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The Discriminating (Pricing) Actuary
Abstract
The insurance industry is built on risk classification, grouping insureds into homogeneous classes. Through actions such as underwriting, pricing and so forth, it differentiates, or discriminates, among insureds. Actuaries have responsibility for pricing insurance risk transfers and are intimately involved in other aspects of company actions and so have a keen interest in whether or not discrimination is appropriate from both company and societal viewpoints. This paper reviews social and economic principles that can be used to assess the appropriateness of insurance discrimination. Discrimination issues vary by the line of insurance business and by the country and legal jurisdiction. This paper examines social and economic principles from the vantage of a specific line of business and jurisdiction; these vantage points provide insights into principles. To sharpen understanding of the social and economic principles, this paper also describes discrimination considerations for prohibitions based on diagnosis of COVID-19, the pandemic that swept the globe in 2020. Insurance discrimination issues have been an important topic for the insurance industry for decades and is evolving in part due to insurers' extensive use of *Big Data*, that is, the increasing capacity and computational abilities of computers, availability of new and innovative sources of data, and advanced algorithms that can detect patterns in insurance activities that were previously unknown. On the one hand, the fundamental issues of insurance discrimination have not changed with Big Data; one can think of credit-based insurance scoring and price optimization as simply forerunners of this movement. On the other hand, issues regarding privacy and use of algorithmic proxies take on increased importance as insurers' extensive use of data and computational abilities evolve.
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“GINA also prohibits covered health insurers from discriminating on the basis of genetic information that includes genetic test results, family medical history, and use of genetic services.”
From The Discriminating (Pricing) Actuary (2023) · cites this paper as Frees and Huang (2020)
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“In 1998, the marketplace was liberalized to a prior approval system where insurers submit rating plans to the Financial Services Agency who examines the rates on the basis of three principles of premium rates, that they be reasonable, adequate and not unfairly discriminatory (see Section 5.1 of Frees and Huang (2020),).”
From The Discriminating (Pricing) Actuary (2023) · cites this paper as Frees and Huang (2020)
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Cites
Brockett, P. L., & Golden, L. L. (2007) · Journal of Risk and Insurance · doi:10.1111/j.1539-6975.2007.00201.x · Cited by 56
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- David D Mccarthy, 1993, Risk classification and sex discrimination in pension plans, Journal of Risk and Insurance, 85, 10.2307/253100 · DOI · Paper page
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- Michael J ; Miller, 1994, Do credit-based insurance scores proxy for income in predicting auto claim risk?, Disparate impact and unfairly discriminatory insurance rates, 276, 937
- Devin G Pope, 2011, Implementing anti-discrimination policies in statistical profiling models, American Economic Journal: Economic Policy, 3, 206, 10.1257/pol.3.3.206 · DOI · Paper page
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- Anya Prince, 2019, Proxy discrimination in the age of artificial intelligence and big data, Iowa Law Review. Accessed
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- Indre Zliobaite, 2015, A survey on measuring indirect discrimination in machine learning
- RemFem <-function(Var){lm(Var ~ Female, data= ClaimsData)$residual} VehValueFemale <-RemFem, 10.1007/bf00333233 · DOI
- <-Remfem ; *( Drivage2female, 10.2307/j.ctt1t890p2.8 · DOI
- <-Remfem ; *( Drivage4female, 10.1108/wwop.2012.56316aaa.001 · DOI
- <-Remfem Drivage5female, 10.1057/9781137326195.0008 · DOI
- = Amtgamma2, 10.3133/b1052g · DOI
- = Amtgamma1a, ClaimAmount ~ VehValue+ DrivAge1Female+ DrivAge2Female+DrivAge3Female+DrivAge4Female+DrivAge5Female+Female , family=Gamma(link=log), 10.3133/b1052g · DOI
- = Amtgamma3, ClaimAmount ~ VehValue+ DrivAge1Female+ DrivAge2Female+DrivAge3Female+DrivAge4Female+DrivAge5Female , family=Gamma(link=log), 10.3133/b1052g · DOI
- = Amtgamma4, ClaimAmount ~ VehValue+ DrivAge+FemLogit1$fitted.values , family=Gamma(link=log), data= ClaimsData) AmtGamma5= glm(ClaimAmount ~ VehValue+ DrivAge1Female+, 10.1201/9781482269772-21 · DOI
- DrivAge5Female+FemLogit1$fitted.values , family=Gamma(link=log), data= ClaimsData) temp1A <-cbind, 10.7717/peerj.4485/table-1 · DOI
- <-Rbind, NA, 10.7717/peerj.7833/table-1 · DOI
- colnames(temp1) <-c("M.1 Coef, 10.4095/304807 · DOI
