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Risks, Volume 9, Issue 3 (March 2021) – 13 articles

Cover Story (view full-size image): To explain the loss exposure of insurance claims, pricing actuaries increasingly explore “modern” techniques, such as random forest, moving beyond classical regression models. The aim of the research by Staudt and Wagner is to assess the performance of random forest methods in predicting the claim severity in a collision car insurance portfolio. View this paper
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22 pages, 1858 KiB  
Article
Life Expectancy Heterogeneity and Pension Fairness: An Italian North-South Divide
by Fabrizio Culotta
Risks 2021, 9(3), 57; https://doi.org/10.3390/risks9030057 - 18 Mar 2021
Cited by 8 | Viewed by 3209
Abstract
This work documents a persistent life expectancy heterogeneity by gender and geography in Italy during the period 1995–2019. Based on deviations of life expectancy at age 65, it quantifies the implicit tax/subsidy mechanism triggered when pensions annuities are computed by adopting the same [...] Read more.
This work documents a persistent life expectancy heterogeneity by gender and geography in Italy during the period 1995–2019. Based on deviations of life expectancy at age 65, it quantifies the implicit tax/subsidy mechanism triggered when pensions annuities are computed by adopting the same value of longevity for the whole population. The intensity of this transfer mechanism is then measured and projected over the decade 2020–2030. Results show that females are subsidized while males are taxed by around 10%. Differences by geography persist along the Italian territory. Since 1995 the macroarea of Mezzogiorno has been taxed by 2%, Center and North-West macroareas are being subsidized by around 1%, whereas North-East by 2%. The intensity of the mechanism, despite decreases over time, is higher among females since the year 2000. From a geographical perspective, the macroarea of Mezzogiorno shows the lowest intensity, but also the lowest reduction as compared to other macroareas. Projections indicate that the North-South divide in this implicit transfer mechanism will persist over the next decade. Full article
(This article belongs to the Special Issue Pension Design, Modelling and Risk Management)
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14 pages, 899 KiB  
Article
Short-Term Price Reaction to Filing for Bankruptcy and Restructuring Proceedings—The Case of Poland
by Błażej Prusak and Marcin Potrykus
Risks 2021, 9(3), 56; https://doi.org/10.3390/risks9030056 - 18 Mar 2021
Cited by 5 | Viewed by 2884
Abstract
This study aims to check market reaction to filing for bankruptcy and restructuring proceedings and to verify the short-term effect of a price reversal in the Polish market in the years 2004–2019. The research was conducted by dividing the analysed companies according to [...] Read more.
This study aims to check market reaction to filing for bankruptcy and restructuring proceedings and to verify the short-term effect of a price reversal in the Polish market in the years 2004–2019. The research was conducted by dividing the analysed companies according to the procedure (bankruptcy and restructuring) and market (the main market and the NewConnect market). The research methodology used in the study is the event analysis method (AR, CAR, AAR and CAAR rates were used in the research), with a few statistical tests (T-test, Generalized rank Z Test, Generalized rank T-Test, Patell or Standardized Residual Test, Kolari and Pynnönen adjusted Patell or Standardized Residual Test). It was found that share prices in the Polish share market react quickly to public information about filing an application for bankruptcy or restructuring. For all analysed companies, the mean rate of return on the event day was equal to −14%, and on the next day, it was −3%. Regardless of the type of share market and the form of proceedings, the reversal effect was not confirmed in the short term. It was found that cumulative above-average rates of return fall more strongly for companies listed on the less liquid Newconnect market (−23.6%), and when information on the filing for bankruptcy proceedings is provided (−28.5%), as opposed to the main market (−19.1%) and restructuring proceedings (−17%). The cumulative average rate of return for all analysed companies in the research period (−2, +10 days) was equal to −20.6%. Full article
(This article belongs to the Special Issue Risks: Feature Papers 2021)
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15 pages, 1739 KiB  
Article
Recruitment of Employees—Assumptions of the Risk Model
by Halina Sobocka-Szczapa
Risks 2021, 9(3), 55; https://doi.org/10.3390/risks9030055 - 18 Mar 2021
Cited by 4 | Viewed by 10555
Abstract
The aim of this article is to present the risk model premises related to worker recruitment. Recruitment affects the final selection of workers, whose activities contribute to corporate competitive advantages. Hiring unfavorable workers can influence the results produced by an organization. This risk [...] Read more.
