Valentina Macchiati, Emiliano Marchese, Piero Mazzarisi, Diego Garlaschelli, Tiziano Squartini
{"title":"Spectral signatures of structural change in financial networks","authors":"Valentina Macchiati, Emiliano Marchese, Piero Mazzarisi, Diego Garlaschelli, Tiziano Squartini","doi":"arxiv-2409.03349","DOIUrl":"https://doi.org/arxiv-2409.03349","url":null,"abstract":"The level of systemic risk in economic and financial systems is strongly\u0000determined by the structure of the underlying networks of interdependent\u0000entities that can propagate shocks and stresses. Since changes in network\u0000structure imply changes in risk levels, it is important to identify structural\u0000transitions potentially leading to system-wide crises. Methods have been\u0000proposed to assess whether a real-world network is in a (quasi-)stationary\u0000state by checking the consistency of its structural evolution with appropriate\u0000maximum-entropy ensembles of graphs. While previous analyses of this kind have\u0000focused on dyadic and triadic motifs, hence disregarding higher-order\u0000structures, here we consider closed walks of any length. Specifically, we study\u0000the ensemble properties of the spectral radius of random graph models\u0000calibrated on real-world evolving networks. Our approach is shown to work\u0000remarkably well for directed networks, both binary and weighted. As\u0000illustrative examples, we consider the Electronic Market for Interbank Deposit\u0000(e-MID), the Dutch Interbank Network (DIN) and the International Trade Network\u0000(ITN) in their evolution across the 2008 crisis. By monitoring the deviation of\u0000the spectral radius from its ensemble expectation, we find that the ITN remains\u0000in a (quasi-)equilibrium state throughout the period considered, while both the\u0000DIN and e-MID exhibit a clear out-of-equilibrium behaviour. The spectral\u0000deviation therefore captures ongoing topological changes, extending over all\u0000length scales, to provide a compact proxy of the resilience of economic and\u0000financial networks.","PeriodicalId":501128,"journal":{"name":"arXiv - QuantFin - Risk Management","volume":"24 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142191291","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}
Oytun Haçarız, Torsten Kleinow, Angus S. Macdonald
{"title":"Lapse-supported life insurance and adverse selection","authors":"Oytun Haçarız, Torsten Kleinow, Angus S. Macdonald","doi":"arxiv-2409.01843","DOIUrl":"https://doi.org/arxiv-2409.01843","url":null,"abstract":"If individuals at the highest mortality risk are also least likely to lapse a\u0000life insurance policy, then lapse-supported premiums magnify adverse selection\u0000costs. As an example, we model 'Term to 100' contracts, and risk as revealed by\u0000genetic test results. We identify three methods of managing lapse surplus:\u0000eliminating it by design; disposing of it retrospectively (through\u0000participation); or disposing of it prospectively (through lapse-supported\u0000premiums). We then assume a heterogeneous population in which: (a) insurers\u0000cannot identify individuals at high mortality risk; (b) a secondary market\u0000exists that prevents high-risk policies from lapsing; (c) financial\u0000underwriting is lax or absent; and (d) life insurance policies may even be\u0000initiated by third parties as a financial investment (STOLI). Adverse selection\u0000losses under (a) are typically very small, but under (b) can be increased by\u0000multiples, and under (c) and (d) increased almost without limit. We note that\u0000the different approaches to modeling lapses used in studies of adverse\u0000selection and genetic testing appear to be broadly equivalent and robust.","PeriodicalId":501128,"journal":{"name":"arXiv - QuantFin - Risk Management","volume":"194 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142191355","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 Ratcheting of Dividends with Irreversible Reinsurance","authors":"Tim J. Boonen, Engel John C. Dela Vega","doi":"arxiv-2408.16989","DOIUrl":"https://doi.org/arxiv-2408.16989","url":null,"abstract":"This paper considers an insurance company that faces two key constraints: a\u0000ratcheting dividend constraint and an irreversible reinsurance constraint. The\u0000company allocates part of its reserve to pay dividends to its shareholders\u0000while strategically purchasing reinsurance for its claims. The ratcheting\u0000dividend constraint ensures that dividend cuts are prohibited at any time. The\u0000irreversible reinsurance constraint ensures that reinsurance contracts cannot\u0000be prematurely terminated or sold to external entities. The dividend rate level\u0000and the reinsurance level are modelled as nondecreasing processes, thereby\u0000satisfying the constraints. The incurred claims are modelled via a Brownian\u0000risk model. The main objective is to maximize the