CS-11 Tornado/Hail: To Model or Not To Model

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CS-11 Tornado/Hail: To Model or Not To Model CAS Seminar on Reinsurance- June 5, 2012 George Davis 2012 AIR WORLDWIDE CAS Seminar on Reinsurance 1

Antitrust Notice The Casualty Actuarial Society is committed to adhering strictly to the letter and spirit of the antitrust laws. Seminars conducted under the auspices of the CAS are designed solely to provide a forum for the expression of various points of view on topics described in the programs or agendas for such meetings. Under no circumstances shall CAS seminars be used as a means for competing companies or firms to reach any understanding expressed or implied that restricts competition or in any way impairs the ability of members to exercise independent business judgment regarding matters affecting competition. It is the responsibility of all seminar participants to be aware of antitrust regulations, to prevent any written or verbal discussions that appear to violate these laws, and to adhere in every respect to the CAS antitrust compliance policy.

Agenda Understanding the severe thunderstorm peril Motivation for modeling severe thunderstorm The scope of AIR s Severe Thunderstorm model Model validation 2012 AIR WORLDWIDE CAS Seminar on Reinsurance 3

2011 Was a Record-breaking Year for Severe Thunderstorm Losses PCS issued 24 Catastrophe Serial Numbers to severe thunderstorm events in 2011 18 events cost over $150 million each 6 events cost over $1 billion each Maximum reported losses $7.3 billion from Apr 22 28 storms affecting AL, AR, GA, IL, KY, LA, MO, MS, OH, OK, TN, TX, VA $6.9 Billion from May 20 27 storms affecting AR, GA, IA, IL, IN, KS, KY, MI, MN, MO, NC, NE, NY, OH, OK, PA, TN, TX, VA, WI Total losses from severe thunderstorms in 2011 exceed $26 billion The frequency, severity, and location of thunderstorms in 2011 led to significant losses 2012 AIR WORLDWIDE CAS Seminar on Reinsurance 4

Over Seven Days in April 2011, Damaging Hail, Tornadoes, and Wind Devastated the American Heartland Severe Storms April 22-28, 2011 Winds in excess of 100 mph Hail > 4.5 in size 393 damaging tornadoes 2012 AIR WORLDWIDE CAS Seminar on Reinsurance 5

Over Seven Days in May 2011, More Than 150 Confirmed Tornadoes Raged across the Heart of the Country Severe Storms May 20 27, 2011 Joplin, MO Dallas/Fort Worth, TX St Louis, MO Kansas City, KS 2012 AIR WORLDWIDE CAS Seminar on Reinsurance 6

All 48 Contiguous States Are Affected by Severe Thunderstorms PCS Losses, 1990-2011, Trended to 2011 Dollars 2012 AIR WORLDWIDE CAS Seminar on Reinsurance 7

Severe Thunderstorms Have Accounted for 42% of All U.S. Catastrophe Losses from 2001 to 2011 Tropical Storm 2% Wildfire 2% Earthquake 0% Hurricane 48% Severe Thunderstorm 42% Winter Storm 6% Source: PCS, trended to 2011 2012 AIR WORLDWIDE CAS Seminar on Reinsurance 8

Insured Losses from Severe Thunderstorm Can Be Very Volatile from Year to Year 30 Total U.S. Severe Thunderstorm Losses 25 Billion USD 20 15 10 5 0 Source: PCS, trended to 2011 2012 AIR WORLDWIDE CAS Seminar on Reinsurance 9

Loss Volatility Is Amplified at Higher Levels of Geographic Resolution Severe Thunderstorm Losses (PCS) Billions USD 5.0 4.5 4.0 3.5 3.0 2.5 2.0 1.5 1.0 0.5 0.0 Minnesota Arizona Source: PCS, trended to 2011 2012 AIR WORLDWIDE CAS Seminar on Reinsurance 10

Historical Event Analysis Is Not Sufficient for Managing Severe Storm Risk Volatility of historical loss data Frequency: active vs. inactive periods Severity: minor vs. severe event Limited nature of claims data Geographic distribution of historical activity Constantly changing landscape of exposure data New property development Building materials and design practices continue to evolve 2012 AIR WORLDWIDE CAS Seminar on Reinsurance 11

