Christopher Blier-Wong, Hélène Cossette, Luc Lamontagne, É. Marceau
{"title":"Machine Learning in Property and Casualty Insurance: A Review for Pricing and Reserving","authors":"Christopher Blier-Wong, Hélène Cossette, Luc Lamontagne, É. Marceau","doi":"10.2139/ssrn.3723780","DOIUrl":"https://doi.org/10.2139/ssrn.3723780","url":null,"abstract":"In the past 25 years, computer scientists and statisticians developed machine learning algorithms capable of modeling highly non-linear transformations and interactions of input features. While actuaries use GLMs frequently in practice, only in the past few years have they begun studying these newer algorithms to tackle insurance-related tasks. This work aims to review the applications of machine learning to the actuarial science field and present the current state-of-the-art in ratemaking and reserving. It first gives an overview of machine learning algorithms, then briefly outlines their applications in actuarial science tasks. Finally, the paper summarizes the future trends of machine learning for the insurance industry.","PeriodicalId":239853,"journal":{"name":"ERN: Other Econometrics: Econometric & Statistical Methods - Special Topics (Topic)","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121850105","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":"Discrete–Time Optimal Execution Under a Generalized Price Impact Model With Markovian Exogenous Orders","authors":"M. Fukasawa, M. Ohnishi, Makoto Shimoshimizu","doi":"10.2139/ssrn.3714066","DOIUrl":"https://doi.org/10.2139/ssrn.3714066","url":null,"abstract":"This paper examines a discrete-time optimal trade execution problem with generalized price impact. We extend a model recently discussed, which considers price impacts of aggregate random trade orders posed by small traders as well as a large trader. In contrast that assumes aggregate trading volumes submitted by small traders are serially independent, this paper allows a Markovian dependence. \u0000 \u0000Our new problem is formulated as a Markov decision process with state variables including the last small traders' aggregate orders. Over a finite horizon, the large trader with Constant Absolute Risk Aversion (CARA) von Neumann-Morgenstern (vN-M) utility function maximizes the expected utility from the final wealth. By applying the backward induction method of dynamic programming, we characterize the optimal value function and optimal trade execution strategy, and conclude that the execution strategy is a time-dependent affine function of three state variables. Moreover, numerical analysis prevails that the optimal execution strategy admits a `statistical arbitrage' via a round-trip trading, although our model considers a linear permanent price impact, which does not admit any price manipulation or arbitrage. The reason is that our model considers price impacts caused by small traders' orders with a Markovian dependence.","PeriodicalId":239853,"journal":{"name":"ERN: Other Econometrics: Econometric & Statistical Methods - Special Topics (Topic)","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123677278","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":"Internet Appendix for State-Varying Factor Models of Large Dimensions","authors":"Markus Pelger, Ruoxuan Xiong","doi":"10.2139/ssrn.3711840","DOIUrl":"https://doi.org/10.2139/ssrn.3711840","url":null,"abstract":"The Internet Appendix collects the proofs and additional results that support the main text. The additional theoretical results include a detailed description of special cases and related models and an extension to noisy and misspecified state processes. We also provide an estimator for the number of factors. The additional empirical results consider alternative state processes and discuss the choice of tuning parameters. We also study a portfolio application of our state-varying factors. The extensive simulation section compares the performance relative to alternative latent factor models that allow for time-variation and studies the choice of bandwidth and number of factors with cross-validation arguments. Lastly, we collect the detailed proofs for all the theoretical statements.","PeriodicalId":239853,"journal":{"name":"ERN: Other Econometrics: Econometric & Statistical Methods - Special Topics (Topic)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129288511","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":"Loss Given Default Distributions in Different Countries: The Modality Defines the Estimation Method","authors":"Marc Gürtler, M. Zöllner","doi":"10.2139/ssrn.3711525","DOIUrl":"https://doi.org/10.2139/ssrn.3711525","url":null,"abstract":"Estimating the credit risk parameter loss given default (LGD) is important for banks from an internal risk management and a regulatory perspective. Several estimation approaches are common in the literature and in practice. However, it remains unclear which approach leads to the highest estimation accuracy. In this regard, existing comparative studies in the literature come to different conclusions. The differences can be attributed to the specific choice of loan portfolio and, thus, to