cumulative expected\u0000discounted dividend payouts until the time of ruin. The reinsurance and\u0000dividend levels belong to either a finite set or a closed interval. The optimal\u0000value functions for the finite set case and the closed interval case are proved\u0000to be the unique viscosity solutions of the corresponding\u0000Hamilton-Jacobi-Bellman equations, and the convergence between these optimal\u0000value functions is established. For the finite set case, a threshold strategy\u0000is proved to be optimal, while for the closed interval case, an\u0000$epsilon$-optimal strategy is constructed. Finally, numerical examples are\u0000presented to illustrate the optimality conditions and optimal strategies.","PeriodicalId":501128,"journal":{"name":"arXiv - QuantFin - Risk Management","volume":"20 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142191290","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":"Quantifying the degree of risk aversion of spectral risk measures","authors":"E. Ruben van Beesten","doi":"arxiv-2408.15675","DOIUrl":"https://doi.org/arxiv-2408.15675","url":null,"abstract":"I propose a functional on the space of spectral risk measures that quantifies\u0000their ``degree of risk aversion''. This quantification formalizes the idea that\u0000some risk measures are ``more risk-averse'' than others. I construct the\u0000functional using two axioms: a normalization on the space of CVaRs and a\u0000linearity axiom. I present two formulas for the functional and discuss several\u0000properties and interpretations.","PeriodicalId":501128,"journal":{"name":"arXiv - QuantFin - Risk Management","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142191292","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}
E. Ruben van Beesten, Nick W. Koning, David P. Morton
{"title":"Assessing solution quality in risk-averse stochastic programs","authors":"E. Ruben van Beesten, Nick W. Koning, David P. Morton","doi":"arxiv-2408.15690","DOIUrl":"https://doi.org/arxiv-2408.15690","url":null,"abstract":"In an optimization problem, the quality of a candidate solution can be\u0000characterized by the optimality gap. For most stochastic optimization problems,\u0000this gap must be statistically estimated. We show that standard estimators are\u0000optimistically biased for risk-averse problems, which compromises the\u0000statistical guarantee on the optimality gap. We introduce estimators for\u0000risk-averse problems that do not suffer from this bias. Our method relies on\u0000using two independent samples, each estimating a different component of the\u0000optimality gap. Our approach extends a broad class of methods for estimating\u0000the optimality gap from the risk-neutral case to the risk-averse case, such as\u0000the multiple replications procedure and its one- and two-sample variants. Our\u0000approach can further make use of existing bias and variance reduction\u0000techniques.","PeriodicalId":501128,"journal":{"name":"arXiv - QuantFin - Risk Management","volume":"28 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142191294","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":"Evaluating Credit VIX (CDS IV) Prediction Methods with Incremental Batch Learning","authors":"Robert Taylor","doi":"arxiv-2408.15404","DOIUrl":"https://doi.org/arxiv-2408.15404","url":null,"abstract":"This paper presents the experimental process and results of SVM, Gradient\u0000Boosting, and an Attention-GRU Hybrid model in predicting the Implied\u0000Volatility of rolled-over five-year spread contracts of credit default swaps\u0000(CDS) on European corporate debt during the quarter following mid-May '24, as\u0000represented by the iTraxx/Cboe Europe Main 1-Month Volatility Index (BP\u0000Volatility). The analysis employs a feature matrix inspired by Merton's\u0000determinants of default probability. Our comparative assessment aims to\u0000identify strengths in SOTA and classical machine learning methods for financial\u0000risk prediction","PeriodicalId":501128,"journal":{"name":"arXiv - QuantFin - Risk Management","volume":"12 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142191295","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":"A novel k-generation propagation model for cyber risk and its application to cyber insurance","authors":"Na Ren, Xin Zhang","doi":"arxiv-2408.14151","DOIUrl":"https://doi.org/arxiv-2408.14151","url":null,"abstract":"The frequent occurrence of cyber risks and their serious economic\u0000consequences have created a growth market for cyber insurance. The calculation\u0000of aggregate losses, an essential step in insurance pricing, has attracted\u0000considerable attention in recent years. This research develops a path-based\u0000k-generation risk contagion model in a tree-shaped network structure that\u0000incorporates the impact of the origin contagion location and the heterogeneity\u0000of security levels on contagion probability