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📊 '''Probability of exhaustion''' is a measure used in insurance and reinsurance to quantify the likelihood that losses will consume the entire limit of a coverage layer, [[Definition:Policy limit | policy limit]], or [[Definition:Reinsurance | reinsurance]] attachment. Expressed as a percentage, it tells underwriters, actuaries, and portfolio managers how probable it is that a given layer of protection will be fully eroded by one or more loss events during the coverage period. This metric sits at the heart of [[Definition:Catastrophe modeling | catastrophe modeling]] and [[Definition:Pricing | pricing]] analysis, particularly in [[Definition:Property catastrophe insurance | property catastrophe]] and other peak-peril classes where extreme loss scenarios can rapidly burn through available limits.

⚙️ Calculating the probability of exhaustion draws on stochastic simulation — typically through [[Definition:Catastrophe model | catastrophe models]] developed by vendors such as Moody's RMS, Verisk, and CoreLogic, or through proprietary models built by sophisticated [[Definition:Reinsurer | reinsurers]] and [[Definition:Insurance-linked securities (ILS) | ILS]] funds. The model generates tens of thousands of potential loss scenarios, and the probability of exhaustion for a particular layer equals the proportion of simulated years in which total losses reach or exceed the layer's upper boundary. A high-[[Definition:Excess of loss reinsurance | excess]] layer attaching at a remote return period might carry a probability of exhaustion below 1%, while a lower working layer might show exhaustion probabilities of 10% or more. In [[Definition:Retrocession | retrocession]] markets and [[Definition:Catastrophe bond | catastrophe bond]] structuring, this metric directly influences the [[Definition:Risk premium | risk premium]] investors and reinsurers demand: layers with higher exhaustion probabilities command steeper pricing per unit of limit.

💡 Beyond pricing, the probability of exhaustion serves as a critical communication tool between cedants and their reinsurance panels. When a [[Definition:Cedant | cedant]] presents its program structure at renewal, exhaustion probabilities help [[Definition:Underwriter | underwriters]] compare layers across different programs on an apples-to-apples basis, regardless of differences in attachment points, territory, or peril mix. Regulators and [[Definition:Rating agency | rating agencies]] also pay attention — agencies like AM Best and S&P Global Ratings scrutinize whether an insurer's reinsurance program adequately protects its capital, and exhaustion metrics feed directly into those assessments. For [[Definition:Insurance-linked securities (ILS) | ILS]] investors evaluating [[Definition:Catastrophe bond | cat bonds]] or [[Definition:Collateralized reinsurance | collateralized reinsurance]] positions, the probability of exhaustion translates directly into expected loss and informs portfolio construction, making it one of the most widely referenced statistics in catastrophe risk transfer.

'''Related concepts:'''
{{Div col|colwidth=20em}}
* [[Definition:Probable maximum loss (PML)]]
* [[Definition:Return period]]
* [[Definition:Catastrophe modeling]]
* [[Definition:Attachment point]]
* [[Definition:Expected loss]]
* [[Definition:Tail value at risk (TVaR)]]
{{Div col end}}

Definition:Probability of exhaustion - Revision history

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