Exceedance probability
The probability that a loss exceeds a given threshold over a one-year period, the central curve in catastrophe modeling.
Article 101 of Directive 2009/138/EC of November 25, 2009: the Solvency Capital Requirement corresponds to a one-year Value-at-Risk at 99.5%, that is an annual exceedance probability of 0.5% and a 200-year return period. Exceedance probability (EP) is the probability that an annual loss exceeds a given level, and its curve runs through all of catastrophe modeling, from capital to XL layer pricing. Two versions are used. OEP (occurrence EP) looks at the largest single event of the year; AEP (aggregate EP) at the annual sum of losses. The 1% point corresponds to the 100-year return period, the reference metric in catastrophe cover discussions.
On an insurer's European windstorm OEP curve, the 1% loss (100-year return period) is EUR 450 million. This figure serves as the reference for sizing the cat XL reinsurance program.
Exceedance probability, exceedance probability curve
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