and local loss, distinguishing it\u0000from most existing models. Furthermore, we discuss the properties of\u0000k-generation risk contagion among multi-paths using the concept of d-separation\u0000in Bayesian network (BN), and derive explicit expressions for the mean and\u0000variance of local loss on a single path. By combining these results, we compute\u0000the mean and variance values for aggregate loss across the entire network until\u0000time $t$, which is crucial for accurate cyber insurance pricing. Finally,\u0000through numerical calculations and relevant probability properties, we have\u0000obtained several findings that are valuable to risk managers and insurers.","PeriodicalId":501128,"journal":{"name":"arXiv - QuantFin - Risk Management","volume":"217 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142191296","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 insurance design with Lambda-Value-at-Risk","authors":"Tim J. Boonen, Yuyu Chen, Xia Han, Qiuqi Wang","doi":"arxiv-2408.09799","DOIUrl":"https://doi.org/arxiv-2408.09799","url":null,"abstract":"This paper explores optimal insurance solutions based on the\u0000Lambda-Value-at-Risk ($LambdaVaR$). If the expected value premium principle\u0000is used, our findings confirm that, similar to the VaR model, a truncated\u0000stop-loss indemnity is optimal in the $LambdaVaR$ model. We further provide a\u0000closed-form expression of the deductible parameter under certain conditions.\u0000Moreover, we study the use of a $Lambda'VaR$ as premium principle as well,\u0000and show that full or no insurance is optimal. Dual stop-loss is shown to be\u0000optimal if we use a $Lambda'VaR$ only to determine the risk-loading in the\u0000premium principle. Moreover, we study the impact of model uncertainty,\u0000considering situations where the loss distribution is unknown but falls within\u0000a defined uncertainty set. Our findings indicate that a truncated stop-loss\u0000indemnity is optimal when the uncertainty set is based on a likelihood ratio.\u0000However, when uncertainty arises from the first two moments of the loss\u0000variable, we provide the closed-form optimal deductible in a stop-loss\u0000indemnity.","PeriodicalId":501128,"journal":{"name":"arXiv - QuantFin - Risk Management","volume":"10 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142191321","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":"Contemporaneous and lagged spillovers across crude oil, carbon emission allowance, climate change, and agriculture futures markets: Evidence from the $R^2$ decomposed connectedness approach","authors":"Yan-Hong Yang, Ying-Hui Shao, Wei-Xing Zhou","doi":"arxiv-2408.09669","DOIUrl":"https://doi.org/arxiv-2408.09669","url":null,"abstract":"In this paper, we examine the dynamic spillovers among the crude oil, carbon\u0000emission allowance, climate change, and agricultural markets. Adopting a novel\u0000$R^2$ decomposed connectedness approach, our empirical analysis reveals several\u0000key findings. The overall TCI dynamics have been mainly dominated by\u0000contemporaneous dynamics rather than the lagged dynamics. We also find climate\u0000change has significant spillovers to other markets. Moreover, there are\u0000heterogeneous spillover effects among agricultural markets. Specially, corn is\u0000the biggest risk contributor to this system, while barley is the major risk\u0000receiver of shocks.","PeriodicalId":501128,"journal":{"name":"arXiv - QuantFin - Risk Management","volume":"127 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142191324","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":"Using Fermat-Torricelli points in assessing investment risks","authors":"Sergey Yekimov","doi":"arxiv-2408.09267","DOIUrl":"https://doi.org/arxiv-2408.09267","url":null,"abstract":"The use of Fermat-Torricelli points can be an effective mathematical tool for\u0000analyzing numerical series that have a large variance, a pronounced nonlinear\u0000trend, or do not have a normal distribution of a random variable. Linear\u0000dependencies are very rare in nature. Smoothing numerical series by\u0000constructing Fermat-Torricelli points reduces the influence of the random\u0000component on the final result. The presence of a normal distribution of a random variable for numerical\u0000series that relate to long time intervals is an exception to the rule rather\u0000than an axiom. The external environment (international economic relations,\u0000scientific and technological progress, political events) is constantly\u0000changing, which in turn, in general, does not give grounds to assert that under\u0000these conditions a random variable satisfies the requirements of the\u0000Gauss-Markov theorem.","PeriodicalId":501128,"journal":{"name":"arXiv - QuantFin - Risk Management","volume":"31 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142191322","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}