The aim of this article is to present the risk model premises related to worker recruitment. Recruitment affects the final selection of workers, whose activities contribute to corporate competitive advantages. Hiring unfavorable workers can influence the results produced by an organization. This risk mostly affects situations when searching for workers via the external labor market, although it can also affect internal recruitment. Therefore, it is necessary to attempt to identify recruitment risk determinants and classify their meaning in such processes. Model formation has both theoretical and intuitive characteristics. Model dependencies and their characteristics are identified in this paper. We attempted to assess the usability of the risk model for economic praxis. The analyses and results provide a model identification of dependencies between the factors determining a workers recruitment process and the risk which is caused by this process (employing inadequate workers who do not meet the employer’s expectations). The identification of worker recruitment process determinants should allow for practically reducing the risk of employing an inadequate worker and contribute to the reduction in unfavorable recruitment processes. The added value of this publication is the complex identification of recruitment process risk determinants and dependency formulations in a model form. Full article
(This article belongs to the Special Issue Risk in Contemporary Management)
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16 pages, 3190 KiB  
Article
Regularization of Autoencoders for Bank Client Profiling Based on Financial Transactions
by Andrey Filchenkov, Natalia Khanzhina, Arina Tsai and Ivan Smetannikov
Risks 2021, 9(3), 54; https://doi.org/10.3390/risks9030054 - 17 Mar 2021
Cited by 2 | Viewed by 2348
Abstract
Predicting if a client is worth giving a loan—credit scoring—is one of the most essential and popular problems in banking. Predictive models for this goal are built on the assumption that there is a dependency between the client’s profile before the loan approval [...] Read more.
Predicting if a client is worth giving a loan—credit scoring—is one of the most essential and popular problems in banking. Predictive models for this goal are built on the assumption that there is a dependency between the client’s profile before the loan approval and their future behavior. However, circumstances that cause changes in the client’s behavior may not depend on their will and cannot be predicted by their profile. Such clients may be considered “noisy” as their eventual belonging to the defaulters class results rather from random factors than from some predictable rules. Excluding such clients from the dataset may be helpful in building more accurate predictive models. In this paper, we report on primary results on testing the hypothesis that a client can become a defaulter in two scenarios: intentionally and unintentionally. We verify our hypothesis applying data driven regularized classification using an autoencoder to client profiles. To model an intention as a hidden variable, we propose an especially designed regularizer for the autoencoder. The regularizer aims to obtain a representation of defaulters that includes a cluster of intentional defaulters and unintentional defaulters as outliers. The outliers were detected by our model and excluded from the dataset. This improved the credit scoring model and confirmed our hypothesis. Full article
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28 pages, 15391 KiB  
Article
Assessing the Performance of Random Forests for Modeling Claim Severity in Collision Car Insurance
by Yves Staudt and Joël Wagner
Risks 2021, 9(3), 53; https://doi.org/10.3390/risks9030053 - 16 Mar 2021
Cited by 11 | Viewed by 6065
Abstract
For calculating non-life insurance premiums, actuaries traditionally rely on separate severity and frequency models using covariates to explain the claims loss exposure. In this paper, we focus on the claim severity. First, we build two reference models, a generalized linear model and a [...] Read more.
