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Presentation to CARE Conference Boston, MA June 15th, 2000. Overview. What models are there? What are they good for? What aren’t they good for? Four examples of model-inspired reinsurance structures Pitfalls. 1. Using Cat Models. What models do we use? EQECat US Wind US Quake
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Presentation to CARE Conference Boston, MA June 15th, 2000
Overview • What models are there? • What are they good for? • What aren’t they good for? • Four examples of model-inspired reinsurance structures • Pitfalls 1
Using Cat Models • What models do we use? • EQECat • US Wind • US Quake • World Cat • RMS • IRAS 3.7 • 4.1 being tested • AIR • Catrader • CLASIC • Dames & Moore • Tempest Re proprietary 2
What are they good for? • Underwriting/Pricing • Consulting with clients • Portfolio/Capital Management 1 4
Underwriting with Cat Models • Which perils are best suited to models? • Hurricane • Earthquake • Flood • Extra tropical storm 5
Underwriting with Cat Models • Which perils or issues are not? • Winter storm • Tornado/Hail • Freeze • Fire - Brush & Fire Following • Volcanic eruption • Riots, etc • Business Interruption • “Cross territorial” clash • “Non landfall” events (Floyd) 1 6
How do we use them? • Assess the data • Run the models simultaneously • Collate the output • Evaluate on differences • LOB • Data • Region • Peril • Cat Management credit 7
Pricing ROE = (Price*.9-0.11)/0.45+.04 ROL of 17.75% would produce sufficient ROE (15%) 10
Limit Example • Florida • Coverage to attach at a defined PML - e.g. 30 years • Limit to track 100 year PML • Price is simply a ROL applied to calculated limit ($40mm) 11
Limit Example • Florida • Limit and retention drop due to decrease in exposure • ROL now applied to a limit of $25mm excess $15mm • No more exposed than before, just lower down in dollar terms 12
Limit Example • Florida • Now limit has increased beyond year one • $62mm excess $38mm 13
Limit Example • Florida • Limit is usually capped ($65mm) 14
Limit Example • Florida • Even if 100 year pml is higher than $65mm excess $46mm • Results in more retained net 15
Limit Example • Florida • For Florida covers, a major complication is FHCF • Cover becomes a “Wrap” around FHCF • Warrant a minimum FHCF cover amount 16
Pricing Example • California Earthquake • Start up Residential EQ writer • Only needs limit as exposed on a month-to-month basis • Calculation: • Rate*(250 yr PML - attachment)*(GU Loss*probability)/10.5 17
Swap Example • Trade limit of coverage at pre-agreed EL • Requires transparent modeling • Like perils, or even diverse perils • Florida wind for Japan wind • Capital efficient • Could charge loss cost, or identical premium • Real benefit is release of capital 18
Structure Example • Models are not credible for some perils • Occurrence structure (hours clause) is not best suited to all perils • Not all clients fit into a model-designed solution • Examples • Other Wind • Winter Weather 19
Structure Example • Client wanted all ww claims to be classified as one occurrence - models can’t do that • Occurrence definition for cat cover would need to be broadened • Strip out ww claims & simulate trended historical experience • Add in other perils on more traditional hours clauses, using models • Capital selection is tricky 20
Pitfalls • Blocking and tackling is still required • Coverage A only Unicede • Exposure base as of when? • Commercial exposures are the same as Personal Line exposures • Event Set is incomplete • Model myopia 21
Pitfalls 250 Yr PML 22
Pitfalls 250 Yr PML 22
Conclusion • The old way of underwriting is no good 23
Conclusion • The old way of underwriting is no good • Models know best 23
Conclusion • The old way of underwriting is no good • Models know best • Models don’t know everything 23
Presentation to CARE Conference Boston, MA June 15th, 2000