are sought analytically and their resulting long-run average cost rates are compared to decide which one is more profitable. Finally, an illustrative example of the gas insulated transmission line is surveyed to validate the theoretical results, demonstrating that the random degradation onset time and two kinds of shocks are significant factors to system reliability evaluation and maintenance decisions.</p></div>","PeriodicalId":8215,"journal":{"name":"Annals of Operations Research","volume":"345 1","pages":"105 - 124"},"PeriodicalIF":4.4,"publicationDate":"2024-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143108687","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"管理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"If you get to San Diego, let’s do lunch or dinner…","authors":"Panos Xidonas","doi":"10.1007/s10479-024-06328-3","DOIUrl":"10.1007/s10479-024-06328-3","url":null,"abstract":"<div><p>The human perspective and splendor of Harry Markowitz, the contribution of whom to the broader field of <i>financial decision making</i> was immense, outstanding and unrepeatable.</p></div>","PeriodicalId":8215,"journal":{"name":"Annals of Operations Research","volume":"346 1","pages":"65 - 66"},"PeriodicalIF":4.4,"publicationDate":"2024-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143638580","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"管理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Mehmet Anıl Akbay, Christian Blum, Can Berk Kalayci
{"title":"CMSA based on set covering models for packing and routing problems","authors":"Mehmet Anıl Akbay, Christian Blum, Can Berk Kalayci","doi":"10.1007/s10479-024-06295-9","DOIUrl":"10.1007/s10479-024-06295-9","url":null,"abstract":"<div><p>Many packing, routing, and knapsack problems can be expressed in terms of integer linear programming models based on set covering. These models have been exploited in a range of successful heuristics and exact techniques for tackling such problems. In this paper, we show that integer linear programming models based on set covering can be very useful for their use within an algorithm called “Construct, Merge, Solve & Adapt”(CMSA), which is a recent hybrid metaheuristic for solving combinatorial optimization problems. This is because most existing applications of CMSA are characterized by the use of an integer programming solver for solving reduced problem instances at each iteration. We present applications of CMSA to the variable-sized bin packing problem and to the electric vehicle routing problem with time windows and simultaneous pickups and deliveries. In both applications, CMSA based on a set covering model strongly outperforms CMSA when using an assignment-type model. Moreover, state-of-the-art results are obtained for both considered optimization problems.</p></div>","PeriodicalId":8215,"journal":{"name":"Annals of Operations Research","volume":"343 1","pages":"1 - 38"},"PeriodicalIF":4.4,"publicationDate":"2024-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10479-024-06295-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142789220","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"管理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Bayesian learning and pricing model with multiple unknown demand parameters","authors":"Baichun Xiao, Wei Yang","doi":"10.1007/s10479-024-06279-9","DOIUrl":"10.1007/s10479-024-06279-9","url":null,"abstract":"<div><p>This article presents a Bayesian learning model for demand estimation in revenue management. Different from most existing models in the literature, our discussion centers on demand functions with an arbitrary number of unknown and correlated parameters, and estimating them simultaneously. We formulate the problem as a Dirichlet learning model and show the search process converges to the true parameter values. As the observed data does not unambiguously reveal the underlying demand curve, the exploration scheme is notably different from conventional Dirichlet sampling process. We apply a partially observable Markov decision process to ensure the true demand curve surfaces as a favorite. Our pricing policy during the learning phase also differs from myopic heuristics by taking both the remaining time and unsold items into consideration. As incomplete learning remains a concern for all existing learning models, we show that the occurrence of uninformative prices is rooted in the dynamics of pricing, and prove that the proposed model is immune from incomplete learning. For revenue performance, the regret bounds established are comparable to the benchmark in the literature under similar conditions. Overall, the proposed model integrates the learning process with earning goals and offers a promising tool to achieve both targets.