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Deterministic catastrophe scenario

A single catastrophe event, fully specified (track, intensity, footprint), whose loss on a portfolio is computed without attaching a probability to it, unlike a stochastic catalog.

Definition

A deterministic catastrophe scenario is a single event, fully specified (track, intensity, ground footprint), whose loss on a portfolio is computed without attaching a probability to it. It answers "how much if", where a stochastic catalog answers "how much, and how often". The oldest use is the replay. Hurricane Andrew made landfall south of Miami on August 24, 1992, and every reinsurer knows how to rerun what it would cost on today's portfolio, with today's values and today's building stock. Lloyd's turned this into a discipline with its Realistic Disaster Scenarios (RDS): prescribed footprints, sometimes a fixed industry loss, which each syndicate maps onto its exposures and reports gross and net. The math is straightforward. The footprint sets the intensity at each site, and the vulnerability and financial modules do the rest, with no sampling. So there is no mean or standard deviation to read, just one number. The result can be read on its own, or placed on the occurrence exceedance probability (OEP) curve to infer an implied return period, which differs from one portfolio to the next. The uses overlap: accumulation control, regulatory stress testing, a floor for a peril with no model. There is also the conversation with a board, which grasps "an Andrew over Miami" better than a 1-in-200 PML. A practitioner's caveat: a scenario measures the loss from an event its author picked. A portfolio can be organized to keep its RDS losses down while staying heavily loaded twenty kilometers from the footprint, where no scenario goes.

Its 6 cross-references, woven across the glossary's 18 categories
Deterministic catastrophe scenario: Actuarial science glossary illustration, AlgoPolis
Example

Textbook case, made-up figures: a reinsurer replays a historical windstorm on its European portfolio and gets a net loss of 180 million euros. Its OEP curve puts 180 million at a 60-year return period. The same scenario, replayed on a competitor's portfolio concentrated on the coast, lands at 150 years on that competitor's curve. One event, two return periods: the frequency comes from each company's curve, and the scenario carries none of its own.

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Related terms
Also known as

deterministic scenario, deterministic event, as-if historical event, historical event replay

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