Historical Data From the Severe Thunderstorm Database Are Used to Generate the Model Event Set Severe Thunderstorm Database maintained by the Storm Prediction Center (SPC), which is part of NOAA Information based on reported sightings available starting from the 1950 s Over 250,000 microevents since 1974, including more than 25,000 tornadoes 100,000 hail storms 130,000 wind storms The historical data come in separate files and are grouped by AIR into macroevents based on geographic distribution and date of occurrence More than 2,400 historical macroevents have been generated based on these events 2012 AIR WORLDWIDE CAS Seminar on Reinsurance 12

Reasonable Expectations of Severe Thunderstorm Catastrophe Models Expected losses and distributions of potential losses down to a granular scale As severe thunderstorm risk is largely an aggregate issue, a simulation-year methodology is important to enable appropriate quantification of loss potential within simulated years Every year and event is a scenario, which can be used in understanding the range of potential outcomes and drivers of risk While the model is comprised of simulated events and years, the primary outputs are distributions of potential losses 2012 AIR WORLDWIDE CAS Seminar on Reinsurance 13

Occurrence Losses from the Major Severe Thunderstorm Events of 2011 Were Not Extreme Outliers Occurrence Losses (Billions USD) PCS 46: April 22-28 PCS 48: May 20-27 AAL 20% 10% 5% 2% 1% 0.4% 0.2% Exceedance Probability Note: Version 14 with 2011 exposure 2012 AIR WORLDWIDE CAS Seminar on Reinsurance 14

Cumulative Losses from Severe Thunderstorms in 2011 Have an Exceedance Probability of About 0.5% Losses from Storms in 2000, 2001, 2002, 2003, 2004, 2005, 2007 are < than AAL* Aggregate Losses (Billions USD) 2008, 2010 Storms* total: ~$11.5B 2006, 2009 Storms* total: ~$10B 2011 Storms total: ~ $26.2B AAL 20% 10% 5% 2% 1% 0.4% 0.2% Exceedance Probability * Trended to Present Dollars 2012 AIR WORLDWIDE CAS Seminar on Reinsurance 15

AIR s Severe Thunderstorm Catalog Contains Years that Resemble Losses of 2011 Year 8898 Northeast Severe Thunderstorm $216M Upper Midwest Severe Thunderstorm $323M Southeast Severe Thunderstorm $2,109M Midwest Severe Thunderstorm $149M Midwest Severe Thunderstorm $7,793M Texas Severe Thunderstorm $162M Southwest Severe Thunderstorm $94M Midwest Severe Thunderstorm $84M Midwest Severe Thunderstorm $9,201M Plains Severe Thunderstorm $51M Southwest Severe Thunderstorm $175M Upper Midwest Severe Thunderstorm $77M Upper Midwest Severe Thunderstorm $162M Upper Midwest Severe Thunderstorm $116M Upper Midwest Severe Thunderstorm $132M Texas Severe Thunderstorm $78M Midwest Severe Thunderstorm $93M Upper Midwest Severe Thunderstorm $292M Southeast Severe Thunderstorm $75M Gulf Severe Thunderstorm $56M Total Losses: $21.7 Billion 2012 AIR WORLDWIDE CAS Seminar on Reinsurance 16

Using Single Peril Analyses Will Lead to Underestimation of Catastrophe Risk EV 5% 2% 1% 0.40% 0.20% 0.10% Hurricane 78,508,811 339,071,187 503,429,518 693,817,715 959,262,565 1,092,055,628 1,303,179,422 EV 5% 2% 1% 0.40% 0.20% 0.10% Earthquake 27,120,338 158,879,967 264,089,927 405,934,077 742,971,254 983,646,511 1,141,000,940 EV 5% 2% 1% 0.40% 0.20% 0.10% Severe Thunderstorm 60,308,841 196,058,211 312,291,274 504,203,661 715,506,615 960,019,277 1,166,591,807 EV 5% 2% 1% 0.40% 0.20% 0.10% Combined Perils 129,915,455 430,705,438 655,847,183 866,008,366 1,116,176,497 1,318,694,700 1,685,204,827 2012 AIR WORLDWIDE CAS Seminar on Reinsurance 17

