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📈 '''Exceedance probability curve''' is a graphical representation that maps every potential [[Definition:Loss | loss]] level in an insurance portfolio to the probability of that level being exceeded in a given time frame. Produced as a core output of [[Definition:Catastrophe model | catastrophe models]], the curve provides [[Definition:Insurance carrier | insurers]], [[Definition:Reinsurance | reinsurers]], and capital providers with a continuous view of risk — from frequent, low-severity events on the left side to rare, catastrophic scenarios on the right. It is the primary analytical tool used to translate raw model simulations into actionable metrics for [[Definition:Underwriting | underwriting]], capital allocation, and [[Definition:Reinsurance | reinsurance]] purchasing decisions.

🔧 Constructing the curve involves running a stochastic simulation of thousands of possible event scenarios against a portfolio's [[Definition:Exposure | exposure]] data. Each simulated year produces a set of losses, which the model ranks and assigns cumulative probabilities. The x-axis of the resulting curve shows loss amounts; the y-axis shows the [[Definition:Exceedance probability | exceedance probability]]. Two standard versions exist: the occurrence exceedance probability (OEP) curve, which reflects the probability of the largest single event loss exceeding a threshold, and the aggregate exceedance probability (AEP) curve, which accounts for the total of all event losses in a year. Analysts read specific points on the curve to extract key metrics — for example, the loss at the 1-in-100-year return period, which corresponds to a 1% exceedance probability.

🎯 Decision-makers across the insurance value chain rely on exceedance probability curves to make precise, quantifiable choices. A [[Definition:Chief risk officer (CRO) | chief risk officer]] uses the curve to determine how much [[Definition:Catastrophe excess-of-loss reinsurance | catastrophe reinsurance]] to buy and where to set [[Definition:Retention | retention]] levels. [[Definition:Rating agency | Rating agencies]] examine the shape of the curve — particularly the tail — to assess capital adequacy. [[Definition:Insurance-linked securities (ILS) | Insurance-linked securities]] investors study the curve to price [[Definition:Catastrophe bond | catastrophe bonds]]. Because the curve synthesizes an enormous amount of modeled data into a single visual, it enables comparison across portfolios, geographies, and perils, making it indispensable for strategic planning in any organization with significant catastrophe exposure.

'''Related concepts:'''
{{Div col|colwidth=20em}}
* [[Definition:Exceedance probability]]
* [[Definition:Catastrophe model]]
* [[Definition:Probable maximum loss (PML)]]
* [[Definition:Occurrence exceedance probability (OEP)]]
* [[Definition:Aggregate exceedance probability (AEP)]]
* [[Definition:Return period]]
{{Div col end}}

Definition:Exceedance probability curve - Revision history

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