- temp2A <-rbind, 2, 10.2514/6.1995-635 · DOI
- <-Rbind, NA, 10.7717/peerj.7833/table-1 · DOI
- colnames(temp2) <-c("M.2 Coef, 10.7554/elife.34031.008 · DOI
- <-Cbind, 10.7717/peerj.4485/table-1 · DOI
- temp3A <-rbind, 3, 10.1021/acschembio.9b00631.s001 · DOI
- <-Rbind, NA, 10.7717/peerj.7833/table-1 · DOI
- colnames(temp3) <-c("M.3 Coef, 10.7554/elife.34031.008 · DOI
- <-Cbind, 10.7717/peerj.4485/table-1 · DOI
- <-Rbind, NA, 10.7717/peerj.7833/table-1 · DOI
- colnames(temp4) <-c("M.4 Coef, 10.7554/elife.34031.008 · DOI
- <-Cbind, 10.7717/peerj.4485/table-1 · DOI
- <-Rbind, NA, 10.7717/peerj.7833/table-1 · DOI
- colnames(temp5) <-c("M.5 Coef", "M.5 t") temp <-cbind(temp1,temp2,temp3,temp4,temp5) kable_styling(knitr::kable(temp,digits=2, caption="Gamma Regression Model Summary, 10.26434/chemrxiv.12917369 · DOI
- PSFittedF1 <-AmtGamma1$fitted.values*(ClaimsData$Female==1), 10.1201/b12208-18 · DOI
- PSFittedF2 <-AmtGamma1$fitted.values*(ClaimsData$Female==0)* exp(summary(AmtGamma1)$coefficients, 1, 10.1515/9780691207209-021 · DOI
- <- Psfittedf, PSFittedF1+PSFittedF2 #Fitted values if everyone were female PSFittedM1 <-AmtGamma1$fitted.values*(ClaimsData$Female==0, 10.1201/b12208-18 · DOI
- PSFittedM2 <-AmtGamma1$fitted.values*(ClaimsData$Female==1)* exp(-summary(AmtGamma1)$coefficients, 1, 10.1515/9780691207209-021 · DOI
- PSFittedM <-PSFittedM1+PSFittedM2 #Fitted values if everyone were male PSFitted <-(PSFittedF+PSFittedM, 10.1201/b12208-18 · DOI
- Mod1Fits <-AmtGamma1$fitted.values SumM1Fits <-sum(AmtGamma1$fitted.values), 10.1201/b12208-18 · DOI
- <- Mod2fits, AmtGamma2$fitted.values/sum(AmtGamma2$fitted.values) ) * SumM1Fits
- Mod3Fits <-( AmtGamma3$fitted.values/sum(AmtGamma3$fitted.values) ) * SumM1Fits, 10.1201/b12208-18 · DOI
- <- Mod4fits, AmtGamma4$fitted.values/sum(AmtGamma4$fitted.values) ) * SumM1Fits
- <- Mod5fits, AmtGamma5$fitted.values/sum(AmtGamma5$fitted.values) ) * SumM1Fits
- ClaimsData$Female, mean)[,2] temp3q<-summarize(Mod3Fits,ClaimsData$Female, mean)[,2] temp4q<-summarize(Mod4Fits,ClaimsData$Female, mean)[,2] temp5q<-summarize(Mod5Fits,ClaimsData$Female, mean)[,2] temp6q<-summarize(Mod6Fits, Mod6Fits <-( PSFitted/sum(PSFitted) ) * SumM1Fits library(Hmisc) temp1q<-summarize(Mod1Fits,ClaimsData$Female, mean)
- Annotated Bibliography, 10.1130/micro11-p4 · DOI
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- Vijay Aseervatham, 2016, How do unisex rating regulations affect gender differences in insurance premiums, The Geneva Papers on Risk and Insurance-Issues and Practice, 41, 128, 10.1057/gpp.2015.22 · DOI · Paper page
- 2010, Genetic Discrimination In Insurance, Australian Law Reform Commission
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- It uses these arguments to describe U.S. state approaches for nine potentially sensitive characteristics: race, national origin, religion, gender, sexual orientation, age, credit score, zip (postal) code, genetics. This description is for each of five lines of business: auto, disability, health, life, and property/casualty. The paper documents how U.S. state insurance antidiscrimination laws vary a great deal: in substance and in the intensity of regulation, across lines of insurance, across policyholder characteristics, and across states. It also remarks that a surprising number of jurisdictions do not have any laws restricting insurers, This paper describes fairness and efficiency arguments for introducing insurer prohibitions on underwriting, 87, 195
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- Patricia Born, 2019, Genetic testing in underwriting: Implications for life insurance markets, Journal of Insurance Regulation
- Angelo Borselli, 2011, The main thesis of this paper is to argue for rate deregulation in the U.S. as a superior alternative to the current regulation model. An extensive historical analysis is provided to support this thesis, as well as some empirical facts about the U.S. market, and a comparison of the European experience with insurance deregulation, Connecticut Insurance Law Journal, 18, 109
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- 2014, As stated in the title, this paper documents how advances in classification can lead to cream skimming, a type of adverse selection, against insurers that are slow to adopt such pricing innovations. This is done by providing an overview of the switching literature in economics/marketing and by describing two auto insurance case studies, one on the adoption of credit-based insurance scores and one on the introduction of usage-based insurances programs such as telematics, CAS, Casualty Actuarial and Statistical Task Force, 21, 241
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- Edward W Frees, 2020, Accessed https://papers. ssrn.com/sol3/papers.cfm?abstract_id=3592475. Retrieved on
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- Yann Joly, 2019, Looking beyond gina: Policy approaches to address genetic discrimination, Annual Review of Genomics and Human Genetics, 21, 491, 10.1146/annurev-genom-111119-011436 · DOI
