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📐 '''Actuarial present value''' is the expected value of a future stream of payments or obligations, discounted to the present using both a [[Definition:Discount rate | discount rate]] (reflecting the time value of money) and probability-weighted assumptions about the likelihood and timing of those payments — most notably mortality, morbidity, lapse, and other [[Definition:Decrement | decrements]] specific to insurance. Unlike a simple financial present value calculation, which only accounts for the time value of money, actuarial present value integrates contingency: for a [[Definition:Life insurance | life insurance]] death benefit, it reflects the probability that the insured will die in each future period; for a [[Definition:Pension | pension]] or [[Definition:Annuity | annuity]] obligation, it reflects the probability that the recipient will survive to collect each payment. This dual-discounting framework makes it an indispensable tool in [[Definition:Life insurance | life]], [[Definition:Health insurance | health]], and [[Definition:Pension insurance | pension]] insurance valuation.

🧮 To compute actuarial present value, an [[Definition:Actuary | actuary]] projects the expected cash flows associated with an insurance obligation — benefits, expenses, and sometimes [[Definition:Premium | premium]] inflows — across all future periods. Each projected cash flow is multiplied by the probability that the triggering event (survival, death, disability, policy lapse) occurs in that period and then discounted back to the valuation date at an appropriate interest rate. The selection of assumptions is critical and varies by jurisdiction and accounting regime: under [[Definition:IFRS 17 | IFRS 17]], the discount rate reflects the characteristics of the insurance contract liabilities; under [[Definition:US GAAP | US GAAP]] standards for long-duration contracts (ASC 944 as updated by ASU 2018-12), assumptions are updated periodically with changes flowing through income or other comprehensive income; and under [[Definition:Solvency II | Solvency II]], the risk-free rate curve prescribed by EIOPA is typically used as a starting point. [[Definition:Mortality table | Mortality tables]], [[Definition:Morbidity table | morbidity tables]], [[Definition:Lapse rate | lapse rate]] assumptions, and expense projections all feed into the calculation, and even small changes in these inputs can materially alter the result.

💡 Getting actuarial present value right is foundational to nearly every major financial decision an insurer makes. It determines the [[Definition:Policy reserve | reserves]] that appear on the balance sheet, the [[Definition:Premium | premiums]] that must be charged for a product to be viable, the [[Definition:Embedded value | embedded value]] that investors use to assess a life insurer's worth, and the [[Definition:Capital requirement | capital]] needed to satisfy regulators under regimes such as Solvency II, the [[Definition:Risk-based capital (RBC) | risk-based capital]] framework in the United States, or [[Definition:C-ROSS | C-ROSS]] in China. Misstating the actuarial present value of liabilities — whether through overly optimistic mortality assumptions or an inappropriately high discount rate — can mask underfunding, erode [[Definition:Surplus | surplus]], and ultimately threaten [[Definition:Solvency | solvency]]. For this reason, regulatory and professional standards around the world impose rigorous requirements on the assumptions, methods, and governance processes that underpin these calculations.

'''Related concepts:'''
{{Div col|colwidth=20em}}
* [[Definition:Discount rate]]
* [[Definition:Mortality table]]
* [[Definition:Policy reserve]]
* [[Definition:IFRS 17]]
* [[Definition:Embedded value]]
* [[Definition:Actuary]]
{{Div col end}}

Definition:Actuarial present value - Revision history

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