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📉 '''Stochastic reserving''' is an [[Definition:Actuarial science | actuarial]] methodology that uses probabilistic models to estimate the range and distribution of an [[Definition:Insurance carrier | insurer's]] outstanding [[Definition:Loss reserve | claim liabilities]], rather than producing a single point estimate. While traditional deterministic methods — such as the [[Definition:Chain-ladder method | chain-ladder method]] — yield one "best estimate," stochastic reserving wraps a full probability distribution around that estimate, giving management and [[Definition:Insurance regulator | regulators]] explicit insight into the uncertainty embedded in reserve figures.

⚙️ Common stochastic reserving techniques include the [[Definition:Bootstrap method | bootstrap method]] applied to [[Definition:Loss triangle | loss development triangles]], the [[Definition:Mack method | Mack model]], and Bayesian approaches that incorporate prior knowledge alongside observed data. These methods simulate thousands of possible outcomes for how [[Definition:Claim | claims]] will develop and settle over time, producing a distribution from which key statistics — mean, standard deviation, percentiles, and [[Definition:Value at risk (VaR) | value at risk]] — can be extracted. [[Definition:Property and casualty insurance | Property-casualty]] actuaries frequently use stochastic reserving to quantify reserve risk for [[Definition:Internal capital model | internal capital models]], [[Definition:Dynamic financial analysis (DFA) | dynamic financial analysis]], and regulatory frameworks like [[Definition:Solvency II | Solvency II]] that require explicit risk margins.

🧩 The practical value of stochastic reserving lies in making uncertainty visible. A deterministic best estimate of $500 million in reserves tells decision-makers very little about whether the actual outcome might be $450 million or $600 million. Stochastic methods fill that gap, informing how much [[Definition:Statutory surplus | surplus]] a carrier should hold above the point estimate, how [[Definition:Reinsurance | reinsurance]] programs should be structured to cap downside exposure, and how confident the board can be in reported results. As regulatory expectations around reserve variability disclosure increase — and as [[Definition:Insurtech | insurtech]] tools make complex simulations more accessible — stochastic reserving is shifting from a specialist exercise to a standard component of sound reserve governance.

'''Related concepts'''
{{Div col|colwidth=20em}}
* [[Definition:Stochastic reserve]]
* [[Definition:Loss reserve]]
* [[Definition:Chain-ladder method]]
* [[Definition:Bootstrap method]]
* [[Definition:Dynamic financial analysis (DFA)]]
* [[Definition:Reserve risk]]
{{Div col end}}

Definition:Stochastic reserving - Revision history

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