Understanding Large Aggregate Loss Years Helps Evaluate Alternative Reinsurance Options Year 5063 $1.227B $942M Florida Hurricane $125M Texas Severe Thunderstorm $33M Midwest Severe Thunderstorm $30M Gulf Severe Thunderstorm $12M Texas Severe Thunderstorm $11M Plains Winter Storm $10M Texas Severe Thunderstorm $10M Upper Midwest Winter Storm $200M + in Aggregate Severe Storm Losses Year 6753 $1.226B Year 2521 $1.222B $400M Florida Hurricane $638M California Earthquake $363M Texas Severe Thunderstorm $311M California Earthquake $332M Florida Hurricane $132M Texas Severe Thunderstorm $23M Midwest Severe Thunderstorm $19M Gulf Hurricane $12M California Wildfire $19M Southeast Severe Thunderstorm Severe Thunderstorm impacts aggregate $18M Midwest Winter Storm $15M California Wildfire 2012 AIR WORLDWIDE CAS Seminar on Reinsurance 18

Models Can Be Used to Identify Components of the Portfolio That Are Driving Severe Thunderstorm Risk State and County % of Total TIV Rank TIV % of Total AAL Rank AAL % of Total 1% TVaR Rank 1% TVaR Bergen, NJ 2.9% 1 2.4% 2 8.0% 1 Travis, TX 2.1% 2 2.1% 3 7.4% 2 Cuyahoga, OH 1.7% 7 2.1% 4 4.8% 3 Suffolk, NY 2.3% 3 2.7% 1 3.7% 4 Coweta, GA 1.1% 16 1.6% 9 3.7% 5 Baltimore, MD 1.7% 8 1.8% 6 3.5% 6 Oklahoma, OK 0.7% 4 1.8% 5 3.5% 7 Dallas, TX 1.6% 11 1.6% 8 3.1% 8 Lackawanna, PA 1.7% 9 1.5% 11 2.9% 9 Fairfield, CT 1.2% 14 1.0% 14 2.6% 10 2012 AIR WORLDWIDE CAS Seminar on Reinsurance 19

Severe Thunderstorm Model Is Appropriate for Use at the State and County Levels 0.35 0.3 Loss Cost (AAL/$1000 TIV) 0.25 0.2 0.15 0.1 0.05 0 Georgia Fulton County Forsythe County Sumter County Echols County 0 1 2 3 4 5 6 7 8 9 10 Years in Catalog (Thousands) Results are based on a sample company s actual exposure in Georgia 2012 AIR WORLDWIDE CAS Seminar on Reinsurance 20

Severe Thunderstorm What s Modeled and Not Modeled Modeled Perils Tornadoes Straight-line winds (>58mph) Hail (> 1 in diameter) Non-Modeled Perils Storm-induced flooding Loss from lightning strikes or resulting fires Modeled Coverages Coverage A - Dwelling Coverage B - Other Structures Coverage C - Contents / Personal Property Coverage D - Additional Living Expense / Business Interruption Non-Modeled Loss Components Loss adjustment expenses Hazardous waste removal Loss inflation due to political pressure Note: AIR only models events above $25 million in industry loss, consistent with the PCS definition 2012 AIR WORLDWIDE CAS Seminar on Reinsurance 21

Care Should Be Taken in Validating Modeled Losses Validation should only consider catastrophic events The model includes tail scenarios that have not yet occurred The granular nature of the peril contributes to the volatility in losses and, not surprisingly, results in disagreements between actual and modeled losses Modeled losses for catastrophic events must be combined with actual losses from non-catastrophic events in order to get a complete view of the risk from severe thunderstorms 2012 AIR WORLDWIDE CAS Seminar on Reinsurance 22

Key Summary Points Severe thunderstorm events are localized in nature, widespread throughout the U.S., and have produced significant losses There are substantial limitations to solely using historical loss data in managing severe thunderstorm risk A catastrophe model provides a more reliable view of the risk and can help manage severe thunderstorm risk across multiple functional areas AIR s model addresses the catastrophic portion of severe thunderstorm losses 2012 AIR WORLDWIDE CAS Seminar on Reinsurance 23