For calculating non-life insurance premiums, actuaries traditionally rely on separate severity and frequency models using covariates to explain the claims loss exposure. In this paper, we focus on the claim severity. First, we build two reference models, a generalized linear model and a generalized additive model, relying on a log-normal distribution of the severity and including the most significant factors. Thereby, we relate the continuous variables to the response in a nonlinear way. In the second step, we tune two random forest models, one for the claim severity and one for the log-transformed claim severity, where the latter requires a transformation of the predicted results. We compare the prediction performance of the different models using the relative error, the root mean squared error and the goodness-of-lift statistics in combination with goodness-of-fit statistics. In our application, we rely on a dataset of a Swiss collision insurance portfolio covering the loss exposure of the period from 2011 to 2015, and including observations from 81 309 settled claims with a total amount of CHF 184 mio. In the analysis, we use the data from 2011 to 2014 for training and from 2015 for testing. Our results indicate that the use of a log-normal transformation of the severity is not leading to performance gains with random forests. However, random forests with a log-normal transformation are the favorite choice for explaining right-skewed claims. Finally, when considering all indicators, we conclude that the generalized additive model has the best overall performance. Full article
(This article belongs to the Special Issue Risks: Feature Papers 2021)
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40 pages, 3518 KiB  
Article
Quantifying the Role of Occurrence Losses in Catastrophe Excess of Loss Reinsurance Pricing
by Shree Khare and Keven Roy
Risks 2021, 9(3), 52; https://doi.org/10.3390/risks9030052 - 12 Mar 2021
Cited by 3 | Viewed by 3655
Abstract
The aim of this paper is to merge order statistics with natural catastrophe reinsurance pricing to develop new theoretical and practical insights relevant to market practice and model development. We present a novel framework to quantify the role that occurrence losses (order statistics) [...] Read more.
The aim of this paper is to merge order statistics with natural catastrophe reinsurance pricing to develop new theoretical and practical insights relevant to market practice and model development. We present a novel framework to quantify the role that occurrence losses (order statistics) play in pricing of catastrophe excess of loss (catXL) contracts. Our framework enables one to analytically quantify the contribution of a given occurrence loss to the mean and covariance structure, before and after the application of a catXL contract. We demonstrate the utility of our framework with an application to idealized catastrophe models for a multi-peril and a hurricane-only case. For the multi-peril case, we show precisely how contributions to so-called lower layers are dominated by high frequency perils, whereas higher layers are dominated by low-frequency high severity perils. Our framework enables market practitioners and model developers to assess and understand the impact of altered model assumptions on the role of occurrence losses in catXL pricing. Full article
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10 pages, 416 KiB  
Article
Modeling Best Practice Life Expectancy Using Gumbel Autoregressive Models
by Anthony Medford
Risks 2021, 9(3), 51; https://doi.org/10.3390/risks9030051 - 10 Mar 2021
Cited by 1 | Viewed by 2331
Abstract
Best practice life expectancy has recently been modeled using extreme value theory. In this paper we present the Gumbel autoregressive model of order one—Gumbel AR(1)—as an option for modeling best practice life expectancy. This class of model represents a neat and coherent framework [...] Read more.
Best practice life expectancy has recently been modeled using extreme value theory. In this paper we present the Gumbel autoregressive model of order one—Gumbel AR(1)—as an option for modeling best practice life expectancy. This class of model represents a neat and coherent framework for modeling time series extremes. The Gumbel distribution accounts for the extreme nature of best practice life expectancy, while the AR structure accounts for the temporal dependence in the time series. Model diagnostics and simulation results indicate that these models present a viable alternative to Gaussian AR(1) models when dealing with time series of extremes and merit further exploration. Full article
(This article belongs to the Special Issue Mortality Forecasting and Applications)
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20 pages, 642 KiB  
Article
A Machine Learning Approach for Micro-Credit Scoring
by Apostolos Ampountolas, Titus Nyarko Nde, Paresh Date and Corina Constantinescu
Risks 2021, 9(3), 50; https://doi.org/10.3390/risks9030050 - 9 Mar 2021
Cited by 31 | Viewed by 16983
Abstract
In micro-lending markets, lack of recorded credit history is a significant impediment to assessing individual borrowers’ creditworthiness and therefore deciding fair interest rates. This research compares various machine learning algorithms on real micro-lending data to test their efficacy at classifying borrowers into various [...] Read more.
