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📉 '''Multiple decrement model''' is an [[Definition:Actuarial science | actuarial]] framework used to analyze the probability that an insured individual will exit a defined status — such as being alive, employed, or actively covered under a policy — due to any one of several competing causes. In [[Definition:Life insurance | life insurance]] and [[Definition:Health insurance | health insurance]], these decrements commonly include death, disability, lapse, surrender, and retirement, each of which removes the individual from the insured population through a different pathway. The model extends the logic of a simple [[Definition:Life table | life table]] (which tracks only mortality) by incorporating multiple simultaneous hazards, enabling actuaries to build more realistic projections of when and why policyholders leave the book.

⚙️ Mathematically, a multiple decrement table assigns each cause of exit its own age-specific or duration-specific rate, and the overall probability of remaining in the insured group at any point is the product of surviving all decrements simultaneously. Each decrement operates as a competing risk: if a policyholder lapses in year three, that individual is no longer exposed to claims from death or disability in subsequent years. Actuaries construct these models using historical experience data — [[Definition:Mortality table | mortality tables]], [[Definition:Lapse rate | lapse studies]], disability incidence rates — and combine them into a unified projection. This is essential for pricing products like [[Definition:Group life insurance | group life insurance]], [[Definition:Pension | pension]] buy-ins, and [[Definition:Long-term care insurance | long-term care]] policies, where the interaction among decrements materially affects [[Definition:Reserve | reserve]] adequacy and [[Definition:Premium | premium]] sufficiency. Under [[Definition:IFRS 17 | IFRS 17]] and similar valuation standards, the explicit modeling of multiple decrements feeds directly into the calculation of [[Definition:Best estimate liability | best estimate liabilities]] and [[Definition:Risk adjustment | risk adjustments]].

🔍 Getting decrement assumptions wrong can have significant financial consequences. Underestimating lapse rates, for example, may lead an insurer to hold excessive reserves for future claims that will never materialize because the policies will have already been surrendered. Conversely, overestimating lapses on a profitable long-term product erodes projected future margins. The interactions between decrements add further complexity: economic downturns may simultaneously increase disability claims and reduce voluntary lapse rates as policyholders cling to existing coverage. Actuaries in markets governed by [[Definition:Solvency II | Solvency II]], [[Definition:US GAAP | US GAAP]], or the [[Definition:China Risk Oriented Solvency System (C-ROSS) | C-ROSS]] framework must calibrate these assumptions with care, often stress-testing them under adverse scenarios as part of [[Definition:Own Risk and Solvency Assessment (ORSA) | ORSA]] or internal capital modeling exercises. As data analytics capabilities improve, insurers are increasingly moving from static decrement tables toward dynamic, experience-driven models that update assumptions in near-real time.

'''Related concepts:'''
{{Div col|colwidth=20em}}
* [[Definition:Actuarial science]]
* [[Definition:Life table]]
* [[Definition:Lapse rate]]
* [[Definition:Mortality table]]
* [[Definition:Reserve]]
* [[Definition:IFRS 17]]
{{Div col end}}

Definition:Multiple decrement model - Revision history

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