</p></div>","PeriodicalId":8215,"journal":{"name":"Annals of Operations Research","volume":"343 1","pages":"493 - 513"},"PeriodicalIF":4.4,"publicationDate":"2024-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142789221","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"管理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Catastrophic risk: indication, quantitative assessment and management of rare extreme events using a non-expected utility framework","authors":"Gebhard Geiger","doi":"10.1007/s10479-024-06259-z","DOIUrl":"10.1007/s10479-024-06259-z","url":null,"abstract":"<div><p>The paper develops a conceptual framework for the analysis and management of catastrophic risk. The framework serves to assess rare extreme events in systematic, quantitative and consistent ways. It dispenses with probabilistic extreme value theory, concentrating on descriptive statistics and simple probability distributions. Risk assessment is based on a recently developed axiomatic approach to non-expected utility preferences defined on the set of risky alternative courses of action available to an agent. The utility values of catastrophic risks are given an explicit algebraic representation, which shows them to be highly unstable (“elastic”) in the sense that they respond disproportionately to small perturbations of the decision outcomes and their probabilities. Various elasticity coefficients are defined for the outcome variables and utility preferences attached to them. They indicate whether a variable possibly takes on large negative values. The coefficients can also be defined as sample statistics and, thus, computed from observed data. The approach admits various applications to practical problems of disaster risk management. The applications include estimations of the effectiveness and cost-efficiency of risk management, the specification of limits of acceptance of catastrophic risk for regulatory purposes, and safety and security systems design and dimensioning.</p></div>","PeriodicalId":8215,"journal":{"name":"Annals of Operations Research","volume":"343 1","pages":"223 - 261"},"PeriodicalIF":4.4,"publicationDate":"2024-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10479-024-06259-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142789223","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"管理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The tradeoff between maximizing expected profit and minimizing the maximum regret in the newsvendor problem","authors":"Mark S. Daskin, Michael Redmond, Abigail Levin","doi":"10.1007/s10479-024-06276-y","DOIUrl":"10.1007/s10479-024-06276-y","url":null,"abstract":"<div><p>We introduce a multi-objective variant of the newsvendor problem in which we maximize the expected profit and minimize the maximum regret associated with the decision of how many items to procure from a supplier in the face of unknown demand. When the demand distribution is bounded, the problem is relatively simple. With an unbounded demand distribution, the maximum regret is undefined. In that case, we introduce a chance-constrained variant of the model in which we minimize the maximum regret over a range of demand values whose probability is at least a user-specified value, <span>(gamma)</span>. We provide an algorithm for finding the tradeoff between the expected profit and the <span>(gamma)</span>-level maximum regret. We also show that, when operating near the optimal single-objective newsvendor solution, we can significantly reduce the <span>(gamma)</span>-level maximum regret with little degradation in the expected profit.</p></div>","PeriodicalId":8215,"journal":{"name":"Annals of Operations Research","volume":"343 1","pages":"153 - 174"},"PeriodicalIF":4.4,"publicationDate":"2024-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142789222","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"管理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Marcos López de Prado, Joseph Simonian, Francesco A. Fabozzi, Frank J. Fabozzi
{"title":"Enhancing Markowitz's portfolio selection paradigm with machine learning","authors":"Marcos López de Prado, Joseph Simonian, Francesco A. Fabozzi, Frank J. Fabozzi","doi":"10.1007/s10479-024-06257-1","DOIUrl":"10.1007/s10479-024-06257-1","url":null,"abstract":"<div><p>In this paper we describe the integration of machine learning (ML) techniques into the framework of Markowitz's portfolio selection and show how they can help advance the robust mathematical strategies necessary for modern financial markets. By combining traditional econometrics with cutting-edge ML methodologies, we show how to enhance portfolio management processes including alpha generation, risk management, and optimization of risk metrics like conditional value at risk. ML's capacity to handle vast and complex datasets allows for more dynamic and informed decision-making in portfolio construction. Moreover, we discuss the practical applications of these techniques in real-world portfolio management, highlighting both the potential enhancements and the challenges faced by portfolio managers in implementing ML strategies.</p></div>","PeriodicalId":8215,"journal":{"name":"Annals of Operations Research","volume":"346 1","pages":"319 - 340"},"PeriodicalIF":4.4,"publicationDate":"2024-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143638515","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"管理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}