In micro-lending markets, lack of recorded credit history is a significant impediment to assessing individual borrowers’ creditworthiness and therefore deciding fair interest rates. This research compares various machine learning algorithms on real micro-lending data to test their efficacy at classifying borrowers into various credit categories. We demonstrate that off-the-shelf multi-class classifiers such as random forest algorithms can perform this task very well, using readily available data about customers (such as age, occupation, and location). This presents inexpensive and reliable means to micro-lending institutions around the developing world with which to assess creditworthiness in the absence of credit history or central credit databases. Full article
(This article belongs to the Special Issue Interplay between Financial and Actuarial Mathematics)
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33 pages, 962 KiB  
Article
Alleviating Class Imbalance in Actuarial Applications Using Generative Adversarial Networks
by Kwanda Sydwell Ngwenduna and Rendani Mbuvha
Risks 2021, 9(3), 49; https://doi.org/10.3390/risks9030049 - 8 Mar 2021
Cited by 14 | Viewed by 4243
Abstract
To build adequate predictive models, a substantial amount of data is desirable. However, when expanding to new or unexplored territories, this required level of information is rarely always available. To build such models, actuaries often have to: procure data from local providers, use [...] Read more.
To build adequate predictive models, a substantial amount of data is desirable. However, when expanding to new or unexplored territories, this required level of information is rarely always available. To build such models, actuaries often have to: procure data from local providers, use limited unsuitable industry and public research, or rely on extrapolations from other better-known markets. Another common pathology when applying machine learning techniques in actuarial domains is the prevalence of imbalanced classes where risk events of interest, such as mortality and fraud, are under-represented in data. In this work, we show how an implicit model using the Generative Adversarial Network (GAN) can alleviate these problems through the generation of adequate quality data from very limited or highly imbalanced samples. We provide an introduction to GANs and how they are used to synthesize data that accurately enhance the data resolution of very infrequent events and improve model robustness. Overall, we show a significant superiority of GANs for boosting predictive models when compared to competing approaches on benchmark data sets. This work offers numerous of contributions to actuaries with applications to inter alia new sample creation, data augmentation, boosting predictive models, anomaly detection, and missing data imputation. Full article
(This article belongs to the Special Issue Data Mining in Actuarial Science: Theory and Applications)
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28 pages, 5019 KiB  
Article
Financial Transactions Using FINTECH during the Covid-19 Crisis in Bulgaria
by Ivanka Vasenska, Preslav Dimitrov, Blagovesta Koyundzhiyska-Davidkova, Vladislav Krastev, Pavol Durana and Ioulia Poulaki
Risks 2021, 9(3), 48; https://doi.org/10.3390/risks9030048 - 5 Mar 2021
Cited by 38 | Viewed by 7987
Abstract
In the context of current crises following COVID-19 and growing global economic uncertainties, the issues regarding financial transactions with FINTECH are increasingly apparent. Consequently, in our opinion, the utilization of FINTECH financial transactions leads to a risk-reduction approach when in contact with other [...] Read more.
In the context of current crises following COVID-19 and growing global economic uncertainties, the issues regarding financial transactions with FINTECH are increasingly apparent. Consequently, in our opinion, the utilization of FINTECH financial transactions leads to a risk-reduction approach when in contact with other people. Moreover, financial transactions with FINTECH can save up customers’ pecuniary funds. Therefore, during crises, FINTECH applications can be perceived as more competitive than the traditional banking system. All the above have provoked us to conduct research related to the utilization of financial transactions with FINTECH before and after the COVID-19 crisis outbreak. The aim of the article is to present a survey analysis of FINTECH utilization of individual customers before and after the crisis in Bulgaria. The methodology includes a questionnaire survey of 242 individual respondents. For the data processing, we implemented statistical measures and quantitative methods, including two-sample paired t-tests, Levene’s test, and ANOVAs performed through the computer language Python in a web-based interactive computing environment for creating documents, Jupyter Notebook. The findings bring out the main issues related to the implementation of financial transactions with FINTECH under the conditions of the crisis. The findings include the identification of problems related to FINTECH transactions during the COVID-19 crisis in Bulgaria. Full article
(This article belongs to the Special Issue Quantitative Methods in Economics and Finance II)
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19 pages, 550 KiB  
Article
Applications of Clustering with Mixed Type Data in Life Insurance
by Shuang Yin, Guojun Gan, Emiliano A. Valdez and Jeyaraj Vadiveloo
Risks 2021, 9(3), 47; https://doi.org/10.3390/risks9030047 - 3 Mar 2021
Cited by 8 | Viewed by 4119
Abstract
Death benefits are generally the largest cash flow items that affect the financial statements of life insurers; some may still not have a systematic process to track and monitor death claims. In this article, we explore data clustering to examine and understand how [...] Read more.