- Kachalia, 2010, Data preprocessing techniques for classification without discrimination, 2010 Ieee International Conference On Data Mining, 364, 869
- Toshihiro Kamishima, 2012, Fairness-aware classifier with prejudice remover regularizer, Joint European Conference On Machine Learning And Knowledge Discovery In Databases, 35, 10.1007/978-3-642-33486-3_3 · DOI · Paper page
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- Jean Lemaire, 2002, Why do females live longer than males?, North American Actuarial Journal, 6, 21, 10.1080/10920277.2002.10596061 · DOI · Paper page
- Mathias Lindholm, 2011, However, they provide a rigorous probabilistic justification for the pricing procedure. They also justify the pricing framework using casual inference. To overcome the bias caused by the discrimination-free pricing formula, they propose bias correction strategies at the portfolio level. Empirical illustrations using both GLM and neural networks demonstrate how to apply the proposed methods for insurance pricing, particular, it discusses both social and economic considerations
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- 2020, Accessed, 10.23846/ow3.ie71 · DOI
- Lukacs, 1978, ) Takafal means shared responsibility; takaful insurance is a form of insurance that is permitted under Islamic guidelines. This paper describes Islamic socioeconomic principles applied to insurance, including concepts of uncertainty, interest, and investment arrangements, Journal of Insurance Regulation, 435, 76
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- Ninareh Mehrabi, 2019, This paper provides a comprehensive overview of types of bias in data, types of discrimination, definitions of fairness, and methods for fair machine learning
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- Michael J Miller, 2009, 276 In the U.S., "unfairly discriminatory insurance rates" are based on the costs of supplying insurance. This paper emphasizes conflicts that arise between cost-based rate practices and other rating practices that accommodate potential disparate impact effects. To motivate the discussion, it provides historical overviews of, ) laws and court decisions regarding disparate impact
- Darcy Morris, 2010, Do credit-based insurance scores proxy for income in predicting auto claim risk?, National Association of Insurance Commissioners. Accessed, 14, 206
- Anya Er Prince, 2019, Political economy, stakeholder voices, and saliency: Lessons from international policies regulating insurer use of genetic information, Journal of Law and the Biosciences, 5, 461, 10.1093/jlb/lsz001 · DOI
- Anya Prince, 2014, As learning algorithms become smarter and big data gets bigger, proxy discrimination represents an increasing challenge to anti-discrimination regimes. This paper describes how these advances can undermine these regime outcomes that include (1) promoting social risk-sharing, (2) preventing the chilling of socially-valuable behavior, Proxy discrimination in the age of artificial intelligence and big data, 29, 582
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- Hato Schmeiser, 2014, Motivated by the European Court of Justice 2011 ruling that forbade sex discrimination in insurance, this paper reports on a survey conducted of customers concerning several price differentiation criteria, including sex. The survey asked about four key insurance products, motor, annuity, life and health, and spanned customers in five European Union countries, the United Kingdom, The Oxford Handbook Of Law And Economics, 39, 481
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- R Thomas, 2012, This paper considers insurance price discrimination. An economic analysis is given of "inertia pricing," where renewal prices are higher than prices for risk-equivalent new customers, also known as "paying customers to switch, 37, 27
- Florent Thouvenin, 2016, Fairer machine learning in the real world: Mitigating discrimination without collecting sensitive data, Journal of Intellectual Property, Information Technology and E-Commerce Law, 10
- Xuefeng Zhou, 2014, On risk classification in insurance law: Reasonable distinction v.s. Discrimination, Journal of Comparative Law, 27, 93
- Indre Zliobaite, 2015, A survey on measuring indirect discrimination in machine learning
Cited by
Sorted by citations
Discrimination-Free Insurance Pricing
Lindholm, M., Richman, R., Tsanakas, A., & Wüthrich, M. V. (2022) · ASTIN Bulletin · doi:10.1017/asb.2021.23 · Cited by 60
The Discriminating (Pricing) Actuary
Frees, E. W. (., & Huang, F. (2023) · North American Actuarial Journal · doi:10.1080/10920277.2021.1951296 · Cited by 56
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- Authors
- Frees, E. (. W., & Huang, F.
- Publisher
- Elsevier BV
- Published
- 2020
- Cited by
- 2
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- 1
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- Preprint
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