the specific choice of the LGD distribution. Against this background, we examine the estimation accuracy of various LGD estimation methods, including traditional regression and advanced machine learning. Our analysis is based on international loan portfolios of 16 European countries, with a total of 26, 227 defaulted loans of small and medium enterprises. Using a cluster analysis, we assign country-specific loan portfolios to three relevant modality types of LGD distributions. For each of these three types, we empirically determine the estimation method with the highest estimation accuracy.","PeriodicalId":239853,"journal":{"name":"ERN: Other Econometrics: Econometric & Statistical Methods - Special Topics (Topic)","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124704989","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}
Anine Eg Bolko, Kim Christensen, Bezirgen Veliyev, Mikko S. Pakkanen
{"title":"Roughness in Spot Variance? A GMM Approach for Estimation of Fractional Log-Normal Stochastic Volatility Models Using Realized Measures","authors":"Anine Eg Bolko, Kim Christensen, Bezirgen Veliyev, Mikko S. Pakkanen","doi":"10.2139/ssrn.3708167","DOIUrl":"https://doi.org/10.2139/ssrn.3708167","url":null,"abstract":"In this paper, we develop a generalized method of moments approach for joint estimation of the parameters of a fractional log-normal stochastic volatility model. We show that with an arbitrary Hurst exponent an estimator based on integrated variance is consistent. Moreover, under stronger conditions we also derive a central limit theorem. These results stand even when integrated variance is replaced with a realized measure of volatility calculated from discrete high-frequency data. However, in practice a realized estimator contains sampling error, the effect of which is to skew the fractal coefficient toward \"roughness\". We construct an analytical approach to control this error. In a simulation study, we demonstrate convincing small sample properties of our approach based both on integrated and realized variance over the entire memory spectrum. We show that the bias correction attenuates any systematic deviance in the estimated parameters. Our procedure is applied to empirical high-frequency data from numerous leading equity indexes. With our robust approach the Hurst index is estimated around 0.05, confirming roughness in integrated variance.","PeriodicalId":239853,"journal":{"name":"ERN: Other Econometrics: Econometric & Statistical Methods - Special Topics (Topic)","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122065085","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":"Tail-Risk Protection: Machine Learning Meets Modern Econometrics","authors":"Bruno Spilak, W. Härdle","doi":"10.2139/ssrn.3714632","DOIUrl":"https://doi.org/10.2139/ssrn.3714632","url":null,"abstract":"Tail risk protection is in the focus of the financial industry and requires solid mathematical and statistical tools, especially when a trading strategy is derived. Recent hype driven by machine learning (ML) mechanisms has raised the necessity to display and understand the functionality of ML tools. In this paper, we present a dynamic tail risk protection strategy that targets a maximum predefined level of risk measured by Value-At-Risk while controlling for participation in bull market regimes. We propose different weak classifiers, parametric and non-parametric, that estimate the exceedance probability of the risk level from which we derive trading signals in order to hedge tail events. We then compare the different approaches both with statistical and trading strategy performance, finally we propose an ensemble classifier that produces a meta tail risk protection strategy improving both generalization and trading performance.","PeriodicalId":239853,"journal":{"name":"ERN: Other Econometrics: Econometric & Statistical Methods - Special Topics (Topic)","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115296518","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}
Carlos Trucíos, J. Mazzeu, L. K. Hotta, Pedro L. Valls Pereira, M. Hallin
{"title":"Robustness and the General Dynamic Factor Model With Infinite-Dimensional Space: Identification, Estimation, and Forecasting","authors":"Carlos Trucíos, J. Mazzeu, L. K. Hotta, Pedro L. Valls Pereira, M. Hallin","doi":"10.2139/ssrn.3509166","DOIUrl":"https://doi.org/10.2139/ssrn.3509166","url":null,"abstract":"Abstract General dynamic factor models have demonstrated their capacity to circumvent the curse of dimensionality in the analysis of high-dimensional time series and have been successfully considered in many economic and financial applications. As second-order models, however, they are sensitive to the presence of outliers—an issue that has not been analyzed so far in the general case of dynamic factors with possibly infinite-dimensional factor spaces (Forni et al. 2000, 2015, 2017). In this paper, we consider this robustness issue and study the impact of additive outliers on the identification, estimation, and forecasting performance of general dynamic factor models. Based on our findings, we propose