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📋 '''Decrement model''' is an [[Definition:Actuarial science | actuarial]] framework that quantifies the rates at which members of a defined population exit a particular status—through events such as death, disability, policy lapse, retirement, or surrender—over a given time period. In insurance, these models sit at the very core of product design and [[Definition:Reserve | reserving]]: a [[Definition:Life insurance | life insurer]] pricing an [[Definition:Annuity | annuity]] must estimate mortality decrements, while a [[Definition:Disability insurance | disability carrier]] must also capture recovery and relapse transitions. The accuracy of these exit-rate assumptions directly determines whether [[Definition:Premium | premiums]] are adequate and [[Definition:Policy reserve | reserves]] are sufficient to meet future obligations.

⚙️ Actuaries construct decrement models using either a single-decrement or [[Definition:Multiple decrement model | multiple-decrement]] approach. A single-decrement model isolates one cause of exit—most classically, death in a standard [[Definition:Mortality table | mortality table]]. A multiple-decrement model recognizes that individuals face competing risks simultaneously; for instance, an [[Definition:Insured | insured]] covered under a [[Definition:Group life insurance | group life]] plan can leave the population by dying, by [[Definition:Lapse | lapsing]] coverage, by [[Definition:Retirement | retiring]], or by becoming [[Definition:Disability | disabled]], and each decrement operates with its own age- or duration-dependent probability. Translating between the independent single-decrement rates and the dependent multiple-decrement rates requires careful mathematical adjustment—often via the associated single-decrement table methodology—so that the combined probabilities reflect the real-world interplay of competing exits.

📐 Getting these models right has wide-ranging financial implications. If a [[Definition:Life insurance | life insurer]] underestimates [[Definition:Lapse rate | lapse]] decrements, it may over-reserve by assuming more policies remain in force than actually do, tying up [[Definition:Capital | capital]] unnecessarily. Conversely, underestimating mortality decrements exposes the insurer to paying more [[Definition:Death benefit | death benefits]] than anticipated. [[Definition:Regulatory compliance | Regulators]] and [[Definition:Rating agency | rating agencies]] evaluate the robustness of an insurer's decrement assumptions during [[Definition:Actuarial opinion | actuarial opinion]] reviews and financial examinations, and weak assumptions can trigger required capital increases or [[Definition:Corrective action | corrective actions]]. For [[Definition:Insurtech | insurtech]] companies exploring new product structures—such as on-demand or usage-based [[Definition:Life insurance | life]] and [[Definition:Health insurance | health]] products—building credible decrement models from often limited data is one of the earliest and most consequential analytical challenges they face.

'''Related concepts'''
{{Div col|colwidth=20em}}
* [[Definition:Mortality table]]
* [[Definition:Lapse rate]]
* [[Definition:Multiple decrement model]]
* [[Definition:Actuarial science]]
* [[Definition:Policy reserve]]
* [[Definition:Survival model]]
{{Div col end}}

Definition:Decrement model - Revision history

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