Death benefits are generally the largest cash flow items that affect the financial statements of life insurers; some may still not have a systematic process to track and monitor death claims. In this article, we explore data clustering to examine and understand how actual death claims differ from what is expected—an early stage of developing a monitoring system crucial for risk management. We extended the k-prototype clustering algorithm to draw inferences from a life insurance dataset using only the insured’s characteristics and policy information without regard to known mortality. This clustering has the feature of efficiently handling categorical, numerical, and spatial attributes. Using gap statistics, the optimal clusters obtained from the algorithm are then used to compare actual to expected death claims experience of the life insurance portfolio. Our empirical data contained observations of approximately 1.14 million policies with a total insured amount of over 650 billion dollars. For this portfolio, the algorithm produced three natural clusters, with each cluster having lower actual to expected death claims but with differing variability. The analytical results provide management a process to identify policyholders’ attributes that dominate significant mortality deviations, and thereby enhance decision making for taking necessary actions. Full article
(This article belongs to the Special Issue Data Mining in Actuarial Science: Theory and Applications)
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15 pages, 3441 KiB  
Article
Risk Assessment for Personalized Health Insurance Based on Real-World Data
by Aristodemos Pnevmatikakis, Stathis Kanavos, George Matikas, Konstantina Kostopoulou, Alfredo Cesario and Sofoklis Kyriazakos
Risks 2021, 9(3), 46; https://doi.org/10.3390/risks9030046 - 1 Mar 2021
Cited by 17 | Viewed by 5251
Abstract
The way one leads their life is considered an important factor in health. In this paper we propose a system to provide risk assessment based on behavior for the health insurance sector. To do so we built a platform to collect real-world data [...] Read more.
The way one leads their life is considered an important factor in health. In this paper we propose a system to provide risk assessment based on behavior for the health insurance sector. To do so we built a platform to collect real-world data that enumerate different aspects of behavior, and a simulator to augment actual data with synthetic. Using the data, we built classifiers to predict variations in important quantities for the lifestyle of a person. We offer a risk assessment service to the health insurance professionals by manipulating the classifier predictions in the long-term. We also address virtual coaching by using explainable Artificial Intelligence (AI) techniques on the classifier itself to gain insights on the advice to be offered to insurance customers. Full article
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32 pages, 12746 KiB  
Article
Clustering-Based Extensions of the Common Age Effect Multi-Population Mortality Model
by Simon Schnürch, Torsten Kleinow and Ralf Korn
Risks 2021, 9(3), 45; https://doi.org/10.3390/risks9030045 - 1 Mar 2021
Cited by 10 | Viewed by 3174
Abstract
We introduce four variants of the common age effect model proposed by Kleinow, which describes the mortality rates of multiple populations. Our model extensions are based on the assumption of multiple common age effects, each of which is shared only by a subgroup [...] Read more.
We introduce four variants of the common age effect model proposed by Kleinow, which describes the mortality rates of multiple populations. Our model extensions are based on the assumption of multiple common age effects, each of which is shared only by a subgroup of all considered populations. This makes the models more realistic while still keeping them as parsimonious as possible, improving the goodness of fit. We apply different clustering methods to identify suitable subgroups. Some of the algorithms are borrowed from the unsupervised learning literature, while others are more domain-specific. In particular, we propose and investigate a new model with fuzzy clustering, in which each population’s individual age effect is a linear combination of a small number of age effects. Due to their good interpretability, our clustering-based models also allow some insights in the historical mortality dynamics of the populations. Numerical results and graphical illustrations of the considered models and their performance in-sample as well as out-of-sample are provided. Full article
(This article belongs to the Special Issue Mortality Forecasting and Applications)
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