robust versions of identification, estimation, and forecasting procedures. The finite-sample performance of our methods is evaluated via Monte Carlo experiments and successfully applied to a classical data set of 115 US macroeconomic and financial time series.","PeriodicalId":239853,"journal":{"name":"ERN: Other Econometrics: Econometric & Statistical Methods - Special Topics (Topic)","volume":"504 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116548637","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":"Generalized Optimized Certainty Equivalent with Applications in the Rank-dependent Utility Model","authors":"Qinyu Wu, Tiantian Mao, Taizhong Hu","doi":"10.2139/ssrn.3694866","DOIUrl":"https://doi.org/10.2139/ssrn.3694866","url":null,"abstract":"In this paper, we introduce a class of optimized certainty equivalent based on the variational preference, give its dual representation based on ϕ-divergence, and study its equivalent characterization of positive homogeneity and coherence. As applications, we investigate the properties of optimized certainty equivalent based on the rank-dependent utility (RDU) model. The dual representation of RDU-based shortfall risk measure proposed by Mao and Cai (2018) is also presented.","PeriodicalId":239853,"journal":{"name":"ERN: Other Econometrics: Econometric & Statistical Methods - Special Topics (Topic)","volume":"76 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124849133","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}
Uffe Bjerregaard, B. Hølge-Hazelton, S. Kristensen, K. Olsen
{"title":"Nurse Staffing and Patient Outcomes: Analyzing Within- and Between-Variation","authors":"Uffe Bjerregaard, B. Hølge-Hazelton, S. Kristensen, K. Olsen","doi":"10.2139/ssrn.3694304","DOIUrl":"https://doi.org/10.2139/ssrn.3694304","url":null,"abstract":"Objectives: To study and compare the longitudinal and cross-sectional relationship between nurse hours perpatient day and patient outcomes (30‐day mortality and length of stay [LOS]). Data source: Retrospective administrative register data (2015-2017) with all hospital admissions, LOS, andmortality rates from five medical departments combined with monthly data on staffing levels of registerednurses, physicians, and nurse assistants from the hospital’s payroll systems, as well as detailed patient-levelmorbidity and sociodemographic characteristics. Study design: We used a flexible within‐between random effect (REWB) model to exploit longitudinal andcross-sectional variation among homogenous medical departments. We applied a rich patient‐level dataset, leaving little risk of omitted variable bias due to patient‐level heterogeneity. Data Collection: The study population covered all hospital inpatient discharges from five medical departments over the period 2015-17 (N=172,132). Hospital payroll data were merged using hospital department identification codes. Principal findings: For both outcomes, we found evidence of endogeneity in within estimates when failing to control for patient heterogeneity. When controlling for patient characteristics, we found that a greater nurse to-patient ratio was associated with a statistically significant decrease in LOS when using both within- and between‐department variations. However, only between estimates were significant for nurses when it came to mortality, whereas the significance of the within estimate was absorbed by physicians. Conclusions: Most longitudinal studies apply fixed effects and, hence, only assess within variations. We found that between estimates were higher in magnitude and were more robust to omitted variable bias than within estimates. Therefore, as between variations are likely to identify structural recruitment problems, we argue for the importance of studying between estimators as well as in longitudinal studies.","PeriodicalId":239853,"journal":{"name":"ERN: Other Econometrics: Econometric & Statistical Methods - Special Topics (Topic)","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115800059","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":"Why Forrester Wished to Replace Both Differential Equations and Economics?","authors":"K. Saeed","doi":"10.2139/ssrn.3692759","DOIUrl":"https://doi.org/10.2139/ssrn.3692759","url":null,"abstract":"While many eminent economists have expressed disdain about the abstract nature of contemporary economic theory and how it is removed from reality, few offer a cogent solution to this problem. Jay Forrester, a control engineer turned economist proposed replacing the abstract economic model with a manager-based construct. He also aspired to replace differential equations with an intuitive integration process that can be implemented on a digital computer. This paper attempts to understand how economic theory separated from reality and how modeling using Forrester’s intuitive calculus can make it verifiable and operational.","PeriodicalId":239853,"journal":{"name":"ERN: Other Econometrics: Econometric & Statistical Methods - Special Topics (Topic)","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116885335","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}