{ "id": 7217, "date": "2026-04-07T12:00:29", "date_gmt": "2026-04-07T12:00:29", "guid": { "rendered": "https:\/\/detralytics.com\/?p=7217" }, "modified": "2026-08-21T13:30:09", "modified_gmt": "2026-08-21T13:30:09", "slug": "actuarial-modeling-of-battery-insurance-for-electric-vehicles", "status": "publish", "type": "post", "link": "https:\/\/detralytics.com\/en\/publication\/actuarial-modeling-of-battery-insurance-for-electric-vehicles\/", "title": { "rendered": "Actuarial modeling of battery insurance for electric vehicles" }, "content": { "rendered": "
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Actuarial modeling of battery insurance for electric vehicles<\/h1>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
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Detra Note 2026-1<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
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Abstract<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
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This paper develops a stochastic framework for modeling battery capacity degradation, with the aim of designing insurance products for electric vehicles. The degradation process is \ufb01rst described by a Brownian motion with drift, leading to a tractable distribution of the lifetime de\ufb01ned as the \ufb01rst passage time below a failure threshold. Heterogeneity across vehicles is then incorporated through random effects re\ufb02ecting battery type and individual behavior, thereby inducing correlations between failure times analogous to systematic components in mortality models. The proposed approach emphasizes distributional modeling of lifetimes rather than real-time prediction, thus aligning battery insurance with traditional life insurance mathematics while distinguishing it from much of the engineering literature devoted to remaining useful life. The proposed approach is illustrated with a simple numerical example performed on simulated data.<\/p><\/div><\/div><\/div>

Keywords: <\/span><\/strong>Battery capacity, lifetime modeling, experience rating, credibility model.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

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Sector: <\/b>Insurance<\/p>

<\/b>Domain: <\/b>Non-Life<\/p>

Authors: <\/b>Michel Denuit & Julien Trufin<\/p>

Publisher:<\/b> Detralytics<\/p>

Date:<\/b> April 2026<\/p>

Language:<\/b> English<\/p>

Pages:<\/b> 19<\/p>

Reference :<\/b> Detra Note 2026-1<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

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About the authors<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
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\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\"Michel\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
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Michel Denuit<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
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Michel is a Scientific Advisor at Detralytics, as well as a professor in actuarial science at the Universit\u00e9 Catholique de Louvain. He has international experience as a visiting professor, and has promoted many projects in collaboration with the industry. At Detralytics, Michel coaches young talents, provides cutting-edge training, fosters innovation and oversees R&D projects.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

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\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\"Julien\"\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
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Julien Trufin<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
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Julien is a Scientific Advisor at Detralytics, as well as a professor in Actuarial Science at the department of mathematics of the Universit\u00e9 Libre de Bruxelles. Julien has experience as a consultant and a strong academic background developed at prominent institutions, including Universit\u00e9 Laval (Canada), UCL, and ULB (Belgium). At Detralytics, Julien coaches young talents, provide cutting-edge training, fosters innovation and oversees R&D projects.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

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This paper develops a stochastic framework for modeling battery capacity degradation, with the aim of designing insurance products for electric vehicles. <\/p>", "protected": false }, "author": 1, "featured_media": 7218, "comment_status": "closed", "ping_status": "closed", "sticky": false, "template": "", "format": "standard", "meta": { "footnotes": "" }, "categories": [ 133 ], "tags": [], "class_list": [ "post-7217", "post", "type-post", "status-publish", "format-standard", "has-post-thumbnail", "hentry", "category-publication" ], "yoast_head": "\nDetra Note : Actuarial modeling of battery insurance for electric vehicles<\/title>\n<meta name=\"description\" content=\"This paper develops a stochastic framework for modeling battery capacity degradation to design insurance products for electric vehicles.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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